Torsional Stiffness of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
q = Frestoring/θ
This formula uses 3 Variables
Variables Used
Torsional Stiffness - (Measured in Newton per Meter) - torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.
Restoring Force - (Measured in Newton) - Restoring Force is a force which acts to bring a body to its equilibrium position.
Angular Displacement of Shaft - (Measured in Radian) - Angular Displacement of Shaft is movement around an axis, such as the angular motion of the shaft of a motor.
STEP 1: Convert Input(s) to Base Unit
Restoring Force: 65 Newton --> 65 Newton No Conversion Required
Angular Displacement of Shaft: 12 Radian --> 12 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = Frestoring/θ --> 65/12
Evaluating ... ...
q = 5.41666666666667
STEP 3: Convert Result to Output's Unit
5.41666666666667 Newton per Meter --> No Conversion Required
FINAL ANSWER
5.41666666666667 5.416667 Newton per Meter <-- Torsional Stiffness
(Calculation completed in 00.004 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology (IIIT), Guwahati
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13 Natural Frequency of Free Torsional Vibrations Calculators

Natural Frequency of Vibration
Go Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi)
Time Period for Vibrations
Go Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness)
Angular Velocity of Shaft
Go Angular Velocity = sqrt(Torsional Stiffness of Shaft/Mass Moment of Inertia of Disc)
Torsional Stiffness of Shaft given Time Period of Vibration
Go Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2
Moment of Inertia of Disc given Time Period of Vibration
Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)
Moment of Inertia of Disc using Natural Frequency of Vibration
Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Frequency)^2)
Torsional Stiffness of Shaft given Natural Frequency of Vibration
Go Torsional Stiffness = (2*pi*Frequency)^2*Mass Moment of Inertia of Disc
Moment of Inertia of Disc given Angular Velocity
Go Mass Moment of Inertia of Disc = Torsional Stiffness of Shaft/(Angular Velocity^2)
Torsional Stiffness of Shaft given Angular Velocity
Go Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc
Angular Displacement of Shaft from Mean Position
Go Angular Displacement of Shaft = Restoring Force/Torsional Stiffness
Restoring Force for Free Torsional Vibrations
Go Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
Torsional Stiffness of Shaft
Go Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
Accelerating Force
Go Force = Mass Moment of Inertia of Disc*Angular Acceleration

Torsional Stiffness of Shaft Formula

Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
q = Frestoring/θ

What causes torsional vibration?

Torsional vibrations are an example of machinery vibrations and are caused by the superposition of angular oscillations along the whole propulsion shaft system including propeller shaft, engine crankshaft, engine, gearbox, flexible coupling and along the intermediate shafts.

How to Calculate Torsional Stiffness of Shaft?

Torsional Stiffness of Shaft calculator uses Torsional Stiffness = Restoring Force/Angular Displacement of Shaft to calculate the Torsional Stiffness, The Torsional stiffness of shaft formula is defined as the torque required for unit twist. Often described as torque per unit deflection, torsional stiffness is significant in positional systems and describes a coupling's resistance to torsional deflection. Torsional Stiffness is denoted by q symbol.

How to calculate Torsional Stiffness of Shaft using this online calculator? To use this online calculator for Torsional Stiffness of Shaft, enter Restoring Force (Frestoring) & Angular Displacement of Shaft (θ) and hit the calculate button. Here is how the Torsional Stiffness of Shaft calculation can be explained with given input values -> 5.416667 = 65/12.

FAQ

What is Torsional Stiffness of Shaft?
The Torsional stiffness of shaft formula is defined as the torque required for unit twist. Often described as torque per unit deflection, torsional stiffness is significant in positional systems and describes a coupling's resistance to torsional deflection and is represented as q = Frestoring or Torsional Stiffness = Restoring Force/Angular Displacement of Shaft. Restoring Force is a force which acts to bring a body to its equilibrium position & Angular Displacement of Shaft is movement around an axis, such as the angular motion of the shaft of a motor.
How to calculate Torsional Stiffness of Shaft?
The Torsional stiffness of shaft formula is defined as the torque required for unit twist. Often described as torque per unit deflection, torsional stiffness is significant in positional systems and describes a coupling's resistance to torsional deflection is calculated using Torsional Stiffness = Restoring Force/Angular Displacement of Shaft. To calculate Torsional Stiffness of Shaft, you need Restoring Force (Frestoring) & Angular Displacement of Shaft (θ). With our tool, you need to enter the respective value for Restoring Force & Angular Displacement of Shaft 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 Torsional Stiffness?
In this formula, Torsional Stiffness uses Restoring Force & Angular Displacement of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Torsional Stiffness = (2*pi*Frequency)^2*Mass Moment of Inertia of Disc
  • Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2
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