Ball & Roller Bearings
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1 Ball & Roller Bearings CAT. NO. B1E-
2 1 Structures and types A 1 Outline of selection A 14 Selection of type A 16 4 Selection of arrangement A 5 Selection of dimensions A 4 Boundary dimensions 6 A 46 and numbers 7 Tolerances A 5 8 Limiting speed A 78 9 Fits A 8 Internal 1 clearance A 9 11 Preload A 16 1 Lubrication A Materials A 1 16 Failures Shaft and 14 housing design A 15 A Handling A 1 Technical section Open type B 8 68, 69, 16, 6 6, 6, 64 Shielded/sealed type B Z, RU RD, RS Locating snap ring type B N NR Extra-small & miniature B 8 (flanged type B 44) Double-row B 5 [4, 4] Deep groove ball s Single-row B 6 79, 7, 7, 7, 74 ACH9, ACH Matched pair B 9 DB, DF DT Double-row B 14,, 5, RS, 5...RS Four-point contact B 1 [6...BI, 6...BI] Angular contact ball s Open type B 16 1, 1, Sealed type B RS...RS Extended inner ring type B 148 [11, 11] Adapter assemblies B 15 Self-aligning ball s Single-row B 158 NU1, NU, NU, NU NU, NU, NU, NU4 Thrust collars B 184 [HJ] Double-row B 194 NN NNU49 Cylindrical roller NU NJ Metric series B 4 Inch series B 6 9,,, 1,,,, D, 1,, IS R, RR RH, RHR RHA NUP N NF NN NNU Single direction B 5 511, 51, 51, 514 5, 5, 54 5U, 5U, 54U Needle roller and cage ass'y B 88 Drawn cup type B 4 TDO type B 8 TDI type B 96 46, 46, 46T, 46T 46T, 46TD, 46T [45, 45] B 6 Adapter assemblies B Withdrawal sleeves B 8 9,, 4, 1, 41,, 1, Machined ring type B 44 Double direction B 6 5, 5, 54 54, 54, U, 54U, 544U Thrust B 44 B 68 [9, 9, 94] Stud type track rollers (cam followers) B 45 Yoke type track rollers (roller followers) B 454 (Miniature one-way clutches) B 46 Bearing specification tables Tapered roller s s Spherical roller s Thrust ball, Spherical thrust roller s Needle roller s B 47 B 49 B 5 B 51 B 518 B 54 Split type B 544 [SN, SSN, SD] One-piece type B 57 [V] Ball s for units B 58 Ball units Plummer blocks Ceramic & series C 1 Vacuum ball s, ceramic s, self-lubricating clean ball s, linear ball s for vacuum K-series super thin section ball s C 7 Bearings for machine tool spindles (for support of axial loading) C 47 Precision ball screw support s and units C 65 Full complement type cylindrical roller s for crane sheaves C 71 Rolling mill roll neck s C 81 Bearings for railway rolling stock axle journals C 19 Linear ball s C 149 Accessories C 16 Special purpose s Supplementary tables D 1 D 8 Supplementary tables Tecnopoint srl Tel Fax [email protected]
3 BALL & ROLLER BEARINGS CAT. NO. B1E- Tecnopoint srl Tel Fax
4 Publication of Rolling Bearing Catalog Today s technology-based society, in order to utilize the earth s limited resources effectively and protect the environment, must strive to develop new technologies and alternate energy sources, and in that connection it continues to pursue new targets in various fields. To achieve such targets, technically advanced and highly functional rolling s with significantly greater compactness, lighter weight, longer life and lower friction as well as higher reliability during use in special environments are sought. This new-edition catalog is based on the results of wide-ranging technical studies and extensive R&D efforts and will enable the reader to select the optimal for each application. In addition to standard s, this catalog provides information on a variety of s for specific purposes, such as ball units, plummer blocks, and JTEKT EXSEV series (s for extreme special environments). JTEKT is confident that you will find this new catalog useful in the selection and use of rolling s. JTEKT is grateful for your patronage and look forward to continuing to serve you in the future. The contents of this catalog are subject to change without prior notice. Every possible effort has been made to ensure that the data herein is correct; however, JTEKT cannot assume responsibility for any errors or omissions. Reproduction of this catalog without written consent is strictly prohibited Tecnopoint srl Tel Fax [email protected]
5 Contents Technical section 1 Rolling structures and types 1-1 Structure... A 1 1- Type... A 1 Outline of selection... A 14 Selection of type... A 16 Selection of 4 arrangement... A Selection of dimentions 5-1 Bearing service life... A 4 5- Calculation of service life... A 4 5- Calculation of loads... A Dynamic equivalent load... A Basic static load rating and static equivalent load... A Allowable axial load for cylindrical roller s... A Applied calculation examples.. A 41 Boundary dimensions and numbers 6-1 Boundary dimensions... A Dimensions of snap ring grooves and locating snap rings... A Bearing number... A 48 Bearing tolerances 7-1 Tolerances and tolerance classes for s... A 5 7- Tolerance measuring method.. A Limiting speed 8-1 Correction of limiting speed...a Limiting speed for sealed ball s...a Considerations for high speed...a Frictional coefficient (refer.)...a 79 Bearing fits 9-1 Purpose of fit...a 8 9- Tolerance and fit for shaft & housing...a 8 9- Fit selection...a Recommended fits...a 84 Bearing internal clearance 1-1 Selection of internal clearance...a 9 1- Operating clearance...a Preload Purpose of preload...a Method of preloading...a Preload and rigidity...a Amount of preload...a 18 Bearing lubrication 1-1 Purpose and method of lubrication...a Lubricant...A Bearing materials 1-1 Bearing rings and rolling elements materials...a 1 1- Materials used for cages...a 14 Shaft and housing design 14-1 Accuracy and roughness of shafts and housings...a Mounting dimensions...a Shaft design...a Sealing devices...a 19 Handling of s 15-1 General instructions...a Storage of s...a Bearing mounting...a Test run...a Bearing dismounting...a Maintenance and inspection of s...a Methods of analyzing failures...a 14 Examples of failures...a 144 Specification tables [Standard s] Contents... B Deep groove ball s... B 4 Angular contact ball s... B 5 Self-aligning ball s... B 14 Cylindrical roller s...b 154 Tapered roller s...b Spherical roller s...b Thrust ball s...b 48 Spherical thrust roller s... B 66 Needle roller s... B 74 Ball units... B 46 Plummer blocks... B 54 [Special purpose s] Ceramic & EXSEV series... C 1 K-series super thin section ball s... C 7 Bearings for machine tool spindles (for support of axial loading)... C 47 Precision ball screw support s and units... C 65 Full complement type cylindrical roller s for crane sheaves... C 71 Rolling mill roll neck s... C 81 Bearings for railway rolling stock axle journals... C 19 Linear ball s... C 149 Locknuts, lockwashers & lock plates... C 16 Supplementary tables 1 Boundary dimensions of radial s... D 1 Boundary dimensions of tapered roller s... D 5 Boundary dimensions of single direction thrust s... D 7 4 Boundary dimensions of double direction thrust ball s... D 9 5 Dimension of snap ring grooves and locating snap rings... D 11 6 Shaft tolerances... D 15 7 Housing bore tolerances... D 17 8 Numerical values for standard tolerance grades IT... D 19 9 Greek alphabet list... D 1 Prefixes used with SI units... D 11 SI units and conversion factors... D 1 1 Inch/millimeter conversion... D 5 1 Steel hardness conversion... D 6 14 Surface roughness comparison... D 7 15 Viscosity conversion... D 8 Tecnopoint srl Tel Fax [email protected]
6 1. Rolling structures and types 1-1 Structure Rolling s (s hereinafter) normally comprise rings, rolling elements and a cage. (see Fig. 1-1) Rolling elements are arranged between inner and outer rings with a cage, which retains the rolling elements in correct relative position, so they do not touch one another. With this structure, a smooth rolling motion is realized during operation. Bearings are classified as follows, by the number of rows of rolling elements : single-row, double-row, or multi-row (triple- or four-row) s. Deep groove ball Outer ring Ball Inner ring Cage Thrust ball Tapered roller Shaft race Ball Cage Cage Housing race Outer ring Roller Inner ring Note) In thrust s inner and outer rings and also called shaft race and housing race respectively. The race indicates the washer specified in JIS. ) Rolling element Rolling elements may be either balls or rollers. Many types of s with various shapes of rollers are available. Ball Cylindrical roller (L W D W )* Long cylindrical roller (D W L W 1D W, D W > 6 mm)* Needle roller (D W L W 1D W, D W 6 mm)* Tapered roller (tapered trapezoid) Convex roller (barrel shape) * L W : roller length (mm) D W : roller (mm) ) Cage The cage guides the rolling elements along the rings, retaining the rolling elements in correct relative position. There are various types of cages including pressed, machined, molded, and pin type cages. Due to lower friction resistance than that found in full complement roller and ball s, s with a cage are more suitable for use under high speed rotation. 1- Type The contact angle (α) is the angle formed by the direction of the load applied to the rings and rolling elements, and a plan perpendicular to the shaft center, when the is loaded. α = α α = 9 Fig. 1-1 Bearing structure 1) Bearing rings The path of the rolling elements is called the raceway; and, the section of the rings where the elements roll is called the raceway surface. In the case of ball s, since grooves are provided for the balls, they are also referred to as raceway grooves. The inner ring is normally engaged with a shaft; and, the outer ring with a housing. Bearings are classified into two types in accordance with the contact angle (α). Radial s ( α 45 )... designed to accommodate mainly radial load. Thrust s (45 < α 9 )... designed to accommodate mainly axial load. Rolling s are classified in Fig. 1-, and characteristics of each type are described in Tables 1-1 to 1-1. A A 1 Tecnopoint srl Tel Fax [email protected]
7 1. Rolling structures and types Radial ball Radial Deep groove ball Angular contact ball Four-point contact ball Single-row Single-row Double-row Matched pair or stack Double-row Bearings classified by use [Automobile] Wheel hub unit Clutch release Water pump Tensioner unit Self-aligning ball Universal joint cross Radial roller Rolling Thrust ball Thrust Cylindrical roller Needle roller Tapered roller Spherical roller Thrust ball Angular contact thrust ball Single-row Single-row Single-row Single direction Single direction Double-row Double-row Double-row with aligning seat race Double direction Double direction Four-row Four-row with aligning seat races Railway rolling stock Electric equipment Business equipment Construction equipment Industrial equipment Steel industry equipment Paper manufacturing equipment [Aircraft] Axle journal Integral unit Crane sheave Split for continuous casting Jet engine Plastic pulley unit Slewing rim Back-up roll unit for hot leveler Swimming roll triple ring Thrust roller Cylindrical roller thrust Needle roller thrust Others Ball unit Plummer block Tapered roller thrust Spherical thrust roller Single direction Double direction Stud type track roller (cam follower) Yoke type track roller (roller follower) Linear ball (linear motion ) Fig. 1-(1) Rolling s Fig. 1-() Rolling s A A Tecnopoint srl Tel Fax [email protected]
8 1. Rolling structures and types Table 1-1 Deep groove ball s Table 1- Angular contact ball s Single-row Double-row Single-row Matched pair Double-row Open type Shielded type Non-contact sealed type Contact sealed type Extremely light contact sealed type With locating snap ring Flanged type For highspeed use Back-to-back arrangement Face-to-face arrangement Tandem arrangement ZZ RU RS 68, 69, 6, 6, 6, (ML) Extra-small, miniature 68, 69, 16, 6, 6, 6, 64 The most popular types among rolling s, widely used in a variety of industries. Radial load and axial load in both directions can be accommodated. Suitable for operation at high speed, with low noise and low vibration. Sealed s employing steel shields or rubber seals are filled with the appropriate volume of grease when manufactured. RK 4 4 Bearings with a flange or locating snap ring attached on the outer ring are easily mounted in housings for simple positioning of housing location. [Recommended cages] Pressed steel cage (ribbon type, snap type single-row, S type double-row), copper alloy or phenolic resin machined cage, synthetic resin molded cage [Main applications] Automobile : front and rear wheels, transmissions, electric devices Electric equipment : standard motors, electric appliances for domestic use Others : measuring instruments, internal combustion engines, construction equipment, railway rolling stock, cargo transport equipment, agricultural equipment, equipment for other industrial uses Outer ring chamfer Outer ring raceway Inner ring raceway Inner ring chamfer Pressed cage (ribbon type) Bearing width Seal Bore Pitch of ball set Outside Groove shoulder Machined cage Locating snap ring Snap ring groove RD Bearing outside surface Bearing bore surface Face NR Pressed cage (S type) Suitable for extra-small or miniature Filling slot Bearing size (Reference) Unit : mm Connotation Bore Outside Miniature Under 9 Extra-small Under 1 9 or more Small size 1 or more 8 or less Medium size 8 18 Large size 18 8 Extra-large size Over 8 With With pressed cage machined cage HAR DB DF DT (With filling slot) 7, 7, 7, 74 Contact angle 7B, 7B, 7B, 74B 4 79C, 7C, 7C, 7C... Contact 15 HAR9C, HARC angle Bearing rings and balls possess their own contact angle which is normally 15, or 4. Larger contact angle higher resistance against axial load Smaller contact angle more advantageous for high-speed rotation Single-row s can accommodate radial load and axial load in one direction. DB and DF matched pair s and double-row s can accommodate radial load and axial load in both directions. DT matched pair s are used for applications where axial load in one direction is too large for one to accept. HAR type high speed s were designed to contain more balls than standard s by minimizing the ball, to offer improved performance in machine tools. Angular contact ball s are used for high accuracy and high-speed ZZ (Shielded) operation. 5 5 Contact angle 4 Axial load in both directions and radial load can be accommodated by adapting a structure pairing two single-row angular contact ball s back to back. For s with no filling slot, the sealed type is available. RS (Sealed) [Recommended cages] Pressed steel cage (conical type single-row : S type, snap type double-row), copper alloy or phenolic resin machined cage, synthetic resin molded cage [Main applications] Single-row : machine tool spindles, high frequency motors, gas turbines, centrifugal separators, front wheels of small size automobiles, differential pinion shafts Double-row : hydraulic pumps, roots blowers, air-compressors, transmissions, fuel injection pumps, printing equipment Outer ring back face Inner ring front face Outer ring front face Inner ring back face Contact angle Load center Pressed cage (conical type) Stepped inner ring Machined cage Counterbored outer ring Ball and ring are not separable. Stand-out( δ ) Stand-out( δ 1 ) Contact angles (Reference) Contact angle Supplementary code 15 C CA 5 AC A (Omitted) 5 E 4 B "G type" s are processed (with flush ground) such that the stand-out turns out to be δ 1 = δ. The matched pair DB, DF, and DT, or stack are available. A 4 A 5 Tecnopoint srl Tel Fax [email protected]
9 1. Rolling structures and types Table 1- Four-point contact ball s One-piece type Two-piece inner ring Two-piece outer ring Table 1-4 Self-aligning ball s Cylindrical bore Tapered bore Sealed Table 1-5 Cylindrical roller s Single-row Double-row Four-row 6BI 6BI (6BO) (6BO) Radial load and axial load in both directions can be accommodated. A four-point contact ball can substitute for a face-to-face or back-to-back arrangement of angular contact ball s. Suitable for use under pure axial load or combined radial and axial load with heavy axial load. This type of possesses a contact angle (α) determined in accordance with the axial load direction. This means that the ring and balls contact each other at two points on the lines forming the contact angle. [Recommended cage] Copper alloy machined cage [Main applications] Motorcycle : Transmission, driveshaft pinion-side Automobile : Steering, transmission Contact angle ( α) Load center α Two-piece outer ring Pressed cage (staggered type) Two-piece inner ring Bore (u d) K (Taper 1 : 1) 1, 1 11, 11 1, 1 extended inner ring type, RS RS RS Spherical outer ring raceway allows selfalignment, accommodating shaft or housing deflection and misaligned mounting conditions. Tapered bore design can be mounted readily using an adapter. Pressed steel cage staggered type 1, 1,...RS,...RS snap type, Power transmission shaft of wood working and spinning machines, plummer blocks Large end of tapered bore (u d 1 ) Bearing width (B) Small end of tapered bore (u d) NU NJ NUP N NF NH NN NNU NU1, NU (R), NU (R), NU4 NU (R), NU (R) NU, NU Since the design allowing linear contact of cylindrical rollers with the raceway provides strong resistance to radial load, this type is suitable for use under heavy radial load and impact load, as well as at high speed. N and NU types are ideal for use on the free side: they are movable in the shaft direction in response to changes in position relative to the shaft or housing, which are caused by heat expansion of the shaft or improper mounting. Cylindrical bore Tapered bore NNU49 NNU49K NN NNK (FC), (4CR) NJ and NF types can accommodate axial load in one direction; and NH and NUP types can accommodate partial axial load in both directions. With separable inner and outer ring, this type ensures easy mounting. Due to their high rigidity, NNU and NN types are widely used in machine tool spindles. [Recommended cages] Pressed steel cage (Z type), copper alloy machined cage, pin type cage, synthetic resin molded cage [Main applications] Large and medium size motors, traction motors, generators, internal combustion engines, gas turbines, machine tool spindles, speed reducers, cargo transport equipment, and other industrial equipment Rib Machined cage Grinding undercut Roller set bore Rib Grinding undercut Pressed cage (Z type) Roller set outside Mainly use on rolling mill roll neck Lubrication groove Lubrication hole Machined cage Center rib Rib Center rib Rib Pressed cage (snap type) (d 1 = d + 1 B) 1 Lockwasher Locknut Adapter sleeve Adapter assembly Loose rib Thrust collar Loose rib Spacer Guide ring Pin type cage (suitable for large size s) Removal groove A 6 A 7 Tecnopoint srl Tel Fax [email protected]
10 1. Rolling structures and types Table 1-6 Machined ring needle roller s Single-row Double-row Table 1-7 Tapered roller s Single-row Double-row Four-row With inner ring Without inner ring Sealed With inner ring Without inner ring NA49 NA59 (NQI, NQIS) RNA49 RNA59 (NQ, NQS) NA49UU NA69 RNA69 In spite of their basic structure, which is the same as that of NU type cylindrical roller s, s with minimum ring sections offer space savings and greater resistance to radial load, by using needle rollers. Bearings with no inner rings function using heat treated and ground shafts as their raceway surface. [Recommended cage] Pressed steel cage [Main applications] Automobile engines, transmissions, pumps, power shovel wheel drums, hoists, overhead traveling cranes, compressors (Reference) Many needle roller s other than those with machined ring are available. For further details, refer to the section, "needle roller Lubrication groove specification table". Outer ring Lubrication hole Inner ring Pressed cage Needle roller and cage assemblies Standard Inter mediate Steep contact angle contact angle contact angle 9JR JR CR DJ JR JR CR DJR JR JR CR 1JR 1JR JR CR JR Flanged type TDO type TDI type Mainly used on rolling mill roll necks Tapered rollers assembled in the s are guided by the inner ring back face rib. The raceway surfaces of inner ring and outer ring and the rolling contact surface of rollers are designed so that the respective apexes converge at a point on the center line. Single-row s can accommodate radial load and axial load in one direction, and double-row s can accommodate radial load and axial load in both directions. This type of is suitable for use under heavy load or impact load A (45T) 46A (46T) (47T) (4TR) Bearings are classified into standard, intermediate and steep types, in accordance with their contact angle (α). The larger the contact angle is, the greater the resistance to axial load. Since outer ring and inner ring assembly can be separated from each other, mounting is easy. Bearings designated by the suffix "J" and "JR" are interchangeable internationally. Items sized in inches are still widely used. [Recommended cages] Pressed steel cage, synthetic resin molded cage, pin type cage [Main applications] Automobile : front and rear wheels, transmissions, differential pinion Others : machine tool spindles, construction equipment, large size agricultural equipment, railway rolling stock speed reduction gears, rolling mill roll necks and speed reducers, etc Bearing width Rib Drawn cup needle roller s Stud type track roller (cam follower) Yoke type track roller (roller follower) Outer ring Same as contact angle Outer ring angle Pressed cage (window type) Lubrication Anti-rotation groove pin hole Double outer ring Lubrication hole Pin type cage Overall width of inner rings Inner ring spacer Inner ring Double inner ring Contact angle ( ) α Load center Roller small end face Inner ring front face rib Outer ring small inside Front Back face face Front face Back face Overall width of outer rings Outer ring spacer with lubrication holes and lubrication groove Center rib Outer ring width Inner ring width Stand-out Roller large end face Inner ring front face rib Inner ring back face rib A 8 A 9 Tecnopoint srl Tel Fax [email protected]
11 1. Rolling structures and types Table 1-8 Spherical roller s Table 1-9 Thrust ball s Convex asymmetrical roller type Cylindrical bore Convex symmetrical roller type Tapered bore With flat back faces Single direction With spherical back face With aligning seat race With flat back faces Double direction With spherical back faces With aligning seat races R, RR RH, RHR RHA K or K 9R, R (RH, RHA), 1R (RH, RHA), R (RH, RHA), 1R (RH) 4R (RH, RHA), 41R (RH, RHA), R (RH, RHA), R (RH, RHA) Spherical roller s comprising barrel-shaped convex rollers, double-row inner ring and outer ring are classified into three types : R(RR), RH(RHR) and RHA, according to their internal structure. With the designed such that the circular arc center of the outer ring raceway matches with the center, the is self-aligning, insensitive to errors of alignment of the shaft relative to the housing, and to shaft bending. This type can accommodate radial load and axial load in both directions, which makes it especially suitable for applications in which heavy load or impact load is applied. The tapered bore type can be easily mounted/ dismounted by using an adapter or withdrawal sleeve. There are two types of tapered bores (tapered ratio) : 1 : supplementary Suitable for code K series 4 and : 1 supplementary Suitable for series code K other than 4 and 41. Lubrication holes, a lubrication groove and antirotation pin hole can be provided on the outer ring. Lubrication holes and a lubrication groove can be provided on the inner ring, too. [Recommended cages] Copper alloy machined cage, pressed steel cage, pin type cage [Main applications] Paper manufacturing equipment, speed reducers, railway rolling stock axle journals, rolling mill pinion stands, table rollers, crushers, shaker screens, printing equipment, wood working equipment, speed reducers for various industrial uses, plummer blocks Convex asymmetrical roller Outer ring Rib Inner ring Center rib Machined cage separable prong type Convex symmetrical roller Guide ring Pressed cage Rib Convex symmetrical roller Guide ring Large end of tapered bore (u d 1 ) Machined cage (prong type) Anti-rotation pin hole Small end of tapered bore (u d) U 5U 54U This type of comprises washer-shaped rings with raceway groove and ball and cage assembly. Races to be mounted on shafts are called shaft races (or inner rings); and, races to be mounted into housings are housing races (or outer rings). Central races of double direction s are mounted on the shafts U 54U 544U Single direction s accommodate axial load in one direction, and double direction s accommodate axial load in both directions. (Both of these s cannot accommodate radial loads.) Since s with a spherical back face are self- aligning, it helps to compensate for mounting errors. [Recommended cages] Pressed steel cage, copper alloy or phenolic resin machined cage, synthetic resin molded cage [Main applications] Automobile king pins, machine tool spindles Machined cage Bore (u d) Outside (u D) Shaft race Housing race Aligning surface radius Pressed cage Aligning surface center height Aligning housing race Bearing height Adapter sleeve R, RR type RH, RHR type RHA type Lubrication groove Lockwasher Locknut Adapter sleeve Locknut Lock plate Withdrawal sleeve Outer ring guided machined cage Lubrication hole (Shaft 18 mm) (Shaft mm) (For shaker screen) Shaft race back face Housing race back face chamfer Raceway contact Shaft race back face chamfer Housing race back face [Remark] The race indicates the washer specified in JIS. Aligning housing race Race height Aligning seat race Central race Aligning seat race A 1 A 11 Tecnopoint srl Tel Fax [email protected]
12 1. Rolling structures and types Table 1-1 Cylindrical roller thrust s Table 1-11 Needle roller thrust s Table 1-1 Tapered roller thrust s Table 1-1 Spherical thrust roller s Single direction Separable Non-separable Single direction Double direction (THR...R) This type of comprises washer-shaped rings (shaft and housing race) and cylindrical roller and cage assembly. Crowned cylindrical rollers produce uniform pressure distribution on roller/raceway contact surface. Axial load can be accommodated in one direction. Great axial load resistance and high axial rigidity are provided. [Recommended cages] Copper alloy machined cage [Main applications] Oil excavators, iron and steel equipment (TPW) (TPWS) (TPWWS) (TPK) (TVK) The separable type, comprising needle roller and cage thrust assembly and a race, can be matched with a pressed thin race (W) or machined thick race (WS). The non-separable type comprises needle roller and cage thrust assembly and a precision pressed race. Axial load can be accommodated in one direction. Due to the very small installation space required, this type contributes greatly to size reduction of application equipment. In many cases, needle roller and cage thrust assembly function by using the mounting surface of the application equipment, including shafts and housings, as its raceway surface. Pressed steel cage, synthetic resin molded cage Transmissions for automobiles, cultivators and machine tools (T) (THR) (THR) This type of comprises tapered rollers (with spherical large end), which are uniformly guided by ribs of the shaft and housing races. Both shaft and housing races and rollers have tapered surfaces whose apexes converge at a point on the axis. Single direction s can accommodate axial load in one direction; and, double direction s can accommodate axial load in both directions. Double direction s are to be mounted such that their central race is placed on the shaft shoulder. Since this type is treated with a clearance fit, the central race must be fixed with a sleeve, etc. [Recommended cages] Copper alloy machined cage [Main applications] Single direction : crane hooks, oil excavator swivels Double direction : rolling mill roll necks This type of, comprising barrel-shaped convex rollers arranged at an angle with the axis, is self-aligning due to spherical housing race raceway; therefore, shaft inclination can be compensated for to a certain degree. Great axial load resistance is provided. This type can accommodate a small amount of radial load as well as heavy axial load. Normally, oil lubrication is employed. Copper alloy machined cage Hydroelectric generators, vertical motors, propeller shafts for ships, screw down speed reducers, jib cranes, coal mills, pushing machines, molding machines Machined cage Shaft race Housing race Cylindrical roller Pressed cage Molded cage Needle roller Race Race [Remark] The race indicates the thrust washer or washer specified in JIS. Tapered roller Machined cage Roller large end Shaft race Rib Housing race Roller small end Housing race Convex roller Machined cage Shaft race Housing race Cage guide sleeve Machined cage Central race Housing race A 1 A 1 Tecnopoint srl Tel Fax [email protected]
13 . Outline of selection Currently, as design has become diversified, their application range is being increasingly extended. In order to select the most suitable s for an application, it is necessary to conduct a comprehensive study on both s and the equipment in which the s will be installed, including operating conditions, the performance required of the s, specifications of the other components to be installed along with the s, marketability, and cost performance, etc. In selecting s, since the shaft is usually determined beforehand, the prospective type is chosen based upon installation space, intended arrangement, and according to the bore required. Next, from the specifications are determined the service life required when compared to that of the equipment in which it is used, along with a calculation of the actual service life from operational loads. Internal specifications including accuracy, internal clearance, cage, and lubricant are also selected, depending on the application. For reference, general selection procedure and operating conditions are described in Fig. -1. There is no need to follow a specific order, since the goal is to select the right to achieve optimum performance. q Bearing type, arrangement w Bearing dimension e Tolerance class r Fit and internal clearance ( Operating conditions to be considered) ( Other data) Installation space Load magnitude, types and direction of application Rotational speed Running accuracy Rigidity Misalignment Mounting ease Bearing arrangement Noise characteristics, friction torque Marketability, cost performance Reference page No. A 16 A Specifications for installation Recommended service life Dynamic equivalent load Static equivalent load, safety coefficient Rotational speed Bearing boundary dimensions Basic dynamic load rating A 8 A 4 A 8 A 46 A 4 Basic static load rating A 8 Allowable axial load A 4 (for cylindrical roller with rib) Running accuracy (runout) Noise characteristics, friction torque Rotational speed Bearing tolerances A 5 Load magnitude, types Operational temperature distribution Materials, size and tolerances of shaft and housing Fit A 8 Difference in temperature of inner and outer rings Rotational speed Preload A 16 Bearing tolerances A 5 Bearing internal clearance A 9 Comparison of performance of types Example of arrangement A 18 A 1 t y u i Countermeasure for special Lubrication, lubricant, Cage type, material environmental condition sealing device Rotational speed Noise characteristics Conditions of application site abnormal temperature, sea water, vacuum, chemical solution, dust, gas, magnetism Lubrication Special materials A 1 Special heat treatment A 6 (dimension stabilizing treatment) Special surface treatment Lubricant A 118 (Reference) ceramic & series C 1 Operating temperature Rotational speed Lubrication Lubricant Sealing device Limiting speed Grease service life A 111 A 118 A 19 A 78 A 11 Mounting and dismounting, mounting dimension Mounting and dismounting A 1 Mounting dimensions A 16 Final determination of and associated aspect Fig. -1(1) Bearing selection procedure Fig. -1() Bearing selection procedure A 14 A 15 Tecnopoint srl Tel Fax [email protected]
14 . Selection of type In selecting s, the most important thing is to fully understand the operating conditions of the s. The main factors to be considered are listed in Table -1, while types are listed in Table -. Table -1 (1) Selection of type Table -1 () Selection of type Items to be considered Selection method Reference page No. Items to be considered Selection method Reference page No. 1) Installation space Bearing can be installed in target equipment ) Load Load magnitude, type and direction which applied ) Rotational speed 4) Running accuracy Load resistance of is specified in terms of the basic load rating, and its value is specified in the specification table. Response to rotational speed of equipment in which s will be installed The limiting speed for is expressed as allowable speed, and this value is specified in the specification table. Accurate rotation delivering required performance Dimension accuracy and running accuracy of s are provided by JIS, etc. 5) Rigidity Rigidity that delivers the performance required When load is applied to a, elastic deformation occurs at the point where its rolling elements contact the raceway surface. The higher the rigidity that s possess, the better they control elastic deformation. When a shaft is designed, its rigidity and strength are considered essential; therefore, the shaft, i.e., bore, is determined at start. For rolling s, since wide variety with different dimensions are available, the most suitable type should be selected. (Fig. -1) Since various types of load are applied to s, load magnitude, types (radial or axial) and direction of application (both directions or single direction in the case of axial load), as well as vibration and impact must be considered in order to select the proper. The following is the general order for radial resistance ; deep groove ball s < angular contact ball s < cylindrical roller s < tapered roller s < spherical roller s Since the allowable speed differs greatly depend-ing not only upon type but on size, cage, accuracy, load and lubrication, all factors must be considered in selecting s. In general, the following s are the most widely used for high speed operation. deep groove ball s, angular contact ball s, cylindrical roller s Performance required differs depending on equipment in which s are installed : for instance, machine tool spindles require high running accuracy, gas turbines require high speed rotation, and control equipment requires low friction. In such cases, s of tolerance class 5 or higher are required. The following are the most widely used s. deep groove ball s, angular contact ball s, cylindrical roller s In machine tool spindles and automobile final drives, rigidity as well as rigidity of equipment itself must be enhanced. Elastic deformation occurs less in roller s than in ball s. Rigidity can be enhanced by providing preload. This method is suitable for use with angular contact ball s and tapered roller s. A 46 A 18 (Table -) A 81 A 18 (Table -) A 78 A 18 (Table -) A 5 A 18 (Table -) A 16 6) Misalignment (aligning capability) 7) Mounting and dismounting Width series Diameter series Dimension series Operating conditions which cause misalignment (shaft deflection caused by load, inaccuracy of shaft and housing, mounting errors) can affect performance Allowable misalignment (in angle) for each type is described in the section before the specification table, to facilitate determination of the self-aligning capability of s. Methods and frequency of mounting and dismounting required for periodic inspection Deep groove ball Angular contact ball Self-aligning ball Cylindrical roller Needle roller Tapered roller Spherical roller Internal load caused by excessive misalignment damages s. Bearings designed to absorb such misalignment should be selected. The higher the self-aligning capability that s possess, the larger the angular misalignment that can be absorbed. The following is the general order of s when comparing allowable angular misalignment : cylindrical roller s < tapered rollers < deep groove ball s, angular contact ball s < spherical rollers, self-aligning ball s Cylindrical roller s, needle roller s and tapered roller s, with separable inner and outer rings, are recommended for applications in which mounting and dismounting is conducted frequently. Use of sleeve eases the mounting of self-aligning ball s and spherical roller s with tapered bore Fig. -1 Radial dimension series A 18 (Table -) A 18 (Table -) A 16 A 17 Tecnopoint srl Tel Fax [email protected]
15 . Selection of type Table - Performance comparison of type Deep groove ball Angular contact ball Matched pair or stack Singlerow Doublerow Four-point contact ball Selfaligning ball Cylindrical roller NU N NJ NF NUP NH NN NNU Needle roller (machined ring type) Tapered roller Singlerow Double-row, four-row Spherical roller Thrust ball With With flat aligning back seat faces race Double direction angular contact thrust ball Cylindrical roller thrust Needle roller thrust Tapered roller thrust Spherical thrust roller Reference page No. Radial load Load resistance Axial load Combined load radial and axial * * * * Vibration or impact load High speed adaptability High accuracy Low noise level/low torque Rigidity Misalignment Inner and outer ring separability * * A16 A78 A16, 5 A111 A16 A16 A17 Description before specification table Arrangement Fixed side Free side * A A Remarks A pair of s mounted facing each other. *DT arrangement is effective for one direction only. *Filling slot type is effective for one direction only. *Nonseparable type is also available. A pair of s mounted facing each other. *Double direction s are effective for both directions. *Non-separable type is also available. Reference page No. A4 B4 A5 B5 A6 B5 A6 B14 A7 B154 A8 B74 A9 B A1 B A11 B48 C47 A1 A1 B74 A1 A1 B66 Excellent # Good Fair Unacceptable Both directions One direction only Acceptable Acceptable, but shaft shrinkage must be compensated for. A 18 A 19 Tecnopoint srl Tel Fax [email protected]
16 4. Selection of arrangement As operational conditions vary depending on devices in which s are mounted, different performances are demanded of s. Normally, two or more s are used on one shaft. Fixed side Free side When fixed and free sides are not distinguished Bearings for vertical shafts Table 4-1 Bearings on fixed and free sides Features This determines shaft axial position. This can accommodate both radial and axial loads. Since axial load in both directions is imposed on this, strength must be considered in selecting the for this side. This is employed to compensate for expansion or shrinkage caused by operating temperature change and to allow ajustment of position. Bearings which accommodate radial load only and whose inner and outer rings are separable are recommended as free side s. In general, if non-separable s are used on free side, clearance fit is provided between outer ring and housing to compensate for shaft movement through s. In some cases, clearance fit between shaft and inner ring is utilized. When intervals are short and shaft shrinkage does not greatly affect operation, a pair of angular contact ball s or tapered roller s is used in paired mounting to accommodate axial load. After mounting, the axial clearance is adjusted using nuts or shims. Bearings which can accommodate both radial and axial loads should be used on fixed side. Heavy axial load can be accommodated using thrust s together with radial s. Bearings which can accommodate radial load only are used on free side, compensating for shaft movement. In many cases, in order to locate shaft positions in the axial direction, one is mounted on the fixed side first, then the other is mounted on the free side. Recommended type Deep groove ball Matched pair or stack angular contact ball Double-row angular contact ball Self-aligning ball Cylindrical roller with rib (NUP and NH types) Double-row tapered roller Spherical roller Separable types Cylindrical roller (NU and N types) Needle roller (NA type, etc.) Non-separable types Deep groove ball Matched pair angular contact ball (Back-to-back arrangement) Double-row angular contact ball Self-aligning ball Double-row tapered roller (TDO type) Spherical roller Deep groove ball Angular contact ball Self-aligning ball Cylindrical roller (NJ and NF types) Tapered roller Spherical roller Fixed side Matched pair angular contact ball (Back-to-back arrangement) Double-row tapered roller (TDO type) Thrust + radial Example No. Examples 111 Examples 116 Examples 17 and 18 Example Ex. 1 Ex. Ex. Ex. 4 Ex. 5 Ex. 6 Ex. 7 Table 4- (1) Example arrangements Bearing arrangement Recommended application Fixed side Free side Suitable for high-speed operation; used for various types of applications. Not recommended for applications that have center displacement between s or shaft deflection. More suitable than Ex. 1 for operation under heavy load or impact load. Suitable also for high-speed operation. Due to separability, suitable for applications requiring interference of both inner and outer rings. Not recommended for applications that have center displacement between s or shaft deflection. Recommended for applications under heavier or greater impact load than those in Ex.. This arrangement requires high rigidity from fixed side s mounted back to back, with preload provided. Shaft and housing of accurate dimensions should be selected and mounted properly. This is recommended for operation at high speed or axial load lighter than in Ex.. This is recommended for applications requiring interference of both inner and outer rings. Some applications use double-row angular contact ball s on fixed side instead of matched pair angular contact ball s. This is recommended for operations under relatively small axial load. This is recommended for applications requiring interference of both inner and outer rings. This is recommended for operations at high speed and heavy radial load, as well as normal axial load. When deep groove ball s are used, clearance must be provided between outside and housing, to prevent application of radial load. This arrangement is most widely employed. This arrangement can accommodate partial axial load as well as radial load. Application example Medium size motors, air blowers Traction motors for railway rolling stock Steel manufacturing table rollers, lathe spindles Motors Paper manufacturing calender rollers, diesel locomotive axle journals Diesel locomotive transmissions Pumps, automobile transmissions A A 1 Tecnopoint srl Tel Fax [email protected]
17 4. Selection of arrangement Example Ex. 8 Ex. 9 Ex. 1 Ex. 11 Ex. 1 Ex. 1 Bearing arrangement Fixed side Free side Arrangement in which fixed and free sides are not distinguished Back-to-back Face-to-face Table 4- () Example arrangements Recommended application This is recommended for operations with relatively heavy axial load in both directions. Some applications use matched pair angular contact ball s on fixed side instead of doublerow angular contact ball s. This is the optimum arrangement for applications with possible mounting errors or shaft deflection. Bearings in this arrangement can accommodate partial axial load, as well as heavy radial load. This is optimum arrangement for applications with possible mounting errors or shaft deflection. Ease of mounting and dismounting, ensured by use of adaptor, makes this arrangement suitable for long shafts which are neither stepped nor threaded. This arrangement is not recommended for applications requiring axial load capability. This is the optimum arrangement for applications with possible mounting errors or shaft deflection. This is recommended for operations under impact load or radial load heavier than that in Ex. 1. This arrangement can accommodate partial axial load as well as radial load. Recommended application This arrangement is most popular when applied to small equipment operating under light load. When used with light preloading, thicknessadjusted shim or spring is mounted on one side of outer ring. This is suitable for applications in which rigidity is enhanced by preloading. This is frequently employed in applications requiring high speed operation under relatively large axial load. Back-to-back arrangement is suitable for applications in which moment load affects operation. When preloading is required, care should be taken in preload adjustment. Application example Worm gear speed reducers Steel manufacturing table roller speed reducers, overhead crane wheels General industrial equipment counter shafts Steel manufacturing table rollers Application example Small motors, small speed reducers, small pumps Machine tool spindles Example Ex. 14 Ex. 15 Ex. 16 Ex. 17 Ex. 18 Arrangement in which fixed and free sides are not distinguished Back-to-back Face-to-face Application to vertical shafts Table 4- () Example arrangements Fixed side Free side Free side Fixed side Recommended application This is recommended for operation under impact load or axial load heavier than in Ex. 1. This is suitable for applications in which rigidity is enhanced by preloading. Back-to-back arrangement is suitable for applications in which moment load affects operation. When interference is required between inner ring and shaft, face-to-face arrangement simplifies mounting. This arrangement is effective for applications in which mounting error is possible. When preloading is required, care should be taken in preload adjustment. This is recommended for applications requiring high speed and high accuracy of rotation under light load. This is suitable for applications in which rigidity is enhanced by preloading. Tandem arrangement and face-to-face arrangement are possible, as is back-to-back arrangement. This arrangement provides resistance against heavy radial and impact loads. This is applicable when both inner and outer rings require interference. Care should be taken not to reduce axial internal clearance a critical amount during operation. Recommended application This arrangement, using matched pair angular contact ball s on the fixed side and cylindrical roller s on the free side, is suitable for high speed operation. This is recommended for operation at low speed and heavy load, in which axial load is heavier than radial load. Due to self-aligning capability, this is suitable for applications in which shaft runout or deflection occurs. Application example Speed reducers, automobile wheels Machine tool spindles Construction equipment final drive Application example Vertical motors, vertical pumps Crane center shafts, vertical pumps A A Tecnopoint srl Tel Fax [email protected]
18 5. Selection of dimensions 5-1 Bearing service life When s rotate under load, material flakes from the surfaces of inner and outer rings or rolling elements by fatigue arising from repeated contact stress (ref. A 144). This phenomenon is called flaking. The total number of rotations until flaking occurs is regarded as the "(fatigue) service life". "(Fatigue) service life" differs greatly depending upon structures, dimensions, materials, and processing methods. Since this phenomenon results from fatigue distribution in materials themselves, differences in service life should be statistically considered. When a group of identical s are rotated under the same conditions, the total number of revolutions until 9 % of the s are left without flaking (i.e. a service life of 9 % reliability) is defined as the basic rating life. In operation at a constant speed, the basic rating life can be expressed in terms of time. In actual operation, a fails not only because of fatigue, but other factors as well, such as wear, seizure, creeping, fretting, brinelling, cracking etc (ref. A 144, 16. Examples of failures). These failures can be minimized by selecting the proper mounting method and lubricant, as well as the most suitable for the application. 5- Calculation of service life 5--1 Basic dynamic load rating The basic dynamic load rating is either pure radial (for radial s) or central axial load (for thrust s) of constant magnitude in a constant direction, under which the basic rating life of 1 million revolutions can be obtained, when the inner ring rotates while the outer ring is stationary, or vice versa. The basic dynamic load rating, which represents the capacity of a under rolling fatigue, is specified as the basic dynamic radial load rating (C r ) for radial s, and basic dynamic axial load rating (C a ) for thrust s. These load ratings are listed in the specification table. These values are prescribed by ISO 81/ 199, and are subject to change by conformance to the latest ISO standards. 5-- Basic rating life The basic rating life in relation to the basic dynamic load rating and dynamic equivalent load can be expressed using equation (5-1). It is convenient to express the basic rating life in terms of time, using equation (5-), when a is used for operation at a constant speed; and, in terms of traveling distance (km), using equation (5-), when a is used in railway rolling stock or automobiles. Total revolutions (Time) Running distance L 1 = L 1h = C P 1 6 6n L 1s = πdl 1 (5-) where : L 1 : basic rating life 1 6 revolutions L 1h : basic rating life h L 1s : basic rating life km P : dynamic equivalent load N (refer to p. A 4.) C : basic dynamic load rating N n : rotational speed min 1 p : for ball s p = for roller s p = 1/ D : wheel or tire mm p C P (5-1) p (5-) Accordingly, where the dynamic equivalent load is P, and rotational speed is n, equation (5-4) can be used to calculate the basic dynamic load rating C; the size most suitable for a specified purpose can then be selected, referring to the specification table. The recommended service life differs depending on the machines with which the is used, as shown in Table 5-4, p. A 8. C = P [Ball ] Rotational speed Basic rating life L 1h f n n f h [Roller ] Rotational speed Basic rating life 6n 1 6 1/p (5-4) [Reference] The equations using a service life coefficient ( f h ) and rotational speed coefficient ( f n ) respectively, based on equation (5-), are as follows : L 1h = 5f h p (5-5) Coefficient of service life : C f h = f n (5-6) P Coefficient of rotational speed : 1 f n = 6 1/p 5 6n 1/p = (.n) (5-7) For reference, the values of f n, f h, and L 1h can be easily obtained by employing the nomograph attached to this catalog, as an abbreviated method L 1h f n n f h L 1h [Reference] Rotational speed (n) and its coefficients ( f n ), and service life coefficient ( f h ) and basic rating life (L 1h ) A 4 A 5 Tecnopoint srl Tel Fax [email protected]
19 5. Selection of dimensions 5-- Correction of basic dynamic load rating for high temperature use and dimension stabilizing treatment In high temperature operation, material hardness deteriorates, as material compositions are altered. As a result, the basic dynamic load rating is diminished. Once altered, material composition is not recovered, even if operating temperatures return to normal. Therefore, for s used in high temperature operation, the basic dynamic load rating should be corrected by multiplying the basic dynamic load rating values specified in the specification table by the temperature coefficient values in Table 5-1. Table 5-1 Temperature coefficient values Bearing temperature, Temperature coefficient C Since normal heat treatment is not effective in maintaining the original size in extended operation at 1 C or higher, dimension stabilizing treatment is necessary. Dimension stabilizing treatment codes and their effective temperature ranges are described in Table 5-. Since dimension stabilizing treatment diminishes material hardness, the basic dynamic load rating may be reduced for some types of s. Table 5- Dimension stabilizing treatment Dimension stabilizing treatment code S S1 S Effective temperature range Over 1 C, up to 15 C 15 C C C 5 C 5--4 Corrected rating life The basic rating life (L 1 ), expressed using equation (5-1), is (fatigue) life, whose estimate of reliability is 9 %. A certain application requires a service life whose reliability is more than 9 %. Special materials help extend life, and lubrication and other operating conditions may also affect service life. The corrected rating life can be obtained from the basic rating life using equation (5-8). L na = a 1 a a L 1 (5-8) where : L na : corrected rating life 1 6 revolutions estimated reliability (1n) % : the probability of failure occurrence is expressed by n, taking characteristics and operating conditions into consideration. L 1 : basic rating life 1 6 revolutions (estimated reliability 9 %) a 1 : reliability coefficient refer to section (1) a : characteristic coefficient refer to section () a : operating condition coefficient refer to section () [Remark] When dimensions are to be selected given L na greater than 9 % in reliability, the strength of shaft and housing must be considered. (1) Reliability coefficient a 1 Table 5- describes reliability coefficient, a 1, which is necessary to obtain the corrected rating life of reliability greater than 9 %. Table 5- Reliability coefficient a 1 Reliability, % L na a L 1a L 5a L 4a L a L a L 1a () Bearing characteristic coefficient a The characteristic in relation to life may differ according to materials (steel types and their quality), and may be altered by production process, design, etc. In such cases, the life calculation can be corrected using the characteristic coefficient a. JTEKT has employed vacuum-degassed steel as JTEKT standard material. It has a significant effect on life extension which was verified through studies at JTEKT laboratory. The basic dynamic load rating of s made of vacuum-degassed steel is specified in the specification table, taking the characteristic coefficient as a = 1. For s made of special materials to extend fatigue life, the characteristic coefficient is treated as a > 1. () Operating condition coefficient a When s are used under operating conditions which directly affect their service life, including improper lubrication, the service life calculation can be corrected by using a. Under normal lubrication, the calculation can be performed with a = 1; and, under favorable lubrication, with a > 1. In the following cases, the operating condition coefficient is treated as a < 1 : Operation using lubricant of low kinematic viscosity Ball 1 mm /s or less Roller mm /s or less Operation at very slow rotational speed Product of rolling element pitch and rotational speed is 1 or less. Contamination of lubricant is expected Greater misalignment of inner and outer rings is present [Note] When hardness is diminished by heat, the basic dynamic load rating calculation must be corrected (ref. Table 5-1). [Remark] When a > 1 in employing a special material, if lubrication is not proper, a a is not always > 1. In such cases, if a < 1, characteristic coefficient is normally treated as a Service life of system comprising two or more s Even for systems which comprise two or more s, if one is damaged, the entire system malfunctions. Where all s used in an application are regarded as one system, the service life of the system can be calculated using the following equation, = (5-9) L e e e e L 1 L L where : L : rating life of system L 1, L, L : rating life of each e : constant e = 1/9 ball e = 9/8 roller The mean value is for a system using both ball and roller s. [Example] When a shaft is supported by two roller s whose service lives are 5 hours and hours respectively, the rating life of the system supporting this shaft is calculated as follows, using equation (5-9) : = + L 9/8 5 9/8 9/8 L h The equation suggests that the rating life of these s as a system becomes shorter than that of the with the shorter life. This fact is very important in estimating service life for applications using two or more s. As the above explanation shows, since a and a are inter-dependent, some calculations treat them as one coefficient, a. A 6 A 7 Tecnopoint srl Tel Fax [email protected]
20 5. Selection of dimensions 5--6 Applications and recommended service life Since longer service life does not always contribute to economical operation, the most suitable service life for each application and operating conditions should be determined. For reference, Table 5-4 describes recommended service life in accordance with the application, as empirically determined. Operating condition Short or intermittent operation Not extended duration, but stable operation required Intermittent but extended operation Daily operation more than 8 hr. or continuous extended operation 4 hr. operation (no failure allowed) Table 5-4 Recommended service life (reference) Application Household electric appliance, electric tools, agricultural equipment, heavy cargo hoisting equipment Household air conditioner motors, construction equipment, conveyers, elevators Recommended service life (h) Rolling mill roll necks, small motors, cranes 8 1 Motors used in factories, general gears 1 Machine tools, shaker screens, crushers Compressors, pumps, gears for essential use 4 6 Escalators 1 Centrifugal separators, air conditioners, air blowers, woodworking equipment, passenger coach axle journals Large motors, mine hoists, locomotive axle journals, railway rolling stock traction motors 4 6 Paper manufacturing equipment 1 Water supply facilities, power stations, mine water discharge facilities 1 5- Calculation of loads Loads affecting s includes force exerted by the weight of the object the s support, transmission force of devices such as gears and belts, loads generated in equipment during operation etc. Seldom can these kinds of load be determined by simple calculation, because the load is not always constant. In many cases, the load fluctuates, and it is difficult to determine the frequency and magnitude of the fluctuation. Therefore, loads are normally obtained by multiplying theoretical values with various coefficients obtained empirically Load coefficient Even if radial and axial loads are obtained through general dynamic calculation, the actual load becomes greater than the calculated value due to vibration and impact during operation. In many cases, the load is obtained by multiplying theoretical values by the load coefficient. Table 5-5 Values of load coefficient f w Operating condition Operation with little vibration or impact Normal operation (slight impact) Operation with severe vibration or impact Application example Motors Machine tools Measuring instrument Railway rolling stock Automobiles Paper manufacturing equipment Air blowers Compressors Agricultural equipment Rolling mills Crushers Construction equipment Shaker screens f w F = f w F c (5-1) where : F : measured load F c : calculated load f w : load coefficient (ref. Table 5-5) 5-- Load generated through belt or chain transmission In the case of belt transmission, the theoretical value of the load affecting the pulley shafts can be determined by obtaining the effective transmission force of the belt. For actual operation, the load is obtained by multiplying this effective transmission force by the load coefficient ( f w ) considering vibration and impact generated during operation, and the belt coefficient ( f b ) considering belt tension. In the case of chain transmission, the load is determined using a coefficient equivalent to the belt coefficient. This equation (5-11) is as follows ; M F b = f w f D b p W = f w f b (5-11) D p n Table 5-6 Values of belt coefficient f b N N where : F b : estimated load affecting pulley shaft or sprocket shaft N M : torque affecting pulley or sprocket mn m W : transmission force kw D p : pitch circle of pulley or sprocket mm n : rotational speed min 1 f w : load coefficient (ref. Table 5-5) f b : belt coefficient (ref. Table 5-6) Belt type Timing belt (with teeth) V-belt Flat belt (with tension pulley) Flat belt f b Chain A 8 A 9 Tecnopoint srl Tel Fax [email protected]
21 5. Selection of dimensions 5-- Load generated under gear transmission (1) Loads affecting gear and gear coefficient In the case of gear transmission, loads transmitted by gearing are theoretically classified into three types: tangential load (K t ), radial load (K r ) and axial load (K a ). Those loads can be calculated dynamically (using equations, and, described in section ()). To determine the actual gear loads, these theoretical loads must be multiplied by coefficients considering vibration and impact during operation ( f w ) (ref. Table 5-5) and the gear coefficient ( f g ) (ref. Table 5-7) considering the finish treatment of gears. Table 5-7 Values of gear coefficient f g Gear type Precision gears (both pitch error and tooth shape error less than. mm) Normal gears (both pitch error and tooth shape error less than.1 mm) f g () Calculation of load on gears ~ where : Tangential load (tangential force) K t Spur gears, helical gears, double-helical gears, straight bevel gears, spiral bevel gears W K t = M = (5-1) D p D p n K t : gear tangential load K r : gear radial load K a : gear axial load M : torque affecting gears D p : gear pitch circle W : transmitting force n : rotational speed α : gear pressure angle β : gear helix (spiral) angle δ : bevel gear pitch angle N N N mn m mm kw min 1 deg deg deg Spur gears Helical gears Double-helical gears Straight bevel gears 1) 1), ) Spiral bevel gears Drive side Driven side Drive side Driven side Radial load (separating force) K r K r = K t tan α (5-1) tan α K r = K t (5-14) cos β tan α K r = K t cos (5-15) β Axial load (axial force) K a K a = K t tan β (5-) K r1 = K t tan α cosδ1 (5-16) K a1 = K t tan α sinδ 1 (5-1) K r = K t tan α cosδ (5-17) K a = K t tan α sinδ (5-) K t K r1 = cos β K t K r = cos β tan α cos δ1± sin β sin δ1 (5-18) tan α cos δ sin β sin δ (5-19) K t K a1 = cos β K t K a = cos β tan α sin δ1 sin β cos δ1 (5-) tan α sin δ± sin β cos δ (5-4) [Notes] 1) Codes with subscript 1 and shown in equations are respectively applicable to drive side gears and driven side gears. ) Symbols (+) and () denote the following ; Symbols in upper row : clockwise rotation accompanied by right-handed spiral or counterclockwise rotation with left-handed spiral Symbols in lower row : counterclockwise rotation with right-handed spiral or clockwise rotation with left-handed spiral [Remark] Rotating directions are described as viewed at the back of the apex of the pitch angle. Clockwise rotation δ Counterclockwise rotation K t1 K r β K t1 Driven side (left-handed helix) K r K a Driven side (counterclockwise rotation) K a K t1 K a1 K r1 Driven side counterclockwise rotation with right-handed spiral K a K t1 K a1 K r1 K r1 Drive side Driven side K t K r1 K a1 Drive side (left-handed helix) K t K r K t Drive side (clockwise rotation) K r K t Drive side clockwise rotation with left-handed spiral Fig. 5-1 Load on spur gears Fig. 5- Load on helical gears Fig. 5- Load on straight bevel gears Fig. 5-4 Load on spiral bevel gears A A 1 Tecnopoint srl Tel Fax [email protected]
22 5. Selection of dimensions 5--4 Load distribution on s The load distribution affecting s can be calculated as follows: first, radial force components are calculated, then, the sum of vectors of the components is obtained in accordance with the load direction. Calculation examples of radial load distribution are described in the following section. [Remark] Bearings shown in Exs. to 5 are affected by components of axial force when these s accommodate radial load, and axial load (K a ) which is transferred externally, i.e. from gears. For calculation of the axial load in this case, refer to page A 4. Description of signs in Examples 1 to 5 F ra : radial load on A N D p : gear pitch circle mm F rb : radial load on B N : denotes load direction (upward K : shaft load N perpendicular to paper surface) K t, K r, K a : gear load N : denotes load direction (downward (ref. A ) perpendicular to paper surface) Example 1 Fundamental calculation (1) Example Gear load distribution (1) Bearing A F ra a b F ra = c K a F rb = c K c K Bearing B b F rb (5-5) Pitch circle of gear 1 K a Pitch circle of gear Gear 1 Bearing A Example Fundamental calculation () Example 4 Gear load distribution () K Bearing A a F ra b c Bearing B F rb K a K r Pitch circle of gear 1 K t F ra K t Bearing B K a Gear b b b F ra = c K t + c Kr K c a (5-7) a u D p D p D p a a F rb = c K t + c Kr + K c a K r K t Gear 1 u D p K r c K r F rb K t Bearing A Bearing B K a F ra F rb Pitch circle of gear 1 Pitch circle of gear θ 1 θ Example 5 Simultaneous application of gear load and other load F K r θ K a K t M F rah F rav Bearing A Gear 1 Gears 1 and are engaged with each other at angle θ. External load F, moment M, are applied to these gears at angles θ 1 and θ. Perpendicular radial component force (upward and downward along diagram) b Dp m M F rav = c (K r cos θ + K t sin θ ) K a cos + c Fcos 1 c cos c θ θ θ a Dp e M F rbv = c (K r cos θ + K t sin θ ) + K a cos + c Fcos 1 + c cos c θ θ θ Horizontal radial component force (upward and downward perpendicular to diagram) b Dp m M F rah = c (K r sin θ K t cos θ ) K a sin + c Fsin 1 c sin c θ θ θ a Dp e M F rbh = c (K r sin θ K t cos θ ) + K a sin + c Fsin 1 + c sin c θ θ θ a u D p e K r c K t K a Gear F Bearing B M b m F rbh F rbv b F ra = c K a F rb = c K (5-6) a Gear Pitch circle of gear b b D p F ra = c K t + c Kr K c a D p a a F rb = c K t + c Kr K c a b c (5-8) Combined radial force F ra = F rav + F rah F rb = F rbv + F rbh (5-9) When θ, F, and M are zero, the same result as in Ex. is obtained A A Tecnopoint srl Tel Fax [email protected]
23 5. Selection of dimensions 5-4 Dynamic equivalent load Bearings are used under various operating conditions; however, in most cases, s receive radial and axial load combined, while the load magnitude fluctuates during operation. Therefore, it is impossible to directly compare the actual load and basic dynamic load rating. The two are compared by replacing the loads applied to the shaft center with one of a constant magnitude and in a specific direction, that yields the same service life as under actual load and rotational speed. This theoretical load is referred to as the dynamic equivalent load (P) Calculation of dynamic equivalent load Dynamic equivalent loads for radial s and thrust s (α 9 ) which receive a combined load of a constant magnitude in a specific direction can be calculated using the following equation, P = XF r + YF a (5-) where : P : dynamic equivalent load N for radial s, P r : dynamic equivalent radial load for thrust s, P a : dynamic equivalent axial load F r : radial load N F a : axial load N X : radial load factor Y : axial load factor (values of X and Y are listed in the specification table.) When F a /F r e for single-row radial s, it is taken that X = 1, and Y =. Hence, the dynamic equivalent load rating is P r = F r. Values of e, which designates the limit of F a /F r, are listed in the specification table. For single-row angular contact ball s and tapered roller s, axial component forces (F ac ) are generated as shown in Fig. 5-5, therefore a pair of s is arranged face-to-face or back-to-back. The axial component force can be calculated using the following equation. F r F ac = (5-1) Y Table 5-8 describes the calculation of the dynamic equivalent load when radial loads and external axial loads (K a ) are applied to s. Paired mounting Back-to-back arrangement Face-to-face arrangement A F ra A A F ra F ra A F ra K a K a K a K a B F rb B F rb B F rb B F rb F rb F rb B F rb B B F rb B K a K a K a K a A F ra A F ra A A F ra F ra α F ac F r Load center F ac F r Load center Load center position is listed in the specification table. Fig. 5-5 Axial component force α For thrust ball s with contact angle α = 9, to which an axial load is applied, P a = F a. The dynamic equivalent load of spherical thrust roller can be calculated using the following equation. P a = F a + 1. F r (5-) where : F r /F a.55 Table 5-8 Dynamic equivalent load calculation : when a pair of single-row angular contact ball s or tapered roller s is arranged face-to-face or back-to-back. Loading condition Bearing Axial load Dynamic equivalent load F rb Y B F rb Y B + K a + K a < F ra F ra Y A F ra Y A F rb + K Y a B Y A F ra F rb > + K Y a B Y A Bearing A Bearing B Bearing A Bearing B Bearing A Bearing B Bearing A Bearing B F rb Y B F ra Y A F ra Y A F rb Y B + K a K a + K a K a F rb P A = XF ra + Y A + K Y a B P A = F ra, where P A < F ra P B = F rb P A = F ra F ra P B = XF rb + Y B K Y a A P B = F rb, where P B < F rb P A = F ra F ra P B = XF rb + Y B + K Y a A P B = F rb, where P B < F rb F rb P A = XF ra + Y A K Y a B P A = F ra, where P A < F ra P B = F rb [Remarks] 1. These equations can be used when internal clearance and preload during operation are zero.. Radial load is treated as positive in the calculation, if it is applied in a direction opposite that shown in Fig. in Table 5-8. A 4 A 5 Tecnopoint srl Tel Fax [email protected]
24 5. Selection of dimensions 5-4- Mean dynamic equivalent load When load magnitude or direction varies, it is necessary to calculate the mean dynamic equivalent load, which provides the same length of service life as that under the actual load fluctuation. The mean dynamic equivalent load (P m ) under different load fluctuations is described using Graphs (1) to (4). As shown in Graph (5), the mean dynamic equivalent load under stationary and rotating load applied simultaneously, can be obtained using equation (5-7). P n 1 t 1 (1) Staged fluctuation () Stageless fluctuation () Fluctuation forming sine curve P 1 P P P max P max P Pm P m P m P n P min n t n n t n Σ n i t i Σ n i t i (4) Fluctuation forming sine curve (upper half of sine curve) P P m Σ n i t i P max P m = p P 1 p n 1 t 1 + P p n t + + P n p n n t n n 1 t 1 + n t + + n n t n (5-) P m = Pmin + P max (5-4) P m =.68 P max (5-5) P m =.75 P max (5-6) Symbols for Graphs (1) to (4) (5) Stationary load and rotating load acting simultaneously P m : mean dynamic equivalent load N P 1 : dynamic equivalent load applied for t 1 hours at rotational speed n 1 N P : dynamic equivalent load applied for t hours at rotational speed n N : : : P n : dynamic equivalent load applied for t n hours at rotational speed n n N P min : minimum dynamic equivalent load N P max : maximum dynamic equivalent load N Σ n i t i : total rotation in (t 1 to t i ) hours p : for ball s, p = for roller s, p = 1/ P P u f m [Reference] Mean rotational speed n m can be calculated using the following equation : P m = f m (P + Pu) (5-7) P/(P+P u ) Fig. 5-6 Coefficient f m n m = n 1 t 1 + n t + + n n t n t 1 + t + + t n where : P m : mean dynamic equivalent load f m : coefficient (refer. Fig. 5-6) P : stationary load P u : rotating load N N N A 6 A 7 Tecnopoint srl Tel Fax [email protected]
25 5. Selection of dimensions 5-5 Basic static load rating and static equivalent load Basic static load rating Excessive static load or impact load even at very low rotation causes partial permanent deformation of the rolling element and raceway contacting surfaces. This permanent deformation increases with the load; if it exceeds a certain limit, smooth rotation will be hindered. The basic static load rating is the static load which responds to the calculated contact stress shown below, at the contact center between the raceway and rolling elements which receive the maximum load. Self-aligning ball s 4 6 MPa Other ball s 4 MPa Roller s 4 MPa The total extent of contact stress-caused permanent deformation on surfaces of rolling elements and raceway will be approximately. 1 times greater than the rolling element. The basic static load rating for radial s is specified as the basic static radial load rating, and for thrust s, as the basic static axial load rating. These load ratings are listed in the specification table, using C r and C a respectively. These values are prescribed by ISO 78/1987 and are subject to change by conformance to the latest ISO standards Static equivalent load The static equivalent load is a theoretical load calculated such that, during rotation at very low speed or when s are stationary, the same contact stress as that imposed under actual loading condition is generated at the contact center between raceway and rolling element to which the maximum load is applied. For radial s, radial load passing through the center is used for the calculation; for thrust s, axial load in a direction along the axis is used. The static equivalent load can be calculated using the following equations. [Radial s] The greater value obtained by the following two equations is used. P r = X F r + Y F a (5-8) P r = F r (5-9) [Thrust s] ( α 9 ) P a = X F r + F a (5-4) [When F a < X F r, the solution becomes less accurate.] ( α = 9 ) P a = F a (5-41) where : P r : static equivalent radial load N P a : static equivalent axial load N F r : radial load N F a : axial load N X : static radial load factor Y : static axial load factor (values of X and Y are listed in the specification table.) 5-5- Safety coefficient The allowable static equivalent load for a is determined by the basic static load rating of the ; however, service life, which is affected by permanent deformation, differs in accordance with the performance required of the and operating conditions. Therefore, a safety coefficient is designated, based on empirical data, so as to ensure safety in relation to basic static load rating. C f s = (5-4) P where : f s : safety coefficient (ref. Table 5-9) C : basic static load rating N P : static equivalent load N Table 5-9 Values of safety coefficient f s With rotation Operating condition Without rotation occasional oscillation When high accuracy is required Ball f s (min.) [Remark] For spherical thrust roller s, f s 4. Roller Normal operation When impact load is applied 1.5 Normal operation.5 1 When impact load or uneven distribution load is applied 1 A 8 A 9 Tecnopoint srl Tel Fax [email protected]
26 5. Selection of dimensions 5-6 Allowable axial load for cylindrical roller s Bearings whose inner and outer rings comprise either a rib or loose rib can accommodate a certain magnitude of axial load, as well as radial load. In such cases, axial load capacity is controlled by the condition of rollers, load capacity of rib or loose rib, lubrication, rotational speed etc. For certain special uses, a design is available to accommodate very heavy axial loads. In general, axial loads allowable for cylindrical roller s can be calculated using the following equation, which are based on empirical data. f p F ap = 9.8 f a f b f p d m (5-4) where : F ap : maximum allowable axial load N f a : coefficient determined from loading condition (Table 5-1) f b : coefficient determined from series (Table 5-11) f p : coefficient for rib surface pressure (Fig. 5-7) d m : mean value of bore d and outside D mm.16.1 d + D Oil lubrication = Grease lubrication (d m n<1 1 ) Grease lubrication Table 5-1 Values of coefficient determined from loading condition f a Loading condition Continuous loading Intermittent loading Instantaneous loading Table 5-11 Values of coefficient determined from series f b Oil lubrication Diameter series 9 4 Fig. 5-7 Relationship between coefficient for rib surface pressure f p and value d m n (n : rotational speed, min 1 ) f a 1 f b Value d m n ( 1 ) 5-7 Applied calculation examples [Example 1] Bearing service life (time) with 9 % reliability (Conditions) Deep groove ball : 68 Radial load F r = 5 N Axial load not applied (F a = ) Rotational speed n = 8 min 1 q Basic dynamic load rating (C r ) is obtained from the specification table. C r = 4.7 kn w Dynamic equivalent radial load (P r ) is calculated using equation (5-). P r = F r = 5 N e Bearing sevice life (L 1h ) is calculated using equation (5-). L 1h = 16 6n C p P F r = h [Example ] Bearing service life (time) with 96 % reliability (Conditions) Deep groove ball : 68 Radial load F r = 5 N F a Axial load F a = 1 N Rotational speed n = 8 min 1 q From the specification table ; Basic load rating (C r, C r ) f factor is obtained. C r = 4.7 kn C r = 4. kn f = 1. Values X and Y are obtained by comparing value e, calculated from value f F a / C r via proportional interpolation, with value f F a / F r. f F a 1. 1 = C r 4. 1 =.55 (.55.45) e =. + (.6.) ( ) =.4 F a 1 = =.9 > e F r 5 The result is, X =.56 (.55.45) Y = 1.99 ( ) ( ) = 1.8 w Dynamic equivalent load (P r ) is obtained using equation (5-). P r = XF r + YF a = (.56 5) + (1.8 1 ) = 78 N e Service life with 9 % reliability (L 1h ) is obtained using equation (5-). L 1h = 1 6 6n C p P = 6 h r Service life with 96 % reliability (L 4ah ) is obtained using equation (5-8). According to Table 5-, a 1 =.5, a = 1, a = 1. L 4ah = a 1 a a L 1h = h F r A 4 A 41 Tecnopoint srl Tel Fax [email protected]
27 5. Selection of dimensions [Example ] Bearing service life (total revolution) [Example 4] Bearing size selection (Conditions) Tapered roller Bearing A Bearing B (Conditions) Deep groove ball : Bearing A : 7 JR 6 series K a Bearing B : 9 JR Required service life : F a Radial load F ra = 5 N F rb = 6 8 N Axial load K a = 1 6 N more than 1 h Radial load F r = N Axial load F a = N Rotational speed n = 1 6 min 1 F r q From the specification table, the following specifications are obtained. Basic dynamic load rating e X 1) Y 1) (C r ) Bearing A 55.1 kn Bearing B 67. kn [Note] 1) Those values are used, where F a / F r > e. Where F a / F r e, X = 1, Y =. w Axial load applied to shafts must be calculated, considering the fact that component force in the axial direction is generated when radial load is applied to tapered roller s. (ref. equation 5-1, Table 5-8) F ra Y A F rb Y B 5 + K a = = 5 N = = 97 N 1.48 F ra Consequently, axial load + K a is applied to Y A B. e Dynamic equivalent load (P r ) is obtained from Table 5-8. P ra = F ra = 5 N F ra P rb = XF rb + Y B + K Y a A = = 749 N r Each service life (L 1 ) is calculated using equation (5-1). C L 1A = 1/ = 1/ ra P ra revolutions C L 1B = 1/ = 1/ rb P rb revolutions q The dynamic equivalent load (P r ) is hypothetically calculated. The resultant value, F a / F r = / =.15, is smaller than any other values of e in the specification table. Hence, JTEKT can consider that P r = F r = N. w The required basic dynamic load rating (C r ) is calculated according to equation (5-4). 6n C r = P r L 1h 1/p = 1 1/ 1 6 = 19 7 N e Among those covered by the specification table, the of the 6 series with C r exceeding 19 7 N is 66 R, with bore for mm. r The dynamic equivalent load obtained at step q is confirmed by obtaining value e for 66 R. Where C r of 66 R is 1.8 kn, and f is 1. f F a /C r = 1. /1 8 =.5 Then, value e can be calculated using proportional interpolation. (.5.17) e =.19 + (..19) (.45.17) =.1 As a result, it can be confirmed that F a / F r =.15 < e. Hence, P r = F r. [Example 5] Bearing size selection (Conditions) Deep groove ball : 6 series Required service life : F a more than 1 h Radial load F r = 4 N Axial load F a = 4 N Rotational speed n = 1 min 1 q The hypothetic dynamic equivalent load (P r ) is calculated : Since F a / F r = 4/4 =.6 is much larger than the value e specified in the specification table, it suggests that the axial load affects the dynamic equivalent load. Hence, assuming that X =.56, Y = 1.6 (approximate mean value of Y), using equation (5-), P r = XF r + XF a = = 6 8 N w Using equation (5-4), the required basic dynamic load rating (C r ) is : 6n 1/p C r = P r L 1h = / 1 6 = 51 8 N e From the specification table, a 61 with a bore of 5 mm is selected as a 6 series with C r exceeding 51 8 N. r The dynamic equivalent load and basic rating life are confirmed, by calculating the value e for a 61. Values obtained using the proportional interpolation are : where f F a / C r = 1. 4/8 =.87 e =.68, Y = Thus, F a / F r =.6 > e. Using the resultant values, the dynamic equivalent load and basic rating life can be calculated as follows : P r = XF r + YF a = = 6 N L 1h = 16 6n C r p P r 1 = h t The basic rating life of the 69, using the same steps, is : L 1h 9 h, which does not satisfy the service life requirement. F r [Example 6] Calculation of allowable axial load for cylindrical roller s (Conditions) Single-row cylindrical roller : NUP 1 Rotational speed n = 1 5 min 1 Oil lubrication Axial load is intermittently applied. q Using the specification table, the value d m for the NUP 1 can be calculated as follows : d + D d m = = = 8 mm w Each coefficient used in equation (5-4). From values listed in Table 5-1, coefficient f a related to intermittent load is : f a = From values listed in Table 5-11, coefficient f b related to series is : f b = 1. According to Fig. 5-7, coefficient f p for allowable rib surface pressure, related to d m n = = 1 1 4, is : f p =.6 e Using equation (5-4), the allowable axial load F ap is : F ap = 9.8 f a f b f p d m = N A 4 A 4 Tecnopoint srl Tel Fax [email protected]
28 5. Selection of dimensions [Example 7] Calculation of service life of spur gear shaft s (Conditions) Tapered roller Bearing A : 9 JR Bearing B : 1 JR Gear type : spur gear (normally machined) Gear pressure angle α 1 = α = Gear pitch circle D p1 = 6 mm D p = 18 mm Transmission power W = 15 kw Rotational speed n = 1 min 1 Operating condition: accompanied by impact Installation locations a 1 = 95 mm, a = 65 mm, b 1 = 45 mm, b = 115 mm, c = 6 mm Bearing A Gear 1 Gear a 1 a b 1 c b Bearing B K t K t1 K r1 K r q Using equations (5-1) and (5-1), theoretical loads applied to gears (tangential load, K t ; radial load, K r ) are calculated. [Gear 1] K t1 = 6 W = 6 15 D p n 6 1 = N K r1 = K t1 tan α1 = 896 N [Gear ] K t = = N K r = K t tan α = 5 79 N w The radial load applied to the is calculated, where the load coefficient is determined as f w = 1.5 from Table 5-5, and the gear coefficient as f g = 1. from Table 5-7. [Bearing A] Load consisting of K t1 and K t is : a b K ta = f w f g K t1 + K c c t = = N Load consisting of K r1 and K r is : a b K ra = f w f g K r1 K c c r = = 56 N Combining the loads of K ta and K ra, the radial load (F ra ) applied to A can be calculated as follows : F ra = K ta + K ra = = 19 7 N [Bearing B] Load consisting of K t1 and K t is : a 1 K tb = f w f g K t1 + K c c t = = 78 N Load consisting of K r1 and K r is : a = = 5 71 N The radial load (F rb ) applied to B can be calculated using the same steps as with A. F rb = K tb + K rb = 78 + ( 5 71) = 971 N b 1 b 1 K rb = f w f g K r1 K c c r e The following specifications can be obtained from the specification table. Bearing A Bearing B Basic dynamic load rating (C r ) 146 kn 176 kn [Note] 1) Those values are used, where F a / F r > e. Where F a / F r e, X = 1, Y =. r When an axial load is not applied externally, if the radial load is applied to the tapered roller, an axial component force is generated. Considering this fact, the axial load applied from the shaft and peripheral parts is to be calculated : (Equation 5-1, Table 5-8) F rb 971 F = > ra = Y B 1.74 Y A e X 1) Y 1) According to the result, it is clear that the axial component force (F rb /Y B ) applied to B is also applied to A as an axial load applied from the shaft and peripheral parts. t Using the values listed in Table 5-8, the dynamic equivalent load is calculated, where K a = : F P ra = XF ra + Y rb A Y B 971 = = N P rb = F rb = 971 N y Using equation (5-), the basic rating life of each is calculated : [Bearing A] L 1hA = 16 6n [Bearing B] C ra p P A 1 = h L 1hB = 16 6n C rb p P B 1 = h / / 971 Reference Using equation (5-9), the system service life (L 1hS ) using a pair of s is : 1 L 1hS = /e L e 1hA L e 1hB 1 = 1 1 8/ / / h A 44 A 45 Tecnopoint srl Tel Fax [email protected]
29 6. Boundary dimensions and numbers 6-1 Boundary dimensions u D r r r r B r r r r u d (1) Radial (tapered roller s not included) Radial (tapered roller s not included) d : nominal bore D : nominal outside B : nominal assembled width r : inner/outer ring chamfer dimension 1) Tapered roller d : nominal bore D : nominal outside T : nominal assembled width B : nominal inner ring width C : nominal outer ring width r : inner ring chamfer dimension 1) r1 : outer ring chamfer dimension 1) () Tapered roller Thrust d : shaft race nominal bore d1 : shaft race nominal outside ) d : central race nominal bore d : central race nominal outside ) D : housing race nominal outside D1 : housing race nominal bore 1) T : single direction nominal height T1 : double direction nominal height B : central race nominal height r : shaft/housing race chamfer dimension 1) r1 : central race chamfer dimension 1) Bearing boundary dimensions are dimensions required for installation with shaft or housing, and as described in Fig. 6-1, include the bore, outside, width, height, and chamfer dimension. These dimensions are standardized by the International Organization for Standardization (ISO 15). JIS B 151 "rolling boundary dimensions" is based on ISO. These boundary dimensions are provided, classified into radial s (tapered roller s are provided in other tables) and thrust s. Boundary dimensions of each are listed in Appendixes at the back of this catalog. In these boundary dimension tables, the outside, width, height, and chamfer dimensions related to bore numbers and bore s are listed in series and dimension series. Reference 1) Diameter series is a series of nominal outside s provided for respective ranges of bore ; and, a dimension series includes width and height as well as s. ) Tapered roller boundary dimensions listed in the Appendixes are adapted to conventional dimension series (widths and s). Tapered roller boundary dimensions provided in JIS B 151- are new dimension series based on ISO 55 (ref. descriptions before the specification table); for reference, the specification table covers numeric codes used in these dimension series. u d 1 T B u d r r C r r 1 r r r 1 T r u D 1 Taper 1 or 1 r u D 1 u D u d u D u d B u D r u D 1 r r 1 B u d r 1 T 1 r r u D 1 u d u D () Thrust (single/double direction) [Notes] 1) The specification table includes the minimum value. ) The specification table includes the maximum value. r r r Cross-section dimensions of radial s and thrust s expressed in dimension series can be compared using Figs. 6- and 6-. In this way, many dimension series are provided; however, not all dimensions are practically adapted. Some of them were merely prescribed, given expected future use. 6- Dimensions of snap ring grooves and locating snap rings JIS B 159 "rolling -radial with locating snap ring-dimensions and tolerances" conforms to the dimensions of snap ring groove for fitting locating snap ring on the outside surface of and the dimensions and tolerances of locating snap ring. Width series Diameter series Dimension series Dimension series Diameter series 1 Height series Fig. 6- Thrust dimension series diagram ( series 5 omitted) Fig. 6-1 Bearing boundary dimensions Fig. 6- Radial dimension series diagram ( series 7 omitted) A 46 A 47 Tecnopoint srl Tel Fax [email protected]
30 6. Boundary dimensions and numbers 6- Bearing number A number is composed of a basic number and a supplementary code, denoting specifications including type, boundary dimensions, running accuracy, and internal clearance. Bearing numbers of standard s corresponding to JIS B 151 "rolling boundary dimensions" are prescribed in JIS B 151. As well as these numbers, JTEKT uses supplementary codes other than those provided by JIS. Among basic numbers, series codes are listed in Table 6-1, and the composition of numbers is described in Table 6-, showing the order of arrangement of the parts. [Examples of numbers] (Ex. 1) 6 ZZ C Internal clearance code (clearance C) Shield code (both sides shielded) Bore number (nominal bore, 17 mm) Bearing series code single-row deep groove ball of dimension series (Ex. ) 7 1 C DT P 5 Tolerance class code (class 5) Matched pair or stack code (tandem arrangement) Contact angle code (nominal contact angle, 15 ) Bore number (nominal bore, 5 mm) Bearing series code single-row angular contact ball of dimension series (Ex. ) NU 18 C P 6 Tolerance class code (class 6) Internal clearance code (clearance C) Bore number (nominal bore, 9 mm) Bearing series code single-row cylindrical roller of dimension series (Ex. 4) 5 J R P 6 X Tolerance class code (class 6X) Internal design code (high load capacity) Code denoting that boundary dimensions and sub unit dimensions are based on ISO standards. Bore number (nominal bore, 5 mm) Bearing series code single-row tapered roller of dimension series (Ex. 5) /5 RH K C 4 Internal clearance code (clearance C4) Bearing ring shape code inner ring tapered bore (taper 1 : 1) Internal design code with convex symmetric rollers, pressed cage Bore number (nominal bore, 5 mm) Bearing series code spherical roller of dimension series (Ex. 6) Bore number (nominal bore, 75 mm) Bearing series code single direction thrust ball of dimension series 1 Bearing type Single-row deep groove ball Double-row deep groove ball (with filling slot) Single-row angular contact ball Double-row angular contact ball (with filling slot) Double-row angular contact ball Self-aligning ball Single-row cylindrical roller Double-row cylindrical roller Single-row needle roller Double-row needle roller Bearing series code ) ) 11 ) NU 1 NU NU NU NU NU NU 4 Type code () () NU 4) NU 4) NU 4) NU 4) NU 4) NU 4) NU 4) NNU 49 NNU NN NN NA 48 NA 49 NA 59 NA NA NA Table 6-1 Bearing series code Dimension series code Width series 1) (1) (1) () (1) () () () () () (1) (1) () () () () () () () () () () ) () ) 1 () () () Diameter series NA 69 NA 6 9 Bearing type Tapered roller Spherical roller Single direction thrust ball Single direction thrust ball with spherical back face Double direction thrust ball Double direction thrust ball with spherical back faces Spherical thrust roller Bearing series code ) Type code Dimension series code Width series Diameter series [Notes] 1) Width series codes in parentheses are omitted in series codes. ) These are series codes customarily used. ) Nominal outer ring width series (inner rings only are wide). 4) Besides NU type, NJ, NUP, N, NF, and NH are provided A 48 A 49 Tecnopoint srl Tel Fax [email protected]
31 6. Boundary dimensions and numbers Table 6- Bearing number configuration Order of arrengement Bearing series code Basic number Supplementary code Bore Contact angle Internal design code, Shield/seal Ring shape code, lubrication No. code cage guide code code hole/groove code Material code, special treatment code Matched pair or stack code Internal clearance code, preload code Spacer code Cage material/ shape code Tolerance code Grease code (Codes and descriptions) Bearing series code 68 Deep groove ball 69 6 (For standard code, refer to Table 6-1) Bore No. /.6 1 / / /5 / mm (Bore ) Contact angle code A (omitted) AC 5 B 4 C 15 CA E 5 B (omitted) Less than 17 C D 8 ' DJ 8 48' 9'' Bore s (mm) of in the bore range 4 to 96 can be obtained by multiplying their bore number by five. Angular contact ball Tapered roller Internal design code R High load capacity (Deep groove ball, cylindrical roller, tapered roller ) G GST J R RH RHA Equal stand-out is provided on both sides of the ring of angular contact ball (In general, C clearance is used) Angular contact ball described above with standard internal clearance provided Tapered roller, whose outer ring width, contact angle and outer ring small inside conform to ISO standards With convex asymmetric rollers and machined cage With convex symmetric rollers and pressed cage With convex symmetric rollers and one-piece machined cage Spherical roller s V Full complement type ball or roller (with no cage) Shield/seal code one side both sides Z ZZ Fixed shield ZX ZZX Removable shield ZU RU RS RK U RD ZU RU RS RK UU RD Non-contact seal Contact seal Extremely light contact seal Ring shape code, lubrication hole/groove code K Inner ring tapered bore provided (1 : 1) K Inner ring tapered bore provided (1 : ) N Snap ring groove on outer ring outside surface provided NR Snap ring groove and locating snap ring on outer ring outside surface provided (Codes and descriptions) NY Creep prevention synthetic resin ring on outer ring outside surface provided SG Spiral groove on inner ring bore surface provided W Lubrication hole and lubrication groove on cylindrical roller outer ring outside surface provided W Lubrication hole and lubrication groove on spherical roller outer ring outside surface provided Material code, special treatment code Code not High carbon chrome steel given E F H Y ST SH S S1 S Stainless steel Special heat treatment Up to 15 C Up to C Up to 5 C Matched pair or stack code, cage guide code DB DF DT PA Q Back-to-back arrangement Face-to-face arrangement Tandem arrangement Internal clearance code, preload code C1 C CN C C4 C5 M1 to M6 CD CDN CD Case carburizing steel Smaller than C Smaller than standard clearance Standard clearance Greater than standard clearance Greater than C Greater than C4 Radial internal clearance for extra-small/ miniature ball Smaller than standard clearance Standard clearance Greater than standard clearance Dimension stabilizing treatment Angular contact ball With outer ring guide cage (Ball ) With roller guide cage (Roller ) Radial internal clearance for radial Radial internal clearance for double-row angular contact ball CM CT NA S L M H Spacer code Cage material/type code / / Steel sheet Pressed YS Stainless steel sheet cage FT Phenol resin FY High-tensile brass casting Machined FW High-tensile brass casting cage (separable type) MG FG Polyamide (Molded cage) FP Carbon steel (Pin type cage) Grease code Radial internal clearance for electric motor Slight preload Light preload Medium preload Heavy preload + Inner and outer ring spacers provided / Inner and outer ring spacers provided /P Outer ring spacer provided /S +DP +IDP +ODP Tolerance code (JIS) Omitted Class P6 Class 6 P6X Class 6X P5 Class 5 P4 Class 4 P Class A AC B5 SR Non-interchangeable cylindrical roller radial internal clearance (C1NA to C5NA) Inner ring spacer provided Inner and outer ring spacers provided Inner ring spacer provided Outer ring spacer provided Alvania Andok C Beacon 5 Multemp SRL Deep groove ball Cylindrical roller Preload for angular contact ball Spacer width (mm) is affixed to the end of each code. Deep groove ball Angular contact ball Cylindrical roller, spherical roller A 5 A 51 Tecnopoint srl Tel Fax [email protected]
32 7. Bearing tolerances 7-1 Tolerances and tolerance classes for s Bearing tolerances and permissible values for the boundary dimensions and running accuracy of s are specified. These values are prescribed in JIS B 1514 "tolerances for rolling s." (These JIS standards are based on ISO standards.) Bearing tolerances are standardized by classifying s into the following six classes (accuracy in tolerances becomes higher in the order described):, 6X, 6, 5, 4 and. Class s offer adequate performance for general applications; and, s of class 5 or higher are required for demanding applications and operating conditions including those described in Table 7-1. These tolerances follow ISO standards, but some countries use different names for them. Tolerances for each class, and organizations concerning s are listed in Table 7-. Boundary dimension accuracy items on shaft and housing mounting dimensions Tolerances for bore, outside, ring width, assembled width Tolerances for set bore and set outside of rollers Tolerance limits for chamfer dimensions Permissible values for width variation Tolerance and permissible values for tapered bore Running accuracy (items on runout of rotating elements) Permissible values for radial and axial runout of inner and outer rings Permissible values for perpendicularity of inner ring face Permissible values for perpendicularity of outer ring outside surface Permissible values for thrust raceway thickness Accuracies for dimensions and running of each type are listed in Tables 7- through 7-1; and, tolerances for tapered bore and limit values for chamfer dimensions of radial s are in Tables 7-11 and 7-1. Table 7-1 High precision applications Required performance Applications Tolerance class Acoustic / visual equipment spindles (VTR, tape recorders) Radar / parabola antenna slewing shafts P 5, P 4 P 4 High accuracy in Machine tool spindles P 5, P 4, P, ABEC 9 runout is required for rolling elements. Computers, magnetic disc spindles P 5, P 4, P, ABEC 9 Aluminum foil roll necks Multi-stage mill backing s P 5 P 4 Dental spindles Superchargers Jet engine spindles and accessories P, ABMA 5P, ABMA 7P P 5, P 4 P 5, P 4 High speed rotation Centrifugal separators P 5, P 4 LNG pumps P 5 Turbo molecular pump spindles and touch-down Machine tool spindles Tension reels P 5, P 4 P 5, P 4, P, ABEC 9 P 5, P 4 Low friction or low friction variation is required. Control equipment (synchronous motors, servomotors, gyro gimbals) Measuring instruments Machine tool spindles P 4, ABMA 7P P 5 P 5, P 4, P, ABEC 9 Table 7- Bearing type and tolerance class Bearing type Applied standards Applied tolerance class Deep groove ball Class Class 6 Class 5 Class 4 Class Angular contact ball Class Class 6 Class 5 Class 4 Class JIS B Self-aligning ball Class Cylindrical roller Class Class 6 Class 5 Class 4 Class Needle roller (machined ring type) Tapered roller Metric series (single-row) Metric series (double or four-row) JIS B Class Tolerance table Table 7- JIS B Class Class 6X (Class 6) Class 5 Class 4 Class Table 7-5 BAS 1 Class Table 7-6 Inch series ANSI/ABMA Class 4 Class Class Class Class Table 7-7 Metric series (J-series) Class PK Class PN Class PC Class PB Table 7-8 Spherical roller JIS B Class Table 7- Thrust ball Class Class 6 Class 5 Class 4 Table 7-9 JIS B Spherical thrust roller Class Table 7-1 Precision ball screw support Double direction angular contact thrust ball (Reference) Class comparison ISO DIN BS NF ANSI ABMA Radial ISO 49 Thrust ISO 199 Radial and thrust s JTEKT standards DIN 6 BS 617 NF E -5 Radial ABMA std. Instrument ball Tapered roller Normal Class Normal Class Normal Class Class P5Z Class P4Z ABEC 1 RBEC 1 Equivalent to class 5 Equivalent to class 4 Class 6X Class 6 Class 5 Class 4 Class Class 6 Class 5 Class 4 Class 6X Class 6 Class 5 Class 4 Class ABEC RBEC ABMA std. 1 Class P ABMA std. 19 Class 4 Class K Class Class N ABEC 5 RBEC 5 Class 5P Class 5T Class Class C ABEC 7 Class 7P Class 7T Class Class B (Reference) Standards and organizations concerned with s JIS : Japanese Industrial Standard BAS : The Japan Bearing Industrial Association Standard ISO : International Organization for Standardization ANSI : American National Standards Institute, Inc. ABMA : American Bearing Manufactures Association DIN : Deutsches Institut für Normung BS : British Standards Institution NF : Association Francaise de Normalisation ABEC 9 Class 9P Table 7-4 Class Class A Table 7-7 A 5 A 5 Tecnopoint srl Tel Fax [email protected]
33 7. Bearing tolerances Table 7- (1) Radial tolerances (tapered roller s excluded) = JIS B = (1) Inner ring (bore ) Unit : μm Nominal bore Single plane mean bore deviation Single bore Single plane bore variation V dsp Mean bore variation Nominal bore deviation 1) 1) d dmp ds Diameter series 7, 8, 9 Diameter series, 1 Diameter series,, 4 Dia. series V dmp d mm class class 6 class 5 class 4 class class 4 class class class 6 class 5 class 4 class class 6 class 5 class 4 class class 6 class 5 class 4 class class class 6 class 5 class 4 class mm over up to upper lower upper lower upper lower upper lower upper lower upper lower upper lower max. max. max. max. max. over up to u D u D B Cylindrical bore B Taper 1 1 or 1 Tapered bore u d u d () Inner ring (running accuracy and width) Unit : μm Nominal bore Radial runout of assembled Single inner ring width deviation Single inner ring width deviation Inner ring width variation Nominal bore inner ring d K ia S d S ) ) ia Bs Bs V Bs d mm class class 6 class 5 class 4 class class 5 class 4 class class 5 class 4 class class class 6 class 5 class 4 class class 4) class 6 4) class 5 4) classes 4, class class 6 class 5 class 4 class mm over up to max. max. max. upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower max. over up to S d : perpendicularity of inner ring face with respect to the bore S ia : axial runout of assembled inner ring ) These shall be appplied to individual rings manufactured for matched pair or stack s. [Notes] 1) These shall be applied to s of series, 1,, and 4. 4) Also applicable to the inner ring with tapered bore of d 5 mm. ) These shall be applied to deep groove ball s and angular contact ball s. [Remark] Values in Italics are prescribed in JTEKT standards. A 54 A 55 Tecnopoint srl Tel Fax [email protected]
34 7. Bearing tolerances Table 7- () Radial tolerances (tapered roller s excluded) () Outer ring (outside ) Unit : μm Nominal Single plane mean outside deviation Single outside Single plane outside variation V Dsp Shielded/sealed type Mean outside Nominal outside dia. deviation variation 1) outside dia. D Dmp Ds Diameter series 7, 8, 9 Diameter series, 1 Diameter series,, 4 Dia. 1) Diameter series V series,, 4, 1,,, 4 Dmp D mm class class 6 class 5 class 4 class class 4 5) class mm class ) class 6 ) class 5 5) class 4 5) class ) class 6 ) class 5 5) class 4 5) class ) class 6 ) class 5 5) class 4 5) class class ) class 6 ) class ) class 6 ) class 5 class 4 class over up to upper lower upper lower upper lower upper lower upper lower upper lower upper lower max. max. max. max. max. max. over up to Nominal outside dia. D mm (4) Outer ring (running accuracy and width) Unit : μm Radial runout of assembled outer ring K ea 4) S D ) 4) S ea ) Cs class class 6 class 5 class 4 class class 5 class 4 class class 5 class 4 class classes, 6, 5, 4, S D : perpendicularity of outer ring outside surface with respect to the face S ea : axial runout of assembled outer ring Cs : deviation of a single outer ring width Ring width variation ) V Cs classes class 5 class 4 class, 6 over up to max. max. max. upper lower max Shall Shall conform conform to to the tolerance the tol Bs on d erance of the V Bs on same d of the same [Notes] 1) These shall be applied to s of series, 1,, and 4. ) Shall be applied when locating snap ring is not fitted. ) These shall be applied to deep groove ball s and angular contact ball s. 4) These shall not be applied to flanged s. 5) These shall not be applied to shielded s and sealed s. [Remark] Values in Italics are prescribed in JTEKT standards. Cylindrical bore Tapered bore A 56 A 57 B u D u d Taper 1 1 u D u d or 1 Tecnopoint srl Tel Fax [email protected] B d : nominal bore D : nominal outside B : nominal assembled width
35 7. Bearing tolerances (Refer.) Table 7-4 Tolerances for measuring instrument ball s (inch series) = ANSI/ABMA standards = (reference) (1) Inner ring and outer ring width Unit : μm Nominal bore dia. d mm Single plane mean bore deviation dmp classes 5P, 7P class 9P Single bore deviation classes 5P, 7P ds class 9P Single plane bore variation classes 5P, 7P V dsp class 9P Mean bore variation classes 5P, 7P V dmp class 9P Radial runout of assembled inner ring K ia class 5P class 7P class 9P Axial runout of assembled inner ring S ia class 5P class 7P class 9P Perpendicularity of inner ring face with respect to the bore S d class 5P class 7P class 9P Single inner or outer ring width deviation Bs, Cs classes 5P, 7P, 9P Inner or outer ring width variation class 5P V Bs, V Cs class 7P class 9P over up to upper lower upper lower upper lower upper lower max. max. max. max. max. upper lower max () Outer ring Unit : μm Nominal outside dia. D mm Single plane mean outside deviation Dmp classes 5P, 7P class 9P Open type Single outside deviation classes 5P, 7P Ds Shielded/ sealed type class 9P Open type Single plane outside variation Open type classes 5P, 7P V Dsp Shielded/ sealed type class 9P Open type Mean outside variation Open type classes 5P, 7P V Dmp Shielded/ sealed type class 9P Open type Radial runout of assembled outer ring K ea class 5P class 7P class 9P Axial runout of assembled outer ring S ea class 5P class 7P class 9P Perpendicularity of outer ring outside surface with respect to the face S D class 5P class 7P class 9P Single outer ring flange outside deviation D1s classes 5P, 7P Single outer ring flange width deviation C1s classes 5P, 7P over up to upper lower upper lower upper lower upper lower upper lower max. max. max. max. max. upper lower upper lower B B C 1 u D u d u D 1 u d u D d : nominal bore D : nominal outside B : nominal assembled width D 1 : nominal outer ring flange outside C 1 : nominal outer ring flange width A 58 A 59 Tecnopoint srl Tel Fax [email protected]
36 7. Bearing tolerances Nominal bore d mm Table 7-5 (1) Tolerances for metric series tapered roller s = JIS B = (1) Inner ring Unit : μm Single plane mean bore deviation dmp Single bore deviation ds classes, 6X classes 6, 5 class 4 class class 4 class classes, 6X Single plane bore variation V dsp Mean bore variation V dmp class 6 class 5 class 4 class classes class 6 class 5 class 4 class, 6X Radial runout of assembled inner ring K ia S d S ia Single inner ring width deviation Bs classes class 6 class 5 class 4 class class 5 class 4 class class 4 class, 6X class class 6X class 6 classes 5, 4 class over up to upper lower upper lower upper lower upper lower upper lower upper lower max. max. max. max. max. upper lower upper lower upper lower upper lower upper lower over up to ) ) ) ) ) ) ) ) ) ) ) ) 8 1 S d : perpendicularity of inner ring face with respect to the bore S ia : axial runout of assembled inner ring Nominal bore d mm (-1) Outer ring Unit : μm (-) Outer ring Unit : μm Nominal outside D mm Single plane mean outside deviation Dmp Single outside deviation Ds classes, 6X classes 6, 5 class 4 class class 4 class classes, 6X Single plane outside variation V Dsp Mean outside variation [Notes] 1) Class 6 values are prescribed in JTEKT standards. S D : perpendicularity of outer ring outside surface with respect to the face ) These shall be applied to s of tolerance class 5. S ea : axial runout of assembled outer ring ) These shall not be applied to flanged s. [Remark] Values in Italics are prescribed in JTEKT standards. A 6 A 61 V Dmp class 6 class 5 class 4 class classes class 6 class 5 class 4 class, 6X Radial runout of Single outer ring Nominal Nominal assembled width deviation outside bore outer ring K ) ) ea SD S ea D d Cs class 6 class 5 class 4 class class 5 class 4 class class 4 class mm mm class 6X classes, 6, 5, 4, over up to upper lower upper lower upper lower upper lower upper lower upper lower max. max. max. max. max. over up to over up to upper lower upper lower ) ) ) ) ) ) ) Tecnopoint srl Tel Fax [email protected] classes, 6X Shall comform to the tolerance Bs on d of the same u D T C B u d d : nominal bore D : nominal outside B : nominal inner ring width C : nominal outer ring width T : nominal assembled width
37 7. Bearing tolerances Table 7-5 () Tolerances for metric series tapered roller s () Assembled width and effective width Unit : μm Nominal bore Actual width deviation Actual effective inner sub-unit width deviation d Ts T1s mm class class 6X class 6 classes 5, 4 class class class 6X classes 5, 4 class over up to upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower ) ) ) ) ) ) ) Table 7-6 Tolerances for metric series double-row and four-row tapered roller s (class ) = BAS 1 = (1) Inner ring, outer ring width and overall width Unit : μm Four-row bore Nominal Actual overall inner rings/ outer rings width deviation Single plane mean Single plane bore Mean bore Single outer ring bore or inner ring width d deviation variation variation deviation Double-row mm dmp V dsp V dmp K ia Bs, Cs Ts Ts, Ws over up to upper lower max. max. max. upper lower upper lower upper lower K ia : radial runout of assembled inner ring Nominal bore d mm over Actual effective outer ring width deviation Ts class class 6X classes 5, 4 class up to upper lower upper lower upper lower upper lower ) ) [Note] 1) These shall be applied to s of tolerance class 5. [Remark] Values in Italics are prescribed in JTEKT standards. T T 1 u d T Master inner sub-unit u d Master outer ring u d () Outer ring Unit : μm Nominal outside Single plane mean Single plane Mean outside outside outside D deviation variation mm Dmp variation V Dsp V Dmp K ea over up to upper lower max. max. max K ea : radial runout of assembled outer ring u D T B u D u du D T W T C u d u d d : nominal bore T : nominal assembled width T 1 : nominal effective width of inner sub-unit T : nominal effective width of outer ring d : nominal bore D : nominal outside B : nominal double inner ring width C : nominal double outer ring width T, W : nominal overall width of outer rings (inner rings) A 6 A 6 Tecnopoint srl Tel Fax [email protected]
38 7. Bearing tolerances Table 7-7 Tolerances and permissible values for inch series tapered roller s = ANSI/ABMA 19 = (1) Inner ring Unit : μm (4) Assembled width and overall width Unit : μm Applied type All types Applied type All types Nominal bore Deviation of a single bore ds d, mm (1/5.4) class 4 class class class class over up to upper lower upper lower upper lower upper lower upper lower 76. (.) (.) 66.7 (1.5) (1.5) 4.8 (1.) (1.) 69.6 (4.) (4.) (6.) (6.) (48.) (48.) () Outer ring Unit : μm Nominal outside Deviation of a single outside Ds D, mm (1/5.4) class 4 class class class class over up to upper lower upper lower upper lower upper lower upper lower 66.7 (1.5) (1.5) 4.8 (1.) (1.) 69.6 (4.) (4.) (6.) (6.) (48.) (48.) Applied type Single-row Double-row Double-row (TNA type) Nominal bore Nominal outside Deviation of the actual width and overall width of inner rings/outer rings Ts, Ws d, mm (1/5.4) D, mm (1/5.4) class 4 class class classes, over up to over up to upper lower upper lower upper lower upper lower 11.6 ( 4.) ( 4.) 66.7 (1.5) (1.5) 4.8 (1.) ) 4.8 (1.) 69.6 (4.) 58. (.) (1.) 69.6 (4.) 58. (.) (4.) ( 4.) ( 4.) 66.7 (1.5) (1.5) 4.8 (1.) ) 4.8 (1.) 69.6 (4.) 58. (.) (1.) 69.6 (4.) 58. (.) (4.) ( 5.) ( 5.) Four-row Total dimensional range [Note] 1) These shall be applied to s of class. T T T T () Radial runout of assembled inner ring/outer ring Unit : μm W Applied type All types Nominal outside D, mm (1/5.4) Radial runout of inner ring/outer ring K ia, K ea class 4 class class class class over up to max. max. max. max. max (1.5) (1.5) 4.8 (1.) (1.) 69.6 (4.) (4.) (6.) (6.) (48.) (48.) u D u d u D u d u D u d u D d : nominal bore D : nominal outside T, W : nominal assembled width and nominal overall width of outer rings (inner rings) u d A 64 A 65 Tecnopoint srl Tel Fax [email protected]
39 7. Bearing tolerances Table 7-8 Tolerances for metric J series tapered roller s 1) (1) Bore and width of inner ring and assembled width Unit : μm Nominal bore d mm Deviation of a single bore ds Deviation of a single inner ring width Bs Deviation of the actual width Ts Nominal bore d class PK class PN class PC class PB class PK class PN class PC class PB class PK class PN class PC class PB mm over up to upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower over up to u D T C B u d () Outside and width of outer ring and radial runout of assembled inner ring/ outer ring Nominal outside D mm Deviation of a single outside Deviation of a single outer ring width Radial runout of inner ring/outer ring Ds Cs K ia, K ea class PK class PN class PC class PB class PK class PN class PC class PB class PK class PN class PC class PB [Note] 1) Bearings with supplementary code J attached at the front of number Ex. JHM749/JHM71, and the like Unit : μm Nominal outside D mm over up to upper lower upper lower upper lower upper lower upper lower upper lower upper lower upper lower max. max. max. max. over up to d : nominal bore D : nominal outside B : nominal inner ring width C : nominal outer ring width T : nominal assembled width A 66 A 67 Tecnopoint srl Tel Fax [email protected]
40 7. Bearing tolerances Nominal bore of shaft or central race d or d, mm Table 7-9 Tolerances for thrust ball s = JIS B = Single plane mean bore deviation dmp or dmp classes, 6, 5 class 4 (1) Shaft race and central race Unit : μm Single plane bore variation V dsp or V dsp classes, 6, 5 [Notes] 1) Double direction thrust ball s shall be included in d of single direction thrust ball s of the same series and nominal outside. ) Applies only to thrust ball s and cylindrical roller thrust s with 9 contact angle. () Housing race Unit : μm [Notes] 1) These shall be applied to race with flat back face only. ) Applies only to thrust ball s and cylindrical roller thrust s with 9 contact angle. Race raceway to back face thickness variation S i 1) ) class 4 class class 6 class 5 class 4 over up to upper lower upper lower max. max Nominal outside D mm Single plane mean outside deviation Single plane outside variation V Dsp classes, 6, 5 Race raceway to back face thickness variation S e 1) ) Dmp classes, 6, 5 class 4 class 4 classes, 6, 5, 4 over up to upper lower upper lower max. max Shall conform to the tolerance S i on d or d of the same B u d u D u d u D T T 1 T d : shaft race nominal bore d : central race nominal bore D : housing race nominal outside B : central race nominal height T : nominal height (single direction) T 1, T : nominal height (double direction) () Bearing height and central race height Unit : μm Single direction Double direction Nominal bore Deviation of the actual Deviation of the actual Deviation of the actual Deviation of a single height height height central race height B d 1) 1) 1) mm Ts T1s Ts Bs class class class class over up to upper lower upper lower upper lower upper lower [Note] 1) Double direction thrust ball s shall be included in d of single direction thrust ball s of the same series and nominal outside. [Remark] Values in Italics are prescribed in JTEKT standards. Table 7-1 Tolerances for spherical thrust roller s (class ) = JIS B = (1) Shaft race Unit : μm Nominal bore d mm Single plane mean bore deviation dmp V dsp S d Ts over up to upper lower max. max. upper lower S d : perpendicularity of inner ring face with respect to the bore [Remark] Values in Italics are prescribed in JTEKT standards. Nominal outside D, mm () Housing race Unit : μm Single plane mean outside deviation Dmp over up to upper lower A 68 A 69 Single plane bore variation Tecnopoint srl Tel Fax [email protected] u d u D Refer. Actual height deviation d : shaft race nominal bore D : housing race nominal outside T : nominal height T
41 7. Bearing tolerances Table 7-11 Tolerances and permissible values for tapered bores of radial s (class JIS B ) Table 7-1 Tolerances and permissible values for flanged radial ball s (1) Tolerances on flange outside s Unit : μm d1mp dmp Nominal outer ring flange outside D 1 (mm) Deviation of single outer ring flange outside, D1s Locating flange Non-locating flange α u d u d 1 u (d + dmp) α u (d 1 + d1mp) over up to upper lower upper lower B B (1) Basically tapered bore (taper 1:1) Unit : μm () Basically tapered bore (taper 1:) Unit : μm Nominal bore d, mm Theoretical tapered bore dmp d1mp dmp V dsp 1) Tapered bore with single plane mean bore deviation Nominal bore d, mm dmp d1mp dmp V dsp 1) over up to upper lower upper lower max. over up to upper lower upper lower max [Note] 1) These shall be applied to all radial planes with tapered bore, not be applied to s of series 7, 8. [Remark] 1) Symbols of quantity d 1 : reference at theoretical large end of tapered bore 1 1 d 1 = d + B or d 1 = d + B 1 dmp : single plane mean bore deviation at theoretical small end of tapered bore d1mp : single plane mean bore deviation at theoretical large end of tapered bore V dsp : single plane bore variation (a tolerance for the variation given by a maximum value applying in any radial plane of the bore) B : nominal inner ring width 1 α : of nominal tapered angle of tapered bore (tapered ratio 1/1) (tapered ratio 1/) α = 9.4 α = = = = rad = rad () Tolerances and permissible values on flange widths and permissible values of running accuracies relating to flanges Unit : μm Nominal outside D (mm) Deviation of single outer ring flange width C1s 1) Variation of outer ring flange width V C1s 1) Perpendicularity of outer ring outside surface with respect to the flange back face S D1 Deep groove ball s and angular contact ball s Tapered roller s Axial runout of assembled outer ring flange back face S ea1 Deep groove ball Tapered roller s and angular contact ball s s classes, 6, 5, 4, classes, 6 class 5 class 4 class class 5 class 4 class class 5 class 4 class class 5 class 4 class class 4 class over up to upper lower max. max. max. max. max..5 Shall conform Shall con to the form to the tolerance tolerance Bs on d of V Bs on d of 18 the same the same class and class and the the [Note] 1) These shall be applied to groove ball s, i.e. deep groove ball and angular contact ball etc. C 1 u D 1 B u d u D d : nominal bore D : nominal outside B : nominal assembled width D 1 : nominal outer ring flange outside C 1 : nominal outer ring flange width A 7 A 71 Tecnopoint srl Tel Fax [email protected]
42 7. Bearing tolerances Table 7-1 Permissible values for chamfer dimensions = JIS B = (1) Radial (tapered roller s excluded) () Radial s with locating snap ring (snap ring groove side) and cylindrical roller s (separete Unit : mm thrust collar and loose rib side) Unit : mm r min or r 1 min Nominal bore d mm over up to Radial direction r max or r 1 max Axial direction [Remarks] 1. Value of r max or r 1 max in the axial direction of s with nominal width lower than mm shall be the same as the value in radial direction.. There shall be no specification for the accuracy of the shape of the chamfer surface, but its outline in the axial plane shall not be situated outside of the imaginary circle arc with a radius of r min or r 1 min which contacts the inner ring side face and bore, or the outer ring side face and outside surface. Nominal bore dia. or nominal outside dia. r 1 max r 1 min d or D over up to Radial direction Axial direction [Remark] There shall be no specification for the accuracy of the shape of the chamfer surface, but its outline in the axial plane shall not be situated outside of the imaginary circle arc with a radius of r1 min which contacts the inner ring side face and bore, or the outer ring side face and outside surface. () Cylindrical roller s (non-rib side) and angular contact ball s (front face side) Unit : mm Nominal bore dia. or nominal outside dia. r 1 max r 1 min d or D over up to Radial direction Axial direction (4) Metric series tapered roller [Note] 1) Inner ring shall be included in division d, and outer ring, in division D. [Remarks] 1. There shall be no specification for the accuracy of the shape of the chamfer surface, but its outline in the axial plane shall not be situated outside of the imaginary circle arc with a radius of r min or r 1 min which contacts the inner ring back face and bore, or the outer ring back face and outside surface. [Remark] There shall be no specification for the accuracy of the. Values in Italics are provided in JTEKT standards. shape of the chamfer surface, but its outline in the axial plane shall not be situated outside of the imaginary circle arc with a radius of r1 min which contacts the inner ring side face and bore, or the outer ring side face and outside surface. A 7 A 7 r min or r 1 min Unit : mm Nominal bore dia. or nominal outside dia. 1) r max or r 1 max d or D, mm over up to Radial direction Axial direction Tecnopoint srl Tel Fax [email protected] (5) Thrust Unit : mm r min or r 1 min r max or r 1 max Radial and axial direction [Remark] There shall be no specification for the accuracy of the shape of the chamfer surface, but its outline in the axial plane shall not be situated outside of the imaginary circle arc with a radius of r min or r 1 min which contacts with the shaft or central race back face and bore, or the housing race back face and outside surface. Bore or outside surface r min or r 1 min B A Axial direction Inner or outer ring side face (radial ) Shaft, central or housing race back face (thrust ) A B A : r min or r 1 min B : r max or r 1 max Radial direction
43 7. Bearing tolerances 7- Tolerance measuring method (reference) The details on measuring methods for s are prescribed in JIS B This section outlines measuring methods for dimensional and running accuracy. Bore ( d ) Cylindrical bore s Bore ( d ) Tapered bore s Outside ( D ) Dimensional accuracy (1) Obtain the maximum value (d sp max ) and the minimum value (d sp min ) of the bore (d s ) acquired in a single radial plane. Obtain the single plane mean bore (d mp ) as the arithmetic mean value of the maximum value (d sp max ) and minimum values (d sp min ). B h a 1.r max 1.r max u d 1s u das u d bs h b u d s Radial plane a Radial plane b d mp = d sp max + d sp min Single plane mean bore deviation ; dmp = d mp d Bore variation in a single plane ; V dsp = d sp max d sp min Mean bore variation ; V dmp = d mp max d mp min Deviation of a single bore ; ds = d s d Bore at the theoretical small end and bore at the theoretical large end ; d d s = bs h a d as h b h a h b d d 1s = as (B h b ) d bs (B h a ) h a h b Single plane mean bore deviation at the theoretical small end ; dmp = d mp d Deviation on taper ; ( d1mp dmp ) = (d 1mp d 1 ) (d mp d) Bore variation in a single plane ; V dsp = d sp max d sp min Obtain the single plane mean outside (D mp ) as the arithmetical mean value of the maximum value (D sp max ) and the minimum value (D sp min ) of the outside s (D s ) acquired in a single radial plane. 1.r max 1.r max D sp max + D sp min D mp = Single plane mean outside deviation ; Dmp = D mp D Outside variation in a single plane ; V Dsp = D sp max D sp min Mean outside variation ; V Dmp = D mp max D mp min Deviation of a single outside ; Ds = D s D Roller set bore ( F w ) Roller set outside ( E w ) Inner ring width ( B ) Outer ring width ( C ) Assembled width of tapered roller ( T ) Nominal effective width of tapered roller ( T 1, T ) Nominal height of thrust ball with flat back face ( T, T 1 ) Master gauge Disc master Dimensional accuracy () Master gauge Deviation of a single inner ring width ; Bs = B s B Inner ring width variation ; V Bs = B s max B s min Ring supports ( places on circumference) Master outer ring Disc master Measuring load Measuring load Disc master Deviation of the actual effective width of inner sub-unit ; T1s = T 1s T 1 Deviation of the roller set bore ; Fw = (d G + δ 1m) F w Deviation of the minimum of the roller set bore ; Fw min = (d G + δ 1min) F w (d G ) outside of the master gauge ( δ 1m ) arithmetical mean value of the amount of movement of the outer ring ( δ 1min ) minimum value of the amount of movement of the outer ring Deviation of the roller set outside ; Ew = (D G + δ m ) E w (D G ) bore of the master gauge ( δ m ) arithmetical mean value of the amount of movement of the master gauge Deviation of a single outer ring width ; Cs = C s C Outer ring width variation ; V Cs = C s max C s min Ring supports ( places on circumference) Deviation of the actual width ; Ts = T s T Disc master Deviation of the actual effective width of outer ring ; Ts = T s T Master inner sub-unit Disc master Deviation of the actual height ; Ts = T s T (single direction) T1s = T 1s T 1 (double direction) A 74 A 75 Tecnopoint srl Tel Fax [email protected]
44 7. Bearing tolerances Running accuracy (1) Running accuracy () Radial runout of assembled inner ring ( K ia ) Radial runout of assembled outer ring ( K ea ) Weight for measuring load Weight for measuring load Guide stoppers Ring supports Weight for measuring load Weight for measuring load The radial runout of the inner ring (K ia ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the inner ring has been rotated through one rotation. [Note] The measurement of the radial runout of the inner ring of cylindrical roller s, machined ring needle roller s, selfaligning ball s and spherical roller s shall be carried out by fixing the outer ring with ring supports. The measurement of outer ring runout (K ea ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the outer ring has been rotated through one rotation. Perpendicularity of inner ring face with respect to the bore ( S d ) Perpendicularity of outer ring outside surface with respect to the face ( S D ) 1.r max 1.r max Guide stoppers Perpendicularity of inner ring face (S d ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the inner ring has been rotated through one rotation with the tapered arbor. Perpendicularity of outer ring outside surface (S D ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the outer ring has been rotated through one rotation along the guide stopper. Axial runout of assembled inner ring ( S ia ) Axial runout of assembled outer ring ( S ea ) Guide stoppers Ring supports Weight for measuring load Weight for measuring load (When inner ring is not fitted.) Weight for measuring load [Note] The measurement of the radial runout of the outer ring of cylindrical roller s, machined ring needle roller s, self-aligning ball s and spherical roller s shall be carried out by fixing the inner ring with ring supports. The axial runout of the inner ring (S ia ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the inner ring has been rotated through one rotation. The axial runout of the outer ring (S ea ) shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the outer ring has been rotated through one rotation. Shaft/central race raceway to back face thickness variation of thrust ball with flat back face ( S i ) Housing race raceway to back face thickness variation of thrust ball with flat back face ( S e ) Guide Stoppers Race supports (Shaft race) Guide Stoppers Guide Stoppers Race supports (Central race) Race supports The measurement of the thickness variation (S i ) of shaft race raceway track shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the shaft race has been rotated through one rotation along the guide stopper. For the central race, carry out the same measurement for the two raceway grooves to obtain the thickness variation of the raceway track (S i). The measurement of the thickness variation (S e ) of housing race raceway track shall be obtained as the difference between the maximum value and the minimum value of the readings of the measuring instrument, when the housing race has been rotated through one rotation along the guide stopper. A 76 A 77 Tecnopoint srl Tel Fax [email protected]
45 8. Limiting speed The rotational speed of a is normally affected by friction heat generated in the. If the heat exceeds a certain amount, seizure or other failures occur, thus causing rotation to be discontinued. The limiting speed is the highest speed at which a can continuously operate without generating such critical heat. The limiting speed differs depending on various factors including type, dimensions and their accuracy, lubrication, lubricant type and amount, shapes of cages and materials and load conditions, etc. The limiting speed determined under grease lubrication and oil lubrication (oil bath) for each type are listed in the specification table. These speeds are applied when s of standard design are rotated under normal load conditions (approximately,c/p 1, F a /F r.5). Each lubricant has superior performance in use, according to type. Some are not suitable for high speed ; when rotational speed exceeds 8 % of catalog specification, consult with JTEKT. f Correction of limiting speed When the load condition is C/P < 1, i.e. the dynamic equivalent load P exceeds approximately 8 % of basic dynamic load rating C, or when a combined load in which the axial load is greater than 5 % of radial load is applied, the limiting speed should be corrected by using equation (8-1) : f n a = f 1 f n (8-1) where : n a : corrected limiting speed min 1 f 1 : correction coefficient determined from the load magnitude (Fig. 8-1) f : correction coefficient determined from combined load (Fig. 8-) n : limiting speed under normal load condition min 1 (values in the specification table) C : basic dynamic load rating N P : dynamic equivalent load N F r : radial load N F a : axial load N Angular contact ball Deep groove ball Tapered roller.6 Spherical roller Limiting speed for sealed ball s The limiting speed of ball s with a contact seal (RS, RK type) are determined by the rubbing speed at which the seal contacts the inner ring. These allowable rubbing speeds differ depending on seal rubber materials; and, for ball s with the Koyo standard contact type seal (NBR), a rubbing speed of 15 m/s is utilized. 8- Considerations for high speed When s are used for high speed, especially when the rotation speed approaches the limiting speed or exceeds it, the following should be considered : (for further information on high speed, consult with JTEKT) (1) Use of high precision s () Study of proper internal clearance Reduction in internal clearance caused by temperature increase should be considered. () Selection of proper cage type and materials For high speed, copper alloy or phenolic resin machined cages are suitable. Synthetic resin molded cages for high speed are also available. (4) Selection of proper lubrication Suitable lubrication for high speed should be selected jet lubrication, oil mist lubrication and oil air lubrication, etc. 8-4 Frictional coefficient (reference) The frictional moment of rolling s can be easily compared with that of plain s. The frictional moment of rolling s can be obtained from their bore, using the following equation : d M = l P (8-) where : M : frictional moment l : frictional coefficient P : load on the d : nominal bore mn m N mm The friction coefficient is greatly dependent on type, load, rotation speed and lubrication, etc. Reference values for the friction coefficient during stable operation under normal operating conditions are listed in Table 8-1. For plain s, the value is normally.1 to. ; but, for certain cases, it is.1 to.. Table 8-1 Friction coefficient l Bearing type Friction coefficient l Deep groove ball Angular contact ball.1. Self-aligning ball Cylindrical roller. 8.1 Full complement type needle roller Needle roller and cage assembly.. Tapered roller Spherical roller.. 5 Thrust ball Spherical thrust roller.. 5 C P F a F r Fig. 8-1 Values of correction coefficient f 1 of load magnitude Fig. 8- Values of correction coefficient f of combined load A 78 A 79 Tecnopoint srl Tel Fax [email protected]
46 9. Bearing fits 9-1 Purpose of fit The purpose of fit is to securely fix the inner or outer ring to the shaft or housing, to preclude detrimental circumferential sliding on the fitting surface. Such detrimental sliding (referred to as "creep") will cause abnormal heat generation, wear of the fitting surface, infiltration of abrasion metal particles into the, vibration, and many other harmful effects, which cause a deterioration of functions. Therefore, it is necessary to fix the ring which is rotating under load to the shaft or housing with interference. 9- Tolerance and fit for shaft & housing For metric series s, tolerances for the shaft and housing bore are standardized in JIS B 41-1 and 41- "ISO system of limits and fits - Part 1 and Part " (based on ISO 86; shown in Appendixes at the back of this catalogue). Bearing fits on the shaft and housing are determined based on the tolerances specified in the above standard. Fig. 9-1 shows the relationship between tolerances for shaft and housing bore s and fits for s of class tolerance. 9- Fit selection In selecting the proper fit, careful consideration should be given to operating conditions. Major specific considerations are : Load characteristics and magnitude Temperature distribution in operating Bearing internal clearance Surface finish, material and thickness of shaft and housing Mounting and dismounting methods Necessity to compensate for shaft thermal expansion at the fitting surface Bearing type and size In view of these considerations, the following paragraphs explain the details of the important factors in fit selection. 1) Load characteristics Load characteristics are classified into three types : rotating inner ring load; rotating outer ring load and indeterminate direction load. Table 9-1 tabulates the relationship between these characteristics and fit. Table 9-1 Load characteristics and fits Rotation pattern Direction of load Loading conditions Fit Typical application Inner ring & shaft Outer ring & housing F 7 G 6 G 7 H 6 H 7 Clearance fit H 8 JS6 JS7 K 6 K 7 M 6 Transition fit (Snug fit) Interference fit M 7 N 7 P 7 Dmp Single plane mean outside deviation Inner ring : rotating Outer ring : stationary Inner ring : stationary Outer ring : rotating Stationary Rotating with outer ring Rotating inner ring load Stationary outer ring load Interference fit necessary (k, m, n, p, r) Clearance fit acceptable (F, G, H, JS) Spur gear boxes, motors Greatly unbalanced wheels JIS tolerance class Clearance fit f 6 g 5 g 6 Transition fit (Snug fit) h 5 h 6 h 7 k 5 k 6 m 5 m 6 Interference fit dmp Single plane mean bore deviation Fig. 9-1 Relationship between tolerances for shaft/housing bore s and fits (s of class tolerance) js5 js6 n 6 p 6 Indeterminate Inner ring : stationary Outer ring : rotating Inner ring : rotating Outer ring : stationary Stationary Rotating with inner ring Rotating or stationary Stationary inner ring load Rotating outer ring load Indeterminate direction load Clearance fit acceptable (f, g, h, js) Interference fit necessary (K, M, N, P) Running wheels & pulleys with stationary shaft Shaker screens (unbalanced vibration) Interference fit Interference fit Cranks A 8 A 81 Tecnopoint srl Tel Fax [email protected]
47 9. Bearing fits ) Effect of load magnitude When a radial load is applied, the inner ring will expand slightly. Since this expansion enlarges the circumference of the bore minutely, the initial interference is reduced. The reduction can be calculated by the following equations : [In the case of F r.5 C ] d df =.8 B F r 1 (9-1) [In the case of F r >.5 C ] df =. Fr B 1 (9-) where: df : reduction of inner ring interference mm d : nominal bore of mm B : nominal inner ring width mm F r : radial load N C : basic static load rating N Consequently, when the radial load, exceeds the C value by more than 5 %, greater interference is needed. Much greater interference is needed, when impact loads are expected. ) Effect of fitting surface roughness The effective interference obtained after fitting differs from calculated interference due to plastic deformation of the ring fitting surface. When the inner ring is fitted, the effective interference, subject to the effect of the fitting surface finish, can be approximated by the following equations : [In the case of a ground shaft] d deff d (9-) d + [In the case of a turned shaft] d deff d (9-4) d + where: deff : effective interference mm d : calculated interference mm d : nominal bore of mm 4) Effect of temperature A generally has an operating temperature, higher than the ambient temperature. When the inner ring operates under load, its temperature generally becomes higher than that of the shaft and the effective interference decreases due to the greater thermal expansion of the inner ring. If the assumed temperature difference between the inside and surrounding housing is t, the temperature difference at the fitting surfaces of the inner ring and shaft will be approximately (.1 to.15) t. The reduction of interference ( dt) due to temperature difference is then expressed as follows : dt = (.1 to.15) t α d.1 5 t d 1 (9-5) where: dt : reduction of interference due to temperature difference mm t : temperature difference between the inside of the and the surrounding housing ; α : linear expansion coefficient of steel ( ) 1/; d : nominal bore of mm Consequently, when a is higher in temperature than the shaft, greater interference is required. However, a difference in temperature or in the coefficient of expansion may sometimes increase the interference between outer ring and housing. Therefore, when clearance is provided to accommodate shaft thermal expansion, care should be taken. 5) Maximum stress due to fit When a is fitted with interference, the ring will expand or contract, generating internal stress. Should this stress be excessive, the ring may fracture. The maximum fitting-generated stress is determined by the equation in Table 9-. In general, to avoid fracture, it is best to adjust the maximum interference to less than 1/1 of the shaft, or the maximum stress (σ), determined by the equation in Table 9-, should be less than 1 MPa. Shaft & inner ring (In the case of hollow shaft) deff E σ = d (In the case of solid shaft) deff E σ = d 6) Other considerations When a high degree of accuracy is required, the tolerance of the shaft and housing must be improved. Since the housing is generally less easy to machine precisely than the shaft, it is advisable to use a clearance fit on the outer ring. With hollow shafts or thin section housings, greater than normal interference is needed. With split housings, on the other hand, smaller interference with outer ring is needed. When the housing is made of aluminum or other light metal alloy, relatively greater than normal interference is needed. In such a case, consult with JTEKT. Table 9- Maximum fitting-generated stress in s 1 d d 1 + d D i 1 + d D i 1 d D i where : σ : maximum stress MPa d : nominal bore D i deff d (shaft ) mm : raceway contact of inner ring mm ball D i. (D + 4 d) roller D i.5 (D + d) : effective interference of inner ring mm : bore of hollow shaft mm Housing bore & outer ring (In the case of D h ) 1 Deff σ = E D (In the case of D h = ) D e Deff σ = E Deff D D D h 1 D e D h : raceway contact of outer ring mm ball D e. (4D + d) roller D e.5 (D + d) D : nominal outside [Remark] The above equations are applicable when the shaft and housing are steel. When other materials are used, JTEKT should be consulted. (bore of housing) mm : effective interference of outer ring mm D h : outside of housing mm E : young's modulus MPa A 8 A 8 Tecnopoint srl Tel Fax [email protected]
48 9. Bearing fits 9-4 Recommended fits As described in Section 9-, the characteristics / magnitude of the load, temperature, mounting / dismounting methods and other conditions must be considered to choose proper fits. Class of Past experience is also valuable. Table 9- shows standard fits for the metric series s; Tables 9-4 to 9-8 tabulate the most typical and recommended fits for different s types. Table 9- Standard fits for metric series s 1) (1) Fits for bore ) of radial s Rotating inner ring load or indeterminate direction load Stationary inner ring load Class of shaft tolerance range Classes, 6X, 6 r 6 p 6 n 6 m 6 m 5 Class 5 m 5 k 4 js 4 h 4 h 5 [Notes] 1) Bearings specified in JIS B 151 ) Follow JIS B and for tolerance. k 6 k 5 Fit Interference fit Transition fit Clearance fit Class of Classes, 6X, 6 G 7 js 6 js 5 h 5 () Fits for outside ) of radial s () Fits for bore ) of thrust s (4) Fits for outside ) of thrust s h 6 h 5 g 6 g 5 Stationary outer ring load Indeterminate direction load or rotating outer ring load Class of housing bore tolerance range H 7 H 6 JS 7 JS 6 JS 7 JS 6 K 7 K 6 M 7 M 6 Class 5 H 5 JS 5 K 5 K 5 M 5 Fit Clearance fit Transition fit Interference fit Class of Central axial load (generally for thrust s) N 7 N 6 f 6 P 7 Combined load (in the case of spherical thrust roller ) Rotating shaft race load or indeterminate direction load Stationary shaft race load Class of shaft tolerance range Classes, 6 js 6 h 6 n 6 m 6 k 6 js 6 Fit Transition fit Interference fit Transition fit Class of Central axial load (generally for thrust s) Combined load (in the case of spherical thrust roller ) Stationary housing race load or indeterminate direction load Rotating housing race load Class of housing bore tolerance range Classes, 6 H 8 G 7 H 7 JS 7 K 7 M 7 Fit Clearance fit Transition fit Rotating inner ring load or indeterminate direction load Stationary inner ring load Table 9-4 (1) Recommended shaft fits for radial s (classes, 6X, 6) Conditions 1) Light load or fluctuating load P r.6 C r Normal load P r.6<.1 C r Heavy load or impact load P r C r >.1 Inner ring needs to move smoothly on shaft. Inner ring does not need to move smoothly on shaft. Ball Cylindrical roller Tapered roller Spherical roller Class of shaft tolerance range Shaft (mm) over up to over up to over up to Cylindrical bore (classes, 6X, 6) Remarks Applications (for reference) [Notes] 1) Light, normal, and heavy loads refer to those with dynamic equivalent radial loads (P r ) of 6 % or lower, over 6 % up to 1 % inclusive, and over 1 % respectively in relation to the basic dynamic radial load rating (C r ) of the concerned. ) IT 5 and IT 7 mean that shaft roundness tolerance, cylindricity tolerance, and other errors in terms of shape should be within the tolerance range of IT 5 and IT 7, respectively. For numerical values for standard tolerance grades IT 5 and IT 7, refer to supplementary table at end of this catalog. [Remark] This table is applicable to solid steel shafts h 5 js 6 k 6 m 6 js 5 k 5 m 5 m 6 n 6 p 6 r 6 n 6 p 6 r 6 All shaft s g 6 All shaft s h 6 For applications requiring high accuracy, js 5,k 5 and m 5 should be used in place of js 6, k 6 and m 6. For single-row tapered roller s and angular contact ball s, k 5 and m 5 may be replaced by k 6 and m 6, because internal clearance reduction due to fit need not be considered. Bearings with larger internal clearance than standard are required. For applications requiring high accuracy, g 5 should be used. For large size, f 6 may be used for easier movement. For applications requiring high accuracy, h 5 should be used. Central axial load only All shaft s js 6 Tapered bore (class ) (with adapter or withdrawal sleeve) All loads All shaft s h 9/IT 5 ) For transmission shafts, h 1/IT 7 ) may be applied. Electric appliances, machine tools, pumps, blowers, carriers etc. Electric motors, turbines, internal combustion engines, woodworking machines etc. Railway rolling stock axle journals, traction motors Stationary shaft wheels Tension pulleys, rope sheaves etc. A 84 A 85 Tecnopoint srl Tel Fax [email protected]
49 9. Bearing fits Table 9-4 () Recommended housing fits for radial s (classes, 6X, 6) Conditions Housing Load type etc. 1) axial Outer ring displacement ) One-piece or split type One-piece type Stationary outer ring load Indeterminate direction load Rotating outer ring load All load types Light or normal load High temperature at shaft and inner ring Light or normal load, requiring high running accuracy Requiring low-noise rotation Light or normal load Normal or heavy load High impact load Light or fluctuating load Normal or heavy load Thin section housing, heavy or high impact load Easily displaceable Not displaceable in principle Class of housing bore tolerance range Remarks Applications (for reference) [Notes] 1) Loads are classified as stated in Note 1) to Table 9-4 (1). ) Indicating distinction between applications of non-separable s permitting and not permitting axial displacement of the outer rings. [Remarks] 1. This table is applicable to cast iron or steel housings.. If only central axial load is applied to the, select such tolerance range class as to provide clearance in the radial direction for outer ring. H 7 H 8 G 7 K 6 Displaceable JS 6 Easily displaceable Normally displaceable Not displaceable in principle Not displaceable Not displaceable H 6 JS 7 K 7 M 7 M 7 N 7 P 7 G 7 may be applied when a large size is used, or if the temperature difference is large between the outer ring and housing. F 7 may be applied when a large size is used, or if the temperature difference is large between the outer ring and housing. Mainly applied to roller s. Mainly applied to ball s. For applications requiring high accuracy, JS 6 and K 6 should be used in place of JS 7 and K 7. Mainly applied to ball s. Mainly applied to roller s. Ordinary devices, railway rolling stock axle boxes, power transmission equipment etc. Drying cylinders etc. Electric motors, pumps, crankshaft main s etc. Traction motors etc. Conveyor rollers, ropeways, tension pulleys etc. Wheel hubs with ball s etc. Wheel hubs with roller s, s for large end of connecting rods etc. Rotating inner ring load Rotating outer ring load Table 9-5 (1) Recommended shaft fits for precision extra-small/miniature ball s (d < 1 mm) Unit : μm Load type Middle/high speed Light or normal load Low speed Light load Low to high speed Light load Bearing tolerance class ABMA 5P JIS class 5 ABMA 7P JIS class 4 ABMA 5P JIS class 5 ABMA 7P JIS class 4 ABMA 5P JIS class 5 ABMA 7P JIS class 4 [Note] 1) Symbols T and L means interference and clearance respectively. Rotating inner ring load Rotating outer ring load Single plane mean bore deviation dmp Shaft dimensional tolerance Fit 1) Applications upper lower upper lower T.5L 7.5T.5L 7.6T.5L 6.5T.5L.6T 7.5L.5T 7.5L.6T 7.5L 1.5T 7.5L.6T 7.5L.5T 7.5L.6T 7.5L 1.5T 7.5L Gyro rotors, air cleaners, electric tools, encoders Gyro gimbals, synchronizers, servomotors, floppy disc spindles Pinch rolls, tape guide rollers, linear actuators Table 9-5 () Recommended housing fits for precision extra-small/miniature ball s (D mm) Unit : μm Load type Middle/high speed Light or normal load Low speed Light load Low to high speed Light load Bearing tolerance class ABMA 5P ABMA 7P JIS class 5 ) JIS class 4 ) ABMA 5P ABMA 7P JIS class 5 ) JIS class 4 ) ABMA 5P ABMA 7P JIS class 5 ) JIS class 4 ) Single plane mean outside deviation Dmp Housing bore dimensional tolerance upper lower upper lower [Notes] 1) Symbols T and L means interference and clearance respectively. ) In the columns "single plane mean outside deviation" and "fit" upper row values are applied in the case of D 18 mm, lower row values in the case of 18 < D mm. Fit 1) L L 11 L 9 L 1 L T 7.6L T 7.5L.5T 8.5L.5T 6.5L.5T 7.5L T 7.6L T 7.5L.5T 8.5L.5T 6.5L.5T 7.5L Applications Gyro rotors, air cleaners, electric tools, encoders Gyro gimbals, synchronizers, servomotors, floppy disc spindles Pinch rolls, tape guide rollers A 86 A 87 Tecnopoint srl Tel Fax [email protected]
50 9. Bearing fits Table 9-6 (1) Recommended shaft fits for metric J series tapered roller s Bearing tolerance : class PK, class PN Rotating inner ring load Rotating outer ring load Load type Normal load Heavy load Impact load High speed rotation Normal load without impact Heavy load Impact load High speed rotation Nominal bore d mm over up to Class of shaft tolerance range m 6 n 6 n 6 p 6 r 6 r h 6 or g n 6 p 6 r 6 r 7 Remarks Generally, internal clearance should be larger than standard. Generally, internal clearance should be larger than standard. Table 9-6 () Recommended housing fits for metric J series tapered roller s Bearing tolerance : class PK, class PN Nominal outside Load type D mm over up to Rotating inner ring load Rotating outer ring load Used for free or fixed side Position of outer ring is adjustable (in axial direction) Position of outer ring is not adjustable (in axial direction) Position of outer ring is not adjustable (in axial direction) Class of housing bore tolerance range G 7 F J 7 Remarks Outer ring is easily displaceable in axial direction. Outer ring is displaceable in axial direction P 7 Outer ring is fixed in axial direction R 7 Outer ring is fixed in axial direction. Bearing tolerance : class PC, class PB Bearing tolerance : class PC, class PB Rotating inner ring load Rotating outer ring load Load type Spindles of precision machine tools Heavy load Impact load High speed rotation Spindles of precision machine tools Nominal bore Class of shaft tolerance range d mm ( tolerance class) over up to PC PB k 5 k 5 m 6 m 5 n 5 n 5 p 4 r 4 r 5 r 5 k 5 k 5 k 5 m 5 m 5 n 5 n 4 p 4 r 4 r 4 k 5 Remarks Generally, internal clearance should be larger than standard. Rotating inner ring load Rotating outer ring load Load type Used for free side Used for fixed side Position of outer ring is adjustable (in axial direction) Position of outer ring is not adjustable (in axial direction) Position of outer ring is not adjustable (in axial direction) Nominal outside Class of housing bore tolerance range D mm ( tolerance class) over up to PC PB G 5 G G H 5 H H K 5 JS 6 JS 6 K 5 K 5 N 5 N 5 N 6 N 5 N 5 K 5 JS 6 JS 5 JS 5 M 5 N 5 N 5 Remarks Outer ring is easily displaceable in axial direction. Outer ring is displaceable in axial direction. Outer ring is fixed in axial direction. Outer ring is fixed in axial direction. A 88 A 89 Tecnopoint srl Tel Fax [email protected]
51 9. Bearing fits Table 9-7 (1) Recommended shaft fits for inch series tapered roller s Bearing tolerance : class 4, class Rotating inner ring load Rotating outer ring load Load type Normal load Heavy load Impact load High speed rotation Normal load without impact Normal load without impact Bearing tolerance : class, class 1) Rotating inner ring load Rotating outer ring load Heavy load Impact load High speed rotation Load type Spindles of precision machine tools Heavy load Impact load High speed rotation Spindles of precision machine tools [Note] 1) Class : d 4.8 mm Nominal bore d mm (1/5.4) Deviation of a single bore ds, μm Dimensional tolerance of shaft μm over up to upper lower upper lower 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) Nominal bore d mm (1/5.4) Deviation of a single bore ds, μm Should be such that average interference stands at. 5 d (mm) Should be such that average interference stands at. 5 d (mm) Dimensional tolerance of shaft μm over up to upper lower upper lower 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 4.8 (1.) 69.6 (4.) (6.) Should be such that average interference stands at. 5 d (mm) Remarks Generally, internal clearance should be larger than standard. Inner ring is displaceable in axial direction. Generally, internal clearance should be larger than standard. Remarks Generally, internal clearance should be larger than standard. Table 9-7 () Recommended housing fits for inch series tapered roller s Bearing tolerance : class 4, class Nominal outside Deviation of Dimensional tolerance a single outside of housing bore Load type D mm (1/5.4) Ds, μm μm over up to upper lower upper lower Rotating inner ring load Rotating outer ring load Used for free or fixed side. Position of outer ring is adjustable (in axial direction). Position of outer ring is not adjustable (in axial direction). Position of outer ring is not adjustable (in axial direction). 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) Bearing tolerance : class, class 1) Rotating inner ring load Rotating outer ring load Load type Used for free side. Used for fixed side. Position of outer ring is adjustable (in axial direction). Position of outer ring is not adjustable (in axial direction). Position of outer ring is not adjustable (in axial direction). 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) [Note] 1) Class : D 4.8 mm 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) (6.) 76. (.) 17. ( 5.) 4.8 (1.) 69.6 (4.) (6.) Nominal outside D mm (1/5.4) A 9 A Deviation of a single outside Ds, μm Dimensional tolerance of housing bore μm over up to upper lower upper lower 15.4 ( 6.) 4.8 (1.) 69.6 (4.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) (6.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) (6.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) (6.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) (6.) 15.4 ( 6.) 4.8 (1.) 69.6 (4.) (6.) Tecnopoint srl Tel Fax [email protected] Remarks Outer ring is easily displaceable in axial direction. Outer ring is displaceable in axial direction. Outer ring is fixed in axial direction. Outer ring is fixed in axial direction. Remarks Outer ring is easily displaceable in axial direction. Outer ring is displaceable in axial direction. Outer ring is fixed in axial direction. Outer ring is fixed in axial direction.
52 9. Bearing fits Table 9-8 (1) Recommended shaft fits for thrust s (classes, 6) Load type Central axial load (generally for thrust s) Combined load spherical thrust roller Stationary shaft race load Rotating shaft race load or indeterminate direction load Shaft, mm over up to Table 9-8 () Recommended housing fits for thrust s (classes, 6) Load type Central axial load (generally for thrust s) Combined load spherical thrust roller Stationary housing race load Indeterminate direction load or rotating housing race load [Remark] This table is applicable to cast iron or steel housings. Class of shaft tolerance range Remarks All shaft s js 6 h 6 may also be used. All shaft s js Class of housing bore tolerance range H 8 H 7 K 7 M 7 k 6 m 6 n 6 js 6, k 6 and m 6 may be used in place of k 6, m 6 and n 6, respectively. Remarks Select such tolerance range class as provides clearance in the radial direction for housing race. In case of thrust ball s requiring high accuracy. In case of application under normal operating conditions. In case of comparably large radial load. 1. Bearing internal clearance Bearing internal clearance is defined as the total distance either inner or outer ring can be moved when the other ring is fixed. If movement is in the radial direction, it is called radial internal clearance; if in the axial direction, axial internal clearance. (Fig. 1-1) Bearing performance depends greatly upon internal clearance during operation (also referred to as operating clearance); inappropriate clearance results in short rolling fatigue life and generation of heat, noise or vibration. Radial internal clearance Axial internal clearance Fig. 1-1 Bearing internal clearance 1-1 Selection of internal clearance The term "residual clearance" is defined as the original clearance decreased owing to expansion or contraction of a raceway due to fitting, when the is mounted in the shaft and housing. The term "effective clearance" is defined as the residual clearance decreased owing to dimensional change arising from temperature differentials within the. The term "operating clearance" is defined as the internal clearance present while a mounted in a machine is rotating under a certain load, or, the effective clearance increased due to elastic deformation arising from loads. As illustrated in Fig. 1-, fatigue life is longest when the operating clearance is slightly negative. However, as the operating clearance becomes more negative, the fatigue life shortens remarkably. Thus it is recommended that internal clearance be selected such that the operating clearance is slightly positive. 15 In measuring internal clearance, a specified load is generally applied in order to obtain stable measurement values. Consequently, measured clearance values will be larger than the original clearance by the amount of elastic deformation due to the load applied for measurement. As far as roller s are concerned, however, the amount of elastic deformation is negligible. Clearance prior to mounting is generally defined as the original clearance. A 9 A 9 Tecnopoint srl Tel Fax [email protected] Fatigue life (%) NU Operating clearance (μm) Fig. 1- Relationship between operating clearance and fatigue life It is important to take specific operating conditions into consideration and select a clearance suitable for the conditions. For example, when high rigidity is required, or when the noise must be minimized, the operating clearance must be reduced. On the other hand, when high operating temperature is expected, the operating clearance must be increased.
53 1. Bearing internal clearance 1- Operating clearance Table 1-1 shows how to determine the operating clearance when the shaft and housing are made of steel. Tables 1- to 1-1 show standard values for internal clearance before mounting. Table 1-11 shows examples of clearance selection excluding CN clearance. Table 1-1 How to determine operating clearance In Table 1-1, Operating clearance (S) Outer ring Ball S : operating clearance S w : increase of clearance due to load S = S o (S f + S t1 + S t ) + S w * S fo : reduction of clearance due to fitting of the outer ring and housing Effective clearance S t : decrease of clearance due to temperature differentials between inner and outer rings Residual clearance S o : clearance before mouting (original clearance) S fi : decrease of clearance due to fitting of inner ring and shaft * S w (increase of clearance due to load) is generally small, and thus may be ignored, although there is an equation for determining the value. S : operating clearance mm S o : clearance before mounting mm S f : decrease of clearance due to fitting mm S fi : expansion of inner ring raceway contact mm S fo : contraction of outer ring raceway contact mm S t1 : decrease of clearance due to temperature differentials between inner and outer rings mm S t : decrease of clearance due to temperature rise of the rolling elements mm S w : increase of clearance due to load mm deff : effective interference of inner ring mm d : nominal bore mm (shaft ) d : bore of hollow shaft mm D i : inner ring raceway contact mm ball D i.(d + 4 d) roller D i.5(d + d) Deff : effective interference of outer ring mm D h : outside of housing mm D e : outer ring raceway contact mm ball D e.(4 D + d) roller D e.5( D + d) D : nominal outside mm α : linear expansion coefficient of steel ( ) 1/; D w : average of rolling elements mm ball D w.(d d) roller D w.5(d d) t i : temperature rise of the inner ring ; t e : temperature rise of the outer ring ; t w : temperature rise of rolling elements ; Decrease of clearance due to fitting (S f ) (In the case of hollow shaft) 1 d d d S fi = deff D i 1 d D i (In the case of solid shaft) d S fi = deff D i (In the case of D h ) 1 D D e D S fo = Deff h D 1 D e (In the case of D h = ) D e S fo = Deff D D h Bearings are sometimes used with a non-steel shaft or housing. In the automotive industry, a statistical method is often incorporated for selection of clearance. In these cases, or when other special operating conditions are involved, JTEKT should be consulted. Decrease of clearance due to temperature differentials between inner and outer rings (S t1 ) Decrease of clearance due to temperature rise of rolling element (S t ) The amount of decrease varies depending on the state of housing; however, generally the amount can be approximated by the following equation on the assumption that the outer ring will not expand : S t1 = α (D i t i D e t e ) S t = α D w t w where : D e = D i + D w Consequently, S t1 + S t will be determined by the following equation : S t1 + S t = α D i t 1 + α D w t Temperature differential between the inner and outer rings, t 1, can be expressed as follows : t 1 = t i t e Temperature differential between the rolling element and outer ring, t, can be expressed as follows : t = t w t e A 94 A 95 Tecnopoint srl Tel Fax [email protected]
54 1. Bearing internal clearance Table 1- Radial internal clearance of deep groove ball s (cylindrical bore) Unit : μm Nominal bore Clearance d, mm C C N C C 4 C 5 over up to min. max. min. max. min. max. min. max. min. max [Remarks] 1. For measured clearance, the increase of radial internal clearance caused by the measurement load should be added to the values in the above table for correction. Amounts for correction are as shown below. Of the amounts for clearance correction in the C column, the smaller is applied to the minimum clearance, the larger to the maximum clearance.. Values in Italics are prescribed in JTEKT standards. Nominal bore d, mm Measurement load Amounts of clearance correction, μm over up to N C C N C C 4 C Table 1- Radial internal clearance of extra-small/miniature ball s Unit : μm M 1 M M M 4 M 5 M 6 Clearance code min. max. min. max. min. max. min. max. min. max. min. max. Clearance [Remark] For measured clearance, the following amounts should be added for correction. Table 1-4 Axial internal clearance of matched pair angular contact ball s (measurement clearance) 1) Unit : μm Nominal bore Contact angle : 15 Contact angle : d, mm C C N C C N C C 4 over up to min. max. min. max. min. max. min. max. min. max. min. max Nominal bore Contact angle : 4 d, mm C C N C C 4 over up to min. max. min. max. min. max. min. max [Note] 1) Including increase of clearance caused by measurement load. Measurement load, N Amounts of clearance correction, μm Extra-small Miniature ball ball M1 M M M4 M5 M Extra-small ball : 9 mm or larger in outside and under 1 mm in bore Miniature ball : under 9 mm in outside A 96 A 97 Tecnopoint srl Tel Fax [email protected]
55 1. Bearing internal clearance Table 1-5 Radial internal clearance of double-row angular contact ball s Unit : μm Nominal bore Clearance d, mm CD CDN CD over up to min. max. min. max. min. max [Remark] Regarding deep groove ball s and matched pair and double-row angular contact ball s, equations of the relationship between radial internal clearance and axial internal clearance are shown on page A 15. Table 1-6 Radial internal clearance of self-aligning ball s Unit : μm Nominal bore Cylindrical bore clearance Tapered bore clearance d, mm C C N C C 4 C 5 C C N C C 4 C 5 over up to min. max. min. max. min. max. min. max. min. max. min. max. min. max. min. max. min. max. min. max Table 1-7 Radial internal clearance of electric motor s 1) Deep groove ball Unit : μm Nominal bore d, mm Clearance CM over up to min. max. 1 1) [Note] 1) 1 mm is included. [Remark] To adjust for change of clearance due to measuring load, use correction values shown in Table 1-. ) Cylindrical roller Unit : μm Clearance Nominal bore d, mm Interchangeability Non-interchangeability CT CM over up to min. max. min. max [Note] Interchangeability means interchangeable only among products (sub-units) of the same manufacturer ; not with others. A 98 A 99 Tecnopoint srl Tel Fax [email protected]
56 1. Bearing internal clearance Table 1-8 Radial internal clearance of cylindrical roller s and machined ring needle roller s (1) Cylindrical bore Unit : μm () Tapered bore Unit : μm Nominal Clearance bore d, mm C C N C C 4 C 5 over up to min. max. min. max. min. max. min. max. min. max. Nominal bore Non-interchangeable clearance d, mm C 9 NA 1) C 1 NA C NA C N NA C NA C 4 NA C 5 NA over up to min. max. min. max. min. max. min. max. min. max. min. max. min. max [Note] 1) Clearance C 9 NA is applied to tapered bore cylindrical roller s of JIS tolerance classes 5 and 4. A 1 A 11 Tecnopoint srl Tel Fax [email protected]
57 1. Bearing internal clearance Table 1-9 Radial internal clearance of spherical roller s (1) Cylindrical bore Unit : μm () Tapered bore Unit : μm Nominal bore Clearance d, mm C C N C C 4 C 5 over up to min. max. min. max. min. max. min. max. min. max Nominal bore Clearance d, mm C C N C C 4 C 5 over up to min. max. min. max. min. max. min. max. min. max A 1 A 1 Tecnopoint srl Tel Fax [email protected]
58 1. Bearing internal clearance Table 1-1 Radial internal clearance of double/four-row and matched pair tapered roller s (cylindrical bore) Unit : μm Nominal bore Clearance d, mm C 1 C C N C C 4 over up to min. max. min. max. min. max. min. max. min. max Table 1-11 Examples of non-standard clearance selection Service conditions Applications Examples of clearance selection In the case of heavy/impact load, Railway rolling stock axle journals large interference C Shaker screens, C, C 4 In the case of vibration/impact load, railway rolling stock traction motors, C 4 interference fit both for inner/outer rings tractor final reduction gears C 4 When shaft deflection is large Automobile rear wheels C 5 When shaft and inner ring are heated Dryers of paper making machines, C, C 4 table rollers of rolling mills C When clearance fit both for inner/outer rings Roll necks of rolling mills C When noise/vibration during rotation is to be lowered Micro-motors C 1, C, CM When clearance after mounting is to be adjusted in order to reduce shaft runout Lathe spindles C 9 NA, C 1 NA [Reference] Relationship between radial internal clearance and axial internal clearance [Deep groove ball ] a = r (4m o r ) (1-1) [Double-row angular contact ball ] [Matched pair angular contact ball ] [Double/four-row and matched pair tapered roller ] a = m o (m o cos α r ) m o sin (1-) α a = m o sin α m o (m o cos α + ) (1-) 1.5 a = r cot α r e (1-4) r where : a : axial internal clearance mm α : nominal contact angle r : radial internal clearance mm e : limit value of F a /F r m o = r e + r i D w r e : outer ring raceway groove radius mm r i : inner ring raceway groove radius mm D w : ball mm shown in the specification table. A 14 A 15 Tecnopoint srl Tel Fax [email protected]
59 11. Preload Generally, s are operated with a certain amount of proper clearance allowed. For some applications, however, s are mounted with axial load of such magnitude that the clearance will be negative. The axial load, referred to as "preload," is often applied to angular contact ball s and tapered roller s Purpose of preload To improve running accuracy by reducing runout of shaft, as well as to heighten position accuracy in radial and axial directions. (Bearings for machine tool spindles and measuring instruments) To improve gear engagement accuracy by increasing rigidity. (Bearings for automobile final reduction gears) To reduce smearing by eliminating sliding in irregular rotation, self-rotation, and aroundthe-raceway revolution of rolling elements. (For high rotation-speed angular contact ball s) To minimize abnormal noise due to vibration or resonance. (For small electric motor s) To keep rolling elements in the right position relative to the raceway. (For thrust ball s and spherical thrust roller s used on horizontal shafts) Table 11-1 Method of preloading Position preloading 11- Method of preloading The preload can be done either by the position preloading or the constant pressure preloading; typical examples are given in Table Comparison between position and constant pressure preloadings With the same amount of preloading, the position preloading produces smaller displacement in the axial direction, and thus is liable to bring about higher rigidity. The constant pressure preloading produces stable preloading, or little fluctuation in the amount of preload, since the spring can absorb the load fluctuation and shaft expansion/contraction caused by temperature difference between the shaft and housing during operation. The position preloading can apply a larger preload. Consequently, the position preloading is more suitable for applications requiring high rigidity, while the constant pressure preloading is more suitable for high rotational speed, vibration prevention in the axial direction, and thrust s used on horizontal shafts. Constant pressure preloading 11- Preload and rigidity For angular contact ball s and tapered roller s, the "back-to-back" arrangement is generally used to apply preload for higher rigidity. This is because shaft rigidity is improved by the longer distance between load centers in the back-to-back arrangement. Fig shows the relationship between preload given via position preloading and rigidity expressed by displacement in the axial direction of the back-to-back. P : amount of preload (load) T : axial load from outside TA : axial load applied to Bearing A TB : axial load applied to Bearing B δ a : displacement of matched pair δ aa : displacement of Bearing A δ ab : displacement of Bearing B δ ao : clearance between inner rings before preloading Bearing A P T Displacement in axial direction T B T A T δ ao Bearing B δ ao P Displacement curve of A In Fig. 11-1, when preload P is applied (inner ring is tightened toward the axial direction), s A and B are displaced by δ ao respectively, and the clearance between inner rings diminishes from δ ao to zero. The displacement when axial load T is applied to these matched pair s from the outside can be determined as δ a. [For reference] How to determine δ a in Fig qdetermine the displacement curve of A. wdetermine the displacement curve of B....Symmetrical curve in relation to horizontal axis intersecting vertical line of preload P at point x. ewith the load from outside defined as T, determine line segment x y on the horizontal line passing through point x. Displace segment x y in parallel along the displacement curve of B. Determine point y at which to intersect displacement curve of A. rδ a can be determined as the distance between line segments x y and x y. Fig. 11- shows the relationship between preload and rigidity in the constant pressure preloading using the same matched pair s as in Fig In this case, since the spring rigidity can be ignored, the matched pair shows almost the same rigidity as a separate with preload P applied in advance. Displacement in axial direction T Displacement curve of A Method using matched pair with standout adjusted for preloading (see below). δ ao δ ao Method using spacer with dimensions adjusted for preloading. Method using nut or bolt capable of adjusting preload in axial direction. In this case, starting friction moment during adjustment should be measured so that proper preload will be applied. Method using coil spring or diaphragm spring. ab δ ao δ ao δ δ aa x' x y' (T) Axial load P Displacement curve of B Fig Preloading diagram in position preloading y δ a δ aa δ ao P Axial load Displacement curve of preloading spring Fig. 11- Preloading diagram in constant pressure preloading δ a A 16 A 17 Tecnopoint srl Tel Fax [email protected]
60 11. Preload 11-4 Amount of preload The amount of preload should be determined, to avoid an adverse effect on life, temperature rise, friction torque, or other performance characteristic, in view of the application. Decrease of preload due to wear-in, accuracy of the shaft and housing, mounting conditions, and lubrication should also be fully considered in determining preload Preload amount of matched pair angular contact ball s Table 11- shows recommended preload for matched pair angular contact ball s of JIS class 5 or higher used for machine tool spindles or other higher precision applications. JTEKT offers four types of standard preload: slight preload (S), light preload (L), medium preload (M), and heavy preload (H), so that preload can be selected properly and easily for various applications. Generally, light or medium preload is recommended for grinder spindles, and medium or heavy preload for spindles of lathes and milling machines. Table 11- shows recommended fits of highprecision matched pair angular contact ball s used with light or medium preload applied. Table 11- Recommended fits for high-precision matched pair angular contact ball s with preload applied (1) Dimensional tolerance of shaft Unit : μm () Dimensional tolerance of housing bore Unit : μm Shaft mm Inner ring rotation Interference between shaft and inner ring matching 1) Outer ring rotation Housing bore mm Tolerance of shaft Tolerance of shaft over up to adjustment over up to Inner ring rotation Tolerance of housing bore Fixed-side 18 ± ± ± ± ± ± ± 11.5 Free-side Clearance 1) between housing and outer ring Outer ring rotation Tolerance of housing bore [Note] 1) Matching adjustment means to measure [Note] 1) Lower value is desirable for fixed side; higher value for of bore the and match it free side. to the measured shaft. Table 11- Standard preload of high-precision matched pair angular contact ball s [S : slight preload, L : light preload, M : medium preload, H : heavy preload] Unit : N Bore 79 C 7 7 C 7 7 C ACT ACT B Bore No. S L M L M H S L M H L M H S L M H L M L M No A 18 A 19 Tecnopoint srl Tel Fax [email protected]
61 11. Preload Amount of preload for thrust ball s When a thrust ball is rotated at high speed, balls slide on raceway due to centrifugal force and the gyro moment, which often causes the raceway to suffer from smearing or other defects. To eliminate such sliding, it is necessary to mount the without clearance, and apply an axial load (preload) larger than the minimum necessary axial load determined by the following equation. When an axial load from the outside is lower than.1 C a, there is no adverse effect on the, as long as lubrication is satisfactory. Generally, deep groove and angular contact ball s are recommended for applications when a portion of rotation under axial load is present at high speed. where : F a min : minimum necessary axial load n : rotational speed C a : static axial load rating F r : radial load N min Amount of preload for spherical thrust roller s Spherical thrust roller s sometimes suffer from scuffing, smearing, or other defects due to sliding which occurs between the roller and raceway surface in operation. To eliminate such sliding, it is necessary to mount the without clearance, and apply an axial load (preload) larger than the minimum necessary axial load. Of the two values determined by the two equations below, the higher should be defined as the minimum necessary axial load. Thrust ball (contact angle : 9 ) F n C a min = 5.1 ( ) ( a ) 1 (11-1) 1 1 Spherical thrust roller (the higher value determined by the two equations should be taken.) C a F a min = (11-) F n C a min = 1.8Fr + 1. (11-) ( ) ( a ) N N 1. Bearing lubrication 1-1 Purpose and method of lubrication Lubrication is one of the most important factors determining performance. The suitability of the lubricant and lubrication method have a dominant influence on life. Functions of lubrication : To lubricate each part of the, and to reduce friction and wear To carry away heat generated inside due to friction and other causes To cover rolling contact surface with the proper oil film in order to prolong fatigue life To prevent corrosion and contamination by dirt Bearing lubrication is classified broadly into two categories: grease lubrication and oil lubrication. Table 1-1 makes a general comparison between the two. Table 1-1 Comparison between grease and oil lubrication Sealing device Item Grease Oil Easy Lubricating ability Rotation speed Replacement of lubricant Life of lubricant Good Low/medium speed Slightly troublesome Relatively short Cooling effect No cooling effect Filtration of Difficult dirt Grease lubrication Slightly complicated and special care required for maintenance Excellent Applicable at high speed as well Easy Long Good (circulation is necessary) Easy Grease lubrication is widely applied since there is no need for replenishment over a long period once grease is filled, and a relatively simple structure can suffice for the lubricant sealing device. There are two methods of grease lubrication. One is the closed lubrication method, in which grease is filled in advance into shielded/sealed ; the other is the feeding method, in which the and housing are filled with grease in proper quantities at first, and refilled at a regular interval via replenishment or replacement. Devices with numerous grease inlets sometimes employ the centralized lubricating method, in which the inlets are connected via piping and supplied with grease collectively. 1) Amount of grease In general, grease should fill approximately one-third to one-half the inside space, though this varies according to structure and inside space of housing. It must be borne in mind that excessive grease will generate heat when churned, and will consequently alter, deteriorate, or soften. When the is operated at low speed, however, the inside space is sometimes filled with grease to two-thirds to full, in order to preclude infiltration of contaminants. ) Replenishment/replacement of grease The method of replenishing/replacing grease depends largely on the lubrication method. Whichever method may be utilized, care should be taken to use clean grease and to keep dirt or other foreign matter out of the housing. In addition, it is desirable to refill with grease of the same brand as that filled at the start. When grease is refilled, new grease must be injected inside. Fig. 1-1 gives one example of a feeding method. Grease sector (Inside of housing A) Grease nipple Grease valve Fig. 1-1 Example of grease feeding method (using grease sector) In the example, the inside of the housing is divided by grease sectors. Grease fills one sector, then flows into the. A A 11 A 111 Tecnopoint srl Tel Fax [email protected]
62 1. Bearing lubrication On the other hand, grease flowing back from the inside is forced out of the by the centrifugal force of the grease valve. When the grease valve is not used, it is necessary to enlarge the housing space on the discharge side to store old grease. The housing is uncovered and the stored old grease is removed at regular intervals. [A] [B] 1 [C] ) Grease feeding interval In normal operation, grease life should be regarded roughly as shown in Fig. 1-, and replenishment/replacement should be carried out accordingly. 4) Grease life in shielded/sealed ball Grease life can be estimated by the following equation when a single-row deep groove ball is filled with grease and sealed with shields or seals. P log ( r ) L = d m n.5.5 ( d m n) T (1-1) C r where : L : grease life h d m = D + d (D : outside, d : bore ) mm n : rotational speed min 1 P r : dynamic equivalent radial load N C r : basic dynamic radial load rating N T : operating temperature of C Interval tf, h Nominal bore of d = 1 mm The conditions for applying equation (1-1) are as follows : a) Operating temperature of : T C Applicable when T 1 when T < 5, T = 5 When T > 1, please contact with JTEKT. c) Load condition : Applicable when. P r C r P r C r P r C r when <.5, [Notes] 1) [A] : radial ball [B] : cylindrical roller, needle roller [C] : tapered roller, spherical roller, thrust ball Rotational speed, min ) Temperature correction When the operating temperature exceeds 7 C, t f ', obtained by multiplying t f by correction coefficient a, found on the scale below, should be applied as the feeding interval. t f ' = t f a Temperature correction coefficient a b) Value of d m n Applicable when d m n 5 1 when d m n <15 1, d m n = 15 1 When d m n > 5 1, please contact with JTEKT. P r =.5 C r P When r >., please contact with JTEKT. C r Bearing operating temperature T C Fig. 1- Grease feeding interval A 11 A 11 Tecnopoint srl Tel Fax [email protected]
63 1. Bearing lubrication 1-1- Oil lubrication Oil lubrication is usable even at high speed rotation and somewhat high temperature, and is effective in reducing vibration and noise. Thus oil lubrication is used in many cases where grease lubrication does not work. Table 1- shows major types and methods of oil lubrication. r Forced oil circulation This method employs a circulation-type oil supply system. Supplied oil lubricates inside of the, is cooled and sent back to the tank through an oil escape pipe. The oil, after filtering and cooling, is pumped back. Widely used at high speeds and high temperature conditions. It is better to use an oil escape pipe approximately twice as thick as the oil supply pipe in order to prevent too much lubricant from gathering in housing. Required amount of oil : see Remark 1. Cooling Filtration q Oil bath Table 1- Type and method of oil lubrication Simplest method of immersion in oil for operation. Suitable for low/medium speed. Oil level gauge should be furnished to adjust the amount of oil. (In the case of horizontal shaft) About 5 % of the lowest rolling element should be immersed. (In the case of vertical shaft) About 7 to 8 % of the should be immersed. It is better to use a magnetic plug to prevent wear iron particles from dispersing in oil. a magnetic plug t Oil jet lubrication This method uses a nozzle to jet oil at a constant pressure (.1 to.5mpa), and is highly effective in cooling. Suitable for high speed and heavy load. Generally, the nozzle (.5 to mm) is located 5 to 1 mm from the side of a. When a large amount of heat is generated, to 4 nozzles should be used. Since a large amount of oil is supplied in the jet lubrication method, old should be discharged with an oil pump to prevent excessive residual oil. Required amount of oil : see Remark 1. w Oil drip Oil is dripped with an oiling device, and the inside of the housing is filled with oil mist by the action of rotating parts. This method has a cooling effect. Applicable at relatively high speed and up to medium load. In general, 5 to 6 drops of oil are utilized per minute. (It is difficult to adjust the dripping in 1mL/h or smaller amounts.) It is necessary to prevent too much oil from being accumulated at the bottom of housing. y Oil mist lubrication (spray lubrication) This method employs an oil mist generator to produce dry mist (air containing oil in the form of mist). The dry mist is continuously sent to the oil supplier, where the mist is turned into a wet mist (sticky oil drops) by a nozzle set up on the housing or, and is then sprayed onto. Required amount of mist : see Remark. This method provides and sustains the smallest amount of oil film necessary for lubrication, and has the advantages of preventing oil contamination, simplifying maintenance, prolonging fatigue life, reducing oil consumption etc. e Oil splash This type of lubrication method makes use of a gear or simple flinger attached to shaft in order to splash oil. This method can supply oil for s located away from the oil tank. Usable up to relatively high speed. It is necessary to keep oil level within a certain range. It is better to use a magnetic plug to prevent wear iron particles from dispersing in oil. It is also advisable to set up a shield or baffle board to prevent contaminants from entering the. (Example of grinding machine) Supply of oil Discharge of oil (Example of rolling mill) Supply of oil Supply of oil Discharge of oil Discharge of oil A 114 A 115 Tecnopoint srl Tel Fax [email protected]
64 1. Bearing lubrication u Oil/air lubrication A proportioning pump sends forth a small quantity of oil, which is mixed with compressed air by a mixing valve. The admixture is supplied continuously and stably to the. This method enables quantitative control of oil in extremely small amounts, always supplying new lubricating oil. It is thus suitable for machine tools and other applications requiring high speed. Oil/air inlet Oil/air inlet Compressed air and lubricating oil are supplied to the spindle, increasing the internal pressure and helping prevent dirt, cutting-liquid, etc. from entering. As well, this method allows the lubricating oil to flow through a feeding pipe, minimizing atmospheric pollution. JTEKT produces an oil/air lubricator and, air cleaner, as well as a spindle unit incorporating the oil/air lubrication system. Please refer to brochure "oil/air lubricator & air clean unit". Oil/air can be supplied here. Oil/air inlet (5 points) Oil/air outlet Oil/air outlet ( points) (Example of spindle unit incorporating oil/air lubrication system) Remark 1 Required oil supply in forced oil circulation ; oil jet lubrication methods l d n P G = 6 c r T Remark Notes on oil mist lubrication 1) Required amount of mist (mist pressure : 5 kpa) (In the case of a ) In the case of two oil ( seals combined ) Q = Q =.11dR 1.8d 1 1 where : Q : required amount of mist L/min d : nominal bore mm R : number of rolling element rows d 1 : inside of oil seal mm In the case of high speed (d m n 4 1 ), it is necessary to increase the amount of oil and heighten the mist pressure. ) Piping and design of lubrication hole/groove When the flow rate of mist in piping exceeds 5 m/s, oil mist suddenly condenses into an oil liquid. Consequently, the piping and dimensions of the lubrication hole/groove in the housing should be designed to keep the flow rate of mist, obtained by the following equation, from exceeding 5 m/s. ) Mist oil Oil used in oil mist lubrication should meet the following requirements. ability to turn into mist has high extreme pressure resistance good heat/oxidation stability rust-resistant unlikely to generate sludge superior demulsifier Oil mist lubrication has a number of advantages for high speed rotation s. Its performance, however, is largely affected by surrounding structures and operating conditions. If contemplating the use of this method, please contact with JTEKT for advice based on JTEKT long experience with oil mist lubrication. where : G : required oil supply L/min l : friction coefficient (see table at right) d : nominal bore mm n : rotational speed min 1 P : dynamic equivalent load of N c : specific heat of oil kJ/kg K r : density of oil g/cm T : temperature rise of oil K Values of friction coefficient l Bearing type Deep groove ball Angular contact ball Cylindrical roller Tapered roller Spherical roller l Q V = 5 A where : V : flow rate of mist m/s Q : amount of mist L/min A : sectional area of piping or lubrication groove cm The values obtained by the above equation show quantities of oil required to carry away all the generated heat, with heat release not taken into consideration. In reality, the oil supplied is generally half to two-thirds of the calculated value. Heat release varies widely according to the application and operating conditions. To determine the optimum oil supply, it is advised to start operating with two-thirds of the calculated value, and then reduce the oil gradually while measuring the operating temperature of, as well as the supplied and discharged oil. A 116 A 117 Tecnopoint srl Tel Fax [email protected]
65 1. Bearing lubrication 1- Lubricant 1--1 Grease Grease is made by mixing and dispersing a solid of high oil-affinity (called a thickener) with lubricant oil (as a base), and transforming it into a semi-solid state. As well, a variety of additives can be added to improve specific performance. (1) Base oil Mineral oil is usually used as the base oil for grease. When low temperature fluidity, high temperature stability, or other special performance is required, diester oil, silicon oil, polyglycolic oil, fluorinated oil, or other synthetic oil is often used. Generally, grease with a low viscosity base oil is suitable for applications at low temperature or high rotation speed; grease with high viscosity base oils are suitable for applications at high temperature or under heavy load. () Thickener Most greases use a metallic soap base such as lithium, sodium, or calcium as thickeners. For some applications, however, non-soap base thickeners (inorganic substances such as bentone, silica gel, and organic substances such as urea compounds, fluorine compounds) are also used. In general, the mechanical stability, operating temperature range, water resistance, and other characteristics of grease are determined by the thickener. (Lithium soap base grease) Superior in heat resistance, water resistance and mechanical stability. (Calcium soap base grease) Superior in water resistance; inferior in heat resistance. (Sodium soap base grease) Superior in heat resistance; inferior in water resistance. (Non-soap base grease) Superior in heat resistance. Table 1- Characteristics of respective greases Lithium grease Calcium grease (cup grease) Sodium grease (fiber grease) () Additives Various additives are selectively used to serve the respective purposes of grease applications. Extreme pressure agents When s must tolerate heavy or impact loads. Oxidation inhibitors When grease is not refilled for a long period. Structure stabilizers, rust preventives, and corrosion inhibitors are also used. (4) Consistency Consistency, which indicates grease hardness, is expressed as a figure obtained, in accordance with ASTM (JIS), by multiplication by 1 the depth (in mm) to which the coneshaped metallic plunger penetrates into the grease at 5 C by deadweight in 5 seconds. The softer the grease, the higher the figure. Table 1-4 shows the relationships between the NLGI scales and ASTM (JIS) penetration indexes, service conditions of grease. (NLGI : National Lubricating Grease Institute) Complex base grease Table 1-4 Grease consistency NLGI scale ASTM (JIS) penetration index 5 C, 6 mixing Service conditions/ applications operations For centralized lubricating For centralized lubricating, at low temperature For general use 5 For general use, at high temperature For special applications (5) Mixing of different greases Since mixing of different greases changes their properties, greases of different brands should not be mixed. If mixing cannot be avoided, greases containing the same thickener should be used. Even if the mixed greases contain the same thickener, however, mixing may still produce adverse effects, due to difference in additives or other factors. Thus it is necessary to check the effects of a mixture in advance, through testing or other methods. Non-soap base grease Thickener Lithium soap Calcium soap Sodium soap Lithium complex soap Calcium complex soap Bentone Urea compounds Fluorine compounds Thickener Base oil Dropping point ( C) Operating temperature range ( C) Rotation speed range Mechanical stability Water resistance Pressure resistance Remarks Mineral oil Synthetic oil (diester oil) Synthetic oil (silicon oil) Mineral oil Mineral oil Mineral oil Mineral oil Mineral oil Mineral/ synthetic oil Synthetic oil 17 to to to 6 8 to 1 16 to 18 5 or higher to 8 4 or higher 5 or higher to to to to + 7 to + 11 to to to + 15 to to + 5 Base oil Dropping point ( C) Operating temperature range ( C) Medium to high High Low to medium Low to medium Low to high Low to high Low to medium Medium to high Low to high Low to medium Rotation speed range Excellent Good to excellent Good Fair to good Good to excellent Good to excellent Good Good Good to excellent Good Mechanical stability Good Good Good Good Bad Good to excellent Good Good Good to excellent Good Water resistance Good Fair Bad to fair Fair Good to excellent Good Good Good to excellent Good to excellent Good Pressure resistance Most widely usable for various rolling s. Superior low temperature and friction characteristics. Suitable for s for measuring instruments and extra-small ball s for small electric motors. Superior high and low temperature characteristics. Suitable for applications at low rotation speed and under light load. Not applicable at high temperature. Liable to emulsify in the presence of water. Used at relatively high temperature. Superior mechanical stability and heat resistance. Used at relatively high temperature. Superior pressure resistance when extreme pressure agent is added. Used in s for rolling mills. Suitable for applications at high temperature and under relatively heavy load. Superior water resistance, oxidation stability, and heat stability. Suitable for applications at high temperature and high speed. Superior chemical resistance and solvent resistance. Usable at up to 5 C. Remarks A 118 A 119 Tecnopoint srl Tel Fax [email protected]
66 1. Bearing lubrication 1-- Lubricating oil For lubrication, s usually employ highly refined mineral oils, which have superior oxidation stability, rust-preventive effect, and high film strength. With diversification, however, various synthetic oils have been put into use. Type of lubricating oil Highly refined mineral oil [Selection of lubricating oil] The most important criterion in selecting a lubricating oil is whether the oil provides proper viscosity at the operating temperature. Standard values of proper kinematic viscosity can be obtained through selection by type according to Table 1-6 first, then through selection by operating conditions according to Table 1-7. When lubricating oil viscosity is too low, the oil film will be insufficient. On the other hand, when the viscosity is too high, heat will be generated due to viscous resistance. In general, the heavier the load and the higher the operating temperature, the higher the lubricating oil viscosity should be ; whereas, the higher the rotation speed, the lower the viscosity should be. Fig. 1- illustrates the relationship between lubricating oil viscosity and temperature. Table 1-5 Characteristics of lubricating oils Diester oil Silicon oil These synthetic oils contain various additives (oxidation inhibitors, rust preventives, antifoaming agents, etc.) to improve specific properties. Table 1-5 shows the characteristics of lubricating oils. Mineral lubricating oils are classified by applications in JIS and MIL. Major synthetic oils Polyglycolic oil Polyphenyl ether oil Fluorinated oil Operating temperature 4 to + 55 to to + 5 to + 15 to + to + range ( C) Lubricity Excellent Excellent Fair Good Good Excellent Oxidation stability Good Good Fair Fair Excellent Excellent Radioactivity resistance Bad Bad Bad to fair Bad Excellent Table 1-6 Proper kinematic viscosity by type Bearing type Ball Cylindrical roller Tapered roller Spherical roller Spherical thrust roller Proper kinematic viscosity at operating temperature 1mm / s or higher mm / s or higher mm / s or higher Operating temperature Table 1-7 Proper kinematic viscosities by operating conditions d m n value Proper kinematic viscosity (expressed in the ISO viscosity grade or the SAE No.) Light/normal load Heavy/impact load to C All rotation speeds ISO VG 15,, 46 Refrigerating machine oil or lower ISO VG 46 Bearing oil ISO VG 68 Turbine oil SAE to 6 C to 6 ISO VG Bearing oil Turbine oil ISO VG 68 6 or higher ISO VG 7, 1, (Bearing oil) or lower ISO VG 68 (Bearing oil) ISO VG 68, 1 SAE 6 to 1 C 1 to 15 C Viscosity mm /s to 6 ISO VG, 46 Bearing oil Turbine oil ISO VG 68 Bearing oil 6 or higher ISO VG,, 46 Turbine oil Machine oil or lower ISO VG 68, 1 SAE, 4 (Bearing oil) ISO VG 1 to 46 to 6 ISO VG 68 Bearing oil ISO VG 68, 1 SAE Turbine oil SAE, A: B: C: D: E: F: VG 1 VG 15 VG VG VG 46 VG 68 A B C D E F G H I J K L Bearing oil Turbine oil Bearing oil Turbine oil (Bearing oil) Bearing oil Turbine oil Bearing oil Gear oil (Bearing oil) D + d [Remarks] 1. d m n = n { D : nominal outside (mm), d : nominal bore (mm), n : rotational speed (min 1 )}. Refer to refrigerating machine oil (JIS K 11), turbine oil (JIS K 1), gear oil (JIS K 19), machine oil (JIS K 8) and oil (JIS K 9).. Please contact with JTEKT if the operating temperature is under C or over 15 C. ISO viscosity grade G : VG 1 H: VG 15 I : VG J: VG K: VG 46 L: VG Temperature C Fig. 1- Relationship between lubricating oil viscosity and temperature (viscosity index :1) A 1 A 11 Tecnopoint srl Tel Fax [email protected]
67 1. Bearing materials Bearing materials include steel for rings and rolling elements, as well as steel sheet, steel, copper alloy and synthetic resins for cages. These materials should possess the following characteristics : 1) High elasticity, durable under high partial contact stress. ) High strength against rolling contact fatigue due to large repetitive contact load. ) Strong hardness 4) High abrasion resistance 5) High toughness against impact load 6) Excellent dimensional stability Bearing rings Rolling elements Bearing rings Rolling elements Cages 1-1 Bearing rings and rolling elements materials 1) High carbon chromium steel High carbon chromium steel specified in JIS is used as a general material in rings (inner rings, outer rings) and rolling elements (balls, rollers). Their chemical composition classified by steel type is given in Table 1-1. Among these steel types, SUJ is generally used. SUJ, which contains additional Mn and Si, possesses high hardenability and is commonly used for thick section s. SUJ 5 has increased hardenability, because it was developed by adding Mo to SUJ. For small and medium size s, SUJ and SUJ are used, and for large size and extra-large size s with thick sections, SUJ 5 is widely used. Generally, these materials are processed into the specified shape and then undergo hardening and annealing treatment until they attain a hardness of 57 to 64 HRC. ) Case carburizing steel (case hardened steel) When a receives heavy impact loads, the surface of the should be hard and the inside soft. Such materials should possess a proper amount of carbon, dense structure, and carburizing case depth on their surface, while having proper hardness and fine structure internally. For this purpose, chromium steel and nickel-chromium-molybdenum steel are used as materials. Typical steel materials are shown in Table 1-. These materials also undergo vacuum degassing in order to reduce non-metallic inclusions and oxygen content which leads to higher reliability. ) Others For special applications, the following materials are used, according to operational conditions. (When very high reliability is required) high refining steel developed by JTEKT vacuum arc remelted steel electro slag remelted steel (When heat resistance is required) high speed steel for high temperature s refer to Table 1- (When high corrosion resistance is required) stainless steel refer to Table 1-4 (When high heat, corrosion, and chemical resistance are required) ceramics Standard JIS G 485 Table 1-1 Chemical composition of high carbon chromium steel Chemical composition ( % ) Code C Si Mn P S Cr Mo Not more Not more SUJ than.5 than.8 Not more Not more Not more SUJ than.5 than than.8 SUJ SAE J Not more than.5 Not more than [Remark] As for s which are induction hardened, carbon steel with a high carbon content of.55 to.65 % is used in addition to those listed in this table. Standard JIS G 45 SAE J 44 Table 1- Chemical composition of case carburizing steel Code SCr 415 SCr 4 SCM 4 SNCM SNCM 4 SNCM Not more than.6 Chemical composition ( % ) C Si Mn P S Ni Cr Mo Not more than. Not more than..6.9 Not more.4 than Not more than. Not more than.5 Not more than.5 Not more than.5 Not more than. Not more than. Not more than. Not more than. Not more than.4 Not more than.4 Not more than.5 Table 1- Chemical composition of high speed steel for high temperature s Standard Code AISI M Chemical composition ( % ) C Si Mn P S Cr Mo V Ni Cu Co W Not Not Not Not Not Not Not Not.77 more more more more more more more more.85 than than than than than than than than Table 1-4 Chemical composition of stainless steel Standard JIS G 4 Code SUS 44 C Chemical composition ( % ) C Si Mn P S Cr Mo.95 Not more Not more Not more Not more 16. Not more 1. than 1. than 1. than.4 than. 18. than.75 A 1 A 1 Tecnopoint srl Tel Fax [email protected]
68 1. Bearing materials 1- Materials used for cages Since the characteristics of materials used for cages greatly influence the performance and reliability of rolling s, the choice of materials is of great importance. It is necessary to select cage materials in accordance with required shape, ease of lubrication, strength, and abrasion resistance. Typical materials used for metallic cages are shown in Tables 1-5 and 1-6. In addition, phenolic resin machined cages and other synthetic resin molded cages are often used. Materials typically used for molded cages are polyacetal, polyamide (Nylon 6.6, Nylon 4.6), and polymer containing fluorine, which are strengthened with glass and carbon fibers. Table 1-5 Chemical compositions of pressed cage steel sheet (A) and machined cage carbon steel (B) Chemical composition ( % ) Standard Code C Si Mn P S Ni Cr Not more Not more Not more Not more JIS G 141 SPCC than.1 than.5 than.4 than.45 Not more Not more Not more Not more JIS G 11 SPHC than.15 than.6 than.5 than.5 (A) Not more Not more Not more BAS 61 SPB than.4 than. than. JIS G 45 SUS 4 Table 1-6 Chemical composition of high-tensile brass casting of machined cages (%) Impurity Standard Code Cu Zn Mn Fe AI Sn Ni Pb Si : Material with HBsC is used. Not more than.8 Not more than 1. Not more than. (B) JIS G 451 S 5 C JIS H 51 CAC 1 (HBsC ) Not more than.45 Not more than Not more than. Not more than.5 Not more than 1. Not more than Not more than.4 Not more than Shaft and housing design In designing the shaft and housing, the following should be taken into consideration. 1) Shafts should be thick and short. (in order to reduce distortion including bending) ) Housings should possess sufficient rigidity. (in order to reduce distortion caused by load) [Note] For light alloy housings, rigidity may be provided by inserting a steel bushing. Fig Example of light alloy housing ) The fitting surface of the shaft and housing should be finished in order to acquire the required accuracy and roughness. The shoulder end-face should be finished in order to be perpendicular to the shaft center or housing bore surface. (refer to Table 14-1) 4) The fillet radius (r a ) should be smaller than chamfer dimension of the. (refer to Tables 14-, 14-) [Notes] Generally it should be finished so as to form a simple circular arc. (refer to Fig. 14-) When the shaft is given a ground finish, a recess may be provided. (Fig. 14-) h h Housing r Bearing a r a Bearing Shaft Bushing r a1 Bearing Shaft Fig. 14- Fillet Fig. 14- Grinding radius undercut 5) The shoulder height (h) should be smaller than the outside of inner ring and larger than bore of outer ring so that the is easily dismounted. (refer to Fig. 14- and Table 14-) 6) If the fillet radius must be larger than the chamfer, or if the shaft/housing shoulder must be low/high, insert a spacer between the inner ring and shaft shoulder as shown in Fig. 14-4, or between the outer ring and the housing shoulder. Fig Example of shaft with spacer 7) Screw threads and lock nuts should be completely perpendicular to shaft axis. It is desirable that the tightening direction of threads and lock nuts be opposite to the shaft rotating direction. 8) When split housings are used, the surfaces where the housings meet should be finished smoothly and provided with a recess at the inner ends of the surfaces that meet. Recess Spacer r a Bearing Area where surfaces meet Fig Recesses on meeting surfaces 14-1 Accuracy and roughness of shafts and housings The fitting surface of the shaft and housing may be finished by turning or fine boring when the is used under general operating conditions. However, if the conditions require minimum vibration and noise, or if the is used under severe operating conditions, a ground finish is required. Recommended accuracy and roughness of shafts and housings under general conditions are given in Table A 14 A 15 Tecnopoint srl Tel Fax [email protected]
69 14. Shaft and housing design Table 14-1 Recommended accuracy and roughness of shafts and housings Housing bore classes, 6 IT IT 4 IT 4 IT 5 classes 5, 4 IT IT IT IT classes, 6 IT IT 4 IT 4 IT 5 Item Bearing class Shaft Roundness tolerance Cylindrical form tolerance Shoulder runout tolerance Roughness of fitting surfaces Ra classes 5, 4 IT IT IT IT classes, 6 IT IT IT 4 classes 5, 4 IT IT Small size s Large size s.8 a 1.6 a 1.6 a. a 14- Mounting dimensions Mounting dimensions mean the necessary dimensions to mount s on shafts or housings, which include the fillet radius or shoulder s. Standard values are shown in Table 14-. (The mounting related dimensions of each are given in the specification table.) The grinding undercut dimensions for ground shafts are given in Table 14-. For thrust s, the mounting dimensions should be carefully determined such that race will be perpendicular to the support and the supporting area will be wide enough. For thrust ball s, the shaft shoulder d a should be larger than pitch of ball set, while the shoulder of housing D a should be smaller than the pitch of ball set. (Fig. 14-6) For thrust roller s, the housing/shaft D a /d a should cover the lengths of both rollers. (Fig. 14-7) u d a u D a Fig Thrust ball s [Remark] Refer to the figures listed in the attached table when the basic tolerance IT is required. u d a Table 14- Shaft/housing fillet radius and shoulder height of radial s Unit : mm Housing r min r min Chamfer Shaft and housing dimension of Fillet Shoulder height r a max h inner ring or radius h min outer ring Bearing Shaft r a max r min r min [Notes] 1) Shoulder heights greater than those specified in the Table are required to accommodate heavy axial loads. ) Used when an axial load is small. These values are not recommended for tapered roller s, angular contact ball s, or spherical roller s. [Remark] Fillet radius can be applied to thrust s. h r min r a max General 1) cases Special ) cases Table 14- Grinding undercut dimensions for ground shafts r min r min Unit : mm Chamfer dimension Grinding undercut dimensions of inner ring r min t r g b b r g t u D a Fig Spherical thrust roller s A 16 A 17 Tecnopoint srl Tel Fax [email protected]
70 14. Shaft and housing design 14- Shaft design When s are mounted on shafts, locating method should be carefully determined. Shaft design examples for cylindrical bore s are given in Table 14-4, and those for s with a tapered bore in Table Table 14-4 Mounting designs for cylindrical bore s (a) Shaft locknut (b) End plate (c) Locating snap ring Lockwashers are used to prevent loosening of locknuts. When tapered roller s or angular contact ball s are transition-fitted to shafts, plain washers several mm thick as shown above (at right) should be added and tightened with nut. End of shaft should have bolt holes. Used when the housing inside is limited, or to simplify shaft machining Sealing devices Sealing devices not only prevent foreign matter (dirt, water, metal powder) from entering, but prevent lubricant inside from leaking. If the sealing device fails to function satisfactorily, foreign matter or leakage will cause damage as a result of malfunction or seizure. Therefore, it is necessary to design or choose the most suitable sealing devices as well as to choose the proper lubricating measures according to operating conditions. Sealing devices may be divided into non-contact and contact types according to their structure. They should satisfy the following conditions : Free from excessive friction (heat generation) Easy maintenance (especially ease of mounting and dismounting) As low cost as possible Non-contact type sealing devices A non-contact type sealing device, which includes oil groove, flinger (slinger), and labyrinth, eliminates friction because it does not have a contact point with the shaft. These devices utilize narrow clearance and centrifugal force and are especially suitable for operation at high rotation speed and high temperature. Table 14-6 (1) Non-contact type sealing devices (a) (1) Oil groove (b) Table 14-5 Mounting designs for s with tapered bore (d) Adapter assembly (e) Withdrawal sleeve ( f ) Shaft locknut (g) Split ring (c) The simplest method for axial positioning is just to attach an adapter sleeve to the shaft and tighten the locknuts. To prevent locknut loosening, lock-washer (not more than 18 mm in shaft ) or lock plate (not less than mm in shaft ) are used. The locknut (above) or end plate (below) fixes the with a withdrawal sleeve, which makes it easy to dismount the. The shaft is threaded in the same way as shown in Fig. (a). The is located by tightening locknut. A split ring with threaded outside is inserted into groove on the tapered shaft. A key is often used to prevent the locknut and split ring from loosening. This kind of seal having more than three grooves at the narrow clearance between the shaft and housing cover, is usually accompanied by other sealing devices except when it is used with grease lubrication at low rotation speed. Preventing entrance of contaminants can be improved by filling the groove with calcium grease (cup grease) having a consistency of 15 to. The clearance between the shaft and housing cover should be as narrow as possible. Recommended clearances are as follows. Shaft of less than 5mm.5.4mm Shaft of over 5mm.5 1 mm Recommended dimensions for the oil groove are as follows. Width 5mm Depth 4 5mm A 18 A 19 Tecnopoint srl Tel Fax [email protected]
71 14. Shaft and housing design (d) Flinger attached inside (f) Cover type flinger Table 14-6 () Non-contact type sealing devices () Flinger (slinger) () Labyrinth (e) Flinger attached outside (g) Oil thrower A flinger utilizes centrifugal force to splash away the oil and dirt. It produces an air stream which prevents oil leakage and dirt by a pumping action. In many cases, this device is used together with other sealing devices. A flinger installed inside the housing (Fig. d) provides an inward pumping action, preventing lubricant leakage; and, when installed outside (Fig. e), the outward pumping action prevents lubricant contamination. A cover type flinger (Fig. f) splashes away dirt and dust by centrifugal force. The oil thrower, shown in (Fig. g), is a kind of flinger. An annular ridge on the shaft or a ring fitted onto the shaft utilizes centrifugal force to prevent the lubricant from flowing out. (h) Axial labyrinth (j) Aligning labyrinth (i) Radial labyrinth (k) Axial labyrinth with greasing feature A labyrinth provides clearance in the shape of engagements between the shaft and housing. It is the most suitable for prevention of lubricant leakage at high rotation speed. Though an axial labyrinth, shown in (Fig. h), is popular because of its ease of mounting, the sealing effect is better in a radial labyrinth, shown in (Fig. i). An aligning labyrinth (Fig. j) is used with selfaligning type s. In the cases of (Fig. i) and (Fig. j), the housing or the housing cover should be split. Recommended labyrinth clearances are given in the following table. Shaft Radial clearance Axial clearance 5mm or less.5.4mm 1 mm Over 5mm.5 1 mm 5mm Contact type sealing devices This type provides a sealing effect by means of the contact of its end with the shaft and are manufactured from synthetic rubber, synthetic resin, or felt. The synthetic rubber oil seal is most popular. 1) Oil seals Many types and sizes of oil seals, as a finished part, have been standardized. JTEKT produces various oil seals. The names and functions of each oil seal part are shown in Fig and Table Table 14-8 provides a representative example. Case Outside surface Spring Sealing lip Sealing edge Minor lip (auxiliary lip) Fig Names of oil seal parts Rubber Table 14-8 Typical oil seal types Table 14-7 Complete list of oil seal part functions Names Sealing edge Sealing lip and spring Outside surface Case Minor lip (auxiliary lip) Functions Prevents fluid leakage by making contact with rotating shaft. The contact surface of the sealing edge with the shaft should always filled with lubricant, so as to maintain an oil film therein. Provides proper pressure on the sealing edge to maintain stable contact. Spring provides proper pressure on the lip and maintains such pressure for a long time. Fixes the oil seal to the housing and prevents fluid leakage through the fitting surface. Comes encased in metal cased type or rubber covered type. Strengthens seal. Prevents entry of contaminants. In many cases, the space between the sealing lip and minor lip is filled with grease. With case With inner case Without case Without spring With spring With spring HM ( JIS GM ) MH ( JIS G ) HMS ( JIS SM ) MHS ( JIS S ) CRS HMSH ( JIS SA ) MS HMA MHA HMSA ( JIS DM ) MHSA ( JIS D ) CRSA HMSAH ( JIS DA ) To improve sealing effect, fill the labyrinth clearance with grease, shown in (Fig. k). The oil seals shown in the lower row contain the minor lip (auxiliary lip). Special types of seals such as the mud resistance seal, pressure resistance seal and outer seal for rotating housings can be provided to serve under various operating conditions. By providing a slit on the oil seals, it is possible to attach them from other points than the shaft ends. A 1 A 11 Tecnopoint srl Tel Fax [email protected]
72 14. Shaft and housing design Oil seals without minor lips are mounted in different directions according to their operating conditions (shown in Fig. 14-9). Preventing lubricant leakage (a) Front facing inside Fig Direction of sealing lips and their purpose When the seal is used in a dirty operating environment, or penetration of water is expected, it is advisable to have two oil seals combined or to have the space between the two sealing lips be filled with grease. (shown in Fig. 14-1) Fig Seals used in a dirty operating environment Respective seal materials possess different properties. Accordingly, as shown in Table 14-9, allowable lip speed and operating temperature differ depending on the materials. Therefore, by selecting proper materials, oil seals can be used for sealing not only lubricants but also chemicals including alcohol, acids, alkali, etc. Table 14-9 Allowable lip speed and operating temperature range of oil seals Seal material NBR Acrylic rubber Silicone rubber Fluoro rubber Grease Allowable lip speed (m/s) 15 5 Preventing entry of foreign matters (b) Front facing outside Operating temperature range ( C) 4 to + 1 to to + 17 to + 18 To ensure the maximum sealing effect of the oil seal, the shaft materials, surface roughness and hardness should be carefully chosen. Table 14-1 shows the recommended shaft conditions. Table 14-1 Recommended shaft conditions Material Surface hardness Surface roughness (Ra) Machine structure steel, low alloy steel and stainless steel For low speed : harder than HRC For high speed : harder than 5 HRC..6a A surface which is excessively rough may cause oil leakage or abrasion ; whereas an excessively fine surface may cause sealing lip seizure, preventing the oil film from forming. Surface must also be free of spiral grinding marks. ) Felt seals and others Although felt seals have been used conventionally, it is recommended to replace them with rubber oil seals because the use of felt seals are limited to the following conditions. Light dust protection Allowable lip speed : not higher than 5m/s Contact type sealing devices include mechanical seals, O-rings and packings other than those described herein. JTEKT manufactures various oil seals ranging from those illustrated in Table14-8 to special seals for automobiles, large seals for rolling mills, mud resistance seals, pressure resistance seals, outer seals for rotating housings and O-rings. For details, refer to JTEKT separate catalog "Oil seals & O-rings" (CAT. NO. R1E). 15. Handling of s 15-1 General instructions Since rolling s are more precisely made than other machine parts, careful handling is absolutely necessary. 1) Keep s and the operating environment clean. ) Handle carefully. Bearings can be cracked and brinelled easily by strong impact if handled roughly. ) Handle using the proper tools. 4) Keep s well protected from rust. Do not handle s in high humidity. Operators should wear gloves in order not to soil s with perspiration from their hands. 5) Bearings should be handled by experienced or well trained operators. 6) Set operation standards and follow them. Storage of s Cleaning of s and their adjoining parts. Inspection of dimensions of adjoining parts and finish conditions Mounting Inspection after mounting Dismounting Maintenance and inspection (periodical inspection) Replenishment of lubricants 15- Storage of s In shipping s, since they are covered with proper anti-corrosion oil and are wrapped in antitarnish paper, the quality of the s is guaranteed as long as the wrapping paper is not damaged. If s are to be stored for a long time, it is advisable that the s be stored on shelves set higher than cm from the floor, at a humidity less than 65 %, and at a temperature around C. Avoid storage in places exposed directly to the sun s rays or placing boxes of s against cold walls. 15- Bearing mounting Recommended preparation prior to mounting 1) Preparation of s Wait until just before mounting before removing the s from their packaging to prevent contamination and rust. A 1 A 1 Tecnopoint srl Tel Fax [email protected] Since the anti-corrosion oil covering s is a highly capable lubricant, the oil should not be cleaned off if the s are pre-lubricated, or when the s are used for normal operation. However, if the s are used in measuring instruments or at high rotation speed, the anti-corrosion oil should be removed using a clean detergent oil. After removal of the anti-corrosion oil, s should not be left for a long time because they rust easily. ) Inspection of shafts and housings Clean up the shaft and housing to check whether it has flaws or burrs as a result of machining. Be very careful to completely remove lapping agents (SiC, Al O, etc.), casting sands, and chips from inside the housing. Next, check that the dimensions, forms, and finish conditions of the shaft and the housing are accurate to those specified on the drawing. The shaft and housing bore should be measured at the several points as shown in Figs and 15-. Fig Measuring points on shaft Fig. 15- Measuring points on housing bore Furthermore, fillet radius of shaft and housing, and the squareness of shoulders should be checked. When using shaft and housing which have passed inspection, it is advisable to apply machine oil to each fitting surface just before mounting.
73 15. Handling of s 15-- Bearing mounting Mounting procedures depend on the type and fitting conditions of s. For general s in which the shaft rotates, an interference fit is applied to inner rings, while a clearance fit is applied to outer rings. Interference fit of inner rings Interference fit of outer rings Bearings with cylindrical bore Bearings with tapered bore Press fit Shrink fit For s in which the outer rings rotate, an interference fit is applied to the outer rings. Interference fitting is roughly classified as shown here. The detailed mounting processes are described in Tables 15-1 to 15-. Applied to small size s with restricted interference. (Table 15-1) Applied to s which allow heavy interference or to large size s. Mounting on tapered shafts Mounting using sleeves Press fit Cooling fit (Table 15-) (Table 15-) (Table 15-) Most widely used method (Table 15-1) Bearings are fit into housings by cooling them with dry ice, etc. In this method, proper rust-preventive treatment is required, since moisture in the atmosphere adheres to s. Table 15-1 Press fit of s with cylindrical bores Mounting methods (Hydraulic pump) (a) Using press fit (the most widely used method) (b) Using bolts and nuts screw hole should be provided at the shaft end (c) Using hammers only when there is no alternative measure Descriptions As shown in the Fig., a should be mounted slowly with care, by using a fixture to apply force evenly to the. When mounting the inner ring, apply pressure to the inner ring only. Similarly, in mounting the outer ring, press only the outer ring. Mounting fixture Mounting fixture (Inner ring press fit) (Outer ring press fit) (Inner ring press fit) If interference is required on both the inner and outer ring of non-separable s, use two kinds of fixtures as shown in the Fig. and apply force carefully, as rolling elements are easily damaged. Be sure never to use a hammer in such cases. Mounting fixture Mounting fixture Simultaneous press fit of inner ring and outer ring Reference Force is necessary to press fit or remove s. The force necessary to press fit or remove inner rings of s differs depending on the finish of shafts and how much interference the s allow. The standard values can be obtained by using the following equations. (Solid shafts) (Hollow shafts) d D i K a = 9.8 f k deff B 1 1 (15-1) 1 d d D 1 i d K a = 9.8 f k deff B 1 d D i 1 (15-) In equations (15-1) and (15-), K a : force necessary for press fit or removal N deff : effective interference mm f k : resistance coefficient Coefficient taking into consideration friction between shafts and inner rings refer to the table on the right B : nominal inner ring width mm d : nominal inner ring bore mm D i : average outside of inner ring mm d : hollow shaft bore mm Value of resistance coefficient f k Conditions Press fitting s on to cylindrical shafts Removing s from cylindrical shafts Press fitting s on to tapered shafts or tapered sleeves Removing s from tapered shafts or tapered sleeves Press fitting tapered sleeves between shafts and s Removing tapered sleeves from the space between shafts and s f k A 14 A 15 Tecnopoint srl Tel Fax [email protected]
74 15. Handling of s Shrink fit Thermometer (a) Heating in an oil bath Table 15- Shrink fit of cylindrical bore s Descriptions This method, which expands s by heating them in oil, has the advantage of not applying too much force to s and taking only a short time. [Notes] Oil temperature should not be higher than 1 C, because s heated at higher than 1 C lose hardness. Heating temperature can be determined from the bore of a and the interference by referring to Fig Use nets or a lifting device to prevent the from resting directly on the bottom of the oil container. Since s shrink in the radial direction as well as the axial direction while cooling down, fix the inner ring and shaft shoulder tightly with the shaft nut before shrinking, so that no space is left between them. q Locknut Table 15- Mounting s with tapered bores Mounting methods w Hydraulic nut (a) Mounting on tapered shafts Descriptions When mounting s directly on tapered shafts, provide oil holes and grooves on the shaft and inject high pressure oil into the space between the fitting surfaces (oil injection). Such oil injection can reduce tightening torque of locknut by lessening friction between the fitting surfaces. When exact positioning is required in mounting a on a shaft with no shoulder, use a clamp to help determine the position of the. Shrink fit proves to be clean and effective since, by this method, the ring can be provided with even heat in a short time using neither fire nor oil. When electricity is being conducted, the itself generates heat by its electrical resistance, aided by the built-in exciting coil. Expansion of bore (μm) (b) Induction heater Temperature difference T = 9 C 8 C 7 C 6 C 5 C Bore d (mm) 4 C C C Fig. 15- Heating temperature and expansion of inner rings r 6 p 6 n 6 m 5 k 5 j 5 [Remarks] 1. Thick solid lines show the maximum interference value between s (class ) and shafts (r 6, p 6, n 6, m 5, k 5, j 5) at normal temperature.. Therefore, the heating temperature should be selected to gain a larger "expansion of the bore " than the maximum interference values. When fitting class s having a 9 mm bore to m 5 shafts, this figure shows that heating temperature should be 4 C higher than room temperature to produce expansion larger than the maximum interference value of 48 μm. However, taking cooling during mounting into consideration, the temperature should be set to C higher than the temperature initially required. q Locknut w Hydraulic nut (b) Mounting by use of an adapter sleeve q Locknut w Hydraulic nut (c) Mounting by use of a withdrawal sleeve Locating by use of a clamp When mounting s on shafts, locknuts are generally used. Special spanners are used to tighten them. Bearings can also be mounted using hydraulic nuts. special spanner When mounting tapered bore spherical roller s, the reduction in the radial internal clearance which gradually occurs during operation should be taken into consideration as well as the push-in depth described in Table Clearance reduction can be measured by a thickness gage. First, stabilize the roller in the proper position and then insert the gage into the space between the rollers and the outer ring. Be careful that the clearance between both roller rows and the outer rings is roughly the same (e e ). Since the clearance may differ at different measuring points, take measurements at several positions. e e' (d) Measuring clearances When mounting self-aligning ball s, leave enough clearance to allow easy aligning of the outer ring. A 16 A 17 Tecnopoint srl Tel Fax [email protected]
75 15. Handling of s Nominal bore d mm Table 15-4 Mounting tapered bore spherical roller s Reduction of radial internal clearance μm [Remark] The values for reduction of radial internal clearance listed above are values obtained when mounting s with CN clearance on solid shafts. In mounting s with C clearance, the maximum value listed above should be taken as the standard Test run A trial operation is conducted to insure that the s are properly mounted. In the case of compact machines, rotation may be checked by manual operation at first. If no abnormalities, such as those described below, are observed, then further trial operation proceeds using a power source. Knocking due to flaws or insertion of foreign matter on rolling contact surfaces. Excessive torque (heavy) due to friction on sealing devices, too small clearances, and mounting errors. Axial displacement, mm 1/1 taper 1/ taper C N clearance over up to min. max. min. max. min. max. Minimum required residual clearance, μm C clearance C 4 clearance Uneven running torque due to improper mounting and mounting errors. For machines too large to allow manual operation, idle running is performed by turning off the power source immediately after turning it on. Before starting power operation, it must be confirmed that s rotate smoothly without any abnormal vibration and noise. Power operation should be started under no load and at low speed, then the speed is gradually increased until the designed speed is reached. During power operation, check the noise, increase in temperature and vibration. If any of the abnormalities listed in Tables 15-5 and 15-6 are found, operation must be Cyclic Not cyclic Others stopped, and inspection for defects immediately conducted. The s should be dismounted if necessary. Table 15-5 Bearing noises, causes, and countermeasures Noise types Causes Countermeasures Flaw noise similar to noise when Flaw on raceway Improve mounting procedure, cleaning Rust noise punching a rivet Rust on raceway method and rust preventive method. Brinelling noise Brinelling on raceway Replace. (Unclear siren-like noise) similar to a large Flaking noise Flaking on raceway Replace. hammering noise Dirt noise (an irregular sandy noise.) Fitting noise Flaw noise, rust noise, flaking noise Squeak noise Abnormally large metallic sound Table 15-6 Causes and countermeasures for abnormal temperature rise Causes Too much lubricant Insufficient lubricant Improper lubricant Abnormal load Improper mounting excessive friction drumming or hammering noise often heard in cylindrical roller s with grease lubrication, especially in winter or at low temperatures Countermeasures Reduce lubricant amount. Use grease of lower consistency. Refill lubricant. Select proper lubricant. Review fitting and clearance conditions and adjust preload. Improve accuracy in processing and mounting shaft and housing. Review fitting. Improve sealing device. Insertion of foreign matter Improper fitting or excessive clearance Flaws, rust and flaking on rolling elements Improve cleaning method, sealing device. Use clean lubricant. Replace. Review fitting and clearance conditions. Provide preload. Improve mounting accuracy. Replace. If noise is caused by improper lubrication, a proper lubricant should be selected. In general, however, serious damage will not be caused by an improper lubricant if used continuously. Abnormal load Incorrect mounting Insufficient amount of or improper lubricant Review fitting, clearance. Adjust preload. Improve accuracy in processing and mounting shafts and housings. Improve sealing device. Refill lubricant. Select proper lubricant. Normally, listening rods are employed for noise inspections. The instrument detecting abnormalities through sound vibration and the Diagnosis System utilizing acoustic emission for abnormality detection are also applicable. In general, temperature can be estimated from housing temperature, but the most accurate method is to measure the temperature of outer rings directly via lubrication holes. Normally, temperature begins to rise gradually when operation is just starting; and, unless the has some abnormality, the temperature stabilizes within one or two hours. Therefore, a rapid rise in temperature or unusually high temperature indicates some abnormality. A 18 A 19 Tecnopoint srl Tel Fax [email protected]
76 15. Handling of s 15-5 Bearing dismounting After dismounting s, handling of the s and the various methods available for this should be considered. If the is to be disposed of, any simple method such as torch cutting can be employed. If the is to be reused or checked for the causes of its failure, the same amount of care as in mounting should be taken in dismounting so as not to damage the and other parts. Since s with interference fits are easily damaged during dismounting, measures to prevent damage during dismounting must be incorporated into the design. It is recommended that dismounting devices be designed and manufactured, if necessary. It is useful for discovering the causes of failures when the conditions of s, including mounting direction and location, are recorded prior to dismounting. Dismounting method Tables 15-7 to 15-9 describe dismounting methods for interference fit s intended for reuse or for failure analysis. The force necessary to remove s can be calculated using the equations given on page A 14. Table 15-7 Dismounting of cylindrical bore s Inner ring dismounting methods Fixtures (a) Dismounting by use of a press Descriptions Non-separable s should be treated carefully during dismounting so as to minimize external force, which affects their rolling elements. The easiest way to remove s is by using a press as shown in Fig. (a). It is recommended that the fixture be prepared so that the inner ring can receive the removal force. Figs. (b) and (c) show a dismounting method in which special tools are employed. In both cases, the jaws of the tool should firmly hold the side of the inner ring. (a) Dismounting by use of a wedge (c) Dismounting by use of clamps (e) Dismounting by use of locknuts Table 15-8 Dismounting tapered bore s Inner ring dismounting methods (f) Dismounting by use of bolts (b) Dismounting by use of oil pressure (d) Dismounting by use of hydraulic nuts (g) Dismounting by use of hydraulic nuts Descriptions Fig. (a) shows the dismounting of an inner ring by means of driving wedges into notches at the back of the labyrinth. Fig. (b) shows dismounting by means of feeding high pressure oil to the fitting surfaces. In both cases, it is recommended that a stopper (ex. shaft nuts) be provided to prevent s from suddenly dropping out. For s with an adapter sleeve, the following two methods are suitable. As shown in Fig. (c), fix s with clamps, loosen locknuts, then hammer off the adapter sleeve. This method is mainly used for small size s. Fig. (d) shows the method using hydraulic nuts. Small size s with withdrawal sleeves can be removed by tightening locknuts as shown in Fig. (e). For large size s, provide several bolt holes on locknuts as shown in Fig. ( f ), and tighten bolts. The s can then be removed as easily as small size s. Fig. (g) shows the method using hydraulic nuts. (b) Dismounting by use of special tools Removal jaws (c) Dismounting by use of special tools Fig. (d) shows an example of removal by use of an induction heater : this method can be adapted to both mounting and dismounting of the inner rings of NU and NJ type cylindrical roller s. The heater can be used for heating and expanding inner rings in a short time. Table 15-9 Dismounting of outer rings Outer ring dismounting methods Description To dismount outer rings with interference fits, it is recommended that notches or bolt holes be provided on the shoulder of the housings. (d) Dismounting using induction heater (a) Notchs for dismounting (b) Bolt holes and bolts for dismounting A 14 A 141 Tecnopoint srl Tel Fax [email protected]
77 15. Handling of s 15-6 Maintenance and inspection of s Periodic and thorough maintenance and inspection are indispensable to drawing full performance from s and lengthening their useful life. Besides, prevention of accidents and down time by early detection of failures through maintenance and inspection greatly contributes to the enhancement of productivity and profitability Cleaning Before dismounting a for inspection, record the physical condition of the, including taking photographs. Cleaning should be done after checking the amount of remaining lubricant and collecting lubricant as a sample for examination. A dirty should be cleaned using two cleaning processes, such as rough cleaning and finish cleaning. It is recommended that a net be set on the bottom of cleaning containers. In rough cleaning, use brushes to remove grease and dirt. Bearings should be handled carefully. Note that raceway surfaces may be damaged by foreign matter, if s are rotated in cleaning oil. During finish cleaning, clean s carefully by rotating them slowly in cleaning oil. In general, neutral water-free light oil or kerosene is used to clean s, a warm alkali solution can also be used if necessary. In any case, it is essential to keep oil clean by filtering it prior to cleaning. Apply anti-corrosion oil or rust preventive grease on s immediately after cleaning Inspection and analysis Before determining that dismounted s will be reused, the accuracy of their dimensions and running, internal clearance, fitting surfaces, raceways, rolling contact surfaces, cages and seals must be carefully examined, so as to confirm that no abnormality is present. It is desirable for skilled persons who have sufficient knowledge of s to make decisions on the reuse of s. Criteria for reuse differs according to the performance and importance of machines and inspection frequency. If the following defects are found, replace the with a new one. Cracks and chips in components Flaking on the raceway surfaces and the rolling contact surfaces Other failures of a serious degree described in the following section "16. Examples of failures." 15-7 Methods of analyzing failures It is important for enhancing productivity and profitability, as well as for accident prevention that abnormalities in s are detected during operation. Representative detection methods are described in the following section. 1) Noise checking Since the detection of abnormalities in s from noises requires ample experience, sufficient training must be given to inspectors. Given this, it is recommended that specific persons be assigned to this work in order to gain this experience. Attaching hearing aids or listening rods on housings is effective for detecting noise. ) Checking of operating temperature Since this method utilizes change in operating temperature, its application is limited to relatively stable operations. For detection, operating temperatures must be continuously recorded. If abnormalities occur in s, operating temperature not only increase but also change irregularly. It is recommended that this method be employed together with noise checking. ) Lubricant checking This method detects abnormalities from the foreign matter, including dirt and metallic powder, in lubricants collected as samples. This method is recommended for inspection of s which cannot be checked by close visual inspection, and large size s. A 14 A 14 Tecnopoint srl Tel Fax [email protected]
78 16. Examples of failures Table 16-1 (1) Bearing failures, causes and countermeasures Failures Characteristics Damages Causes Countermeasures z Flaking x Cracking, chipping Flaking is a phenomenon when material is removed in flakes from a surface layer of the raceways or rolling elements due to rolling fatigue. This phenomenon is generally attributed to the approaching end of service life. However, if flaking occurs at early stages of service life, it is necessary to determine causes and adopt countermeasures. [Reference] Pitting Pitting is another type of failure caused by rolling fatigue, in which minute holes of approx..1 mm in depth are generated on the raceway surface. c Brinelling, nicks Brinelling is a small surface indentation generated either on the raceway through plastic deformation at the contact point between the raceway and rolling elements, or on the rolling surfaces from insertion of foreign matter, when heavy load is applied while the is stationary or rotating at a low rotation speed. (Brinelling) (A-695) (A-6617) (A-6961) Nicks are those indentations produced directly by rough handling such as hammering. (A-6476) Flaking occurring at an incipient stage Flaking on one side of radial raceway Symmetrical flaking along circumference of raceway Slanted flaking on the radial ball raceway Flaking occurring near the edge of the raceway or rolling contact surface of roller s Flaking on the raceway surface at the same interval as rolling element spacing Cracking in outer ring or inner ring Cracking on rolling elements Cracking on the rib Brinelling on the raceway or rolling contact surface Brinelling on the raceway surface at the same interval as the rolling element spacing Nicks on the raceway or rolling contact surface Too small internal clearance Improper or insufficient lubricant Too much load Rust Provide proper internal clearance. Select proper lubricating method or lubricant. Extraordinarily large axial load Fitting between outer ring on the free side and housing should be changed to clearance fit. Inaccurate housing roundness Correct processing accuracy of housing bore. Especially for split housings, care should be taken to ensure processing accuracy. Improper mounting Shaft deflection Inaccuracy of the shaft and housing Heavy impact load during mounting A flaw of cylindrical roller s or tapered roller s caused when they are mounted. Rust gathered while out of operation Excessive interference Excessive fillet on shaft or housing Heavy impact load Advanced flaking or seizure Heavy impact load Advanced flaking Impact on rib during mounting Excessive axial impact load Correct centering. Widen internal clearance. Correct squareness of shaft or housing shoulder. Improve mounting procedure. Provide rust prevention treatment before long cessation of operation. Select proper fit. Adjust fillet on the shaft or in the housing to smaller than that of the chamfer dimension. Re-examine load conditions. Improve mounting and handling procedure. Re-examine load conditions. Improve mounting procedure. Re-examine load conditions. Entry of foreign matter Clean and its peripheral parts. Improve sealing devices. Impact load during mounting Excessive load applied while is stationary Improve mounting procedure. Improve machine handling. Careless handling Improve mounting and handling procedure. A 144 A 145 Tecnopoint srl Tel Fax [email protected]
79 16. Examples of failures Table 16-1 () Bearing failures, causes and countermeasures Failures Characteristics Damages Causes Countermeasures v Pear skin, discoloration b Scratches, scuffing (Discoloration) (Scuffing) (A-67) (A-6459) Pear skin is a phenomenon in which minute brinell marks cover the entire rolling surface, caused by the insertion of foreign matter. This is characterized by loss of luster and a rolling surface that is rough in appearance. In extreme cases, this is accompanied by discoloration due to heat generation. Discoloration is a phenomenon in which the surface color changes because of staining or heat generation during rotation. Color change caused by rust and corrosion is generally separate from this phenomenon. Scratches are relatively shallow marks generated by sliding contact, in the same direction as the sliding. This is not accompanied by apparent melting of material. Scuffing refers to marks, the surface of which are partially melted due to higher contact pressure and therefore a greater heat effect. Generally, scuffing may be regarded as a serious case of scratches. Indentation similar to pear skin on the raceway and rolling contact surface. Discoloration of the raceway, surface rolling contact surface, rib face, and cage riding land. Scratches on raceway or rolling contact surface Scuffing on rib face and roller end face Entry of minute foreign matter Clean the and its peripheral parts. Improve sealing device. Too small internal clearance Improper or insufficient lubricant Quality deterioration of lubricant due to aging, etc. Insufficient lubricant at initial operation Careless handling Improper or insufficient lubricant Improper mounting Excessive axial load Provide proper internal clearance. Select proper lubricating method or lubricant. Apply lubricant to the raceway and rolling contact surface when mounting. Improve mounting procedure. Select proper lubricating method or lubricant. Correct centering of axial direction. n Smearing Smearing is a phenomenon in which a cluster of minute seizures cover the rolling contact surface. Since smearing is caused by high temperature due to friction, the surface of the material usually melts partially ; and, the smeared surfaces appear very rough in many cases. (A-664) Smearing on raceway or rolling contact surface Improper or insufficient lubricant Slipping of the rolling elements This occurs due to the break down of lubricant film when an abnormal self rotation causes slip of the rolling elements on the raceway. Select proper lubricating method or lubricant. Provide proper preload. m Rust, corrosion (A-71) Rust is a film of oxides, or hydroxides, or carbonates formed on a metal surface due to chemical reaction. Corrosion is a phenomenon in which a metal surface is eroded by acid or alkali solutions through chemical reaction (electrochemical reaction such as chemical combination and battery formation) ; resulting in oxidation or dissolution. It often occurs when sulfur or chloride contained in the lubricant additives is dissolved at high temperature. Rust partially or completely covering the surface. Rust and corrosion at the same interval as rolling element spacing Improper storage condition Dew formation in atmosphere Contamination by water or corrosive matter Improve storage conditions. Improve sealing devices. Provide rust preventive treatment before long cessation of operation. Improve sealing devices., Electric pitting (A-665) When an electric current passes through a while in operation, it can generate sparks between the raceway and rolling elements through a very thin oil film, resulting in melting of the surface metal in this area. This phenomenon appears to be pitting at first sight. (The resultant flaw is referred to as a pit.) When the pit is magnified, it appears as a hole like a crater, indicating that the material melted when it was sparking. In some cases, the rolling surface becomes corrugated by pitting. Pitting or a corrugated surface failure on raceway and rolling contact surface The s must be replaced, if the corrugated texture is found by scratching the surface with a fingernail or if pitting can be observed by visual inspection. Sparks generated when electric current passes through s Providing a bypass which prevents current from passing through s. Insulation of s. A 146 A 147 Tecnopoint srl Tel Fax [email protected]
80 16. Examples of failures Table 16-1 () Bearing failures, causes and countermeasures Failures Characteristics Damages Causes Countermeasures. Wear Normally, wear of is observed on sliding contact surfaces such as roller end faces and rib faces, cage pockets, the guide surface of cages and cage riding lands. Wear is not directly related to material fatigue. Wear caused by foreign matter and corrosion can affect not only sliding surfaces but rolling surfaces. (A-4719) Wear on the contact surfaces (roller end faces, rib faces, cage pockets) Wear on raceways and rolling contact surfaces Improper or insufficient lubricant Entry of foreign matter Improper or insufficient lubricant Select proper lubricating method or lubricant. Improve sealing device. Clean the and its peripheral parts. Fretting Fretting occurs to s which are subject to vibration while in stationary condition or which are exposed to minute vibration. It is characterized by rust-colored wear particles. Since fretting on the raceways often appears similar to brinelling, it is sometimes called "falsebrinelling". (A-6649) Rust-colored wear particles generated on the fitting surface (fretting corrosion) Brinelling on the raceway surface at the same interval as rolling element spacing (false brinelling) Insufficient interference Provide greater interference Apply lubricant to the fitting surface Vibration and oscillation when s are stationary. Improve fixing method of the shaft and housing. Provide preload to. 1 Creeping Creeping is a phenomenon in which rings move relative to the shaft or housing during operation. Wear, discoloration and scuffing, caused by slipping on the fitting surfaces Insufficient interference Insufficient tightening of sleeve Provide greater interference. Proper tightening of sleeve. (A-6647) Damage to cages (A-6455) Since cages are made of low hardness materials, external pressure and contact with other parts can easily produce flaws and distortion. In some cases, these are aggravated and become chipping and cracks. Large chipping and cracks are often accompanied by deformation, which may reduce the accuracy of the cage itself and may hinder the smooth movement of rolling elements. Flaws, distortion, chipping, cracking and excessive wear in cages. Loose or damaged rivets. Extraordinary vibration, impact, moment Improper or insufficient lubricant Improper mounting (misalignment) Dents made during mounting Re-examine load conditions. Select proper lubricating method or lubricant. Minimize mounting deviation. Re-examine cage types. Improve mounting. Seizure A phenomenon caused by abnormal heating in s. (A-6679) Discoloration, distortion and melting together Too small internal clearance Improper or insufficient lubricant Excessive load Aggravated by other flaws Provide proper internal clearance. Select proper lubricating method or lubricant. Re-examine type. Earlier discovery of flaws. A 148 A 149 Tecnopoint srl Tel Fax [email protected]
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