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Torque on Shaft using Torsional Rigidity Formula

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

T = \frac{TJ \cdot θ}{L shaft}

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

Torque on Shaft using Torsional Rigidity Example

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Here is how the Torque on Shaft using Torsional Rigidity equation looks like with Values.

Here is how the Torque on Shaft using Torsional Rigidity equation looks like with Units.

Here is how the Torque on Shaft using Torsional Rigidity equation looks like.

27.9969 = \frac{90.3 \cdot 1.42}{4.58}

27.9969kN*m = \frac{90.3kN*m² \cdot 1.42rad}{4.58m}

27.9969 = \frac{90.3 \cdot 1.42}{4.58}

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Torque on Shaft using Torsional Rigidity Solution

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

FIRST Step Consider the formula

T = \frac{TJ \cdot θ}{L shaft}

Next Step Substitute values of Variables

∴

T = \frac{90.3kN*m² \cdot 1.42rad}{4.58m}

Next Step Convert Units

∴

T = \frac{90300N*m² \cdot 1.42rad}{4.58m}

Next Step Prepare to Evaluate

∴

T = \frac{90300 \cdot 1.42}{4.58}

Next Step Evaluate

∴

T = 27996.943231441N*m

Next Step Convert to Output's Unit

∴

T = 27.996943231441kN*m

LAST Step Rounding Answer

∴

T = 27.9969kN*m

Torque on Shaft using Torsional Rigidity Formula Elements

Variables

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

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

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

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

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 Torque on Shaft using Torsional Rigidity?

Torque on Shaft using Torsional Rigidity evaluator uses Torque = (Torsional Rigidity*Angle of Twist)/Length of Shaft to evaluate the Torque, The Torque on Shaft using Torsional Rigidity formula is defined as the measure of the force that can cause an object to rotate about an axis. Torque is denoted by T symbol.

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

FAQs on Torque on Shaft using Torsional Rigidity

What is the formula to find Torque on Shaft using Torsional Rigidity?

The formula of Torque on Shaft using Torsional Rigidity is expressed as Torque = (Torsional Rigidity*Angle of Twist)/Length of Shaft. Here is an example- 0.062629 = (90300*1.42)/4.58.

How to calculate Torque on Shaft using Torsional Rigidity?

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

Can the Torque on Shaft using Torsional Rigidity be negative?

Yes, the Torque on Shaft using Torsional Rigidity, measured in Torque can be negative.

Which unit is used to measure Torque on Shaft using Torsional Rigidity?

Torque on Shaft using Torsional Rigidity is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Torque on Shaft using Torsional Rigidity can be measured.

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