sfpslide UNIT 7 4 mximum TRVEL in mm 7.8 18 133.8 34 SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL TOLERNCE REPETILITY VELOCITY LURICTION MINTENNCE ORE DImETER EFFECTIVE RE SE WEIGHT in mm in mm lb kg 1. 7.88 57 7. 3.7 1.57 4 1.95.1 9. SERIES SFP 3 psi min to 11 psi max [.5 bar min to 8 bar max] air 41 to 14 F [5 to C] +./-. in [+3./-. mm] ±.1 in [±.5 mm] of original position 4 to in/sec [.1 to 1.5 m/sec] Factory lubricated for life Field repairable DDER WEIGHT (per 5mm) lb kg.37.17.71.3 TYPICL DYNmIC LOD lb N - 1-44 - 5 89-11 NOTE: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. moving SDDLE lb.3.5 kg 1.4.95 mximum ERING CPCITY LOD PITCH moment YW moment ROLL moment lb N in-lb Nm in-lb Nm in-lb Nm 7 94 48 4 5. 4 5. 99 33.8 4 1971 877 1535 173.4 1535 173.4 911.9 DIRECTION Extend Retract FORCE TLE SFP7 lb/psi.887.887 N/bar 57.3 57.3 lb/psi 1.948 1.948 SFP4 N/bar 5.7 5.7 CYLINDER FORCE CLCULTIONS Imperial F = P x Metric F =.1 x P x F = Cylinder Force lbs N P = Operating Pressure psi bar = Effective rea in mm (Extend or Retract) STTIC moment CHRT HORIZONTL HORIZONTL SDDLE TOP OR OTTOm VERTICL SDDLE ON SIDE Mp (Pitch) = Load x b Mp = Load x e Mp = My (Yaw) = My = Load x j My = Load x b Mr (Roll) = Load x j Mr = Mr = Load x e See Pneumatic Diagrams in back of series section. d CONSTNT in mm 7 1.448 3.8 4 1.713 43.5 NOTE: e = c + d LOD (W) HORIZONTL SDDLE ON TOP/OTTOm j b PITCH c L - YW L + ROLL LOD (W) j VERTICL b c b c HORIZONTL SDDLE ON SIDE YW L + PITCH ROLL L - PITCH L - L + ROLL YW j LOD (W) 8 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFP SLIDE SLIDE SELECTION The process of selecting the proper Series SFP Slide consists of four main steps: 1) Determine pplication Data ) Determine Thrust Capacity 3) Determine Stopping Method 4) Determine earing Capacity Using the Cushion Capacity Graphs on page 88, plot the Total Moving Weight (WTM) against Impact Velocity (VI). If the value is below the curve, then cushions are an adequate deceleration method. If it is above the curve, hydraulic shock absorbers are required. To determine the correct hydraulic shock absorbers, complete the calculations on page 89. 1 3 DETERMINE PPLICTION DT The first step in determining the proper Series SFP actuator size is to determine the application data. Following are the factors that are needed: Load Weight = lb [Kgf] Required Stroke = in [mm] Desired Travel Time = sec Operating Pressure = psi [bar] Orientation (select the illustration from page 88 that most resembles your application): Horizontal, Saddle Top or ottom Horizontal, Saddle on Side Vertical Load Position (center of gravity): b = in [mm] c = in [mm] j = in [mm] d = in [mm] earing constant distance e = c + d, in [mm] DETERMINE THRUST CPCITY Use the effective piston area (see Cylinder Force Calculations and table on page 8) to determine if the cylinder has sufficient thrust to move the total moving load. Maintain a minimum ratio of thrust to total moving load of to 1 for vertical applications. F = P x DETERMINE STOPPING METHOD To determine the best stopping method, Impact Velocity (VI) and Total Moving Weight (WTM) must be calculated. Following are the formulas for determining verage Velocity (V) and Impact Velocity (VI). Units will be in either in/sec or [mm/sec]. V = Stroke/Desired Cycle Time VI = V x 1.4 Following is the Total Moving Weight (WTM) formula (Saddle Moving Weight is charted on the table on page 8). Units will be in lb [Kgf]. 4 DETERMINE ERING CPCITY To determine if the actuator has the bearing capacity for an acceptable life the static and dynamic loads must be calculated. Following are the static loading formulas (orientation of the slide must be considered) to be compared to the maximum allowable charted on page 8. e sure to include any additional external forces applied to the slide that may occur during the application of the slide. STTIC FORMULS Horizontal, Saddle Top or ottom (Direct Load rate is the same for both a positive or negative force) Pitch = w x b Yaw = Roll = w x j Horizontal, Saddle on Side (Direct Load rate is the same for lateral positive or negative force. Note that distance e = Center of Gravity Distance c + constant d on the Dynamic Combined Loading Formula Table on page 88). Pitch = Yaw = w x b Roll = w x e Vertical (Direct Load is not used in this calculation since all loading produces moment forces. Note that distance e = Center of Gravity Distance c + constant d on the Dynamic Combined Loading Formula Table on page 88). Pitch = w x c Yaw = w x j Roll = DYNMIC FORMULS fter selecting the formula that best describes your application orientation and desired units of measure, calculate the combined loading for the Dynamic Combined Loading Formula Table on page 88 and compare the results with the maximum allowable charted. If the result is less than or equal to the maximum allowable, the actuator has sufficient bearing capacity for the application. Note: Variable a is given on the Deceleration Velocity Factor Charts on page 88. WTM = ttached Load + Saddle Moving Weight See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 87 8
SFP SLIDE HORIZONTL SDDLE ON SIDE b c YW ROLL L + PITCH L - HORIZONTL SDDLE ON TOP/OTTOm LOD (W) j b PITCH c L - YW L + ROLL LOD (W) j b c VERTICL Impact Velocity in/sec [mm/sec] 7 [1778] [154] 5 [7] 4 [11] 3 [7] [58] 1 [54] j LOD (W) SFP7 CUSHION CPCITY Chart shown at Max. EK - lb-in Velocity Factor in/sec [M/sec ] 7 [177.8] [15.4] 5 [7.] 4 [11.] 3 [7.] [5.8] 1 [5.4] PITCH YW L + L - ROLL SFP7 DECELERTION VELOCITY FCTOR CUSHION SHOCK SORER Impact Velocity in/sec [mm/sec] 7 [1778] [154] 5 [7] 4 [11] 3 [7] [58] 1 [54] 1 3 4 5 7 [4.54] [9.7] [13.1] [18.14] [.8] [7.] [31.75] Total Moving Weight lb [Kgf] SFP4 CUSHION CPCITY Chart shown at Max. EK - 53.8 lb-in 4 8 1 14 1 18 [9.7] [18.14] [7.] [3.9] [45.3] [54.43] [3.5] [7.58] [81.5] [9.7] Total Moving Weight lb [Kgf] Velocity Factor in/sec [M/sec ] 5 [7.] 4 [11.] 3 [7.] 1 3 4 5 [54] [58] [7] [11] [7] [154] Impact Velocity in/sec [mm/sec] SFP4 DECELERTION VELOCITY FCTOR [5.8] 1 [5.4] 1 3 4 5 [54] [58] [7] [11] [7] [154] Impact Velocity in/sec [mm/sec] CUSHION SHOCK SORER DYNmIC COmINED LODING (CL) FORmUL 7 4 POSITION HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL ImPERIL/mETRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC d CONSTNT 1.448 3.8 1.448 3.8 1.448 3.8 1.713 43.5 1.713 43.5 1.713 43.5 FORmUL CL = 1.4W(.5 + (1.84b) + (.54a(e +j)) + (1.5811j)) CL = 1.4W(.5 + (.4474b) + (.48a(e +j)) + (.8j)) CL = 1.4W(.5 + (1.84b) + (.54a(e +j)) + (1.5811e)) CL = 1.4W(.5 + (.4474b) + (.48a(e +j)) + (.8e)) CL = 1.4W(1.84(e + j) +.54a(e +j)) CL = 1.4W(.4474(e + j) + (.48a(e +j)) CL = 1.4W(.5 + (.483b) + (.159a(e +j)) + (1.885j)) CL = 1.4W(.5 + (.538b) + (.581a(e +j)) + (.43j)) CL = 1.4W(.5 + (.483b) + (.159a(e +j)) + (1.885e)) CL = 1.4W(.5 + (.538b) + (.581a(e +j)) + (.43e)) CL = 1.4W(.483(e + j) +.159a(e +j)) CL = 1.4W(.538(e + j) + (.581a(e +j)) mx CL 474 lb 15 Kgf 474 lb 15Kgf 474 lb 15 Kgf 985 lb 448 Kgf 985 lb 448 Kgf 985 lb 448 Kgf 88 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFP SLIDE SHOCK SORER SPECIFICTIONS CHRT 7 4 PRT NO. 39---xx 39-3--xx STROKE in m.58.147.74.188 THRED TYPE M14x1.5 Mx1.5 TOTL ENERGY PER CYCLE (ET) in-lb Nm 18.3 5 8. TOTL ENERGY PER HOUR (ETC) in-lb Nm 39 34 4 45194 mx PROPELLING FORCE (FG) lb N 89 4 1779 RECOVER TImE (TR) sec.33.33 SHOCK SORER SIZING CLCULTION: Follow the next six steps to size shock absorbers. Step 1: Identify the following parameters. These must be known for all energy absorption calculations. Variations or additional information may be required in some cases.. The total moving weight (WTM) to be stopped.. The slide velocity at impact with the shock absorber (VI). C. Number of cycles per hour. D. Orientation of the application s motion (i.e. horizontal or vertical application). E. Operating Pressure Step : Calculate the kinetic energy of the total moving weight. EK (in-lb) =.5 x WTM x VI EK (Nm) =.5 WTM (N) x VI 38 9.8 or Note: WTM in kg mass may be substituted for WTM EK (Nm) =.5 x WTM (Kgm) x VI 9.8 Step 3: Calculate the propelling force (FD). Horizontal application: FD = Effective Piston rea x P Vertical application: FD = (Effective Piston rea x P) ± WTM + indicates working with gravity/- indicates working against gravity Note: When using mm and bar units, it will be necessary to multiply the Effective Piston rea x P by a factor of.1 to obtain the correct unit of measure. Use Shock bsorber Specifications Chart to verify that the selected unit has an FG capacity greater than the value just calculated. If not, select a larger shock absorber or slide. SYMOLS DEFINITIONS C = Number of cycles per hour D = Cylinder bore diameter inch [mm] EK = Kinetic Energy in-lb [Nm] ET = Total energy per cycle, EK + EW in-lb [Nm] ETC = Total energy per hour in-lb/hr [Nm/hr] EW = Work or drive energy in-lb [Nm] FD = Propelling force lb [N] FG = Max. Propelling force lb [N] P = Operating pressure psi [bar] S = Stroke of shock absorber inch [m] TR = Shock recovery time sec V = verage velocity in/sec [m/sec] VI = Impact velocity in/sec [m/sec] WTM = Total moving weight lb [N or kg] ImPCT VELOCITY (VI) (in/sec) [mm/sec] SFP7 SHOCK SORERS 8 [3] 7 [1778] -5 [159] 5 [7] 4 [11] - 3 [7] - [58] 1 [54] -3 Consult PHD 4 8 1 14 1 18 [.] [4.5] [.78] [9.4] [11.3] [13.5] [14.9] [18.8] [.34] [.] TOTL KINETIC ENERGY (ET) in-lb [N-m] Calculate the work energy input (EW = FD x S) using the travel of the shock absorber selected. Step 4: Calculate the total energy. ET = EK + EW Use the Shock bsorber Specifications Chart to verify that the selected unit has an ET capacity greater that the value just calculated. If not, select a larger shock absorber or slide. Step 5: Calculate the total energy that must be absorbed per hour (ETC). ETC = ET x C Use the Shock bsorber Specifications Chart to verify that the selected unit has an ETC capacity greater than the value calculated. If not, select a larger shock absorber or slide. Step : Determine the damping constant for the selected shock absorber. Using the appropriate Shock bsorber Performance Graph, locate the intersection point for impact velocity (VI) and total energy (ET). The area (- or -3) that the point falls in is the correct damping constant for the application. ImPCT VELOCITY (VI) (in/sec) [mm/sec] 8 [3] 7 [1778] [159] 5 [7] 4 [11] 3 [7] [58] 1 [54] SFP4 SHOCK SORERS - -3-4 Consult PHD 5 5 75 1 5 15 175 5 5 75 3 [.83] [5.5] [8.48] [11.3] [14.13] [1.97] [19.78] [.] [5.43] [8.5] [31.8] [33.9] TOTL KINETIC ENERGY (ET) in-lb [N-m] NOTE: Contact PHD for applications outside of above energy rating and shock specifications. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 89 8
SFP SLIDE PNEUMTIC DIGRM VERTICL OPERTION HORIZONTL OPERTION GRVITY For horizontal operation, one 3-position 4-way pressure center valve or two 3-way valves are recommended. IN EX IN EX IN EX REGULTOR SET TO HIGHER PRESSURE REGULTOR SET TO LOWER PRESSURE For vertical operation, two 3-way valves are recommended. 9 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFP SLIDE Example 1 - Horizontal, Saddle on Top/ottom Step 1: Determine pplication Data Orientation = Horizontal, Saddle on Top/ottom Load Weight = 1 lb [4.5 Kgf] Required Stroke = 4 in [1 mm] Desired Travel Time =.75 sec Cycles per hour = 18 Pressure = 87 psi [ bar] Load Position (The following dimensions are represented in the Horizontal, Saddle on Top/ottom illustration on page 88.): b = in [5.8 mm] c = in [5.8 mm] j = in [ mm] d = 1.448 in [3.8 mm] e = c + d = + 1.448 = 3.448 in [87. mm] Step : Determine Thrust Capacity F = P x F = 87 x.887 = 77.17 lb [F = x 573 x.1 = 343.8 N = 35. Kgf] SFP7 has sufficient force to move the 1 lb [4.5 Kgf] load. Step 3: Determine Stopping Method V = 4/.75 = 3 in/sec [V = 1/.75 = 814 mm/sec] VI = 3 x 1.4 = 44.8 in/sec [VI = 814 x 1.4 = 114 mm/sec] WTM = 1 lb +.3 lb =.3 lb [WTM = 4.54 Kgf + 1.4 Kgf = 5.58 Kgf].. CENTER OF LOD INCLUDING TRNSITION PLTE SDDLE SURFCE CENTER OF SDDLE SURFCE CL = 1.4(.3)(.5 + (1.84()) + (.54(173)(3.4481 + )) + (1.5811 x ) [CL = 1.4(5.58)(.5 + (.4474(5.8)) + (.48(43.94)(87.58 + )) + (.8 x ))] CL = 8.45 lb [7.59 Kgf] Maximum allowable is 474 lb [15 Kgf]. Therefore a SFP7-N5 unit should be specified. Example - Horizontal, Saddle on Side Step 1: Determine pplication Data Orientation = Horizontal, Saddle on Side Load Weight = 117 lb [53.7 Kgf] Required Stroke = 31.5 in [8 mm] Desired Travel Time = 3 sec Cycles per hour = 515 Pressure = psi [7 bar] Load Position (The following dimensions are represented in the Horizontal, Saddle on Side illustration on page 88.): b = 1.99 in [5 mm] c =.984 in [5 mm] j = in [ mm] d = 1.713 in [43.5 mm] e = c + d =.984 + 1.713 =.97 in [8.5 mm] Step : Determine Thrust Capacity CENTER OF SDDLE SURFCE 5 mm SDDLE SURFCE 5 mm CENTER OF LOD (INCLUDING TRNSITION PLTE) Using the SFP7 Cushion Capacity Chart on page 88, the maximum velocity for.3 lb [5.58 Kgf] on a SFP7 is approximately 37 in/sec [94 mm/sec]. Therefore, a hydraulic shock absorber must be used since our velocity is 44.8 in/sec [114 mm/sec]. To determine the correct hydraulic shock absorber, complete the calculations on page 91. Following are the results: EK = 31.9 in-lb [3.1 Nm] EW = 44.7 in-lb [5. Nm] ET = 7.7 in-lb [8.7 Nm] ETC = 138,4 in-lb/hr [15,599 Nm/hr] The SFP7 Impact Velocity vs. Kinetic Energy Graph on page 89 shows a -5 shock absorber is acceptable for this application. Step 4: Determine earing Capacity STTIC Orientation = Horizontal, Saddle Top or ottom Load =.3 lb [5.58 Kgf] Pitch = in-lb [. Nm] Yaw = in-lb [ Nm] Roll = in-lb [ Nm] No other external static forces are applied in this application. Compare values to max. allowable given the Maximum earing Capacity Chart on page 8. This chart shows that a Series SFP7 is acceptable. Formula from the Dynamic Combined Loading Table on page 88: a = 173 in/sec [43.94 M/sec ] (from Deceleration Velocity Factor Graph on page 88) F = P x F = x 1.948 in = 198.7 lb [F = 7 x 57 mm x.1 = 88 N = 89.73 Kgf] SFP4 has sufficient force to move the 117 lb [53.7 Kgf] load. Step 3: Determine Stopping Method V = 31.5/3 = 1.5 in/sec [V = 8/3 = 7 mm/sec] VI = 1.5 x 1.4 = 14.7 in/sec [VI = 7 x 1.4 = 374 mm/sec] WTM = 117 lb +.5 lb = 3.5 lb [WTM = 53.7 Kgf +.95 Kgf = 5. Kgf] Using the SFP4 Cushion Capacity Chart on page 88, the maximum velocity for 3.5 lb [5. Kgf] on a SFP4 is approximately 18.4 in/sec [47 mm/sec]. Therefore, the cushion can be used since our velocity is 14.7 in/sec [374 mm/sec]. Step 4: Determine earing Capacity STTIC Orientation = Horizontal, Saddle on Side Load = 3.5 lb [5. Kgf] Pitch = in-lb [ Nm] Yaw = 3.4 in-lb [. Nm] Roll = 115.1 in-lb [13. Nm] No other external static forces are applied in this application. Compare values to max. allowable given in the Maximum earing Capacity Chart on page 8. Series SFP4 is acceptable. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 91 8
SFP SLIDE Formula from the Dynamic Combined Loading Table on page 88: a = 9 in/sec [7.5 m/sec ] CL = 1.4(3.5)(.5 + (.483(1.99)) + (.159(9)(.97 + ) + (1.885 x (.97)) [CL = 1.4(5.)(.5 + (.538(5)) + (.581(7.4)(8.5 + )) + (.43 (8.5))] CL = 917.7 lb [41.4 Kgf] Maximum allowable is 985 lb [448 Kgf]. This unit has the bearing capacity for this load using cushions. 3) Propelling Force (Downward Motion): FD = (Piston rea x P) + WTM FD = (.887 in x 87 psi) +.3 lb = 13.47 lb [FD = (573 mm x bar x.1) + 117 N = 4.3 N] EW = FD x S Note: Stroke for shock absorber and effective stroke on the cushions are the same. EW = 13.47 lb x.58 in =.1 in-lb [EW = 4.3 N x.147 m =.78 Nm] Therefore a SFP4--D unit should be specified. Example 3 - Vertical 4) Calculate Total Energy ET = EK + EW ET = 9.1 +.1 = 9. in-lb [ET = 1.8 +.78 = 7.87 Nm] Step 1: Determine pplication Data Orientation = Vertical Load Weight = 4 lb [1.89 Kgf] Required Stroke = in [153 mm] Desired Travel Time =.5 sec Cycles per hour = 5 Pressure = 87 psi [ bar] Load Position (The following dimensions are represented in the vertical illustration on page 88.): b = in [ mm] c = 1.5 in [38.1 mm] j = 4 in [11. mm] d = 1.448 in [3.8 mm] e = c + d =.948 in [74.88 mm] Step : Determine Thrust Capacity F = P x F = 87 x.887 = 77.17 lb [F = x 573 x.1 = 343.8 N = 35. Kgf] SFP7 has sufficient force to move the 4 lb [1.89 Kgf] load. Step 3: Determine Stopping Method CENTER OF LOD (INCLUDING TRNSITION PLTE) 4. 1.5 CENTER OF SDDLE SURFCE SDDLE SURFCE Hydraulic shock absorbers must be used on the downward motion because 9. in-lb is greater than the maximum allowable for cushions ( in-lb). Looking at the current impact velocity and EK value, a - shock absorber is required. 5) Propelling Force (Upward Motion): FD = (Piston rea x P) - WTM FD = (.887 in x 87 psi) -.3 lb = 5.9 lb [FD = (573 mm x bar x.1) - 117 N =.8 N] EW = FV x S Note: Stroke for shock absorber and effective stroke on the cushions are the same. EW = 5.9 lb x.58 in = 9.5 in-lb [EW =.8 N x.147 m = 3.33 Nm] ) Calculate Total Energy ET = EK + EW ET = 9.1 + 9.5 = 39.11 in-lb [ET = 1.8 + 3.33 = 4.41 Nm] Hydraulic shock absorbers must be used on the upward motion because 39.11 in-lb is greater than the maximum allowable for cushions ( in-lb). Looking at the current impact velocity and EK value, a - shock absorber is required. Step 4: Determine earing Capacity V = /.5 = in/sec [V = 15.4/.5 = 35 mm/sec] VI = x 1.4 = 1.8 in/sec [VI = 35 x 1.4 = 47 mm/sec] WTM = 4 lb +.3 lb =.3 lb [WTM = 1.89 Kgf + 1.4 Kgf = 11.93 Kgf] In vertical applications, calculate the kinetic energy as described in the Shock bsorber Calculation on page 89 and compare to the maximum EK value on the chart. Cushion Calculation: 1) WTM =.3 lb [11.93 Kgf] VI = 1.8 in/sec [47 mm/sec] Orientation = Vertical Operating Pressure = 87 psi [ bar] ) Determine EK of Total Moving Weight WTM: EK =.5(.3)(1.8) = 9.1 in-lb 38.4 [EK =.5(11.93)(47/1) = 1.8 Nm] Orientation = Vertical Load =.3 lb [11.93 Kgf] Pitch = 3 in-lb [4.7 Nm] Yaw = 9 in-lb [1.85 Nm] Roll = in-lb [ Nm] No other external static forces are applied in this application. Series SFP7 is acceptable. Formula from the Dynamic Combined Loading Table from page 88: a = 43 in/s [.17 M/sec ] CL = 1.4(.3)(1.84(.948 + 4.) +.54(43) (.948 + 4.) [CL = 1.4(11.93)(.4474(74.88 + 11.) +.48(.17) (74.88 + 11.))] CL = 379.7 lb [17. Kgf] The result of 379.7 lb [17. Kgf] is less than the maximum allowable of 474 lb [15 Kgf]. Therefore a SFP7 x 175 - N unit should be specified. 9 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
sfm slide 7 4 mximum TRVEL in mm 7.8 18 133.8 34 SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL TOLERNCE REPETILITY VELOCITY LURICTION MINTENNCE ORE DImETER EFFECTIVE RE SE WEIGHT in mm in mm lb kg 1. 7.88 57 7.9 3.58 1.57 4 1.95 1. 9.8 SERIES SFm 3 psi min to 11 psi max [.5 bar min to 8 bar max] air 41 to 14 F [5 to C] +./-. in [+3./-. mm] ±.1 in [±.4 mm] of original position 4 to in/sec [.1 to 1.5 m/sec] Factory lubricated for life Field repairable DDER WEIGHT (per 5 mm) lb kg.37.17.71.3 TYPICL DYNmIC LOD lb N - 1-44 - 5 89-11 NOTE: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. moving SDDLE lb 3. 8. kg 1.3 3.3 mximum ERING CPCITY LOD PITCH moment YW moment ROLL moment lb N in-lb Nm in-lb Nm in-lb Nm 7 94 48 4 5. 4 5. 99 33.8 4 1971 377 1535 173.4 1535 173.4 911.9 DIRECTION Extend Retract lb/psi.887.887 FORCE TLE SFm57 N/bar 57.3 57.3 lb/psi 1.948 1.948 SFm54 N/bar 5.7 5.7 STTIC moment CPCITY HORIZONTL HORIZONTL SDDLE TOP OR OTTOm VERTICL SDDLE ON SIDE Mp (Pitch) = Load x b Mp = Load x e Mp = My (Yaw) = My = Load x j My = Load x b Mr (Roll) = Load x j Mr = Mr = Load x e NOTE: Values apply when stopping with cap mounted shock absorbers. CYLINDER FORCE CLCULTIONS Imperial F = P x d CONSTNT in mm 7 1.448 3.8 4 1.713 43.5 NOTE: e = c + d Metric F =.1 x P x F = Cylinder Force lbs N P = Operating Pressure psi bar = Effective rea in mm (Extend or Retract) HORIZONTL SDDLE ON TOP/OTTOm PITCH L - L + ROLL LOD (W) VERTICL HORIZONTL SDDLE ON SIDE LOD (W) j b c YW j b c b c YW ROLL L + PITCH L - PITCH L - L + ROLL YW j LOD (W) See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 93 8
SFM SLIDE SLIDE SELECTION The process of selecting the proper Series SFM Slide consists of six main steps: 1) Determine pplication Data ) Determine Thrust Capacity 3) Determine Cycle Time 4) Determine Shock bsorbers 5) Determine earing Capacity ) Determine Minimum Stroke 1 3 DETERMINE PPLICTION DT egin by determining the application data. Following are factors that are needed: Load Weight at Each Stopping Position = lb [Kgf] Required Number of Mid-Stop ctuators Required Number of djustable End Stops Required Number of Cap Mounted Shock bsorbers Desired Stroke etween Stopping Positions = in [mm] Desired Travel Time etween Stopping positions = sec Desired Dwell at Each Stopping Position = sec Operating Pressure (for Vertical Operation, see page 98) = psi [bar] Orientation (select the illustration from page 9 that most resembles your application): Horizontal, Saddle Top or ottom Horizontal, Saddle on Side Vertical (special control valving required) Load Position (center of gravity) b = in [mm] c = in [mm] j = in [mm] DETERMINE THRUST CPCITY Use the effective piston area (see Cylinder Force Calculations on table on page 93) to determine if the cylinder has sufficient thrust to move the total moving load. Maintain a minimum ratio of thrust to total moving load of to 1 for upward motion in vertical applications. DETERMINE CYCLE TIME Use the desired travel time between stopping positions and the desired dwell time at each stopping position to determine the cycle time (TC) for the application. Calculate the cycle time by summing all of the travel times with all of the dwell times. 4 5 DETERMINE SHOCK SORERS To determine the proper shock absorbers to be used with the slide, three parameters must be considered:. Damping constant required at each stopping position. Total energy absorbed by each shock absorber during application cycle C. Time between successive impacts on each shock absorber Complete the calculations in the Shock bsorber Sizing section on page 97 for each required stopping position within the slide system. Pay careful attention to variations in Total Moving Weight (WTM) that may occur between stopping positions as a result of loading or unloading objects on to or off of the slide at a prior stopping position. Include all intermediate stopping positions and end-of-travel positions. DETERMINE ERING CPCITY To verify that the slide has the bearing capacity for an acceptable life, the static and dynamic loads must be calculated. Following are the static loading formulas (orientation of the slide must be considered) to be compared with the maximum allowable ratings charted on page 93. e sure to include any additional forces applied to the slide that occur during the application of the slide. STTIC FORMULS Note that in the following static formulas, distance e = Center of Gravity Distance c + constant d and that the values of constants d depend on whether an end cap mounted shock absorber (-NTxx Option) or a stop actuator or adjustable end stop (-NPxx or NNxx Option) is used to support the load at a given stopping position. Note also that distance k depends on both the magnitude and direction of Center of Gravity Distance j. (See figure above Combined Dynamic Loading Formula Table for correct formula to calculate k on page 9.) Horizontal, Saddle on Top or ottom (Direct Load value is the same for both a positive or negative force) Direct Load = WTM Pitch Moment= W x b Yaw Moment = Roll Moment = W x j Horizontal, Saddle on Side (Direct Load value the same for lateral positive or negative force.) Direct Load = WTM Pitch Moment = Yaw Moment = W x b Roll Moment = W x e Vertical (Direct Load is not considered in this calculation since load (W) produces moments in all three axes.) Pitch Moment = W x e Yaw Moment = W x k Roll Moment = 94 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFM SLIDE DYNMIC FORMULS fter selecting the formula that best describes your application orientation and desired units of measure, calculate the combined loading using the Dynamic Combined Loading Formula Table on page 9. Perform the calculation for each required stopping position within the slide system. Pay careful attention to variations in Load (W) that may occur between stopping positions as a result of loading or unloading objects on to or off of the slide at a prior stopping position. Note that distance e = Center of Gravity Distance c + constant d and that the values of constants d and m depend on whether an end cap mounted shock absorber (-NTxx Option) or a saddle mounted shock absorber (-NMxx Option) is used to decelerate the load at a given stopping position. Note also that distance k depends on both the magnitude and direction of Center of Gravity Distance j and constant m. (See figure above Combined Dynamic Loading Formula Table for correct formula to calculate k.) Compare the combined loading value calculated for each stopping position with the maximum charted allowable (CL) on page 9. If all calculated values are less than or equal to the maximum allowable, the slide has sufficient bearing capability. 7 4 Note: Variable a is determined from the Deceleration Velocity Factor Charts on page 9 for both SFMx7 and SFMx4 shock absorbers. DETERMINE MINIMUM STROKE To verify that the slide has sufficient total stroke to accommodate the desired number of mid-stop actuators, adjustable end stops, and/or end cap mounted shocks, consult the Stroke dder Table below. Sum the stroke adders for all desired options to calculate the minimum required stoke. Ensure that the actual stroke ordered is equal to or longer than the minimum required stroke. Note: If ordering both a cap mounted shock absorber (-NTxx Option) and an adjustable end stop (-NNxx Option) for use on the same end of the slide, include only the stroke adder for the NTxx or NNxx Option (not both). Ensure that the actual stroke ordered is equal to or longer than the minimum required stroke. STROKE DDER TLE CP MOUNTED SHOCK SORERS DJUSTLE END STOPS EXTEND -NT* 5 5 RETRCT -NT* 5 5 OTH -NT 5 5 EXTEND -NN1x 5 5 RETRCT -NNx1 5 5 OTH -NN11 5 5 MID-STOP CTUTORS 7 4 1 -NPx1 5 5 -NPx 75 1 3 -NPx3 5 5 4 -NPx4 15 175 5 -NPx5 175 -NPx 5 5 7 -NPx7 5 3 8 -NPx8 3 35 9 -NPx9 35 375 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 95 8
SFM SLIDE HORIZONTL SDDLE ON TOP/OTTOm PITCH L - L + ROLL LOD (W) VERTICL HORIZONTL SDDLE ON SIDE LOD (W) j b c YW j b c b c YW ROLL L + PITCH L - e = c + d PITCH L + L - ROLL YW j LOD (W) 7 4 POSITION HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL DYNmIC COmINED LODING (CL) FORmUL FOR NTxx OPTIONS ImPERIL/mETRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC d CONSTNT 1.448 3.8 1.448 3.8 1.448 3.8 1.713 43.5 1.713 43.5 1.713 43.5 FORmUL CL = 1.4W(.5 + (1.84b) + (.54a(e + j)) + (1.5811j)) CL = 1.4W(.5 + (.4474b) + (.48a(e + j)) + (.8j)) CL = 1.4W(.5 + (1.84b) + (.54a(e + j)) + (1.5811e)) CL = 1.4W(.5 + (.4474b) + (.48a(e + j)) + (.8e)) CL = 1.4W(1.84(e + j) +.54a(e + j)) CL = 1.4W(.4474(e + j) + (.48a(e + j)) CL = 1.4W(.5 + (.483b) + (.159a(e + j)) + (1.885j)) CL = 1.4W(.5 + (.538b) + (.581a(e + j)) + (.43j)) CL = 1.4W(.5 + (.483b) + (.159a(e + j)) + (1.885e)) CL = 1.4W(.5 + (.538b) + (.581a(e + j)) + (.43e)) CL = 1.4W(.483(e + j) +.159a(e + j)) CL = 1.4W(.538(e + j) + (.581a(e + j)) mx CL 474 lb 15 Kgf 474 lb 15Kgf 474 lb 15 Kgf 985 lb 448 Kgf 985 lb 448 Kgf 985 lb 448 Kgf CENTERLINE OF SDDLE MOUNTING PTTERN 35 [88.9] a DECELERTION VELOCITY FCTOR LOD (w) j LOD (w) j Velocity Factor in/sec [M/sec ] 3 [7.] 5 [3.5] [5.8] 15 [38.1] 1 [5.4] 5 [.7] SHOCK SORERS k = j + m k = (j - m) 1 3 4 5 [54] [58] [7] [11] [7] [154] Impact Velocity in/sec [mm/sec] 7 4 DYNmIC COmINED LODING (CL) FORmUL FOR NPxx, Nmxx, & NNxx OPTIONS POSITION HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL HORIZONTL, SDDLE TOP/OTTOM HORIZONTL, SDDLE ON SIDE VERTICL ImPERIL/ metric IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC IMPERIL METRIC d CONSTNT.844 1.4.844 1.4.844 1.4 1.1 9.5 1.1 9.5 1.1 9.5 m CONSTNT 1.835 4. 1.835 4. 1.835 4..398.9.398.9.398.9 FORmUL CL = 1.4W(.5 + (1.84b) + (.54a(e + k)) + (1.5811k)) CL = 1.4W(.5 + (.4474b) + (.48a(e + k)) + (.8k)) CL = 1.4W(.5 + (1.84b) + (.54a(e + k)) + (1.5811(e +.4)) CL = 1.4W(.5 + (.4474b) + (.48a(e + k)) + (.8(e + 15.3)) CL = 1.4W(1.84(e + k) +.54a(e + k)) CL = 1.4W(.4474(e + k) + (.48a(e + k)) CL = 1.4W(.5 + (.483b) + (.159a(e + k)) + (1.885k)) CL = 1.4W(.5 + (.538b) + (.581a(e + k)) + (.43k)) CL = 1.4W(.5 + (.483b) + (.159a(e + k)) + (1.885(e +.553)) CL = 1.4W(.5 + (.538b) + (.581a(e + k)) + (.43(e + 14.)) CL = 1.4W(.483(e + k) + (.159a(e + k)) CL = 1.4W(.538(e + k) + (.581a(e + k)) mx CL 474 lb 15 Kgf 474 lb 15Kgf 474 lb 15 Kgf 985 lb 448 Kgf 985 lb 448 Kgf 985 lb 448 Kgf 9 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFM SLIDE SHOCK SORER SPECIFICTIONS CHRT 7 4 PRT NO. 39---xx 39-3--xx STROKE in m.58.147.74.188 THRED TYPE M14x1.5 Mx1.5 TOTL ENERGY PER CYCLE (ET) in-lb Nm 18.3 5 8. TOTL ENERGY PER HOUR (ETC) in-lb Nm 39 34 4 45194 mx PROPELLING FORCE (FG) lb N 89 4 1779 RECOVER TImE (TR) sec.33.33 SHOCK SORER SIZING CLCULTION: Follow the next six steps to size shock absorbers. Step 1: Identify the following parameters. These must be known for all energy absorption calculations. Variations or additional information may be required in some cases for each stopping position.. The total moving weight (WTM) to be stopped.. The slide velocity at impact with the shock absorber (VI). C. Number of cycles per hour. D. Orientation of the application s motion (i.e. horizontal or vertical application). E. Operating Pressure Step : Calculate the kinetic energy of the total moving weight. EK (in-lb) =.5 x WTM x VI EK (Nm) =.5 WTM (N) x VI 38 9.8 or Note: WTM in kg mass may be substituted for WTM EK (Nm) =.5 x WTM (Kgm) x VI 9.8 Step 3: Calculate the propelling force (FD). Horizontal application: FD = Effective Piston rea x P Vertical application: FD = (Effective Piston rea x P) ± WTM + indicates working with gravity/- indicates working against gravity Note: When using mm and bar units, it will be necessary to multiply the Effective Piston rea x P by a factor of.1 to obtain the correct unit of measure. Use Shock bsorber Specifications Chart to verify that the selected unit has an FG capacity greater than the value just calculated. If not, select a larger shock absorber or slide. SYMOLS DEFINITIONS C = Number of cycles per hour D = Cylinder bore diameter inch [mm] EK = Kinetic Energy in-lb [Nm] ET = Total energy per cycle, EK + EW in-lb [Nm] ETC = Total energy per hour in-lb/hr [Nm/hr] EW = Work or drive energy in-lb [Nm] FD = Propelling force lb [N] FG = Max. Propelling force lb [N] P = Operating pressure psi [bar] S = Stroke of shock absorber inch [m] TR = Shock recovery time sec V = verage velocity in/sec [m/sec] VI = Impact velocity in/sec [m/sec] WTM = Total moving weight lb [N or kg] ImPCT VELOCITY (VI) (in/sec) [mm/sec] SFm57 SHOCK SORERS 8 [3] 7 [1778] -5 [159] 5 [7] 4 [11] - 3 [7] - [58] 1 [54] -3 Consult PHD 4 8 1 14 1 18 [.] [4.5] [.78] [9.4] [11.3] [13.5] [14.9] [18.8] [.34] [.] TOTL KINETIC ENERGY (ET) in-lb [N-m] Calculate the work energy input (EW = FD x S) using the travel of the shock absorber selected. Step 4: Calculate the total energy. ET = EK + EW Use the Shock bsorber Specifications Chart to verify that the selected unit has an ET capacity greater that the value just calculated. If not, select a larger shock absorber or slide. Step 5: Calculate the total energy for each stopping position that must be absorbed per hour per shock (ETC). ETC = ET x C Use the Shock bsorber Specifications Chart to verify that the selected unit has an ETC capacity greater than the value calculated. If not, select a larger shock absorber or slide. Step : Determine the damping constant for the selected shock absorber. Using the appropriate Shock bsorber Performance Graph, locate the intersection point for impact velocity (VI) and total energy (ET). The area that the point falls in is the correct damping constant for the application. ImPCT VELOCITY (VI) (in/sec) [mm/sec] 8 [3] 7 [1778] [159] 5 [7] 4 [11] 3 [7] [58] 1 [54] SFm54 SHOCK SORERS - -3-4 Consult PHD 5 5 75 1 5 15 175 5 5 75 3 [.83] [5.5] [8.48] [11.3] [14.13] [1.97] [19.78] [.] [5.43] [8.5] [31.8] [33.9] TOTL KINETIC ENERGY (ET) in-lb [N-m] NOTE: Contact PHD for applications outside of above energy rating and shock specifications. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 97 8
SFM SLIDE VLVE PLUMING & SLIDE CONTROL INFORMTION Warning: Series SFM Slides must be controlled by CENTER PRESSURIZED (pressure center) or equivalent type valves. Failure to maintain pressure on both ports of slide when releasing stopped saddle assembly can cause saddle assembly to rapidly accelerate upon release of stop, causing possible physical injury to adjacent personnel and/or damage to equipment. Series SFM Slides use back-pressure on exhaust side of slide piston to regulate saddle speed. Presence of adequate back pressure is critical when the saddle stopped by a stop actuator is released. If air opposite the pressurized side of the slide piston is exhausted to ambient pressure before saddle is released, saddle can rapidly accelerate to high velocity before sufficient back-pressure can build to regulate saddle speed. Configure and operate SFM / Mid-Stop ctuator system in accordance with figure 1 or 1. PLUMING SFM / MID-STOP CTUTOR SYSTEM (Figures 1 & 1) Warning: Center pressurized or equivalent type valving MUST be used to control slide for safe operation of the SFM system. 1) Plumb system in accordance with figure 1 with slide operated in vertical orientation. Plumb system in accordance with figure 1 with slide operated in horizontal orientation. ) lways maintain pressure on both ports of slide by de-energizing both control valve solenoids before retracting pawl to release stopped saddle assembly. 3) For vertical operation, set pressures of regulators attached to slide so that cylinder thrust resulting from difference in pressure between higher-pressure regulator (PH) and lower-pressure regulator (PL) will approximately balance weight of slide saddle and load. PNEUMTIC DIGRM - VERTICL OPERTION Figure 1 Use the following formula to calculate lower (PL) or higher (PH) regulator pressure. WTM = saddle + load weight ( ) ( ) PL = PH WTM PH = WTM + PL Note: See table below for saddle weights and thrust constants. Example Slide: Size 7 Thrust Constant:.887 lb/psi [57.3 N/bar] Saddle Weight: 3. lb [13.34 N] Load Weight: 1. lb [44.48 N] Higher Pressure: 8 psi [5.5 bar] To calculate required Lower Pressure to balance weight of saddle and payload: Lower Pressure = Higher Pressure - (Saddle + Load Weight) / Thrust Constant Lower Pressure = 8 - (3. +1.) /.887 = 5 psi [Lower Pressure = 5.5 - (13.34 + 44.48) / 57.3 = 4.5 bar] 7 4 THRUST CONSTNT lb/psi N/bar.887 57.3 1.948 5.7 SDDLE WEIGHT lb N 3. 13.34 8. 35.39 ENGGE STOP (EXTEND PWL) GRVITY DISENGGE STOP (RETRCT PWL) PNEUMTIC DIGRM - HORIZONTL OPERTION Figure 1 IN EX IN EX IN EX DISENGGE STOP (RETRCT PWL) ENGGE STOP (EXTEND PWL) IN EX IN EX REGULTOR SET TO HIGHER PRESSURE REGULTOR SET TO LOWER PRESSURE OPTIONL PRESSURE REGULTOR LWYS CENTER VLVE EFORE RETRCTING PWL 98 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFM SLIDE Example 1 Horizontal, Saddle on Top, with one Mid-Stop ctuator and two Cap Mounted Shock bsorbers In the following example, we consider a SFM57 slide system having a single mid-stop actuator (-NPx1 Option) located at the center of the slide, two saddle mounted shock absorbers (-NMxx Option) two end cap mounted shock absorbers (-NTxx Option), and no adjustable end stops. The complete CENTER OF LOD INCLUDING TRNSITION PLTE EXTEND DIRECTION operating cycle consists of three saddle movements. The cycle begins with the saddle at the retract direction end-of-travel position. The saddle then travels in the extend direction until it is stopped by the mid-stop actuator. fter a short dwell, the saddle travels to the extend direction end-of-travel position and dwells. Finally, the saddle returns (bypassing the mid-stop actuator) to the retract direction end-of-travel position and dwells before the cycle is resumed. Step 1: Determine pplication Data for Each Stopping Position Orientation = Horizontal, Saddle on Top/ottom Pressure = 87 psi [ bar] Number of Mid-Stops = 1 Number of djustable End Stops = Number of Cap Mounted Shock bsorbers = Travel from Retract End to Mid-Stop = in [35 mm] Desired Travel Time =.38 sec Desired Dwell =.19 sec Travel from Mid-Stop to Extend End = in [35 mm] Desired Travel Time =.38 sec Desired Dwell =.15 sec Travel from Extend End to Retract End = 4 in [1 mm] Desired Travel Time =.75 sec Desired Dwell =.15 sec Load Weight (W) = 1 lb [4.5 Kgf] b = in [5.8 mm] c = in [5.8 mm] j = in [ mm] Note: The dimensions for Load Position are represented in the Horizontal, Saddle on Top/ottom Illustration on page 9. In this particular application, d, e, k, and m, depend on the stopping position. For convenience, we define 3 stopping positions as follows: Position 1 Retract End Cap, Stopping in Retract Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = + 1.488 = 3.448 in [e = 5.8 + 3.8 = 87. mm] k = j + m = in [ mm] Position Stop ctuator, Stopping in Extend Direction with mid-stop Saddle Mounted Shock bsorber d =.844 in [1.4 mm] (-NPxx Option) m = 1.835 in [4. mm] e = c + d = +.844 =.844 in [e = 5.8 + 1.4 = 7. mm] k = j + m = + 1.835 = 1.835 in [ k = + 4. = 4. mm].. RETRCT DIRECTION SDDLE SURFCE CENTER OF SDDLE SURFCE Position 3 Extend End Cap, Stopping in Extend Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = + 1.488 = 3.448 in [e = 5.8 + 3.8 = 87. mm] k = j + m = in [ mm] Step : Determine Thrust Capacity F = P x [F =.1 x P x ] F = 87 x.887 = 77.17 lb [F = x 573 x.1 = 343.8 N = 35. Kgf] Note: When using mm and bar units, it is necessary to multiply the product of the Pressure (P) x Effective Piston rea () by a factor of.1 to obtain the correct unit of measure. SFM57 has sufficient thrust to move the 1 lb [4.5 Kgf] load. Step 3: Determine Cycle Time Desired travel times are: Desired dwells are: Position 1 to =.38 sec Position 1 =.15 sec Position to 3 =.38 sec Position =.19 sec Position 3 to 1 =.75 sec Position 3 =.15 sec Tc = Sum of Travel Times + Sum of Dwell Times = (.38 +.38 +.75) + (.15 +.19 +.15) = sec Step 4: Determine Shock bsorbers The example slide system requires four hydraulic shock absorbers two mounted in the end caps (-NTxx Option) and two mounted in the saddle (-NMxx Option). To determine the correct damping constant for each shock, we complete the calculations on page 97 for each stopping position. For all stopping positions: WTM = 1 + 3. = 13. lb [WTM = 4.54 + 1.3 = 5.9 Kgf] Position 1 Retract End, Stopping in Retract Direction with Cap Mounted Shock bsorber V = 4 /.75 = 3 in/sec [V = 1/.75 = 814 mm /sec] VI = 3 x 1.4 = 44.8 in/sec [VI = 814 x 1.4 = 114 mm/sec] EK = 33.8 in-lb [3.8 Nm] EW = 44.8 in-lb [5. Nm] ET = 78. in-lb [8.88 Nm] ETC = 14148 in-lb/hr [15977 Nm/hr] Damping Constant = -5 Position Stop ctuator, Stopping in Extend Direction with Saddle Mounted Shock bosrber V = /.38 = 3 in/sec [V = 35/.38 = 83 mm /sec] VI = 3 x 1.4 = 44.8 in/sec [VI = 83 x 1.4 = 14 mm/sec] EK = 33.8 in-lb [3.8 Nm] EW = 44.8 in-lb [5. Nm] ET = 78. in-lb [8.88 Nm] ETC = 14148 in-lb/hr [15977 Nm/hr] Damping Constant = -5 Position 3 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber V = /.38 = 3 in/sec [V = 35/.38 = 83 mm /sec] VI = 3 x 1.4 = 44.8 in/sec [VI = 83 x 1.4 = 14 mm/sec] EK = 33.8 in-lb [3.8 Nm] EW = 44.8 in-lb [5. Nm] ET = 78. in-lb [8.88 Nm] ETC = 14148 in-lb/hr [15977 Nm/hr] Damping Constant = -5 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 99 8
SFM SLIDE EXTEND DIRECTION Since an adjustable end stop is not used to stop the saddle at the end-of-travel position in the extend direction of travel, the damping constant, and ETC value calculated for Positions and 3 are considered independently when assessing shock absorbers in the extend direction of travel. The ETC for each position is less than the ETC rating of the selected shock absorber. The travel time between successive stopping positions in the extend direction of travel is.38 seconds between Positions 1 and. This time is greater than the Recovery Time (TR) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. RETRCT DIRECTION Only Position 1 involves stopping in the retract direction of travel. The ETC for Position 1 is less than the ETC rating of the selected shock absorber. The travel time between successive stopping positions in the retract direction of travel is.75 seconds between Positions 3 and 1, which is greater than the Recovery Time (TR) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. Position 1 Retract End Cap, Stopping in Retract Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = + 1.488 = 3.448 in [e = 5.8 + 3.8 = 87. mm] k = j + m = in [ mm] CL = 1.4(13.)(.5 + 1.84() + (.54)(173)(3.448+) + (1.5811)()) = 9.4 lb [CL = 1.4(5.9)(.5 + (.4474)(5.8) + (.48)(43.94)(87.+) + (.8)()) = 134.9 Kgf] Position Stop ctuator, Stopping in Extend Direction with Saddle Mounted Shock bsorber d =.844 in [1.4 mm] (-NPxx Option) m = 1.835 in [4. mm] e = c + d = +.844 =.844 in [e = 5.8 + 1.4 = 7. mm] k = j + m = + 1.835 = 1.835 in [ k = + 4. = 4. mm] CL = 1.4(13.)(.5 + 1.84() + (.54)(173)(.844+1.835) + (1.5811)(1.835)) = 434.3 lb [CL = 1.4(5.9)(.5 + (.4474)(5.8) + (.48)(43.94)(7.+4.) + (.8)(4.)) = 197. Kgf] The calculations performed this far have determined the two end cap mounted shock absorbers (-NT55 Option where 5 = last digit of required damping constant) and saddle mounted shock absorber in the extend direction of travel (-NM5x Option where 5 = last digit of required damping constant). The saddle mounted saddle mounted shock absorber in the retract direction of travel is not used directly at any stopping position so it is selected to have a damping constant of 5 to provide a ready replacement for any of the other three shock absorbers. The final shock absorber ordering option data for the example slide is NM55 NT55. Step 5: Determine earing Capacity The following values are common to all three stopping positions: b = in [5.8 mm] c = in [5.8 mm] j = in [ mm] WTM = 13. lb [5.9 Kgf] STTIC Direct Load = WTM = 13. lb [5.9 Kgf] W = 1 lb [4.5 Kgf] Orientation = Horizontal, Saddle on Top or ottom Pitch Moment = W x b = 1 x = in-lb [. Nm] Yaw Moment = Roll Moment = W x j = W x = No other external forces or moments are applied the example application. comparison of the calculated static direct load and moments with the corresponding values listed in the Maximum earing Capacity chart indicates that a Series SFM57 slide is acceptable for the application. DYNMIC To determine the bearing capacity under conditions of dynamic loading, we examine the loading at the same three stopping positions previously defined. From the Deceleration Velocity Factor graph on page 9, with VI = 44.8 in/sec [114 mm/sec], a = 173 in/sec [43.94 m/sec ] Position 3 Extend End Cap, Stopping in Extend Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = + 1.488 = 3.448 in [e = 5.8 + 3.8 = 87. mm] k = j + m = in [ mm] WTM = 1 + 3. = 13. lb [WTM = 4.54 + 1.3 = 5.9 Kgf] a = 173 in/sec [43.94 m/sec] CL = 1.4(13.)(.5 + 1.84() + (.54)(173)(3.448+) + (1.5811)()) = 9.4 lb [CL = 1.4(5.9)(.5 + (.4474)(5.8) + (.48)(43.94)(87.+) + (.8)()) = 134.9 Kgf] comparison of the CL values calculated for each of the positions with the maximum CL rating of 474 lb [15 Kgf] for the SFM57 confirms that a size 7 provides the required bearing capacity. Step : Determine Minimum Stroke To verify that the slide has sufficient total stroke to accommodate the desired mid-stop actuator and the end cap mounted shocks, use the Stroke dder Table on page 95. Sum the stroke adders for the desired options to calculate the minimum required stoke. With two cap mounted shock absorbers and one mid-stop actuator selected for the slide, the required minimum total stroke is: Minimum Stroke = 5 + 5 = 1 mm With the desired travel of 4 in [1 mm] between Positions 1 and 3, we select a total stroke of 5 mm, which is longer than the required 1 mm stroke. 1 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFM SLIDE Example Vertical, with one Mid-Stop ctuator, one djustable End-Stop, and one End Mounted Shock bsorber Next, we consider a SFM57 slide system orientated vertically with the retract end located at the top. cap mounted shock absorber is installed at the extend end-of-travel position (-NTx Option). The midstop actuator (-NPx1 Option) is located at the center of the slide and the adjustable end stop is located at the retract end-of-travel position (-NN1 Option). The complete operating cycle consists of four saddle movements. The cycle begins with the saddle at the retract direction end-of-travel position with the saddle stopped by an adjustable end stop. The saddle then travels downward in the extend direction, bypassing the mid-stop actuator, until it is stopped by the cap mounted shock absorber at the extend end-of-travel position. The saddle travels upwards in the retract direction until it is stopped by the mid-stop actuator. fter a short dwell, the saddle reverses direction and travels in the extend direction until it is stopped by the cap mounted shock absorber at the extend end-of-travel position. Finally, the saddle returns to the retract direction end-of-travel position where it bypasses the midstop actuator to be stopped by the adjustable end stop before the cycle is resumed. Step 1: Determine pplication Data for Each Stopping Position Orientation = Vertical, Retract Direction End at Top Load Weight = 4 lb [1.89 Kgf] Number of Mid-Stop ctuators = 1 Number of djustable End Stops = 1 Number of Cap Mounted Shock bsorbers = 1 Travel from Retract End Stop to Extend End = in [15.4 mm] Desired Travel Time =.5 sec Desired Dwell at Extend End=.15 sec CENTER OF LOD (INCLUDING TRNSITION PLTE) Travel from Extend End to Mid-Stop = 3 in [7. mm] Desired Travel Time =.5 sec Desired Dwell at Mid-Stop =.15 sec Travel from Mid-Stop to Extend End = 3 in [7. mm] Desired Travel Time =.5 sec Desired Dwell at Extend End =.15 sec Travel from Extend End to Retract End Stop = in [15.4 mm] Desired Travel Time =.5 sec Desired Dwell at Retract End Stop =.15 sec b = in [ mm] c =.1.5 in [38.1 mm] j = 4 in [11. mm] to left of Saddle centerline Note: the dimensions for Load Position are represented in the Vertical Illustration on page 9. Since this application requires Vertical Orientation, two 3/ valves fed with independently adjustable pressure regulators must be used to control the slide to compensate for the weight force of the saddle and load. The pressures of the regulators are set so that the propelling force resulting from difference in pressure between the higher-pressure regulator (PH) and the lower-pressure regulator (PL) will balance the total moving weight (WTM) of the slide saddle and load. 4. 1.5 CENTER OF SDDLE SURFCE SDDLE SURFCE We desire to operate the slide with a nominal pressure of 87 psi [ bar]. We choose this pressure to be the value maintained by the higher pressure regulator (PH). See Thrust Constant per table on page 98. ( ) ( ) PL = PH WTM = 87 7 = 5 psi.88 ( ) ( ) PL = PH WTM =.5 x 9.8 = 3.9 bar 57.3 Note: It is necessary to convert Kgf to N by multiplying the Total Moving Weight (WTM) by a factor of 9.8 to obtain pressure in bar. With the orientation of the slide chosen with the retract end at the top, PH will act when the saddle travels the retract direction and PL will act when the slide travels in the extend direction. For convenience, we define four stopping positions as follows: Note: The dimensions for Load Position are represented in the Vertical Illustration on page 9. Position 1 Retract End Stop, Stopping in Retract Direction with Saddle Mounted Shock bsorber P = PH = 87 psi [ bar] d =.844 in [1.4 mm] (-NNxx Option) e = c + d = 1.5 +.844 =.344 in [e = 38.1 + 1.4 = 59.5 mm] Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] d = 1.448 in [3.8 mm] (-NTxx Option) e = c + d = 1.5 + 1.448 =.948 in [e = 38.1 + 3.8 = 74.9 mm] Position 3 Mid-Stop ctuator, Stopping in Retract Direction with Saddle Mounted Shock bsorber P = PH = 87 psi [ bar] d =.844 in [1.4 mm] (-NPxx Option) e = c + d = 1.5 +.844 =.344 in [e = 38.1 + 1.4 = 59.5 mm] Position 4 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] d = 1.448 in [3.8 mm] (-NTxx Option) e = c + d = 1.5 + 1.448 =.948 in [e = 38.1 + 3.8 = 74.9 mm] Step : Determine Thrust Capacity Upward Motion: F = PH x F = 87 x.88 = 7. lb [F = x 573 x.1 = 344 N = 35.8 Kgf] Downward Motion: F = PL x F = 5 x.88 = 49.3 lb [F = 3.9 x 573 x.1 = 3 N =.8 Kgf] Note: When using mm and bar units, it is necessary to multiply the product of the Pressure (P) x Effective Piston rea () by a factor of.1 to obtain the correct unit of measure. WTM = ttached Load + Moving Saddle Weight. For the SFM57, the saddle moving weight is 3 lb [1.3 Kgf]. (See Saddle Weight Table on page 98) WTM = 4 + 3 = 7 lb [WTM = 1.89 + 1.3 =.5 Kgf = N] SFM57 has sufficient thrust to move the 4 lb [1.89 Kgf] load. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 11 8
SFM SLIDE Step 3: Determine Cycle Time Desired travel times are: Position 1 to =.5 sec Position to 3 =.5 sec Position 3 to 4 =.5 sec Position 4 to 1 =.5 sec Desired dwell times are: Position 1 =.15 sec Position =.15 sec Position 3 =.15 sec Position 4 =.15 sec TC = Sum of Travel Times + Sum of Dwell Times = (.5 +.5 +.5 +.5) + (.15 +.15 +.15 +.15) =.1 sec Step 4: Determine Shock bsorbers The example slide system requires three hydraulic shock absorbers two mounted in the saddle (-NMxx Option) and one mounted in the extend end cap. To determine the correct damping constant for each shock, we complete the calculations on page 97 for each stopping position. For all stopping positions: WTM = 7 lb [.5 Kgf] Position 4 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] V = 3/.5 = in/sec [V = 7./.5 = 34 mm /sec] VI = x 1.4 = 1.8 in/sec [VI = 34 x 1.4 = 47 mm/sec] FD = 5 x.88 + 7 = 7.3 lb [FD = 3.9 x 573 x.1 + = 343 N] EK = 9.9 in-lb [1. Nm] EW = 44.8 in-lb [5. Nm] ET = 54. in-lb [.17 Nm] ETC = 935 in-lb/hr [1581 Nm/hr] Damping Constant = - RETRCT DIRECTION The extend direction saddle mounted shock absorber is impacted twice each complete operating cycle; when the saddle moves from Position 4 to 1 and moves from Position to 3. The total energy that the shock absorber must dissipate during each complete operating cycle is the sum of the energies absorbed at Positions 1 and 3: Note that the propelling force (FD) is calculated based on the direction of saddle motion. Position 1 Retract End Stop, Stopping in Retract Direction with Saddle Mounted Shock bsorber P = PH = 87 psi [ bar] V = /.5 = in/sec [V = 15.4/.5 = 34 mm /sec] VI = x 1.4 = 1.8 in/sec [VI = 34 x 1.4 = 47 mm/sec] FD = 87 x.88 7 = 49. lb [FD = x 573 x.1 = 4 N] EK = 9.9 in-lb [1. Nm] EW = 8.8 in-lb [3. Nm] ET = 38.7 in-lb [4.37 Nm] ETC = 331 in-lb/hr [7153 Nm/hr] Damping Constant = - Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] V = /.5 = in/sec [V = 7./.5 = 34 mm /sec] VI = x 1.4 = 1.8 in/sec [VI = 34 x 1.4 = 47 mm/sec] FD = 5 x.88 + 7 = 7.3 lb [FD = 3.9 x 573 x.1 + = 343 N] EK = 9.9 in-lb [1. Nm] EW = 44.8 in-lb [5. Nm] ET = 54. in-lb [.17 Nm] ETC = 935 in-lb/hr [1581 Nm/hr] Damping Constant = - Position 3 Mid-Stop ctuator, Stopping in Retract Direction with Saddle Mounted Shock bsorber P = PH = 87 psi [ bar] V = 3/.5 = in/sec [V = 15.4/.5 = 34 mm /sec] VI = x 1.4 = 1.8 in/sec [VI = 34 x 1.4 = 47 mm/sec] FD = 87 x.88 7 = 49. lb [FD = x 573 x.1 = 4 N] EK = 9.9 in-lb [1. Nm] EW = 8.8 in-lb [3. Nm] ET = 38.7 in-lb [4.37 Nm] ETC = 331 in-lb/hr [7153 Nm/hr] Damping Constant = - ETC = 935 + 935 = 1873 in-lb/hr [ETC = 1581 + 1581 = 11 Nm/hr] The required energy is less than the rated Total Energy Per Hour (ETC) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. Reviewing the travel times previously listed, the shortest amount of time between successive impacts of the shock absorber is found by adding the appropriate travel and dwell times: Time = (Travel 3 to 4) + (Dwell 4) + (Travel 4 to 1) =.5 +.15 +.5 =.9 sec. This time is greater than the Recovery Time (TR) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. EXTEND DIRECTION The extract end cap mounted shock absorber is impacted twice each complete operating cycle; when the saddle moves from Position 1 to and moves from Position 3 to 4. The total energy that the shock absorber must dissipate during each complete operating cycle is the sum of the energies absorbed at Positions and 4: ETC = 331 + 331 = 13 in-lb/hr [ETC = 7153 + 7153 = 143 Nm/hr] The required energy is less than the rated Total Energy Per Hour (ETC) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. Reviewing the travel times previously listed, the shortest amount of time between successive impacts of the shock absorber is found by adding the appropriate travel and dwell times: Time = (Travel to 3) + (Dwell 3) + (Travel 3 to 4) =.5 +.15 +.5 =.5 sec This time is greater than the Recovery Time (TR) listed for the Size 7 shock absorbers in the Shock bsorber Specifications Chart on page 97. The final shock absorber ordering option data for the example slide is NM NT. 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SFM SLIDE Step 5: Determine earing Capacity To determine the bearing capacity under conditions of static and dynamic loading, we examine the loading at the same four stopping positions previously defined. The following values are common to all four stopping positions: b = in [ mm] c = 1.5 in [38.1 mm] j = 4 in [11. mm] to left of Saddle centerline W = 4 lb [1.89 Kgf] Direct Load = WTM = 7 lb [.5 Kgf] STTIC Orientation = Vertical Pitch Moment = W x e Yaw Moment = W x k Roll Moment = DYNMIC In the calculations below, the value for variable a is taken from the from the Deceleration Velocity Factor graph on page 9. The following values are common to all four stopping positions: V = in/sec [34 mm /sec] VI = 1.8 in/sec [47 mm/sec] With VI = 1.8 in/sec, a = 43 in/sec [.17 m/sec ] WTM = 7 lb [.5 Kgf] Position 1 Retract End Stop, Stopping in Retract Direction with Saddle Mounted Shock bsorber e =.344 in [59.5 mm] k = 5.835 in [148. mm] CL = 1.4(7)(.5 + (1.84)(.344+5.835) + (.54)(43)(.344+ 5.835)) = 458.3 lb [CL = 1.4(.5)(.5 + (.4474)(59.5+148.) + (.48)(.17) (59.5+148.) = 7.9 Kgf] Position 1 Retract End Stop, Stopping in Retract Direction with Saddle Mounted Shock bsorber d =.844 in [1.4 mm] (-NNxx Option) e = c + d = 1.5 +.844 =.344 in [e = 38.1 + 1.4 = 59.5 mm] m = 1.835 in [4. mm] k = j + m = 4 + 1.835 = 5.835 in [k = 11. + 4. = 148. mm] Pitch Moment = 4 x.344 = 5.3 in-lb [. Nm] Yaw Moment = 4 x 5.835 = 14 in-lb [15.8 Nm] Roll Moment = in-lb [ Nm] Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) e = c + d = 1.5 + 1.488 =.948 in [e = 38.1 + 3.9= 74.9 mm] m = in [ mm] k = j + m = 4 + = 4 in [k = 11. + = 11. mm] Pitch Moment = 4 x.948 = 7.8 in-lb [8 Nm] Yaw Moment = 4 x 4 = 9 in-lb [1.85 Nm] Roll Moment = in-lb [ Nm] Position 3 Mid-Stop ctuator, Stopping in Retract Direction with Saddle Mounted Shock bsorber d =.844 in [1.4 mm] (-NNxx Option) e = c + d = 1.5 +.844 =.344 in [e = 38.1 + 1.4 = 59.5 mm] m = 1.835 in [4. mm] k = j + m = 4 + 1.835 = 5.835 in [k = 11. + 4. = 148. mm] Pitch Moment = 4 x.344 = 5.3 in-lb [. Nm] Yaw Moment = 4 x 5.835 = 14 in-lb [15.8 Nm] Roll Moment = in-lb [ Nm] Position 4 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber d = 1.488 in [3.8 mm] (-NTxx Option) e = c + d = 1.5 + 1.488 =.948 in [e = 38.1 + 3.9= 74.9 mm] m = in [ mm] k = j + m = 4 + = 4 in [k = 11. + = 11. mm] Pitch Moment = 4 x.948 = 7.8 in-lb [8 Nm] Yaw Moment = 4 x 4 = 9 in-lb [1.85 Nm] Roll Moment = in-lb [ Nm] No other external forces or moments are applied the example application. comparison of the calculated static direct load and moments with the corresponding values listed in the Maximum earing Capacity chart indicates that a Series SFM57 slide is acceptable for the application. Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber e =.948 in [74.9 mm] k = 4 in [11. mm] CL = 1.4(7)(.5 + (1.84)(.948+4) + (.54)(43)(.948+4)) = 389.3 lb [CL = 1.4(.5)(.5 + (.4474)(59.5+148.) + (.48)(.17) (59.5+148.) = 17. Kgf] Position 3 Mid-Stop ctuator, Stopping in Retract Direction with Saddle Mounted Shock bsorber e =.344 in [59.5 mm] k = 5.835 in [148. mm] CL = 1.4(7)(.5 + (1.84)(.344+5.835) + (.54)(43)(.344+ 5.835)) = 458.3 lb [CL = 1.4(.5)(.5 + (.4474)(59.5+148.) + (.48)(.17) (59.5+148.) = 7.9 Kgf] Position 4 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber e =.948 in [74.9 mm] k = 4 in [11. mm] CL = 1.4(7)(.5 + (1.84)(.948+4) + (.54)(43)(.948+4)) = 389.3 lb [CL = 1.4(.5)(.5 + (.4474)(59.5+148.) + (.48)(.17) (59.5+148.) = 17. Kgf] comparison of the CL values calculated for each of the positions with the maximum CL rating of 474 lb [15 Kgf] for the SFM57 confirms that the slide provides the required bearing capacity. Step : Determine Minimum Stroke To verify that the slide has sufficient total stroke to accommodate the mid-stop actuator, adjustable end stop, and end cap mounted shock, use the Stroke dder Table on page 95. Sum the stroke adders for the desired options to calculate the minimum required stoke. With one adjustable end stop, one mid-stop actuator, and one cap mounted shock absorber selected for the slide, the required minimum total stroke is: Minimum Stroke = 5 + 5 + 5 = 1 mm With the desired travel of in [15.4 mm] between Positions 1 and, a slide with a total stroke of 175 mm is selected, which is longer than the required 1 mm stroke. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 13 8
SM slide SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL REPETILITY VELOCITY LURICTION MINTENNCE SERIES Sm psi min to 15 psi max [1.4 bar min to 1 bar max] air - to + 18 F [-9 to +8 C] Minimum travel +.98/-. in [+.5 mm/- mm] ±.1 in [±.5 mm] in/sec [1.5 m/sec] max., zero load at 87 psi [ bar] Factory lubricated for life Field repairable 8 1 5 3 TRVEL in mm 1 5 51 3 7 1 5-1/ 3.5 4 1-1/ 38 3 7 5 7 51 4 15 3 7 15 ROD DImETER in mm.157.3.315.47.3 4 8 1 ORE DImETER EFFECTIVE RE in mm in mm.315.47.3.984 1. 8 1 5 3..7.47 1.17 1.87 SE WEIGHT lb kg.55.5.5.3.75.34 1.5.57 1.5.71 1.8.84..91.5 1.14 3. 1.3 4..9 5.9.8 7. 3.18 8.8 3.97 11.7 5.31 TYPICL DYNmIC LOD lb N NOTES: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. 75 17 3 75 mx STTIC LOD lb N 5 111 17 7 13 58 7 43 191 33 147 144 41 1 445 71 31 38 19 115 198 881 758 4 188 - - 8 8-15 15-35 35-7 - 9 9-35 35-7 7-155 155-311 CYLINDER FORCE CLCULTIONS Imperial F = P x Metric F =.1 x P x F = Cylinder Force lbs N P = Operating Pressure psi bar = Effective rea in mm (Extend or Retract) MOUNTING THE UNIT IMPORTNT! Units must be mounted and used as a gantry/ base slide. Units cannot be mounted and used as a cantilever slide. Consult PHD or your local distributor for a cantilever unit. 8 1 5 3 TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 OPTION WEIGHT DDERS -R OR -E -NEx OR -NRx lb kg lb kg..3..3.3.1.5...5.14..9.13.34.15..9.35.1 mounted CORRECTLY mounted INCORRECTLY USED S GNTRY/SE SLIDE NOT TO E USED S CNTILEVER SLIDE. 14 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SM SLIDE SLIDE SELECTION There are three major factors to consider when selecting a slide: thrust capacity, allowable static and dynamic moment capacity, and table deflection (as either pitch, yaw, or roll). 1 Thrust Capacity Use the effective piston area (see thrust specifications) of the slide to determine if thrust is sufficient for the applied load. In horizontal applications, a slide with polymer bushings requires a higher breakaway pressure than a slide with linear ball bushings. pproximate breakaway pressure for polymer bushings due to additional load is calculated as follows: psi or bar = L x.15 /, where L = Load on saddle lb [N] = (SMHx8) =.15 [9.7] = (SMHx) =.37 [4] = (SMHx1) =.59 [38] = (SMHx5) = 1.4 [7] = (SMHx3) =.5 [11] pproximate breakaway pressure under load: (L x.15 / ) + Zero Load reakaway measured in psi or bar. The above equations apply for direct loading only and are to be used as guidelines only. Mp L- L+ Mr 8 1 5 3 MOMENT ORIENTTIONS THRUST SPECIFICTIONS SHFT DIMETER in mm.157 4.3.315 8.47.3 1 ORE DIMETER in mm.315 8.47.3 1.984 5 1. 3 TOTL EFFECTIVE PISTON RE in mm. 75.7 17.47 3 1.17 75 1.87 CYLINDER THRUST CLCULTION F = Cylinder Force P = Operating Pressure = Effective rea Mp IMPERIL F = P x lb psi in My METRIC F =.1 x P x N bar mm REKWY Units have less than psi [1.4 bar] breakaway with zero load. Typical breakaway pressures at zero load are as follows: Size 8 = psi [1.4 bar] Size = 15 psi [1 bar] Size 1, 5 and 3 = 7 psi [.5 bar] Static and Dynamic Moment Capacity Use the following graphs and equations to determine the static and dynamic load capacities of the units. (Continued on following three pages) L+ L- My Mr My Mr L+ L- Mp LODING DIGRMS LOD LOD CG DIST LOD CG DIST LOD CG DIST LOD CG DIST ROLL LODS (Mr) CG DIST PITCH LODS (Mp) CG DIST LOD YW LODS (My) See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 15 8
SM SLIDE MOMENT CPCITY Use the following equations to determine the load capacity for moment orientations. The load placed on the unit must be the value calculated. If load is L, review the next larger size of actuator. SMHx8 SMHx SMHx1 SMHx5 SMHx3 TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 and C = Constants CG = Distance to Load in [mm] L = max Load at CG Distance lb [N] L = C / (CG + ) POLYmER USHING mx DYNmIC PITCH ND YW LODS (mp) (my) in mm 1..1.5.4.54 3.55.53 3.3 4.3.45 3.4 4.45 3.3 4.81 4. 53.3 3.5 51.8 4.5 9. 4.3 7.9.5. 87.8 1.9 84.3. LL USHING mx DYNmIC PITCH ND YW LODS (mp) (my) 1 in/sec [.5 m/sec] 8 94 1 113 13 148 33 388 41 459 57 418 8 9714 115 989 153 1781 178 15 51 835 3 337 411 449 5 84 TRVEL C in mm in mm in-lb Nmm 1-1/ 38.53 4.3 77 897 SMx1 3 75 3.3 7.9 19 55 5 5 4.3.5 145 1333 5.45. 149 1773 SMx5 4 1 3.4 87.8 9 3573 15 4.45 1.9 8 331 SMx3 3 75 3.3 84.3 53 8585 15 4.81. 373 4143 Reduce loads by 3% for SM units with -Q option. SMHx8 SMHx SMHx1 SMHx5 SMHx3 in.4.74.99 1.184 1.71 mm 1.3 18.9 4. 3.1 43. C in-lb [Nmm] in/sec [.51 m/sec] 3 in/sec [.7 m/sec] 4 438 8 5 579 3 37 7 4 45 1 1844 1 115 9 13 1435 8 39 18 5 43 481 9 33 57 4 39 444 7 818 5 5897 89 14 59 79 5 1414 84 9431 11 18188 17 5 5 314 139 15714 33 341 5 3151 SMxx8 SMxx SMxx1 SMxx5 SMx3 mx STTIC PITCH ND YW LOD CLCULTIONS (mp) (my) TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 POLYmER USHING mx DYNmIC ROLL LODS (mr) in/sec [1.5 m/sec] 1 14 185 91 8 81 11 3 14 1535 18 4 4 7 3 3355 4 471 54 3 7143 93 153 C in mm in-lb Nmm 1..1.5.4.54 3.55.53 3.3 4.3.45 3.4 4.45 3.3 4.81 41 53 4 51.8 4.5 9. 4 77 88 113 84.3. 4 3 33 19 117 34 33 8 931 9 881 58 4519 47 378 149 34 133 41 3434 3314 15189 118 9954 358 85 C in-lb [Nmm] 1 in/sec [.5 m/sec] in/sec [.51 m/sec] 3 in/sec [.7 m/sec] in/sec [1.5 m/sec].9 37 97 5 38 135 4179 195 54 1.4 19 48 113 158 78 14 54 77.9 4 13 3 7 45 148 314 8587.5 1 38 5 78 187 493 LL USHING mx DYNmIC ROLL LODS (mr) C in mm in-lb Nmm SMx1.99 4. 35 3954 SMx5 1.184 3.1 71 8 SMx3 1.71 43. 137 15479 Reduce loads by 3% for SM units with -Q option. SMxx8 SMxx SMxx1 SMxx5 SMxx3 mx STTIC ROLL LODS (mr) TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 C in mm in-lb Nmm.4.4.4.74.74.74.99.99.99 1.184 1.184 1.184 1.71 1.71 1.3 1.3 1.3 18.9 18.9 18.9 4. 4. 4. 3.1 3.1 3.1 43. 43. 1 11 8 4 3 5 14 97 9 455 38 34 14 71 188 43 94 5 34 781 15813 195 7794 5139 34789 43 7 8143 1 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SM SLIDE Maximum static loads for all units are shown in the table at right. Maximum dynamic load for SMxxx (ball bushings) are also provided in the table. Refer to graphs for maximum dynamic loads for polymer bushings. 8 1 5 3 CENTERED LODS (L-) (L+) TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 mx STTIC LOD lb N 5 111 17 7 13 58 7 43 191 33 147 144 41 1 445 71 31 38 19 115 198 881 758 4 188 mx DYNmIC LOD (Smxxx) lb N 4.5 1 3 8 71 1 7 35 DYNmIC CENTERED LOD GRPHS FOR POLYmER USHING 5 [.] SmHx8 4 [17.8] LOD lb [N] 3 [13.3] [8.9] 1 [4.4] 1 [.51] 3 4 [1.] 5 [1.3] [1.5] TRVEL VELOCITY in/sec [m/sec] 1 [71] SmHx 4 [178] SmHx1 LOD lb [N] [53] 8 [3] 4 [17.8] LOD lb [N] 3 [133] [89] 1 [44] 1 [.51] 3 4 [1.] TRVEL VELOCITY in/sec [m/sec] 5 [1.3] [1.5] 1 [.51] 3 4 [1.] TRVEL VELOCITY in/sec [m/sec] 5 [1.3] [1.5] LOD lb [N] [7] 5 [] 4 [178] 3 [133] [89] 1 [44] 1 [.51] SmHx5 3 4 [1.] TRVEL VELOCITY in/sec [m/sec] 5 [1.3] [1.5] LOD lb [N] 14 [xxx] [534] 1 [445] 8 [35] [7] 4 [178] [89] 1 [.51] SmHx3 3 4 [1.] TRVEL VELOCITY in/sec [m/sec] 5 [1.3] [1.5] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 17 8
SM SLIDE 3 DEFLECTION Use the following graphs and equations to determine the static and dynamic deflection for a centered load with the saddle located at mid-travel. Deflections occurring at endof-travel will be less than those indicated. Refer to PHD s Selection Software for deflections with pitch, yaw and roll moment loads. LOD CENTERED LOD DEFLECTION. [.3].1 3" [75 mm] 8 DEFLECTION in [mm].8 [.]. [.15].4 [.1] " [5 mm] 1" [5 mm]. [.5] [9] 4 [18] [7] 8 [3] 1 [44] [53] LOD lb [N] 14 [] 1 [71] 18 [8] [89] [98] 4 [17] DEFLECTION in [mm]. [.3].1.8 [.]. [.15].4 [.1]. [.5] 4" [1 mm] -1/" [ mm] 1" [5 mm] DEFLECTION in [mm].1 [.41].14 [.3]. [.3].1.8 [.]. [.15].4 [.1]. [.5] 5" [5 mm] 3" [75 mm] 1 1-1/" [38 mm] 1 [44] [89] 3 [133] LOD lb [N] 4 [178] 5 [] [7] [89] 4 [178] [7] 8 [35] LOD lb [N] 1 [445] [534] 14 [3] DEFLECTION in [mm].1 [.41].14 [.3]. [.3].1.8 [.]. [.15].4 [.1]. [.5] " [15 mm] 5 4" [1 mm] " [5 mm] DEFLECTION in [mm]. [.3].1.8 [.]. [.15].4 [.1]. [.5] 3 " [15 mm] 3" [75 mm] 5 [] 1 [445] 15 [7] [89] LOD lb [N] 5 [11] 3 [1334] 35 [1557] 4 [1779] 1 [445] [89] 3 [1334] LOD lb [N] 4 [1779] 5 [4] [9] 18 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SM SLIDE STOPPING CPCITY SELECTION To determine stopping capacity, calculate total moving weight. From Table 1, determine slide standard moving weight, add any additional weight adders due to options and add attached payload. This will be total moving weight WTM. Example: SM5 x -E-R with 1 lb load [SM55 x 5-E-R with 44.5 N load] WTM =.8 lb +.34 lb +.34 lb + 1 lb = 13.48 lb [.5 N + 1.5 N + 1.5 N + 44.5 N = N] Using the Kinetic Energy Graphs below, plot the total moving weight against impact velocity. If the value plotted is below the curve, then shock pads are an adequate deceleration method. If it is above the curve, hydraulic shock absorbers are required. To determine the correct hydraulic shock absorber, complete the calculations on the next page. 8 1 5 3 TRVEL in mm 1 5 5 3 75 1 5-1/ 4 1 1-1/ 38 3 75 5 5 5 4 1 15 3 75 15 TLE 1 STNDRD moving WEIGHT lb.34.44.53.85 1.1 1.3 1.7..4 3.5 4.4 5.1 5. 7.4 N 1.5..4 3.8 4.9 5.8 7. 8.9 1.7 15. 19..7 4.9 3.9 EFFECTIVE PISTON RE in..7.47 1.17 1.87 mm 75 17 3 75 mximum LLOWLE KINETIC ENERGY Impact Velocity in/sec [m/sec] 3. 5. [.3]. [.51] 15. [.38] 1. 5. [.13] 8 1.. 3. 4. 5. [4.4] [8.9] [13.3] [17.8] [.] Total moving Weight lb [N] Shock Pad Units Plain Units kg x 9.8 = N Impact Velocity in/sec [m/sec] 3. 5. [.3]. [.51] 15. [.8] 1. 5. [.13] 4. [17.8] 8. [35.] Total moving Weight lb [N]. [53.4] 1. [71.] kg x 9.8 = N Impact Velocity in/sec [m/sec] 3. 5. [.3]. [.51] 15. [.8] 1. 5. [.13]. [.7]. [53.4] 1 18. [8.1] 4. [17] Total moving Weight lb [N] 3. [133] 3. [1] kg x 9.8 = N 3. 5 3. 3 5. [.3] 5. [.3] Impact Velocity in/sec [m/sec]. [.51] 15. [.8] 1. 5. [.13] Impact Velocity in/sec [m/sec]. [.51] 15. [.8] 1. 5. [.13] 1. [44.5]. [89.] 3. [133] Total moving Weight lb [N] 4. [178] 5. []. [7] kg x 9.8 = N. [89.] 4. [178]. [7] Total moving Weight lb [N] 8. [35] 1. [445]. [534] kg x 9.8 = N See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 19 8
SM SLIDE 8 1 5 3 PHD SHOCK SORER NO. 8149-1-x 8149--x 815-1-x 77-1-x 71451-1-x SHOCK SORER SPECIFICTIONS CHRT STROKE in.1.3.4.448.7 m.53.58.1.114.183 THRED TYPE M8 x 1 M8 x 1 M1 x 1 M14 x 1.5 M x 1.5 ET TOTL ENERGY PER CYCLE in-lb 4 135 4 Nm.3.3 4.5 15.3 7.1 SHOCK SORER SIZING CLCULTION: Follow the next six steps to size shock absorbers. ETC TOTL ENERGY PER HOUR in-lb 5, 5, 11,, 4, Nm 554 554 439 94 4531 STEP 1: Identify the following parameters. These must be known for all energy absorption calculations. Variations or additional information may be required in some cases.. The total moving weight (WTM ) to be stopped. (completed from prior page). The slide velocity (V) at impact with the shock absorber. C. Number of cycles per hour. D. Orientation of the application s motion (i.e. horizontal or vertical application). E. Operating pressure STEP : Calculate the kinetic energy of the total moving weight. EK (in-lb) =.5 x WTM x V EK (Nm) =.5 x WTM x V 38 9.8 or Note: WTM in kg mass may be substituted for WTM EK (Nm) =.5 x WTM x V 9.8 STEP 3: Calculate the propelling force (FD ) for both extend and retract. Refer to previous page for Effective Piston reas. Horizontal application: FD = Effective Piston rea x P Vertical application: FD = (Effective Piston rea x P) ± WTM + indicates working with gravity, - indicates working against gravity Note: when using mm and bar units, it will be necessary to multiply the Effective Piston rea x P by a factor of.1 to obtain the correct unit of measure. Use Shock bsorber Specifications Chart to verify that the selected unit has an FG capacity greater than the value just calculated. If not, select a larger shock absorber or slide. Calculate the work energy input (EW = FD x S) using the travel of the shock absorber selected. STEP 4: Calculate the total energy. ET = EK + EW Use Shock bsorber Specifications Chart to verify that the selected unit has an ET capacity greater than the value just calculated. If not, select a larger shock absorber or slide. STEP 5: Calculate the total energy that must be absorbed per hour. (ETC). ETC = ET x C Use Shock bsorber Specifications Chart to verify that the selected unit has an ETC capacity greater than the value just calculated. If not, select a larger shock absorber or slide. STEP : Determine the damping constant for the selected shock absorber. Using the appropriate Shock bsorber Performance Graph, locate the intersection point for impact velocity (V) and total energy (ET). The area (-1, - -3, or -4) that the point falls in is the correct damping constant for the application. FG mx PROPELLING FORCE lb 45 45 8 8 N 35 89 45 Impact Velocity in/sec [m/sec] Impact Velocity in/sec [m/sec] Impact Velocity in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 Impact Velocity in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 SYMOLS DEFINITIONS C = Number of cycles per hour D = Cylinder bore diameter inch [mm] EK = Kinetic energy in-lb [Nm] ET = Total energy per cycle, EK + EW in-lb [Nm] ETC = Total energy per hour in-lb/hr [Nm/hr] EW = Work or drive energy in-lb [Nm] FD = Propelling force lb [N] FG = Max Propelling force lb [N] P = Operating pressure psi [bar] S = Stroke of shock absorber inch [m] V = Impact velocity in/sec [m/sec] WTM = Total moving weight lb [N or kg] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1-1 - 8 & - 5 1 15 5 [.] [1.1] [1.7] [.3] [.8] Total Energy/Cycle in-lb/c [Nm/c] 4 8 1 14 [.3] [4.5] [.8] [9.] [11.3] [13.] [15.8] Total Energy/Cycle in-lb/c [Nm/c] -3 1 1 3 4 5 [1.1] [.3] [3.4] [4.5] [5.] Total Energy/Cycle in-lb/c [Nm/c] 5 - -3 3 5 1 15 5 3 35 4 45 [5.] [11.3] [1.9] [.] [8.] [33.9] [39.5] [45.] [5.8] Total Energy/Cycle in-lb/c [Nm/c] -3-3 -4 11 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SM SLIDE HORIZONTL PPLICTION ON EDGE STEP 1: Determine pplication Data Pick and place application as shown Total Weight of vertical slide = 4.8 lb [1.4 N] Total Weight of gripper and tooling =. lb [.7 N] Total Weight of gripped object =.1 lb [.4 N] Operating Pressure = 87 psi [ bar] Required Travel = 5" [5 mm] ushings = Polymer Cycle/hours = 18 Velocity = 3 in/sec [.7 m/sec] Max Offset from center of slide (CG) = 1.5 in [31.75 mm] Travel adjustment or shock absorbers required STEP : Determine the Total Weight of the system Total Weight = 4.8 +. +.1 = 5.5 lb [4.5 N] STEP 3: Determine the moment load of the system Refer to the Roll Load Calculations to determine minimum size of actuator required. L = C / (D+), where L = Load lb [N], D = CG Distance,, C = Constants obtained from Roll table Minimum Travel required is 5", first check for SMHx1 L = 13 [148] / (1.5 [31.75] +.99 [4.]) = 5.8 lb [ N] Since 5.8 lb [ N] > applied load then SMHx1 would be sufficient. STEP 4: Refer to page 15 for thrust capacity calculation if needed. STEP 5: Refer to PHD's Selection Software for deflection calculations if needed STEP : Calculate Stopping Capacity Using the total moving weight and the velocity, review the kinetic energy graphs. Since the plotted value for shock pads falls outside the curves, shock absorbers are required. See Shock bsorber Selection Guide for detailed instructions. WTM = Total weight of system + moving weight WTM = 5.5 [4.5] +.4 [1.7] = 7.9 lb [35. N] EK =.5 x WTM x V / 38 = 9. in-lb [1.4 Nm] FD = Effective Piston rea x Operating Pressure FD =.47 in [3 mm ] x 87 psi [ bar] = 41 lb [181 N] Selection is OK since FD < 8 EW = FD x S = 41 [181] x.4 [.1] = 9.8 in-lb [1.1 Nm] ET = EK + EW = 9. [1.4] + 9.8 [1.1] = 19 in-lb [.15 Nm] Selection is OK since ET < 5 in-lb [5.7 Nm] ETC = ET x C = 19 [.15] x 18 = 34 [387] Selection is OK since ETC < 11, [439] Refer to Shock bsorber Graphs to select the appropriate damping constant which would be -3. STEP 7: Generate Slide Model Number SMH11 x 5 - NE3 - NR3 for Imperial SMH51 x 5 - NE3 - NR3 for Metric See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 111 8
sg slide model SGx1 SGCx1 SGDx1 SGx SGCx SGDx SGx3 SGCx3 SGDx3 SGx4 SGCx4 SGDx4 SGx5 SGCx5 SGDx5 SGx SGCx SGDx SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL 3 POSITION REPETILITY VELOCITY LURICTION SHFT DImETER in mm.315 8.315 8.394 1.394 1.394 1.47.47.47.3 1.3 1.3 1.787.787.787.984 5.984 5.984 5 1.181 3 ORE DImETER EFFECTIVE RE in mm DIRECTION in mm.75.787.984 1. 1.575 1.575 19.1 5 3 4 4 SERIES SG psi min to 15 psi max [1.4 bar min to 1 bar max] air - to +18 F [-9 to +8 C] Minimum travel +.9/-. in [+.3 mm/- mm] mid location ±.39 in [± 1 mm] ±.1 in [±.5 mm] 8 in/sec [ m/sec] max., zero load at 87 psi [ bar] Factory lubricated for life EXTEND RETRCT EXTEND RETRCT EXTEND RETRCT EXTEND RETRCT EXTEND RETRCT EXTEND RETRCT.44.37.49.41.7.4 1.5 1.7 1.95 1.4 1.95 1.4 85 3 314 4 491 4 84 91 57 15 57 15 lb 3.8+(.9xT) 3.7+(.9xT) 3.19+(.1xT) 4.9+(.14xT) 4.95+(.14xT) 5.13+(.15xT).47+(.1xT).41+(.1xT).7+(.9xT) 11.15+(.38xT) 1.9+(.38xT) 11.47+(.48xT) 15.58+(.48xT) 15.33+(.48xT) 1.3+(.4xT) 1.38+(.xT).91+(.xT).18+(.84xT) SE WEIGHT kg 1.4+(1.1xT) 1.39+(1.1xT) 1.45+(1.79xT).5+(.5xT).4+(.5xT).33+(.8xT).94+(3.75xT).91+(3.75xT) 3.7+(5.13xT) 5.+(.8xT) 4.97+(.8xT) 5.+(8.59xT) 7.7+(8.59xT).95+(8.59xT) 7.39+(11.3xT) 9.7+(11.7xT) 9.48+(11.7xT) 1.+(15.7xT) TYPICL DYNmIC LOD lb N 4 178 3 134 35 15 5 5 111 5 5 89 7 8 35 1 7 9 41 11 49 3 1334 14 3 175 779 5 4 5 11 75 4 NOTES: 1) T= travel length inches [m] ) Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. SLIDE model SGx81 SGx8 SGx83 SGx84 SGx85 SGx8 NOTES: ISO CYLINDER SPECIFICTIONS (OPTION -H11 OR -H) Ø 1 mm per ISO/43 Standard Ø mm per ISO/43 Standard Ø 5 mm per ISO/43 Standard Ø 3 mm per VDM 45/ISO 431 Ø 4 mm per VDM 45/ISO 431 Ø 4 mm per VDM 45/ISO 431 1) ISO cylinder per above chart is to be supplied by customer. ) Cylinder rod extensions are not required. Slide units have an alignment coupler and spacer for each specific unit. CYLINDER FORCE CLCULTIONS Imperial F = P x Metric F =.1 x P x F = Cylinder Force lbs N P = Operating Pressure psi bar = Effective rea in mm (Extend or Retract) MXIMUM SLIDE VELOCITY Maximum velocity for Series SG Slides with PHD CV Cylinders is approximately 8 in/sec [ m/s] on all sizes without port controls. (For specific speeds, consult PHD s Series CV Cylinder pages.) The above figures are based on optimum operating conditions and no load with 87 psi [ bar] working pressure. For units with -H11 and -H options, consult ISO cylinder suppliers. LURICTION ll slides are permanently lubricated at the factory for service under normal conditions. PHD Cylinders can be run using unlubricated air. Use of lubricated air with the cylinders will extend life. Optimum life can be obtained on Series SG Slides by periodic lubrication (every 5 million inches of travel) of the shafts. PHD suggests a lightweight oil. Silicon-based lubricants should NOT be used on units with PHD s TC bushings. 1 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE SLIDE SELECTION There are three major factors to consider when selecting a slide: 1 ushing Load Capacity Use the maximum rolling load values from the graphs for the relevant bushing (pages 115 to ). Linear ball bushing loads shown below are based on a service life of 1 million inches [5.4 million meters] of slide travel. See charts for TC bushing service life. Shaft Deflection Use the Deflection Graphs (pages 115 to ) to determine if the slide has acceptable deflection for the application. 3 ir cylinder thrust Use the effective piston area (see chart on previous page) of the slide s cylinder to determine if thrust is sufficient for the applied load. The graphs on pages 115 to provide complete sizing information. See page 114 for torsional deflection formulas. SLIDE model SGx1 SGCx1 SGDx1 SGx SGCx SGDx SGx3 SGCx3 SGDx3 SGx4 SGCx4 SGDx4 SGx5 SGCx5 SGDx5 SGx SGCx SGDx mximum LODS HORIZONTL LOD mximum STTIC OR SHOCK LOD mximum DYNmIC LOD lb N lb N 77. 55 (T/ +.57) 98 (T/ +.57) 11. 98 (T/ +.1) 17 (T/ +.1) 3 834 (T/ +.13) 739 (T/ +.13) 5 739 (T/ +.83) 13138 (T/ +.83) 13138 (T/ +.978) 579 (T/ +.978) 9 579 (T/ +.97) 4439 (T/ +.97) 34.5 57.3 (T/ +.14) 11. (T/ +.14) 489.3 11. (T/ +.15) 191. (T/ +.15) 5 319.9 (T/ +.15) 7.4 (T/ +.15) 55 7.4 (T/ +.11) 1481 (T/ +.11) 9785. 1481 (T/ +.48) 93 (T/ +.48) 899. 93 (T/ +.4) 5 (T/ +.4) 49 5 7 18 34 55 18. 3.3 TORQUE LOD mximum STTIC TORQUE in-lb Nm 543. (T/ +.1) 3.7 45 (T/ +.13) 1749 (T/ +.13) 7.3 (T/ +.15) 41.4 13 (T/ +.15) 3.9 (T/ +.15) 9.7 3.9 (T/ +.11) 7 (T/ +.11) *This formula yields equivalent horizontal load value. See appropriate Load vs. Life graph on pages 115 to. See appropriate TC Load vs. Life Graph for maximum loads on pages 115 to. 49. 87.3 15.3 513.1 93. 11 (T/ +.57) 1194 (T/ +.57) 14. 1475 (T/ +.1) 387 88 (T/ +.83) 587 (T/ +.83) 411 7537 (T/ +.978) 5383 (T/ +.978) 79 59139 (T/ +.97) 44 (T/ +.97) 1.5 1.8 (T/ +.14) 3.4 (T/ +.14) 18. 4. (T/ +.15) 51 79 (T/ +.48) 154 (T/ +.48) 754.7 17 (T/ +.4) 94 (T/ +.4) mximum DYNmIC TORQUE in-lb Nm 59.3.7 1.1 1.1 83.8 1.49 1.49 115 1.595 1.595 355 1.99 1.99 713.9.9 131.33.33.31.31 9.5.38.38 13.45.45 4.1.485.485 8..53.53 147.585.585 T = Travel inch [m] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 113 8
SG SLIDE TORSIONL DEFLECTION CLCULTIONS NGLE FORCE L TQ = Torque in-lb [Nm] (L x Force) T = Saddle travel inch [mm] ngle = Degrees ImPERIL UNIT SG11, SGC11 TQ x (T + 3.543) x 1.5 x 1-4 = ngle SGD11 TQ x (T + 3.543) x.7 x 1-5 = ngle SG, SGC TQ x (T + 3.543) x.7 x 1-5 = ngle SGD TQ x (T + 3.543) x 3.1 x 1-5 = ngle SG13, SGC13 TQ x (T + 3.99) x 3.1 x 1-5 = ngle SGD13 TQ x (T + 3.99) x 1.33 x 1-5 = ngle SG14, SGC14 TQ x (T + 4.744) x 1.33 x 1-5 = ngle SGD14 TQ x (T + 4.744) x 4.5 x 1 - = ngle SG15, SGC15 TQ x (T + 5.75) x 4.5 x 1 - = ngle SGD15 TQ x (T + 5.75) x 1.731 x 1 - = ngle SG1, SGC1 TQ x (T +.75) x 1.731 x 1 - = ngle SGD1 TQ x (T +.75) x 8.34 x 1-7 = ngle NGLE FORCE SG51, SGC51 SGD51 SG5, SGC5 SGD5 SG53, SGC53 SGD53 SG54, SGC54 SGD54 SG55, SGC55 SGD55 SG5, SGC5 SGD5 L metric UNIT TQ x (T + 9.) x 5.75 x 1-5 = ngle TQ x (T + 9.) x.35 x 1-5 = ngle TQ x (T + 9.) x.35 x 1-5 = ngle TQ x (T + 9.) x 1.13 x 1-5 = ngle TQ x (T + 11.5) x 1.13 x 1-5 = ngle TQ x (T + 11.5) x 3. x 1 - = ngle TQ x (T +.5) x 3. x 1 - = ngle TQ x (T +.5) x 1.47 x 1 - = ngle TQ x (T + 14.) x 1.47 x 1 - = ngle TQ x (T + 14.) x.31 x 1-7 = ngle TQ x (T + 171.5) x.31 x 1-7 = ngle TQ x (T + 171.5) x.9 x 1-7 = ngle PHD S TC USHING PHD offers the unique TC bushings as an alternative to traditional linear ball bushings. The TC bushings offer the following advantages. ImPERIL UNIT SG11, SGC11 TQ x (T + 3.543) 3 x. x 1 - = Tangent of ngle SGD11 TQ x (T + 3.543) 3 x 9.9 x 1-7 = Tangent of ngle SG, SGC TQ x (T + 3.543) 3 x 7.3 x 1-7 = Tangent of ngle SGD TQ x (T + 3.543) 3 x 3.5 x 1-7 = Tangent of ngle SG13, SGC13 TQ x (T + 3.99) 3 x 1.71 x 1-8 = Tangent of ngle SGD13 TQ x (T + 3.99) 3 x.11 x 1-9 = Tangent of ngle SG14, SGC14 TQ x (T + 4.744) 3 x 3. x 1-9 = Tangent of ngle SGD14 TQ x (T + 4.744) 3 x.35 x 1-9 = Tangent of ngle SG15, SGC15 TQ x (T + 5.75) 3 x 1.73 x 1-9 = Tangent of ngle SGD15 TQ x (T + 5.75) 3 x 7.48 x 1-1 = Tangent of ngle SG1, SGC1 TQ x (T +.75) 3 x.9 x 1-1 = Tangent of ngle SGD1 TQ x (T +.75) 3 x 3. x 1-1 = Tangent of ngle TC bushings are maintenance free and self lubricating. The thin bushing design permits oversize shafts to be used in the slide body, saving space and decreasing shaft deflection. The ability to carry static loads up to times greater than traditional linear bushings. Can be used in harsh environments where dirt, grit, metal particles, and metal cutting liquids destroy other bushings. TC USHING SLIDE ODY USHING SLEEVE SHFT SG51, SGC51 SGD51 SG5, SGC5 SGD5 SG53, SGC53 SGD53 SG54, SGC54 SGD54 SG55, SGC55 SGD55 SG5, SGC5 SGD5 TC bushings are almost impervious to static shock loads because there are no ball bushings to damage or to brinell the shafts. Slides with PHD s TC bushings cost less than units with traditional ball bushings. FRICTION In horizontal applications, a slide with TC bushing requires a higher breakaway pressure than a linear ball bushing. reakaway pressure for linear ball bushing = psi [1.38 bar] at zero load. pproximate breakaway pressure for TC bushings is calculated as follows: psi = [(L x.15)/] + ar = [(L x.15)/] + 1.38 metric UNIT TQ x (T + 9.) 3 x 1. x 1-9 = Tangent of ngle TQ x (T + 9.) 3 x 4.91 x 1-1 = Tangent of ngle TQ x (T + 9.) 3 x 3.97 x 1-1 = Tangent of ngle TQ x (T + 9.) 3 x 1.9 x 1-1 = Tangent of ngle TQ x (T + 11.5) 3 x 9.3 x 1 - = Tangent of ngle TQ x (T + 11.5) 3 x 3.3 x 1 - = Tangent of ngle TQ x (T +.5) 3 x 1.9 x 1 - = Tangent of ngle TQ x (T +.5) 3 x 1.7 x 1 - = Tangent of ngle TQ x (T + 14.) 3 x 9.34 x 1-13 = Tangent of ngle TQ x (T + 14.) 3 x 4.4 x 1-13 = Tangent of ngle TQ x (T + 171.5) 3 x 3.1 x 1-13 = Tangent of ngle TQ x (T + 171.5) 3 x 1.74 x 1-13 = Tangent of ngle L = Load on saddle lb [kg] = (SGC1, SGD1, SGC1, SGD1)=.37 [.3] = (SGC, SGD, SGC, SGD)=.41 [.4] = (SGC3, SGD3, SGC3, SGD3) =.4 [4.] = (SGC4, SGD4, SGC4, SGD4) = 1.7 [.91] = (SGC5, SGD5, SGC5, SGD5) = 1.4 [1.5] = (SGC, SGD, SGC, SGD) = 1.4 [1.5] 114 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS The following graphs are designed to provide a quick and easy method of sizing and comparing each Series SG Slide. Maximum load versus travel is shown with various deflection curves for determining shaft deflection for the application. The linear ball bushing load ratings shown are derated by a factor of 1. from the bearing manufacturer's ratings to provide a design safety factor. Consult PHD for applications which exceed maximum load ranges shown. Maximum loads for linear ball bushings are based on a service life of 1 million inches [5.4 million meters] of linear travel. See graphs for TC bushing service life. The deflection figures given in these graphs are based on the effect of external loads. Shaft straightness, shaft weight, and bearing alignment will affect the accuracy of the saddle location. For torsional deflection calculations, see page 114. Consult PHD for applications requiring high precision saddle location. MXIMUM LOD lb [kg] NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced. 5 [.7] 4 [18.1] 3 [13.] [9.1] 1 [4.5] SGx1 WITH LINER LL USHINGS 1 [5.4] LOD CPCITY ND DEFLECTION.1" [5.8].5" [.4] 3 [7.].5" [.7] 4 [11.].1".15" 5 7 8 [7] [15.4] [177.8] [3.] SDDLE TRVEL inch [mm] 9 [8.] 1 [54] 11 [79.4] [34.8] TRVEL inch [mm] Horizontal load values are based on the load centered on the saddle as shown. [7.] 5 [.7] 4 [18.1] 3 [13.] [9.1] DEFLECTION.5" [.4] SGCx1 WITH PHD TC USHINGS.5" [.7].1" [.54].15" [.381] [7.] [.7] 5 [18.1] 4 [13.] 3 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] [9.1] [4.5] 1 18 4 3 3 4 48 54 [.15] [.3] [.4] [.1] [.91] [1.7] [1.] [1.37] V VELOCITY in/sec [m/sec].1" 1 [4.5] 1 [5.4] [5.8] 3 [7.] 4 [11.] 5 7 8 [7.] [15.4] [177.8] [3.] SDDLE TRVEL inch [mm] 9 [8.] 1 [54.] 11 [79.4] [34.8] SGDx1 WITH PHD TC USHINGS ND OVER SHFTS 7 [31.8] [7.] DEFLECTION [31.8] 7 [7.] LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 5 [.7] [.7] 5 4 [18.1] 3 [13.] [9.1] 1 [4.5].1".1".5" [.7].5" [.4].15" [18.1] 4 [13.] 3 [9.1] [4.5] 1 1 [5.4] 3 4 5 7 8 9 1 11 [5.8] [7.] [11.] [7.] [15.4] [177.8] [3.] [8.] [54.] [79.4] [34.8] SDDLE TRVEL inch [mm] [.15] [.3] 18 [.4] 4 [.1] 3 3 [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 115 8
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the [7.] SGx WITH LINER LL USHINGS LOD CPCITY ND DEFLECTION performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced. 5 [.7] 4 [18.1] 3 [13.].1".15".5" [.7] [9.1].5" 1 [4.5].1" 1 [5.4] [5.8] 3 [7.] 4 [11.] 5 7 8 [7.] [15.4] [177.8] [3.] SDDLE TRVEL inch [mm] 9 [8.] 1 [54.] 11 [79.4] [34.8] SGCx WITH PHD TC USHINGS 8 [3.3] 7 [31.8] [7.] 5 [.7] 4 [18.1] 3 [13.] [9.1] 1 [4.5].1" DEFLECTION.5".5" [.7].1".15" [3.3] 8 [31.8] 7 [7.] [.7] 5 [18.1] 4 [13.] 3 [9.1] [5.4] 1 LOD VS. LIFE - 1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 1 [5.4] [5.8] 3 [7.] 4 [11.] 5 7 8 [7.] [15.4] [177.8] [3.] SDDLE TRVEL inch [mm] 9 [8.] 1 [54.] 11 [79.4] [34.8] [.15] [.3] 18 [.4] 4 [.1] 3 3 [.91] 4 [1.7] V VELOCITY in/sec [m/sec] 48 [1.] 54 [1.37] SGDx WITH PHD TC USHINGS ND OVER SHFTS DEFLECTION [45.4] 1 LOD VS. LIFE 9 [4.8] 8 [3.3] 7 [31.8] [7.] 5 [.7] 4 [18.1] 3 [13.] [9.1] 1 [4.5] 1 [5.4] [5.8].1" 3 [7.] 4 [11.].5".5" [.7].1" 5 7 8 [7.] [15.4] [177.8] [3.] SDDLE TRVEL inch [mm].15" 9 [8.] 1 [54.] 11 [79.4] [34.8] [3.3] 8 [7.] [18.1] 4 [9.1] [.15] [.3] 18 [.4] -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 4 [.1] 3 3 [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] 11 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the 8 [3.3] 7 [31.8] [7.] 5 [.7] 4 [18.1] 3 [13.] [9.1] 1 [4.5] SGx3 WITH LINER LL USHINGS LOD CPCITY ND DEFLECTION.1".5" performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced..5" [.7].1".15" 1 3 4 5 7 8 9 1 11 13 14 15 1 [5.4] [5.8] [7.] [11.][7.][15.4][177.8][3.][8.][54.][79.4][34.8][33.][355.][381.][4.4] SDDLE TRVEL inch [mm] SGCx3 WITH PHD TC USHINGS [54.4] 1 [45.4] DEFLECTION [54.4] [45.4] 1 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 8 [3.3] [7.] 4 [18.1].5".1".15" [3.3] 8 [7.].5" [.7] [18.1] 4 [9.1].1" [9.1] 1 3 4 5 7 8 9 1 11 13 14 15 1 [5.4] [5.8] [7.] [11.][7.][15.4][177.8][3.][8.][54.][79.4][34.8][33.][355.][381.][4.4] SDDLE TRVEL inch [mm] [.15] [.3] 18 [.4] 4 3 3 [.1] [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] SGDx3 WITH PHD TC USHINGS ND OVER SHFTS 1 [7.] 14 [3.5] [54.4] 1 [45.4] 8 [3.3] [7.] 4 [18.1] [9.1].1" DEFLECTION.5".5" [.7].1".15" 1 3 4 5 7 8 9 1 11 13 14 15 1 [5.4] [5.8] [7.] [11.][7.][15.4][177.8][3.][8.][54.][79.4][34.8][33.][355.][381.][4.4] SDDLE TRVEL inch [mm] [7.] 1 [3.5] 14 [54.4] [45.4] 1 [3.3] 8 [7.] [18.1] 4 [9.1] [.15] [.3] 18 [.4] LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 4 3 3 [.1] [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 117 8
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the [9.7] 18 [81.7] 1 [7.] 14 [3.5] [54.4] 1 [45.4] 8 [3.3] [7.] 4 [18.1] [9.1] SGx4 WITH LINER LL USHINGS [5.8] LOD CPCITY ND DEFLECTION.1" 4 [11.].5".5" [.7] 8 1 [15.4] [3.] [54.] [34.8] SDDLE TRVEL inch [mm] performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced..1".15" 14 [355.]." 1 [4.4] 18 [457.] [58.] SGCx4 WITH PHD TC USHINGS 18 [81.7] 1 [7.] 14 [3.5] [54.4] 1 [45.4] 8 [3.3] [7.] 4 [18.1] [9.1] [5.8].1" 4 [11.] DEFLECTION.5" [15.4].5" [.7].1".15" 8 1 14 [3.] [54.] [34.8] [355.] SDDLE TRVEL inch [mm]." 1 [4.4] 18 [457.] [58.] [81.7] 18 [7.] 1 [3.5] 14 [54.4] [45.4] 1 [3.3] 8 [7.] [18.1] 4 [9.1] [.15] [.3] 18 [.4] LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 4 3 3 [.1] [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] SGDx4 WITH PHD TC USHINGS ND OVER SHFTS 5 [.1] [9.7] 15 [8.] 1 [45.4] DEFLECTION.1".5" [.7].5".15"." [113.4] 5 [9.7] [8.] 15 [45.4] 1 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 5 [.7].1" [.7] 5 [5.8] 4 [11.] [15.4] 8 1 14 [3.] [54.] [34.8] [355.] SDDLE TRVEL inch [mm] 1 [4.4] 18 [457.] [58.] [.15] [.3] 18 [.4] 4 [.1] 3 3 [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] 118 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the 35 [158.8] 3 [13.1] 5 [113.4] [9.7] 15 [8.] SGx5 WITH LINER LL USHINGS LOD CPCITY ND DEFLECTION.5".1" [.54] performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced..".3" 1 [45.4] 5 [.7] [5.8].1" 4 [11.] [15.4] 8 [3.] 1 14 [54] [34.8] [355.] SDDLE TRVEL inch [mm] 1 [4.4] 18 [457.] [58] [558.3] 4 [9.] SGCx5 WITH PHD TC USHINGS 3 [13.1] 5 [113.4] [9.7] 15 [8.] 1 [45.4] DEFLECTION.5".1" [.54].".3" [13.1] 3 [113.4] 5 [9.7] [8.] 15 [45.4] 1 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 5 [.7].1" [.7] 5 [5.8] 4 [11.] [15.4] 8 [3.] 1 14 1 [54.] [34.8] [355.] [4.4] SDDLE TRVEL inch [mm] 18 [457.] [58] [558.8] 4 [9.] [.15] [.3] 18 [.4] 4 [.1] 3 3 [.91] 4 [1.7] V VELOCITY in/sec [m/sec] 48 [1.] 54 [1.37] SGDx5 WITH PHD TC USHINGS ND OVER SHFTS 35 [158.8] 3 [13.1] 5 [113.4] [9.7] 15 [8.] 1 [45.4] DEFLECTION.1".5".1" [.54]." [158.8] 35 [13.1] 3 [113.4] 5 [9.7] [8.] 15 [45.4] 1 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 5 [.7] [.7] 5 [5.8] 4 [11.] [15.4] 8 [3.] 1 14 1 [54.] [34.8] [355.] [4.4] SDDLE TRVEL inch [mm] 18 [457.] [58] [558.8] 4 [9.] [.15] [.3] 18 [.4] 4 3 3 [.1] [.91] V VELOCITY in/sec [m/sec] 4 [1.7] 48 [1.] 54 [1.37] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 119 8
SG SLIDE MXIMUM ROLLING LOD & DEFLECTION GRPHS NOTE: Weight scales change from graph to graph for maximum clarity. Deflections shown are theoretical and reflect the [7.] SGx LOD DEFLECTION LOD CPCITY ND DEFLECTION performance of the unit at mid-travel. Deflections at ends of travel will be greatly reduced. 5 [.8] 4 [181.4] 3 [13.1] [9.7].".1" [.54].5".4" [.11].3" 1 [45.4] 3 [7.].1" [15.4] 9 [8.] [34.8] 15 18 1 [381] [457.] [533.4] SDDLE TRVEL inch [mm] 4 [9.] 7 [85.8] 3 [7] 33 [838.] 3 [914.4] SGCx WITH TC USHINGS 45 [4.1] 4 [181.4] 35 [158.8] 3 [13.1] 5 [113.4] [9.7] 15 [8.] 1 [45.4] 5 [.7] 3 [7.].1" [15.4] 9 [8.] DEFLECTION.5" [34.8].1" [.54]." 15 18 1 4 [381.] [457.] [533.4] [9.] SDDLE TRVEL inch [mm].4" [.11].3" 7 [85.8] 3 [7.] 33 [838.] 3 [914.4] [4.1] 45 [181.4] 4 [158.8] 35 [13.1] 3 [113.4] 5 [9.7] [8.] 15 [45.4] 1 [.7] 5 [.15] [.3] 18 [.4] LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters] 4 [.1] 3 3 [.91] 4 [1.7] V VELOCITY in/sec [m/sec] 48 [1.] 54 [1.37] SGDx WITH PHD TC USHINGS ND OVER SHFTS [7.] 5 [.8] 4 [181.4] 3 [13.1] DEFLECTION.".3".4" [.11] [7.] [.8] 5 [181.4] 4 [13.1] 3 LOD VS. LIFE -1 Million Inches of Travel [.5 Million Meters] - Million Inches of Travel [5 Million Meters].1" [.54] [9.7].5" [9.7] 1 [45.4].1" [45.4] 1 3 [7.] [15.4] 9 [8.] [34.8] 15 18 1 4 [381.] [457.] [533.4] [9.] SDDLE TRVEL inch [mm] 7 [85.8] 3 [7.] 33 [838.] 3 [914.4] [.15] [.3] 18 [.4] 4 [.1] 3 3 [.91] 4 [1.7] V VELOCITY in/sec [m/sec] 48 [1.] 54 [1.37] 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE STOPPING CPCITY To determine stopping capacity: Calculate total moving weight. From Table 1, determine saddle weight (WM). Multiply the travel by the travel adder + saddle weight Example for SG3 x 1 [SG3 x 1]: WM = [1 x.34] + 3.5 = 3.84 lb [WM = (1 x.1 x 1-4 ) + 1.59 = 1.5 kg] dd WM to attached load (payload) = Total Moving Weight [WTM ] 3.84 + 5. = 8.84 lb [1.5 +.7 = 3.9 kg] Using the Kinetic Energy Graphs below, plot the total moving weight and impact velocity. If the value is less than slide with cylinder, shock pad, or travel adjustment curves, that type of deceleration is adequate. If it is greater than these curves, hydraulic shock absorbers are required. ImPCT VELOCITY in/sec 3 4 [.1] 18 [.4] [.3] [.15] C SGxx1 To determine the correct hydraulic shock, complete the calculation on the next page. PHD suggests hydraulic shock absorbers for all applications where the center of gravity of the payload is off the slide centerline more than inches [5 mm] travelling at speeds greater than 1 in/sec [.5 m/sec]. SLIDE model SGxx1 SGxx SGxx3 SGxx4 SGxx5 SGxx SDDLE WEIGHT lb kg 1.39.3.1.98 3.5 1.59 5.4.45 8.5 3.8 11. 4.99 MXIMUM KINETIC ENERGY GRPHS TLE 1 TRVEL DDER lb/in kg/mm. 3.9 x 1-4. 3.9 x 1-4.34.1 x 1-4.3 1.1 x 1-3.87 1. x 1-3.87 1. x 1-3 CYL. ORE (PHD) in mm.75 19.787.984 5 1. 3 1.575 4 1.575 4 CYL. ORE (H11/H) mm 1 5 3 4 4 Moving weight adder for slide kinetic energy calculation includes cylinder rod. ImPCT VELOCITY in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 C SGxx ImPCT VELOCITY in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 C 5 [.7] 1 [4.54] 15 [.8] [9.7] 5 [11.34] SGxx3 3 [13.1] TOTL moving 35 [15.88] 4 [18.14] 45 [.41] 5 [.8] ImPCT VELOCITY in/sec [m/sec] 1 [4.5] [9.1] 3 [13] 4 [18] 5 [3] TOTL moving [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 C SGxx4 [7] ImPCT VELOCITY in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 1 [4.5] [9.1] C 3 [13] 4 [18] TOTL moving SGxx5 5 [3] [7] 7 [3] ImPCT VELOCITY in/sec [m/sec] [1.5] 5 [1.3] 4 [1.] 3 [.51] 1 5 [11] 5 [3] 75 [34] TOTL moving C SGxx 1 [45] 5 [57] 5 [11] 5 [3] 75 [34] 1 [45] 5 [57] TOTL moving 15 [8] 175 [79] [91] 5 [11] 5 [3] = slide with cylinder, = slide with cylinder with shock pad; C = slide with cylinder with cushions 75 [34] 1 [45] 5 [57] TOTL moving 15 [8] 175 [79] [91] See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 1 8
SG SLIDE SLIDE model SGxx1 SGxx SGxx3 SGxx4 SGxx5 SGxx SHOCK SORER SPECIFICTIONS CHRT PHD SHOCK SORER NUmER 57858-7-x (1,,3) 57858-7-x (1,,3) 57858-1-x 57858--x (1,,3) 57858--x (5,,7) 57858--x (1,,3) 57858--x (5,,7) 57858--x (1,,3) 57858--x (5,,7) ET TOTL ENERGY/CYCLE in-lb Nm 5 7.3 8 9. 198 3 35 38 SHOCK SORER SIZING CLCULTION: Follow the next six steps to size shock absorbers. STEP 1: Identify the following parameters. These must be known for all energy absorption calculations. Variations or additional information may be required in some cases.. The total moving weight (WTM) to be stopped in lb [kg].. The slide velocity (V) at impact with the shock absorber in ft/sec [m/sec]. C. External propelling force (FD) in lb [N]. D. Number of cycles per hour in in-lb/hr [Nm/hr]. E. Orientation of the application s motion (i.e. horizontal or vertical application). See pages 3 and 4. STEP : Calculate the kinetic energy of the total moving weight. EK in-lb = V WTM x WTM x. [EK Nm = x V ] Use Shock bsorber Specifications Chart to select a shock absorber with total energy (ET) capacity greater than the value just calculated. STEP 3: Calculate the propelling force (FD). Horizontal application: FD =.785 x d x P [FD =.785 x d x P] Vertical application: FD = (.785 x d x P) + WTM [FD = (.785 x d x P) + (9.8 x WTM)] Use Shock bsorber Specifications Chart to verify that the selected unit has an FD capacity greater then the value just calculated. If not, select a larger shock absorber or slide. Calculate the work energy input (EW) from any external (propelling) forces acting on the load, using the stroke of the shock absorber selected. EW = FD x S STEP 4: Calculate the total energy. ET = EK + EW Use Shock bsorber Specifications Chart to verify that the selected unit has an ET capacity greater then the value just calculated. If not, select a larger shock absorber or slide. STEP 5: Calculate the total energy that must be absorbed per hour (ETC). ETC = ET x C Use Shock bsorber Specifications Chart to verify that the selected unit has an ETC capacity greater then the value just calculated. If not, select a larger shock absorber or slide. STEP : Determine the damping constant for the selected shock absorber. Using the appropriate Shock bsorber Performance Graph, locate the intersection point for impact velocity (V) and total energy (ET). The shaded area (-1, -, or -3) that the point falls in is the correct damping constant for the application. 34 4 43 ETC TOTL ENERGY/HOUR in-lb Nm 3 339 3 339 4 45 78 8 94 78 8 94 78 8 94 FD PROPELLING FORCE lb N 53 53 89 35 155 5 35 155 5 35 155 5 SYMOLS DEFINITIONS C = Number of cycles per hour d = Cylinder bore diameter inch [mm] EK = Kinetic energy in-lb [Nm] ET = Total energy per cycle, EK + EW in-lb [Nm] ETC = Total energy per hour in-lb/hr [Nm/hr] EW = Work or drive energy in-lb [Nm] FD = Propelling force lb [N] P = Operating pressure psi [bar] S = Stroke of shock absorber inch [m] V = Impact velocity ft/sec [m/sec] WTM = Total moving weight lb [kg] SHOCK SORER PERFORMNCE GRPHS ImPCT VELOCITY ft/sec [m/sec] ImPCT VELOCITY ft/sec [m/sec] ImPCT VELOCITY ft/sec [m/sec] ImPCT VELOCITY ft/sec [m/sec] 4.5 [1.37] 4 [1.] 3.5 [1.7] 3 [.91].5 [.1] 1.5 [.4] 1 [.3].5 [.15] 4.5 [1.37] 4 [1.] 3.5 [1.7] 3 [.91].5 [.1] 1.5 [.4] 1 [.3].5 [.15] 4.5 [1.37] 4 [1.] 3.5 [1.7] 3 [.91].5 [.1] 1.5 [.4] 1 [.3].5 [.15] 4.5 [1.37] 4 [1.] 3.5 [1.7] 3 [.91].5 [.1] 1.5 [.4] 1 [.3].5 [.15] PHD SHOCK SORER KIT #57858-7-x (1,, 3) 1 [1.13] [.] 57858-7-1 3 4 5 [3.39] [4.5] [5.5] ET TOTL ENERGY in-lb [Nm] 57858-7- [.78] 57858-7-3 7 [7.91] PHD SHOCK SORER KIT #57858-1-x (1,, 3) 5 [.8] PHD SHOCK SORER KIT #57858--x (1,, 3) 5 [5.5] 57858--1 1 [11.3] 57858-- 15 5 3 [1.95] [.] [8.5] [33.9] ET TOTL ENERGY in-lb [Nm] 57858--3 35 [39.55] PHD SHOCK SORER KIT #57858--x (5,, 7) 5 [5.5] 57858-1-1 5 [5.5] 57858--5 1 [11.3] 57858-- 57858-1- 75 1 5 [8.47] [11.3] [14.] ET TOTL ENERGY in-lb [Nm] 57858-1-3 15 [1.95] 57858--7 15 5 3 [1.95] [.] [8.5] [33.9] ET TOTL ENERGY in-lb [Nm] 175 [19.77] 35 [39.55] 8 [9.4] [.] 4 [45.] 4 [45.] 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511
SG SLIDE SIZING EXMPLE: (IMPERIL ONLY) LOD S HORIZONTL PPLICTION STEP 1: pplication Data Example: SG5 x 18 inch travel and lb payload (WTM) Weight = 3 lb (Total Moving Weight) (V) Velocity = 3 ft/sec (Speed of Travel) (d) Cylinder ore Diameter = 1.574 (P) Operating Pressure = 8 psi (C) Cycles/Hr = 8 c/hr WM = 8.5 + (.87 x 18 in) WM = 1. lb WTM = 1. +. WTM = 3. lb STEP : Calculate kinetic energy. EK = V x WTM x. EK = 3 x 3 x. EK = 57. in-lb Select Shock bsorber #57858--x, because 57. < ET in Shock bsorber Specifications Chart. STEP 3: Calculate work energy. FD = Effective Piston rea x P (See page 1) FD = 1.95 x 8 FD = 15 in-lb Since 15 is less than FD in Shock bsorber Specifications Chart, proceed. EW = FD x S EW = 15 x 1. EW = 15 in-lb STEP 4: Calculate total energy. ET = EK + EW ET = 57. + 15 ET = 13. in-lb Since 13. is less than ET in Shock bsorber Specifications Chart, proceed. STEP 5: Total energy absorbed per hour ETC = ET x C ETC = 13. x 8 ETC = 1788 in-lb/hr Since 1788 is less than ETC in Shock bsorber Specifications Chart, proceed. STEP : Choose proper damping constant for correct shock absorber on Shock bsorber Performance Graphs, page. #57858-- is the correct unit for the application. See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511 3 8
SG SLIDE SIZING EXMPLE: (IMPERIL ONLY) VERTICL PPLICTION STEP 1: pplication Data Example: SG3 x 8 inch travel with an 8 lb payload (WTM) Weight = 11.77 lb (Total Moving Weight) (V) Velocity = 3 ft/sec (Speed of Travel) (d) Cylinder ore Diameter =.984 (P) Operating Pressure = 8 psig (C) Cycles/Hour = c/hr STEP : Calculate kinetic energy. EK = V x WTM x. EK = 3 x 11.77 x. EK = 1. in-lb Select Shock bsorber #57858-1-x, because 1. < ET in Shock bsorber Specifications Chart. STEP 3: Calculate work energy. (RETRCT) FD = (Effective piston area x P) + WTM (See page 1) FD = 51. + 11.77 FD =.97 in-lb Since.97 is less than FD in Shock bsorber Specifications Chart, proceed. EW = FD x S EW =.97 x.75 EW = 47. in-lb STEP 4: Calculate total energy. S LOD STEP 3: Calculate work energy. (EXTEND) FD = (Effective piston area x P) - WTM (See page 1) FD =.8-11.77 FD = 49.3 in-lb Since 49.3 is less than FD in Shock bsorber Specifications Chart, proceed. EW = FD x S EW = 49.3 x.75 EW = 3.8 in-lb STEP 4: Calculate total energy. ET = EK + EW ET = 1. + 47. ET = 8.4 in-lb Since 8.4 is less than ET in Shock bsorber Specifications Chart, proceed. STEP 5: Total energy absorbed per hour ETC = ET x C ETC = 8.4 x ETC = 414 in-lb/hr Since 414 is less than ETC in Shock bsorber Specifications Chart, proceed. STEP : Choose proper damping constant for correct shock absorber on Shock bsorber Performance Graphs, page. #57858-1-1 is the correct unit for this application. ET = EK + EW ET = 1. + 3.8 ET = 58 in-lb Since 58 is less than ET in Shock bsorber Specifications Chart, proceed. STEP 5: Total energy absorbed per hour ETC = ET x C ETC = 58 x ETC = 348 in-lb/hr Since 348 is less than ETC in Shock bsorber Specifications Chart, proceed. STEP : Choose proper damping constant for correct shock absorber on Shock bsorber Performance Graphs, page. #57858-1-1 is the correct unit for this application. 4 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. www.phdinc.com/apps/sizing (8) 4-8511