FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Modulus of Rigidity with Known Torsional Rigidity Formula

Fx Copy

LaTeX Copy

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. Check FAQs

G = \frac{TJ}{J}

G - Modulus of Rigidity SOM?TJ - Torsional Rigidity?J - Polar Moment of Inertia?

Modulus of Rigidity with Known Torsional Rigidity Example

With values

With units

Only example

Here is how the Modulus of Rigidity with Known Torsional Rigidity equation looks like with Values.

Here is how the Modulus of Rigidity with Known Torsional Rigidity equation looks like with Units.

Here is how the Modulus of Rigidity with Known Torsional Rigidity equation looks like.

0.022 = \frac{90.3}{0.0041}

0.022GPa = \frac{90.3kN*m²}{0.0041m⁴}

0.022 = \frac{90.3}{0.0041}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Modulus of Rigidity with Known Torsional Rigidity

Modulus of Rigidity with Known Torsional Rigidity Solution

Follow our step by step solution on how to calculate Modulus of Rigidity with Known Torsional Rigidity?

FIRST Step Consider the formula

G = \frac{TJ}{J}

Next Step Substitute values of Variables

∴

G = \frac{90.3kN*m²}{0.0041m⁴}

Next Step Convert Units

∴

G = \frac{90300N*m²}{0.0041m⁴}

Next Step Prepare to Evaluate

∴

G = \frac{90300}{0.0041}

Next Step Evaluate

∴

G = 22024390.2439024Pa

Next Step Convert to Output's Unit

∴

G = 0.0220243902439024GPa

LAST Step Rounding Answer

∴

G = 0.022GPa

Modulus of Rigidity with Known Torsional Rigidity Formula Elements

Variables

Modulus of Rigidity SOM

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.

Symbol: G

Measurement: PressureUnit: GPa

Note: Value can be positive or negative.

Formulas to find Modulus of Rigidity SOM

Torsional Rigidity

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.

Symbol: TJ

Measurement: Torsional RigidityUnit: kN*m²

Note: Value can be positive or negative.

Formulas to find Torsional Rigidity

Polar Moment of Inertia

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.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

Other formulas in Torsional Rigidity category

Go Angle of Twist for Shaft using Torsional Rigidity

θ = \frac{T \cdot L shaft}{TJ}

Go Length of Shaft using Torsional Rigidity

L shaft = \frac{TJ \cdot θ}{T}

Go Polar Moment of Inertia with Known Torsional Rigidity

J = \frac{TJ}{G}

Go Torque on Shaft using Torsional Rigidity

T = \frac{TJ \cdot θ}{L shaft}

How to Evaluate Modulus of Rigidity with Known Torsional Rigidity?

Modulus of Rigidity with Known Torsional Rigidity evaluator uses Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia to evaluate 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 evaluate Modulus of Rigidity with Known Torsional Rigidity using this online evaluator? To use this online evaluator for Modulus of Rigidity with Known Torsional Rigidity, enter Torsional Rigidity (TJ) & Polar Moment of Inertia (J) and hit the calculate button.

FAQs on Modulus of Rigidity with Known Torsional Rigidity

What is the formula to find Modulus of Rigidity with Known Torsional Rigidity?

The formula of Modulus of Rigidity with Known Torsional Rigidity is expressed as Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia. Here is an example- 2.2E-11 = 90300/0.0041.

How to calculate Modulus of Rigidity with Known Torsional Rigidity?

With Torsional Rigidity (TJ) & Polar Moment of Inertia (J) we can find Modulus of Rigidity with Known Torsional Rigidity using the formula - Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia.

Can the Modulus of Rigidity with Known Torsional Rigidity be negative?

Yes, the Modulus of Rigidity with Known Torsional Rigidity, measured in Pressure can be negative.

Which unit is used to measure Modulus of Rigidity with Known Torsional Rigidity?

Modulus of Rigidity with Known Torsional Rigidity is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Modulus of Rigidity with Known Torsional Rigidity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!