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)

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Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft
​ LaTeX ​ Go Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist
Polar Moment of Inertia with Known Torsional Rigidity
​ LaTeX ​ Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM
Modulus of Rigidity with Known Torsional Rigidity
​ LaTeX ​ Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia
Torsional Rigidity
​ LaTeX ​ Go Torsional Rigidity = Modulus of Rigidity SOM*Polar Moment of Inertia

Torsional Rigidity Calculators

Angle of Twist for Shaft using Torsional Rigidity
​ LaTeX ​ Go Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity
Length of Shaft using Torsional Rigidity
​ LaTeX ​ Go Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque
Polar Moment of Inertia with Known Torsional Rigidity
​ LaTeX ​ Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM
Modulus of Rigidity with Known Torsional Rigidity
​ LaTeX ​ Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia

Torsional Rigidity Formula

​LaTeX ​Go
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
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