Lead of Screw given Overall Efficiency Calculator

✖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.ⓘ Torsional Moment on Screw [Mt_t]			+10% -10%
✖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 Screw given Overall Efficiency [L]

⎘ Copy

👎

Formula

✖

Lead of Screw given Overall Efficiency

Formula

L = 2 \cdot π \cdot η \cdot \frac{Mt t}{W a}

Example

11.05769 mm = 2 \cdot π \cdot 0.35 \cdot \frac{658700 N*mm}{131000 N}

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

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*Mt_t/W_a
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*Mt_t/W_a --> 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 00.020 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Lead of Screw given Overall Efficiency

Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Design of Screw and Nut Calculators

Mean Diameter of Power Screw

Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

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*Mt_t/W_a

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 (Mt_t) & Axial load on screw (W_a) 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*Mt_t/W_a 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 (Mt_t) & Axial load on screw (W_a). 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

Home

FREE PDFs

🔍 Search