Torsional Rigidity using Torque and Length of Shaft Calculator

✖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 [L_shaft]			+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%

✖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 using Torque and Length of Shaft [TJ]

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Formula

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Torsional Rigidity using Torque and Length of Shaft

Formula

`"TJ" = ("T"*"L"_{"shaft"})/"θ"`

Example

`"90.30986kN*m²"=("28kN*m"*"4.58m")/"1.42rad"`

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Torsional Rigidity using Torque and Length of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Torque - (Measured in Newton Meter) - Torque is a measure of the force that can cause an object to rotate about an axis.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
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.

STEP 1: Convert Input(s) to Base Unit

Torque: 28 Kilonewton Meter --> 28000 Newton Meter (Check conversion here)
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TJ = (T*L_shaft)/θ --> (28000*4.58)/1.42

Evaluating ... ...

TJ = 90309.8591549296

STEP 3: Convert Result to Output's Unit

90309.8591549296 Newton Square Meter -->90.3098591549296 Kilonewton Square Meter (Check conversion here)

FINAL ANSWER

90.3098591549296 ≈ 90.30986 Kilonewton Square Meter <-- Torsional Rigidity

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 7 Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft

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

Angle of Twist for Shaft using Torsional Rigidity

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

Torque on Shaft using Torsional Rigidity

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

Length of Shaft using Torsional Rigidity

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

Polar Moment of Inertia with Known Torsional Rigidity

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

Modulus of Rigidity with Known Torsional Rigidity

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

Torsional Rigidity

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

< 7 Torsional Rigidity Calculators

Torsional Rigidity using Torque and Length of Shaft

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

Angle of Twist for Shaft using Torsional Rigidity

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

Length of Shaft using Torsional Rigidity

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

Torque on Shaft using Torsional Rigidity

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

Polar Moment of Inertia with Known Torsional Rigidity

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

Modulus of Rigidity with Known Torsional Rigidity

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

Torsional Rigidity

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

Torsional Rigidity using Torque and Length of Shaft Formula

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

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 Torsional Rigidity using Torque and Length of Shaft?

Torsional Rigidity using Torque and Length of Shaft calculator uses Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist to calculate 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 calculate Torsional Rigidity using Torque and Length of Shaft using this online calculator? To use this online calculator 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. Here is how the Torsional Rigidity using Torque and Length of Shaft calculation can be explained with given input values -> 0.09031 = (28000*4.58)/1.42.

FAQ

What is Torsional Rigidity using Torque and Length of Shaft?

Torsional Rigidity using Torque and Length of Shaft is the minimum force required to deform an object by twisting through a unit dimension and is represented as TJ = (T*L_shaft)/θ or Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist. Torque is a measure of the force that can cause an object to rotate about an axis, Length of Shaft is the distance between two ends of shaft & Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

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

Torsional Rigidity using Torque and Length of Shaft is the minimum force required to deform an object by twisting through a unit dimension is calculated using Torsional Rigidity = (Torque*Length of Shaft)/Angle of Twist. To calculate Torsional Rigidity using Torque and Length of Shaft, you need Torque (T), Length of Shaft (L_shaft) & Angle of Twist (θ). With our tool, you need to enter the respective value for Torque, Length of Shaft & Angle of Twist and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torsional Rigidity?

In this formula, Torsional Rigidity uses Torque, Length of Shaft & Angle of Twist. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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