External Torque required to raise Load given Efficiency Calculator

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial load on screw [W_a]			+10% -10%
✖Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.ⓘ Lead of Power Screw [L]			+10% -10%
✖Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.ⓘ Efficiency of power screw [η]			+10% -10%

✖Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.ⓘ External Torque required to raise Load given Efficiency [Mt_t]

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External Torque required to raise Load given Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)
Mt_t = W_a*L/(2*pi*η)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Moment on Screw - (Measured in Newton Meter) - Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
Lead of Power Screw - (Measured in Meter) - Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.
Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

STEP 1: Convert Input(s) to Base Unit

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
Lead of Power Screw: 11 Millimeter --> 0.011 Meter (Check conversion here)
Efficiency of power screw: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_t = W_a*L/(2*pi*η) --> 131000*0.011/(2*pi*0.35)

Evaluating ... ...

Mt_t = 655.263637129775

STEP 3: Convert Result to Output's Unit

655.263637129775 Newton Meter -->655263.637129775 Newton Millimeter (Check conversion here)

FINAL ANSWER

655263.637129775 ≈ 655263.6 Newton Millimeter <-- Torsional Moment on Screw

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lifting Load using Square Threaded Screw » External Torque required to raise Load given Efficiency

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Effort Required to Lift Load

Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))

Helix Angle of Power Screw given Effort Required to Lift Load

Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread)/(Effort in lifting load*Coefficient of friction at screw thread+Load on screw))

Load on Power Screw given Effort Required to Lift Load

Go Load on screw = Effort in lifting load/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Effort Required in Lifting load using Power Screw

Go Effort in lifting load = Load on screw*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

External Torque required to raise Load given Efficiency Formula

Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)
Mt_t = W_a*L/(2*pi*η)

Overall Efficiency of Screw

The Efficiency of a Screw refers to how well a screw converts rotary energy (torque) into linear motion. Lead screw efficiency is a pure calculated value and is calculated fro one revolution of Screw at a time.

How to Calculate External Torque required to raise Load given Efficiency?

External Torque required to raise Load given Efficiency calculator uses Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw) to calculate the Torsional Moment on Screw, External Torque required to raise Load given Efficiency is the measure of torque to be applied for tightening a screw/bolt to get the desired Work Output. Torsional Moment on Screw is denoted by Mt_t symbol.

How to calculate External Torque required to raise Load given Efficiency using this online calculator? To use this online calculator for External Torque required to raise Load given Efficiency, enter Axial load on screw (W_a), Lead of Power Screw (L) & Efficiency of power screw (η) and hit the calculate button. Here is how the External Torque required to raise Load given Efficiency calculation can be explained with given input values -> 6.6E+8 = 131000*0.011/(2*pi*0.35).

FAQ

What is External Torque required to raise Load given Efficiency?

External Torque required to raise Load given Efficiency is the measure of torque to be applied for tightening a screw/bolt to get the desired Work Output and is represented as Mt_t = W_a*L/(2*pi*η) or Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw). Axial load on screw is the instantaneous load applied to the screw along its axis, Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified & Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

How to calculate External Torque required to raise Load given Efficiency?

External Torque required to raise Load given Efficiency is the measure of torque to be applied for tightening a screw/bolt to get the desired Work Output is calculated using Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw). To calculate External Torque required to raise Load given Efficiency, you need Axial load on screw (W_a), Lead of Power Screw (L) & Efficiency of power screw (η). With our tool, you need to enter the respective value for Axial load on screw, Lead of Power Screw & Efficiency of power screw and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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