336 TECHNICAL INFORMATION PV Value Graph 10 8 6 5 4 3 2 1 0.8 0.6 0.5 0.4 0.3 0.2 0.5 0.8 1 2 3 4 5 67810 20 30 4050 80 100 Steel (Lubrication) - Brass Steel (No Lubrication) - Plastic Contact Pressure P(N/mm2) Sliding Speed V (m/min) 2Nuts for Lead Screw Specifications Part Number / Type MTS∓∓/ Standard MTSP∓∓/ Compact MTSJR/ Pilot MTSQR/ 4MPUUFE )PMFT .53'3 3P)4 Compliant MTBLR/ Anti-Backlash MTSM∓∓/ Lubrication-Free MTSR∓∓ )JHI Strength Plastic MTSF∓∓/ Plastic Type Allowable Dynamic Thrust (N) 8 1.5 1470 - - - - - - - - 10 2 2550 2020 - - 2550 2600 2550 278 255 12 2 3920 3140 - - 3920 3390 3920 428 392 14 3 4900 3920 4900 4900 4900 - 4900 536 490 16 2 - - 6670 6670 6670 - - - - 3 6670 5340 - - 6670 6290 6670 686 628 18 4 8720 - - - - - - 954 873 20 2 - - - - 10100 - - - - 4 9810 7850 9810 9810 9810 9320 9810 1071 980 22 5 12360 9890 12360 12360 - - 12360 - - 25 5 14220 11380 14220 14220 14220 - 14220 - 1412 28 5 17950 14420 17950 17950 17950 - 17950 - 1765 32 6 21080 16940 21080 21080 21080 - 21080 - 2050 36 6 25780 - - - - - 25780 - - 40 6 33830 - - - - - 33830 - - 50 8 40310 - - - - - - - - 2Lead Screw Technical Calculations Calculate Contact Pressure P and Sliding Speed V. Confirm that the cross point is located inside the lines in PV Graph Determine conditions of use Axial Load, Speed Temporarily select the Lead Screw Nut part number Lead Screw Nut Material Calculate Screw Efficiency K and Load Torque T Use This Tesult For Selecting Motors, etc. NG Lead Screw Nut Selection Procedure In case of using MTSRW16 shaft, pitch 3 and MTSFR16 brass flanged nut when the axial load is 300N as rotational speed at 500min-1. Contact Pressure P (N/mm2) P= x!= x9.8=0.44(N/mm2) Fs Fo 300 6670 Sliding Speed V (m/min) V= x10-3= x10-3=22.8(m/min) π t d2 t n cos(d) πx14.5x500 cos(3°46') When the PV Graph is viewed based on the calculated P and V values, the cross point V=22.8(m/min) when P=0.44(N/mm2) is located inside the line on the PV Graph, thus it can be stated that no abnormal wear will occur. Required Torque when using MTSRW16 shaft , pitch 3, and MTSFR16 brass (flanged nut.) Also, in a case of calculating for the Load Torque T (N t cm) when the axial load is 300N. Screw Efficiency+ += = =0.24 1-μtan(d) 1+μ/tan(d) 1-0.21xtan(3°46') 1+0.21/tan(3°46') Load Torque T (N t cm) T= = =59.7(N t cm) FS t R 2π t + 300x0.3 2πx0.24 Thread Shaft Nut Dynamic Friction Coefficient μ Steel (Lubrication) Brass 0.21 Steel (Non Lubrication) Polyacetal / PPS Resin with Sliding Property 0.13 2Dynamic Friction Coefficient Reference Value Calculate Contact Pressure P and Sliding Velocity V based on conditions of use to check that no abnormal wear will occur. Calculate cross point based on the calculated P and V values in PV Graph. When the cross point is located inside the line or in PV Value Graph, it can be stated that no abnormal wear will occur. Contact Pressure P (N/mm2) P= FS FO x! Fs : Axial Load (N) Fo : Allowable Dynamic Thrust (N) >> Nuts for Lead Screw Specifications The thrust when the contact pressure acting on the screw shaft and nuts is 9.8 (0.98N)/mm2 ! : 9.8 (Brass), 0.98 (Resin) Sliding Speed V (m/min) V= π t d2 t n cos(d) x10-3 d2 : Screw Shaft Effective Dia. >> Nuts for Lead Screw Specifications d : Screw Shaft Lead Angle (Degree) >> Nuts for Lead Screw Specifications n : Screw Shaft Revolution Frequency per Minute (min-1) Screw Efficiency K K= 1-μtan(d) 1+μ/tan(d) μ : Dynamic Friction Coefficient d : Screw Shaft Lead Angle (Degree) Load Torque T (N t cm) T= FS t R 2π t K Fs : Axial Load K : Screw Efficiency R : Lead (cm) Calculation Example Shaft Dia. Pitch Calculation Example Lead Screw Specifications / Technical Calculations
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