Length of Shaft using Torsional Rigidity Calculator

✖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.ⓘ Torsional Rigidity [TJ]			+10% -10%
✖Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.ⓘ Angle of Twist [θ]			+10% -10%
✖Torque is a measure of the force that can cause an object to rotate about an axis.ⓘ Torque [T]			+10% -10%

✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft using Torsional Rigidity [L_shaft]

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Length of Shaft using Torsional Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque
L_shaft = (TJ*θ)/T
This formula uses 4 Variables

Variables Used

Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
Torsional Rigidity - (Measured in Newton Square Meter) - 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.
Angle of Twist - (Measured in Radian) - Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.
Torque - (Measured in Newton Meter) - Torque is a measure of the force that can cause an object to rotate about an axis.

STEP 1: Convert Input(s) to Base Unit

Torsional Rigidity: 90.3 Kilonewton Square Meter --> 90300 Newton Square Meter (Check conversion here)
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required
Torque: 28 Kilonewton Meter --> 28000 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_shaft = (TJ*θ)/T --> (90300*1.42)/28000

Evaluating ... ...

L_shaft = 4.5795

STEP 3: Convert Result to Output's Unit

4.5795 Meter --> No Conversion Required

FINAL ANSWER

4.5795 Meter <-- Length of Shaft

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft

LaTeX Go Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist

Polar Moment of Inertia with Known Torsional Rigidity

LaTeX Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM

Modulus of Rigidity with Known Torsional Rigidity

LaTeX Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia

Torsional Rigidity

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

< Torsional Rigidity Calculators

Angle of Twist for Shaft using Torsional Rigidity

LaTeX Go Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity

Length of Shaft using Torsional Rigidity

LaTeX Go Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque

Polar Moment of Inertia with Known Torsional Rigidity

LaTeX Go Polar Moment of Inertia = Torsional Rigidity/Modulus of Rigidity SOM

Modulus of Rigidity with Known Torsional Rigidity

LaTeX Go Modulus of Rigidity SOM = Torsional Rigidity/Polar Moment of Inertia

Length of Shaft using Torsional Rigidity Formula

LaTeX Go

Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque
L_shaft = (TJ*θ)/T

What is Torsion?

In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal, an SI unit for newtons per square metre, or in pounds per square inch while torque is expressed in newton metres or foot-pound force.

What is Torsional Rigidity?

Torsional rigidity, sometimes referred to as torsional stiffness, is the ability of an object to resist twisting when acted upon by an external force, torque.

How to Calculate Length of Shaft using Torsional Rigidity?

Length of Shaft using Torsional Rigidity calculator uses Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque to calculate 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 calculate Length of Shaft using Torsional Rigidity using this online calculator? To use this online calculator for Length of Shaft using Torsional Rigidity, enter Torsional Rigidity (TJ), Angle of Twist (θ) & Torque (T) and hit the calculate button. Here is how the Length of Shaft using Torsional Rigidity calculation can be explained with given input values -> 10.24429 = (90300*1.42)/28000.

FAQ

What is Length of Shaft using Torsional Rigidity?

The Length of Shaft using Torsional Rigidity formula is defined as the measurement or extent of something from end to end and is represented as L_shaft = (TJ*θ)/T or Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque. 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, Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end & Torque is a measure of the force that can cause an object to rotate about an axis.

How to calculate Length of Shaft using Torsional Rigidity?

The Length of Shaft using Torsional Rigidity formula is defined as the measurement or extent of something from end to end is calculated using Length of Shaft = (Torsional Rigidity*Angle of Twist)/Torque. To calculate Length of Shaft using Torsional Rigidity, you need Torsional Rigidity (TJ), Angle of Twist (θ) & Torque (T). With our tool, you need to enter the respective value for Torsional Rigidity, Angle of Twist & Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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