Angle of Twist of Shaft Calculator

✖Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.ⓘ Torsional Moment in Shaft [M]			+10% -10%
✖Length of Shaft From Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity.ⓘ Length of Shaft From Torsional Rigidity [L]			+10% -10%
✖Modulus of Rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid is s shaft.ⓘ Modulus of Rigidity of Shaft [G]			+10% -10%
✖Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity.ⓘ Diameter of Shaft From Torsional Rigidity [d]			+10% -10%

✖Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end.ⓘ Angle of Twist of Shaft [θ]

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Angle of Twist of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)
θ = 584*M*L/(G*d^4)
This formula uses 5 Variables

Variables Used

Angle of Twist in Shaft - (Measured in Radian) - Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end.
Torsional Moment in Shaft - (Measured in Newton Meter) - Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.
Length of Shaft From Torsional Rigidity - (Measured in Meter) - Length of Shaft From Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity.
Modulus of Rigidity of Shaft - (Measured in Pascal) - Modulus of Rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid is s shaft.
Diameter of Shaft From Torsional Rigidity - (Measured in Meter) - Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment in Shaft: 330000 Newton Millimeter --> 330 Newton Meter (Check conversion here)
Length of Shaft From Torsional Rigidity: 450 Millimeter --> 0.45 Meter (Check conversion here)
Modulus of Rigidity of Shaft: 90000 Newton per Square Millimeter --> 90000000000 Pascal (Check conversion here)
Diameter of Shaft From Torsional Rigidity: 43.5 Millimeter --> 0.0435 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 584*M*L/(G*d^4) --> 584*330*0.45/(90000000000*0.0435^4)

Evaluating ... ...

θ = 0.269116151488221

STEP 3: Convert Result to Output's Unit

0.269116151488221 Radian -->15.4192196790813 Degree (Check conversion here)

FINAL ANSWER

15.4192196790813 ≈ 15.41922 Degree <-- Angle of Twist in Shaft

(Calculation completed in 00.015 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Torsional Rigidity Calculators

Length of Shaft Subjected to Torsional Moment given Angle of Twist

LaTeX Go Length of Shaft From Torsional Rigidity = Angle of Twist in Shaft*(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)/(584*Torsional Moment in Shaft)

Torsional Moment given Angle of Twist in Shaft

LaTeX Go Torsional Moment in Shaft = Angle of Twist in Shaft*(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)/(Length of Shaft From Torsional Rigidity*584)

Modulus of Rigidity given Angle of Twist

LaTeX Go Modulus of Rigidity of Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Angle of Twist in Shaft*Diameter of Shaft From Torsional Rigidity^4)

Angle of Twist of Shaft

LaTeX Go Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)

Angle of Twist of Shaft Formula

LaTeX Go

Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)
θ = 584*M*L/(G*d^4)

Define Angle of Twist?

For a shaft under torsional loading, the angle through which fixed end of a shaft rotates with respect to the free end is called the angle of twist. As the torque is increased, the outer region of the shaft behaves like a plastic material while the inner core is still linear elastic.

How to Calculate Angle of Twist of Shaft?

Angle of Twist of Shaft calculator uses Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4) to calculate the Angle of Twist in Shaft, Angle of Twist of Shaft formula is defined as a measure of the twisting deformation of a shaft under torque, which is critical in mechanical engineering to ensure the structural integrity of rotating shafts and prevent failure due to torsional stress. Angle of Twist in Shaft is denoted by θ symbol.

How to calculate Angle of Twist of Shaft using this online calculator? To use this online calculator for Angle of Twist of Shaft, enter Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Diameter of Shaft From Torsional Rigidity (d) and hit the calculate button. Here is how the Angle of Twist of Shaft calculation can be explained with given input values -> 883.4562 = 584*330*0.45/(90000000000*0.0435^4).

FAQ

What is Angle of Twist of Shaft?

Angle of Twist of Shaft formula is defined as a measure of the twisting deformation of a shaft under torque, which is critical in mechanical engineering to ensure the structural integrity of rotating shafts and prevent failure due to torsional stress and is represented as θ = 584*M*L/(G*d^4) or Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4). Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist, Length of Shaft From Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity, Modulus of Rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid is s shaft & Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity.

How to calculate Angle of Twist of Shaft?

Angle of Twist of Shaft formula is defined as a measure of the twisting deformation of a shaft under torque, which is critical in mechanical engineering to ensure the structural integrity of rotating shafts and prevent failure due to torsional stress is calculated using Angle of Twist in Shaft = 584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4). To calculate Angle of Twist of Shaft, you need Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Diameter of Shaft From Torsional Rigidity (d). With our tool, you need to enter the respective value for Torsional Moment in Shaft, Length of Shaft From Torsional Rigidity, Modulus of Rigidity of Shaft & Diameter of Shaft From 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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