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Angle of Twist for Shaft using Torsional Rigidity Formula

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

θ = \frac{T \cdot L shaft}{TJ}

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

Angle of Twist for Shaft using Torsional Rigidity Example

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Here is how the Angle of Twist for Shaft using Torsional Rigidity equation looks like with Values.

Here is how the Angle of Twist for Shaft using Torsional Rigidity equation looks like with Units.

Here is how the Angle of Twist for Shaft using Torsional Rigidity equation looks like.

1.4202 = \frac{28 \cdot 4.58}{90.3}

1.4202rad = \frac{28kN*m \cdot 4.58m}{90.3kN*m²}

1.4202 = \frac{28 \cdot 4.58}{90.3}

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Angle of Twist for Shaft using Torsional Rigidity Solution

Follow our step by step solution on how to calculate Angle of Twist for Shaft using Torsional Rigidity?

FIRST Step Consider the formula

θ = \frac{T \cdot L shaft}{TJ}

Next Step Substitute values of Variables

∴

θ = \frac{28kN*m \cdot 4.58m}{90.3kN*m²}

Next Step Convert Units

∴

θ = \frac{28000N*m \cdot 4.58m}{90300N*m²}

Next Step Prepare to Evaluate

∴

θ = \frac{28000 \cdot 4.58}{90300}

Next Step Evaluate

∴

θ = 1.42015503875969rad

LAST Step Rounding Answer

∴

θ = 1.4202rad

Angle of Twist for Shaft using Torsional Rigidity Formula Elements

Variables

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

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

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

Other formulas in Torsional Rigidity category

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}

Go Torque on Shaft using Torsional Rigidity

T = \frac{TJ \cdot θ}{L shaft}

How to Evaluate Angle of Twist for Shaft using Torsional Rigidity?

Angle of Twist for Shaft using Torsional Rigidity evaluator uses Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity to evaluate the Angle of Twist, The Angle of twist for shaft using torsional rigidity formula is defined as the angle through which fixed end of a shaft rotates with respect to the free end. Angle of Twist is denoted by θ symbol.

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

FAQs on Angle of Twist for Shaft using Torsional Rigidity

What is the formula to find Angle of Twist for Shaft using Torsional Rigidity?

The formula of Angle of Twist for Shaft using Torsional Rigidity is expressed as Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity. Here is an example- 0.634851 = (28000*4.58)/90300.

How to calculate Angle of Twist for Shaft using Torsional Rigidity?

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

Can the Angle of Twist for Shaft using Torsional Rigidity be negative?

Yes, the Angle of Twist for Shaft using Torsional Rigidity, measured in Angle can be negative.

Which unit is used to measure Angle of Twist for Shaft using Torsional Rigidity?

Angle of Twist for Shaft using Torsional Rigidity is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angle of Twist for Shaft using Torsional Rigidity can be measured.

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