Load on Screw given Overall Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw
Wa = 2*pi*Mtt*η/L
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
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.
Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.
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.
STEP 1: Convert Input(s) to Base Unit
Torsional Moment on Screw: 658700 Newton Millimeter --> 658.7 Newton Meter (Check conversion here)
Efficiency of power screw: 0.35 --> No Conversion Required
Lead of Power Screw: 11 Millimeter --> 0.011 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wa = 2*pi*Mtt*η/L --> 2*pi*658.7*0.35/0.011
Evaluating ... ...
Wa = 131686.99605852
STEP 3: Convert Result to Output's Unit
131686.99605852 Newton --> No Conversion Required
FINAL ANSWER
131686.99605852 131687 Newton <-- Axial load on 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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16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load
Go Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))
Helix Angle of Power Screw given Torque Required to Lift Load
Go Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw))
Load on Power Screw given Torque Required to Lift Load
Go Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw)))
Torque Required to Lift Load given Load
Go Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Efficiency of Square Threaded Power Screw
Go Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw
Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)
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)))
Maximum Efficiency of Square Threaded Screw
Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))
External Torque required to raise Load given Efficiency
Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)
Load on Screw given Overall Efficiency
Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw
Effort Required to Lift Load given Torque Required to Lift Load
Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw
Mean Diameter of Power Screw given Torque Required to Lift Load
Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load
Torque Required to Lift Load given Effort
Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Load on Screw given Overall Efficiency Formula

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

Axial Load and Overall Efficiency

Input work can be mathematically expressed as the product of Axial load and Lead of the Screw. Since the Overall Efficiency of any Screw-Nut Pair is constant, an increase in Axial load implies an increase in input and output work, Thus making a requirement for a bigger External Torque to rotate the screw.

How to Calculate Load on Screw given Overall Efficiency?

Load on Screw given Overall Efficiency calculator uses Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw to calculate the Axial load on screw, Load on Screw given Overall Efficiency is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw. Axial load on screw is denoted by Wa symbol.

How to calculate Load on Screw given Overall Efficiency using this online calculator? To use this online calculator for Load on Screw given Overall Efficiency, enter Torsional Moment on Screw (Mtt), Efficiency of power screw (η) & Lead of Power Screw (L) and hit the calculate button. Here is how the Load on Screw given Overall Efficiency calculation can be explained with given input values -> 131687 = 2*pi*658.7*0.35/0.011.

FAQ

What is Load on Screw given Overall Efficiency?
Load on Screw given Overall Efficiency is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw and is represented as Wa = 2*pi*Mtt*η/L or Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw. Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body, Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion & Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.
How to calculate Load on Screw given Overall Efficiency?
Load on Screw given Overall Efficiency is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw is calculated using Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw. To calculate Load on Screw given Overall Efficiency, you need Torsional Moment on Screw (Mtt), Efficiency of power screw (η) & Lead of Power Screw (L). With our tool, you need to enter the respective value for Torsional Moment on Screw, Efficiency of power screw & Lead 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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