maximum BEARING CAPACITY FORCE TABLE CYLINDER FORCE CALCULATIONS STATIC moment CHART (800)

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1 sfpslide UNIT 7 4 mximum TRVEL in mm SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL TOLERNCE REPETILITY VELOCITY LURICTION MINTENNCE ORE DImETER EFFECTIVE RE SE WEIGHT in mm in mm lb kg 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 TYPICL DYNmIC LOD lb N NOTE: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. moving SDDLE lb.3.5 kg mximum ERING CPCITY LOD PITCH moment YW moment ROLL moment lb N in-lb Nm in-lb Nm in-lb Nm DIRECTION Extend Retract FORCE TLE SFP7 lb/psi N/bar lb/psi SFP4 N/bar 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 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. (8)

2 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 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. (8)

3 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] [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 lb-in [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.] [54] [58] [7] [11] [7] [154] Impact Velocity in/sec [mm/sec] SFP4 DECELERTION VELOCITY FCTOR [5.8] 1 [5.4] [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 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. (8)

4 SFP SLIDE SHOCK SORER SPECIFICTIONS CHRT 7 4 PRT NO xx xx STROKE in m THRED TYPE M14x1.5 Mx1.5 TOTL ENERGY PER CYCLE (ET) in-lb Nm TOTL ENERGY PER HOUR (ETC) in-lb Nm mx PROPELLING FORCE (FG) lb N RECOVER TImE (TR) sec 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 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 [.] [4.5] [.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 Consult PHD [.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. (8)

5 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. (8)

6 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 = in [3.8 mm] e = c + d = = in [87. mm] Step : Determine Thrust Capacity F = P x F = 87 x.887 = lb [F = x 573 x.1 = 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 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)( )) + ( x ) [CL = 1.4(5.58)(.5 + (.4474(5.8)) + (.48(43.94)( )) + (.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 = in [43.5 mm] e = c + d = =.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 in = lb [F = 7 x 57 mm x.1 = 88 N = 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 = 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. (8)

7 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 = 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 = lb [FD = (573 mm x bar x.1) N = 4.3 N] EW = FD x S Note: Stroke for shock absorber and effective stroke on the cushions are the same. EW = 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. in-lb [ET = = 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 = in [3.8 mm] e = c + d =.948 in [74.88 mm] Step : Determine Thrust Capacity F = P x F = 87 x.887 = lb [F = x 573 x.1 = 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) 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) 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 = = in-lb [ET = = 4.41 Nm] Hydraulic shock absorbers must be used on the upward motion because 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 Kgf = 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( ) +.54(43) ( ) [CL = 1.4(11.93)(.4474( ) +.48(.17) ( ))] CL = lb [17. Kgf] The result of lb [17. Kgf] is less than the maximum allowable of 474 lb [15 Kgf]. Therefore a SFP7 x N unit should be specified. 9 8 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. (8)

8 sfm slide 7 4 mximum TRVEL in mm SPECIFICTIONS OPERTING PRESSURE OPERTING TEMPERTURE TRVEL TOLERNCE REPETILITY VELOCITY LURICTION MINTENNCE ORE DImETER EFFECTIVE RE SE WEIGHT in mm in mm lb kg 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 TYPICL DYNmIC LOD lb N NOTE: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide. moving SDDLE lb kg mximum ERING CPCITY LOD PITCH moment YW moment ROLL moment lb N in-lb Nm in-lb Nm in-lb Nm DIRECTION Extend Retract lb/psi FORCE TLE SFm57 N/bar lb/psi SFm54 N/bar 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 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. (8)

9 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. (8)

10 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 -NN MID-STOP CTUTORS NPx NPx NPx NPx NPx NPx NPx NPx NPx See Productivity Solutions (CT-8) for ordering, dimensional, and options data. (8)

11 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 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) [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 m CONSTNT 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 )) 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. (8)

12 SFM SLIDE SHOCK SORER SPECIFICTIONS CHRT 7 4 PRT NO xx xx STROKE in m THRED TYPE M14x1.5 Mx1.5 TOTL ENERGY PER CYCLE (ET) in-lb Nm TOTL ENERGY PER HOUR (ETC) in-lb Nm mx PROPELLING FORCE (FG) lb N RECOVER TImE (TR) sec 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 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 [.] [4.5] [.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 Consult PHD [.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. (8)

13 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 = ( ) / 57.3 = 4.5 bar] 7 4 THRUST CONSTNT lb/psi N/bar SDDLE WEIGHT lb N 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. (8)

14 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 = in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = = in [e = = 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 = in [4. mm] e = c + d = =.844 in [e = = 7. mm] k = j + m = = 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 = in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = = in [e = = 87. mm] k = j + m = in [ mm] Step : Determine Thrust Capacity F = P x [F =.1 x P x ] F = 87 x.887 = lb [F = x 573 x.1 = 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 = ( ) + ( ) = 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 = = 13. lb [WTM = = 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 = 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 = 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 = in-lb/hr [15977 Nm/hr] Damping Constant = -5 See Productivity Solutions (CT-8) for ordering, dimensional, and options data. (8)

15 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 = in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = = in [e = = 87. mm] k = j + m = in [ mm] CL = 1.4(13.)( () + (.54)(173)(3.448+) + (1.5811)()) = 9.4 lb [CL = 1.4(5.9)(.5 + (.4474)(5.8) + (.48)(43.94)(87.+) + (.8)()) = Kgf] Position Stop ctuator, Stopping in Extend Direction with Saddle Mounted Shock bsorber d =.844 in [1.4 mm] (-NPxx Option) m = in [4. mm] e = c + d = =.844 in [e = = 7. mm] k = j + m = = in [ k = + 4. = 4. mm] CL = 1.4(13.)( () + (.54)(173)( ) + (1.5811)(1.835)) = 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 = in [3.8 mm] (-NTxx Option) m = in [ mm] e = c + d = = in [e = = 87. mm] k = j + m = in [ mm] WTM = = 13. lb [WTM = = 5.9 Kgf] a = 173 in/sec [43.94 m/sec] CL = 1.4(13.)( () + (.54)(173)(3.448+) + (1.5811)()) = 9.4 lb [CL = 1.4(5.9)(.5 + (.4474)(5.8) + (.48)(43.94)(87.+) + (.8)()) = 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 = = 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. (8)

16 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 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 = =.344 in [e = = 59.5 mm] Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] d = in [3.8 mm] (-NTxx Option) e = c + d = =.948 in [e = = 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 = =.344 in [e = = 59.5 mm] Position 4 Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber P = PL = 5 psi [3.9 bar] d = in [3.8 mm] (-NTxx Option) e = c + d = =.948 in [e = = 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 = = 7 lb [WTM = =.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. (8)

17 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 = ( ) + ( ) =.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 = 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 = 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 = = 1873 in-lb/hr [ETC = = 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) = =.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 = = 13 in-lb/hr [ETC = = 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 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. (8)

18 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 = in [148. mm] CL = 1.4(7)(.5 + (1.84)( ) + (.54)(43)( )) = lb [CL = 1.4(.5)(.5 + (.4474)( ) + (.48)(.17) ( ) = 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 = =.344 in [e = = 59.5 mm] m = in [4. mm] k = j + m = = in [k = = 148. mm] Pitch Moment = 4 x.344 = 5.3 in-lb [. Nm] Yaw Moment = 4 x = 14 in-lb [15.8 Nm] Roll Moment = in-lb [ Nm] Position Extend End, Stopping in Extend Direction with Cap Mounted Shock bsorber d = in [3.8 mm] (-NTxx Option) e = c + d = =.948 in [e = = 74.9 mm] m = in [ mm] k = j + m = 4 + = 4 in [k = = 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 = =.344 in [e = = 59.5 mm] m = in [4. mm] k = j + m = = in [k = = 148. mm] Pitch Moment = 4 x.344 = 5.3 in-lb [. Nm] Yaw Moment = 4 x = 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 = in [3.8 mm] (-NTxx Option) e = c + d = =.948 in [e = = 74.9 mm] m = in [ mm] k = j + m = 4 + = 4 in [k = = 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)) = lb [CL = 1.4(.5)(.5 + (.4474)( ) + (.48)(.17) ( ) = 17. Kgf] Position 3 Mid-Stop ctuator, Stopping in Retract Direction with Saddle Mounted Shock bsorber e =.344 in [59.5 mm] k = in [148. mm] CL = 1.4(7)(.5 + (1.84)( ) + (.54)(43)( )) = lb [CL = 1.4(.5)(.5 + (.4474)( ) + (.48)(.17) ( ) = 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)) = lb [CL = 1.4(.5)(.5 + (.4474)( ) + (.48)(.17) ( ) = 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 = = 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. (8)

19 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 TRVEL in mm / / ROD DImETER in mm ORE DImETER EFFECTIVE RE in mm in mm SE WEIGHT lb kg TYPICL DYNmIC LOD lb N NOTES: Thrust capacity, allowable mass and dynamic moment capacity must be considered when selecting a slide mx STTIC LOD lb N 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 TRVEL in mm / / OPTION WEIGHT DDERS -R OR -E -NEx OR -NRx lb kg lb kg mounted CORRECTLY mounted INCORRECTLY USED S GNTRY/SE SLIDE NOT TO E USED S CNTILEVER SLIDE See Productivity Solutions (CT-8) for ordering, dimensional, and options data. (8)

20 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 MOMENT ORIENTTIONS THRUST SPECIFICTIONS SHFT DIMETER in mm ORE DIMETER in mm TOTL EFFECTIVE PISTON RE in mm 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. (8)