Angle of Twist for Shaft using Torsional Rigidity 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%
✖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 for Shaft using Torsional Rigidity [θ]

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Formula

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Angle of Twist for Shaft using Torsional Rigidity

Formula

`"θ" = ("T"*"L"_{"shaft"})/"TJ"`

Example

`"1.420155rad"=("28kN*m"*"4.58m")/"90.3kN*m²"`

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Angle of Twist for Shaft using Torsional Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Torsional Rigidity: 90.3 Kilonewton Square Meter --> 90300 Newton Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (T*L_shaft)/TJ --> (28000*4.58)/90300

Evaluating ... ...

θ = 1.42015503875969

STEP 3: Convert Result to Output's Unit

1.42015503875969 Radian --> No Conversion Required

FINAL ANSWER

1.42015503875969 ≈ 1.420155 Radian <-- Angle of Twist

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Angle of Twist for Shaft using Torsional Rigidity Formula

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

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 meter, or in pounds per square inch while torque is expressed in newton meters 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 Angle of Twist for Shaft using Torsional Rigidity?

Angle of Twist for Shaft using Torsional Rigidity calculator uses Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity to calculate 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 calculate Angle of Twist for Shaft using Torsional Rigidity using this online calculator? To use this online calculator 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. Here is how the Angle of Twist for Shaft using Torsional Rigidity calculation can be explained with given input values -> 0.634851 = (28000*4.58)/90300.

FAQ

What is Angle of Twist for Shaft using Torsional Rigidity?

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 and is represented as θ = (T*L_shaft)/TJ or Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity. 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 & 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.

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

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 is calculated using Angle of Twist = (Torque*Length of Shaft)/Torsional Rigidity. To calculate Angle of Twist for Shaft using Torsional Rigidity, you need Torque (T), Length of Shaft (L_shaft) & Torsional Rigidity (TJ). With our tool, you need to enter the respective value for Torque, Length of Shaft & Torsional Rigidity 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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