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Length of Shaft using Torsional Rigidity Formula

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

L shaft = \frac{TJ \cdot θ}{T}

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

Length of Shaft using Torsional Rigidity Example

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

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

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

4.5795 = \frac{90.3 \cdot 1.42}{28}

4.5795m = \frac{90.3kN*m² \cdot 1.42rad}{28kN*m}

4.5795 = \frac{90.3 \cdot 1.42}{28}

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Length of Shaft using Torsional Rigidity Solution

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

FIRST Step Consider the formula

L shaft = \frac{TJ \cdot θ}{T}

Next Step Substitute values of Variables

∴

L shaft = \frac{90.3kN*m² \cdot 1.42rad}{28kN*m}

Next Step Convert Units

∴

L shaft = \frac{90300N*m² \cdot 1.42rad}{28000N*m}

Next Step Prepare to Evaluate

∴

L shaft = \frac{90300 \cdot 1.42}{28000}

LAST Step Evaluate

∴

L shaft = 4.5795m

Length of Shaft using Torsional Rigidity Formula Elements

Variables

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

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

Other formulas in Torsional Rigidity category

Go Angle of Twist for Shaft using Torsional Rigidity

θ = \frac{T \cdot L shaft}{TJ}

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 Length of Shaft using Torsional Rigidity?

Length of Shaft using Torsional Rigidity evaluator uses Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque to evaluate the Length of Shaft, The Length of Shaft using Torsional Rigidity formula is defined as the measurement or extent of something from end to end. Length of Shaft is denoted by L_shaft symbol.

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

FAQs on Length of Shaft using Torsional Rigidity

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

The formula of Length of Shaft using Torsional Rigidity is expressed as Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque. Here is an example- 10.24429 = (90300*1.42)/28000.

How to calculate Length of Shaft using Torsional Rigidity?

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

Can the Length of Shaft using Torsional Rigidity be negative?

No, the Length of Shaft using Torsional Rigidity, measured in Length cannot be negative.

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

Length of Shaft using Torsional Rigidity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Shaft using Torsional Rigidity can be measured.

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