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 = Wa*L/(2*pi*Mtt)
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 = Wa*L/(2*pi*Mtt) --> 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)

Credits

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

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 = Wa*L/(2*pi*Mtt)

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 (Wa), Lead of Power Screw (L) & Torsional Moment on Screw (Mtt) 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 = Wa*L/(2*pi*Mtt) 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 (Wa), Lead of Power Screw (L) & Torsional Moment on Screw (Mtt). 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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