Torsional Stiffness of Shaft Calculator

✖Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.ⓘ Restoring Force [F_r]			+10% -10%
✖Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.ⓘ Angular Displacement of Shaft [θ]			+10% -10%

✖torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.ⓘ Torsional Stiffness of Shaft [q]

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Torsional Stiffness of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
q = F_r/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 the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.
Angular Displacement of Shaft - (Measured in Radian) - Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

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 = F_r/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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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Torsional Stiffness of Shaft

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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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< Natural Frequency of Free Torsional Vibrations Calculators

Moment of Inertia of Disc using Natural Frequency of Vibration

LaTeX Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Natural Frequency)^2)

Torsional Stiffness of Shaft given Natural Frequency of Vibration

LaTeX Go Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc

Torsional Stiffness of Shaft given Time Period of Vibration

LaTeX 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

LaTeX Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)

Torsional Stiffness of Shaft Formula

LaTeX Go

Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
q = F_r/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, Torsional Stiffness of Shaft formula is defined as a measure of the shaft's resistance to twisting or rotational deformation, which is essential in determining the shaft's ability to withstand torsional loads and vibrations in mechanical systems. 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 (F_r) & 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?

Torsional Stiffness of Shaft formula is defined as a measure of the shaft's resistance to twisting or rotational deformation, which is essential in determining the shaft's ability to withstand torsional loads and vibrations in mechanical systems and is represented as q = F_r/θ or Torsional Stiffness = Restoring Force/Angular Displacement of Shaft. Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state & Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

How to calculate Torsional Stiffness of Shaft?

Torsional Stiffness of Shaft formula is defined as a measure of the shaft's resistance to twisting or rotational deformation, which is essential in determining the shaft's ability to withstand torsional loads and vibrations in mechanical systems is calculated using Torsional Stiffness = Restoring Force/Angular Displacement of Shaft. To calculate Torsional Stiffness of Shaft, you need Restoring Force (F_r) & 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*Natural 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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