Torsional Rigidity Calculator

✖Modulus of Rigidity SOM is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity SOM [G]			+10% -10%
✖Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.ⓘ Polar Moment of Inertia [J]			+10% -10%

✖Torsional Rigidity is defined as how much an object of specified material resists twisting force, also known as torque. It is based on both the material of the object, as well as its shape.ⓘ Torsional Rigidity [TJ]

⎘ Copy

👎

Formula

✖

Torsional Rigidity

Formula

`"TJ" = "G"*"J"`

Example

`"90.2kN*m²"="0.022GPa"*"4.1e-3m⁴"`

Calculator

LaTeX

Reset

👍

Download Torsion of Shafts And Springs Formula PDF

Torsional Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia
TJ = G*J
This formula uses 3 Variables

Variables Used

Torsional Rigidity - (Measured in Newton Square Meter) - Torsional Rigidity is defined as how much an object of specified material resists twisting force, also known as torque. It is based on both the material of the object, as well as its shape.
Modulus of Rigidity SOM - (Measured in Pascal) - Modulus of Rigidity SOM is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Polar Moment of Inertia - (Measured in Meter⁴) - Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity SOM: 0.022 Gigapascal --> 22000000 Pascal (Check conversion here)
Polar Moment of Inertia: 0.0041 Meter⁴ --> 0.0041 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TJ = G*J --> 22000000*0.0041

Evaluating ... ...

TJ = 90200

STEP 3: Convert Result to Output's Unit

90200 Newton Square Meter -->90.2 Kilonewton Square Meter (Check conversion here)

FINAL ANSWER

90.2 Kilonewton Square Meter <-- Torsional Rigidity

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Torsional Rigidity » Torsional Rigidity

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 7 Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft

Go Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist

Angle of Twist for Shaft using Torsional Rigidity

Go Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity

Torque on Shaft using Torsional Rigidity

Go Torque = (Torsional Rigidity*Angle of Twist)/Length of Shaft

Length of Shaft using Torsional Rigidity

Go Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque

Polar Moment of Inertia with Known Torsional Rigidity

Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM

Modulus of Rigidity with Known Torsional Rigidity

Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia

Torsional Rigidity

Go Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia

< 7 Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft

Go Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist

Angle of Twist for Shaft using Torsional Rigidity

Go Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity

Length of Shaft using Torsional Rigidity

Go Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque

Torque on Shaft using Torsional Rigidity

Go Torque = (Torsional Rigidity*Angle of Twist)/Length of Shaft

Polar Moment of Inertia with Known Torsional Rigidity

Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM

Modulus of Rigidity with Known Torsional Rigidity

Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia

Torsional Rigidity

Go Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia

Torsional Rigidity Formula

Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia
TJ = G*J

What is Torsion?

In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal, an SI unit for newtons per square metre, or in pounds per square inch while torque is expressed in newton metres or foot-pound force.

What is Torsional Rigidity?

Torsional rigidity, sometimes referred to as torsional stiffness, is the ability of an object to resist twisting when acted upon by an external force, torque.

How to Calculate Torsional Rigidity?

Torsional Rigidity calculator uses Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia to calculate the Torsional Rigidity, The Torsional Rigidity formula is defined as the minimum force required to deform an object by twisting through a unit dimension. Torsional Rigidity is denoted by TJ symbol.

How to calculate Torsional Rigidity using this online calculator? To use this online calculator for Torsional Rigidity, enter Modulus of Rigidity SOM (G) & Polar Moment of Inertia (J) and hit the calculate button. Here is how the Torsional Rigidity calculation can be explained with given input values -> 0.0902 = 22000000*0.0041.

FAQ

What is Torsional Rigidity?

The Torsional Rigidity formula is defined as the minimum force required to deform an object by twisting through a unit dimension and is represented as TJ = G*J or Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia. Modulus of Rigidity SOM is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G & Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

How to calculate Torsional Rigidity?

The Torsional Rigidity formula is defined as the minimum force required to deform an object by twisting through a unit dimension is calculated using Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia. To calculate Torsional Rigidity, you need Modulus of Rigidity SOM (G) & Polar Moment of Inertia (J). With our tool, you need to enter the respective value for Modulus of Rigidity SOM & Polar Moment of Inertia 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 Rigidity?

In this formula, Torsional Rigidity uses Modulus of Rigidity SOM & Polar Moment of Inertia. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist
Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist

Home

FREE PDFs

🔍 Search