Overall Efficiency of Power Screw 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%
✖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%

✖Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.ⓘ Overall Efficiency of Power Screw [η]

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Formula

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Overall Efficiency of Power Screw

Formula

`"η" = "W"_{"a"}*"L"/(2*pi*"Mt"_{"t"})`

Example

`"0.348174"="131000N"*"11mm"/(2*pi*"658700N*mm")`

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Overall Efficiency of Power Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.
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.
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.

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)
Torsional Moment on Screw: 658700 Newton Millimeter --> 658.7 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = W_a*L/(2*pi*Mt_t) --> 131000*0.011/(2*pi*658.7)

Evaluating ... ...

η = 0.348174089867043

STEP 3: Convert Result to Output's Unit

0.348174089867043 --> No Conversion Required

FINAL ANSWER

0.348174089867043 ≈ 0.348174 <-- Efficiency of power screw

(Calculation completed in 00.004 seconds)

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

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Created by Kumar Siddhant

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

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Osmania University (OU), Hyderabad

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< 25 Design of Screw and Nut Calculators

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

Overall Efficiency of Power Screw

Go Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw)

Lead of Screw given Overall Efficiency

Go Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

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 given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

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

Overall Efficiency of Power Screw Formula

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

Input Work and Output Work of Power Screw

Work Output in screw-nut pair is the work done in raising/lowering the axial load while the screw is in mid-way penetration.
Input Work in screw-nut pair is the energy required to rotate the screw by 360° while the screw is in mid-way penetration.

How to Calculate Overall Efficiency of Power Screw?

Overall Efficiency of Power Screw calculator uses Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw) to calculate the Efficiency of power screw, The Overall Efficiency of Power Screw is defined as the ratio of the total resulting output work to the total input work done on the screw. It is calculated for one complete revolution of the screw. Efficiency of power screw is denoted by η symbol.

How to calculate Overall Efficiency of Power Screw using this online calculator? To use this online calculator for Overall Efficiency of Power Screw, enter Axial load on screw (W_a), Lead of Power Screw (L) & Torsional Moment on Screw (Mt_t) and hit the calculate button. Here is how the Overall Efficiency of Power Screw calculation can be explained with given input values -> 0.348174 = 131000*0.011/(2*pi*658.7).

FAQ

What is Overall Efficiency of Power Screw?

The Overall Efficiency of Power Screw is defined as the ratio of the total resulting output work to the total input work done on the screw. It is calculated for one complete revolution of the screw and is represented as η = W_a*L/(2*pi*Mt_t) or Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on 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 & Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.

How to calculate Overall Efficiency of Power Screw?

The Overall Efficiency of Power Screw is defined as the ratio of the total resulting output work to the total input work done on the screw. It is calculated for one complete revolution of the screw is calculated using Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw). To calculate Overall Efficiency of Power Screw, you need Axial load on screw (W_a), Lead of Power Screw (L) & Torsional Moment on Screw (Mt_t). With our tool, you need to enter the respective value for Axial load on screw, Lead of Power Screw & Torsional Moment on 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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