Modulus of Rigidity with Known Torsional Rigidity Calculator

✖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]			+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%

✖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 with Known Torsional Rigidity [G]

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Modulus of Rigidity with Known Torsional Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Torsional Rigidity: 90.3 Kilonewton Square Meter --> 90300 Newton Square Meter (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

G = TJ/J --> 90300/0.0041

Evaluating ... ...

G = 22024390.2439024

STEP 3: Convert Result to Output's Unit

22024390.2439024 Pascal -->0.0220243902439024 Gigapascal (Check conversion here)

FINAL ANSWER

0.0220243902439024 ≈ 0.022024 Gigapascal <-- Modulus of Rigidity SOM

(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

Modulus of Rigidity with Known Torsional Rigidity Formula

LaTeX Go

Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia
G = TJ/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 meter, or in pounds per square inch while torque is expressed in newton-meters 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 Modulus of Rigidity with Known Torsional Rigidity?

Modulus of Rigidity with Known Torsional Rigidity calculator uses Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia to calculate the Modulus of Rigidity SOM, The Modulus of Rigidity with known Torsional Rigidity Formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Modulus of Rigidity SOM is denoted by G symbol.

How to calculate Modulus of Rigidity with Known Torsional Rigidity using this online calculator? To use this online calculator for Modulus of Rigidity with Known Torsional Rigidity, enter Torsional Rigidity (TJ) & Polar Moment of Inertia (J) and hit the calculate button. Here is how the Modulus of Rigidity with Known Torsional Rigidity calculation can be explained with given input values -> 2.2E-11 = 90300/0.0041.

FAQ

What is Modulus of Rigidity with Known Torsional Rigidity?

The Modulus of Rigidity with known Torsional Rigidity Formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain and is represented as G = TJ/J or Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia. 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 & 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 Modulus of Rigidity with Known Torsional Rigidity?

The Modulus of Rigidity with known Torsional Rigidity Formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain is calculated using Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia. To calculate Modulus of Rigidity with Known Torsional Rigidity, you need Torsional Rigidity (TJ) & Polar Moment of Inertia (J). With our tool, you need to enter the respective value for Torsional Rigidity & 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.

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