Shaft Diameter given Angle of Twist in 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%
✖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 in Shaft [θ]			+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.ⓘ Shaft Diameter given Angle of Twist in Shaft [d]

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Shaft Diameter given Angle of Twist in Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4)
d = (584*M*L/(G*θ))^(1/4)
This formula uses 5 Variables

Variables Used

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.
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.
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.

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)
Angle of Twist in Shaft: 15.41922 Degree --> 0.269116157089309 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (584*M*L/(G*θ))^(1/4) --> (584*330*0.45/(90000000000*0.269116157089309))^(1/4)

Evaluating ... ...

d = 0.0434999997736597

STEP 3: Convert Result to Output's Unit

0.0434999997736597 Meter -->43.4999997736597 Millimeter (Check conversion here)

FINAL ANSWER

43.4999997736597 ≈ 43.5 Millimeter <-- Diameter of Shaft From Torsional Rigidity

(Calculation completed in 00.004 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)

Shaft Diameter given Angle of Twist in Shaft Formula

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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 Shaft Diameter given Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft calculator uses Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4) to calculate the Diameter of Shaft From Torsional Rigidity, Shaft Diameter given Angle of Twist in Shaft formula is defined as a measure of the diameter of a shaft that is subjected to torsional rigidity, which is a critical parameter in mechanical engineering, particularly in the design of shafts and axles in machines and mechanisms. Diameter of Shaft From Torsional Rigidity is denoted by d symbol.

How to calculate Shaft Diameter given Angle of Twist in Shaft using this online calculator? To use this online calculator for Shaft Diameter given Angle of Twist in Shaft, enter Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Angle of Twist in Shaft (θ) and hit the calculate button. Here is how the Shaft Diameter given Angle of Twist in Shaft calculation can be explained with given input values -> 43500 = (584*330*0.45/(90000000000*0.269116157089309))^(1/4).

FAQ

What is Shaft Diameter given Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft formula is defined as a measure of the diameter of a shaft that is subjected to torsional rigidity, which is a critical parameter in mechanical engineering, particularly in the design of shafts and axles in machines and mechanisms and is represented as d = (584*M*L/(G*θ))^(1/4) or Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4). 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 & Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end.

How to calculate Shaft Diameter given Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft formula is defined as a measure of the diameter of a shaft that is subjected to torsional rigidity, which is a critical parameter in mechanical engineering, particularly in the design of shafts and axles in machines and mechanisms is calculated using Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4). To calculate Shaft Diameter given Angle of Twist in Shaft, you need Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Angle of Twist in Shaft (θ). 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 & Angle of Twist in Shaft 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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