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Torsional Rigidity using Torque and Length of Shaft Formula

GoTorsional Rigidity Formula

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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. Check FAQs

TJ = \frac{T \cdot L shaft}{θ}

TJ - Torsional Rigidity?T - Torque?L_shaft - Length of Shaft?θ - Angle of Twist?

Torsional Rigidity using Torque and Length of Shaft Example

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Here is how the Torsional Rigidity using Torque and Length of Shaft equation looks like with Values.

Here is how the Torsional Rigidity using Torque and Length of Shaft equation looks like with Units.

Here is how the Torsional Rigidity using Torque and Length of Shaft equation looks like.

90.3099 = \frac{28 \cdot 4.58}{1.42}

90.3099kN*m² = \frac{28kN*m \cdot 4.58m}{1.42rad}

90.3099 = \frac{28 \cdot 4.58}{1.42}

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Torsional Rigidity using Torque and Length of Shaft Solution

Follow our step by step solution on how to calculate Torsional Rigidity using Torque and Length of Shaft?

FIRST Step Consider the formula

TJ = \frac{T \cdot L shaft}{θ}

Next Step Substitute values of Variables

∴

TJ = \frac{28kN*m \cdot 4.58m}{1.42rad}

Next Step Convert Units

∴

TJ = \frac{28000N*m \cdot 4.58m}{1.42rad}

Next Step Prepare to Evaluate

∴

TJ = \frac{28000 \cdot 4.58}{1.42}

Next Step Evaluate

∴

TJ = 90309.8591549296N*m²

Next Step Convert to Output's Unit

∴

TJ = 90.3098591549296kN*m²

LAST Step Rounding Answer

∴

TJ = 90.3099kN*m²

Torsional Rigidity using Torque and Length of Shaft Formula Elements

Variables

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

Torque

Torque is a measure of the force that can cause an object to rotate about an axis.

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Torque

Length of Shaft

Length of Shaft is the distance between two ends of shaft.

Symbol: L_shaft

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Shaft

Angle of Twist

Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Twist

Other Formulas to find Torsional Rigidity

Go Torsional Rigidity

TJ = G \cdot J

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 Modulus of Rigidity with Known Torsional Rigidity

G = \frac{TJ}{J}

Go Polar Moment of Inertia with Known Torsional Rigidity

J = \frac{TJ}{G}

How to Evaluate Torsional Rigidity using Torque and Length of Shaft?

Torsional Rigidity using Torque and Length of Shaft evaluator uses Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist to evaluate the Torsional Rigidity, Torsional Rigidity using Torque and Length of Shaft is the minimum force required to deform an object by twisting through a unit dimension. Torsional Rigidity is denoted by TJ symbol.

How to evaluate Torsional Rigidity using Torque and Length of Shaft using this online evaluator? To use this online evaluator for Torsional Rigidity using Torque and Length of Shaft, enter Torque (T), Length of Shaft (L_shaft) & Angle of Twist (θ) and hit the calculate button.

FAQs on Torsional Rigidity using Torque and Length of Shaft

What is the formula to find Torsional Rigidity using Torque and Length of Shaft?

The formula of Torsional Rigidity using Torque and Length of Shaft is expressed as Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist. Here is an example- 0.09031 = (28000*4.58)/1.42.

How to calculate Torsional Rigidity using Torque and Length of Shaft?

With Torque (T), Length of Shaft (L_shaft) & Angle of Twist (θ) we can find Torsional Rigidity using Torque and Length of Shaft using the formula - Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist.

What are the other ways to Calculate Torsional Rigidity?

Here are the different ways to Calculate Torsional Rigidity-

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

Can the Torsional Rigidity using Torque and Length of Shaft be negative?

Yes, the Torsional Rigidity using Torque and Length of Shaft, measured in Torsional Rigidity can be negative.

Which unit is used to measure Torsional Rigidity using Torque and Length of Shaft?

Torsional Rigidity using Torque and Length of Shaft is usually measured using the Kilonewton Square Meter[kN*m²] for Torsional Rigidity. Newton Square Meter[kN*m²] are the few other units in which Torsional Rigidity using Torque and Length of Shaft can be measured.

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