Modulus of Rigidity given Angle of Twist 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%
✖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.ⓘ Diameter of Shaft From Torsional Rigidity [d]			+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 given Angle of Twist [G]

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Modulus of Rigidity given Angle of Twist Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
G = 584*M*L/(θ*d^4)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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)
Angle of Twist in Shaft: 15.41922 Degree --> 0.269116157089309 Radian (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

G = 584*M*L/(θ*d^4) --> 584*330*0.45/(0.269116157089309*0.0435^4)

Evaluating ... ...

G = 89999998126.8391

STEP 3: Convert Result to Output's Unit

89999998126.8391 Pascal -->89999.9981268391 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

89999.9981268391 ≈ 90000 Newton per Square Millimeter <-- Modulus of Rigidity of Shaft

(Calculation completed in 00.020 seconds)

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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)

Modulus of Rigidity given Angle of Twist Formula

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)
G = 584*M*L/(θ*d^4)

Define Modulus of Rigidity?

Shear Modulus of elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young’s modulus and bulk modulus. The shear modulus of material gives us the ratio of shear stress to shear strain in a body.

How to Calculate Modulus of Rigidity given Angle of Twist?

Modulus of Rigidity given Angle of Twist calculator uses 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) to calculate the Modulus of Rigidity of Shaft, Modulus of Rigidity given Angle of Twist formula is defined as a measure of the rigidity of a shaft in torsion, which is the torque required to produce a unit angle of twist in a shaft, and is an important parameter in the design of shafts and axles in mechanical systems. Modulus of Rigidity of Shaft is denoted by G symbol.

How to calculate Modulus of Rigidity given Angle of Twist using this online calculator? To use this online calculator for Modulus of Rigidity given Angle of Twist, enter Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Angle of Twist in Shaft (θ) & Diameter of Shaft From Torsional Rigidity (d) and hit the calculate button. Here is how the Modulus of Rigidity given Angle of Twist calculation can be explained with given input values -> 0.09 = 584*330*0.45/(0.269116157089309*0.0435^4).

FAQ

What is Modulus of Rigidity given Angle of Twist?

Modulus of Rigidity given Angle of Twist formula is defined as a measure of the rigidity of a shaft in torsion, which is the torque required to produce a unit angle of twist in a shaft, and is an important parameter in the design of shafts and axles in mechanical systems and is represented as G = 584*M*L/(θ*d^4) or 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). 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, Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end & 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 Modulus of Rigidity given Angle of Twist?

Modulus of Rigidity given Angle of Twist formula is defined as a measure of the rigidity of a shaft in torsion, which is the torque required to produce a unit angle of twist in a shaft, and is an important parameter in the design of shafts and axles in mechanical systems is calculated using 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). To calculate Modulus of Rigidity given Angle of Twist, you need Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Angle of Twist in Shaft (θ) & 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, Angle of Twist in 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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