Lead of Screw given Overall Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw
L = 2*pi*η*Mtt/Wa
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Efficiency of power screw: 0.35 --> No Conversion Required
Torsional Moment on Screw: 658700 Newton Millimeter --> 658.7 Newton Meter (Check conversion here)
Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = 2*pi*η*Mtt/Wa --> 2*pi*0.35*658.7/131000
Evaluating ... ...
L = 0.0110576866919368
STEP 3: Convert Result to Output's Unit
0.0110576866919368 Meter -->11.0576866919368 Millimeter (Check conversion here)
FINAL ANSWER
11.0576866919368 11.05769 Millimeter <-- Lead of Power Screw
(Calculation completed in 00.004 seconds)

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25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Unit Bearing Pressure
Go Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)
Core Diameter of Screw given Unit Bearing Pressure
Go Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads)))
Number of Threads in Engagement with Nut given Unit Bearing Pressure
Go Number of Engaged Threads = 4*Axial load on screw/((pi*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))))
Unit Bearing Pressure for Thread
Go Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2)))
Axial Load on Screw given Unit Bearing Pressure
Go Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut
Go Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness)
Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut
Go Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut)
Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut
Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)
Transverse Shear Stress at Root of Nut
Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)
Thread Thickness at Core Diameter of Screw given Transverse Shear Stress
Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)
Number of Threads in Engagement with Nut given Transverse Shear Stress
Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)
Core Diameter of Screw given Transverse Shear Stress in Screw
Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)
Axial Load on Screw given Transverse Shear Stress
Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
Transverse Shear Stress in Screw
Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
Axial Load on Screw given Transverse Shear Stress at Root of Nut
Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads
Core Diameter of Screw given Direct Compressive Stress
Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))
Bearing Area between Screw and Nut for One Thread
Go Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
Core Diameter of Screw given Torsional Shear Stress
Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)
Torsional Shear Stress of Screw
Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))
Torsional Moment in Screw given Torsional Shear Stress
Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16
Direct Compressive Stress in Screw
Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)
Axial Load on Screw given Direct Compressive Stress
Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
Nominal Diameter of Power Screw
Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread
Core Diameter of Power Screw
Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread
Pitch of Power Screw
Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Lead of Screw given Overall Efficiency Formula

Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw
L = 2*pi*η*Mtt/Wa

Lead and Pitch of the Screw

Pitch – The axial distance between the screw threads.
Lead – The axial distance traveled by the thread during the 360° revolution of the screw or nut.
Lead = Pitch X No. of Starts
The smaller the lead, the higher the mechanical advantage.

How to Calculate Lead of Screw given Overall Efficiency?

Lead of Screw given Overall Efficiency calculator uses Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw to calculate the Lead of Power Screw, The Lead of Screw given Overall Efficiency is defined as the distance measured parallel to the axis of the screw which the nut will advance in one revolution of the screw. Lead of Power Screw is denoted by L symbol.

How to calculate Lead of Screw given Overall Efficiency using this online calculator? To use this online calculator for Lead of Screw given Overall Efficiency, enter Efficiency of power screw (η), Torsional Moment on Screw (Mtt) & Axial load on screw (Wa) and hit the calculate button. Here is how the Lead of Screw given Overall Efficiency calculation can be explained with given input values -> 11057.69 = 2*pi*0.35*658.7/131000.

FAQ

What is Lead of Screw given Overall Efficiency?
The Lead of Screw given Overall Efficiency is defined as the distance measured parallel to the axis of the screw which the nut will advance in one revolution of the screw and is represented as L = 2*pi*η*Mtt/Wa or Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw. Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion, Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body & Axial load on screw is the instantaneous load applied to the screw along its axis.
How to calculate Lead of Screw given Overall Efficiency?
The Lead of Screw given Overall Efficiency is defined as the distance measured parallel to the axis of the screw which the nut will advance in one revolution of the screw is calculated using Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw. To calculate Lead of Screw given Overall Efficiency, you need Efficiency of power screw (η), Torsional Moment on Screw (Mtt) & Axial load on screw (Wa). With our tool, you need to enter the respective value for Efficiency of power screw, Torsional Moment on Screw & Axial load on screw and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Lead of Power Screw?
In this formula, Lead of Power Screw uses Efficiency of power screw, Torsional Moment on Screw & Axial load on screw. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw
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