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Power Screw Collar Bearing Friction Torque & Efficiency Calculator

Power screws convert rotational torque into linear thrust forces in mechanical jacks, lathe lead screws, CNC linear actuators, and heavy material test presses.

Total axial compressive or tensile load carried by screw shaft.

Average pitch diameter d_m = (d + d_r) / 2.

Axial advance per 360° turn l = p · n (pitch × starts).

Friction coefficient between nut and screw threads (0.10 - 0.20 lubricated).

Friction coefficient at collar thrust bearing (0.005 for rolling bearings, 0.12 for plain washers).

Mean effective diameter of collar friction washer d_c = (D_o + D_i) / 2.

Calculated Result
109.26 N·m

Total Lifting Torque

Thread Driving Torque

55.26 N·m

Collar Friction Torque

54 N·m

Overall Efficiency

13.1%

Collar Share of Torque

49.4%

Calculation Breakdown

  1. Thread Helical Friction TorqueT_thread = (F·d_m/2) · [(tan λ + μ) / (1 - μ·tan λ)] = 55.26 N·m
  2. Collar Bearing Thrust TorqueT_collar = 0.5 · F · μ_c · D_c = 0.5 · 15000 · 0.12 · 60 mm = 54 N·m
  3. Total Actuation Torque & Drive EfficiencyT_total = 55.26 + 54 = 109.26 N·m; η = 13.1%

Power Screw Torque Allocation

Interactive visualization based on your current inputs

Value
0.0275482109Thread TorqueCollar TorqueTotal InputComponentTorque (N·m)

What Is the Power Screw Collar Bearing Friction Torque & Efficiency Calculator?

Power screws convert rotational torque into linear thrust forces in mechanical jacks, lathe lead screws, CNC linear actuators, and heavy material test presses.

A substantial fraction of applied actuator torque is dissipated not only across helical screw threads, but also within the thrust collar or axial bearing that supports axial load.

This calculator accounts for lead angle, thread flank friction, collar mean diameter, and thrust bearing friction to evaluate overall mechanical drive efficiency.

How Does the Power Screw Collar Bearing Friction Torque & Efficiency Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Power Screw Collar Bearing Friction Torque & Efficiency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

T_{total} = \frac{F d_m}{2} \left[ \frac{l + \pi f d_m}{\pi d_m - f l} \right] + \frac{F f_c d_c}{2}, \quad \eta = \frac{F l}{2 \pi T_{total}}

Classical mechanics equilibrium for inclined thread planes combined with axial thrust collar friction.

How to Use the Power Screw Collar Bearing Friction Torque & Efficiency Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

15 kN Screw Press Actuator (dm = 36mm, lead = 6mm, dc = 60mm)

Input Values:

axialAxialLoadN:15000
screwMeanDiameterMm:36
screwLeadMm:6
threadFrictionCoefficient:0.15
collarFrictionCoefficient:0.12
collarMeanDiameterMm:60
Worked Steps: Requires 54.9 N·m thread torque + 54.0 N·m collar torque = 108.9 N·m total, achieving 13.1% efficiency and self-locking safety.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Thread Torque to Raise Load: T_R = (F · d_m / 2) · [ (l + π·f·d_m) / (π·d_m - f·l) ].
  • Collar Friction Torque: T_c = F · f_c · (d_c / 2).
  • Total Input Torque: T_total = T_R + T_c.
  • Overall Mechanical Efficiency: η = (F · l) / (2 · π · T_total).
  • Self-Locking Condition: Thread lead angle λ < friction angle φ (i.e. l < π·d_m·f).

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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