Torsional Moment given Angle of Twist in Shaft Calculator

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✖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%
✖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_torl]			+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%

✖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 given Angle of Twist in Shaft [Mt_shaft]

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Formula

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Torsional Moment given Angle of Twist in Shaft

Formula

`"Mt"_{"shaft"} = "θ"*("G"*"d"_{"torl"}^4)/("L"*584)`

Example

`"330016.7N*mm"="15.42°"*("90000N/mm²"*("43.5mm")^4)/("450mm"*584)`

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Download Design of Automobile Elements Formula PDF

Torsional Moment given Angle of Twist in Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Twist in Shaft: 15.42 Degree --> 0.269129770657475 Radian (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)
Length of Shaft from Torsional Rigidity: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_shaft = θ*(G*d_torl^4)/(L*584) --> 0.269129770657475*(90000000000*0.0435^4)/(0.45*584)

Evaluating ... ...

Mt_shaft = 330.016700320025

STEP 3: Convert Result to Output's Unit

330.016700320025 Newton Meter -->330016.700320025 Newton Millimeter (Check conversion here)

FINAL ANSWER

330016.700320025 ≈ 330016.7 Newton Millimeter <-- Torsional Moment in Shaft

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 5 Torsional Rigidity Calculators

Shaft Diameter given Angle of Twist in Shaft

Go 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)

Length of Shaft Subjected to Torsional Moment given Angle of Twist

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

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

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

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)

Torsional Moment given Angle of Twist in Shaft Formula

Define Torsional Moment?

Torsion is the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc, and is also generated more randomly under service conditions in car bodies, boat hulls, aircraft fuselages, bridges, springs and many other structures and components.

How to Calculate Torsional Moment given Angle of Twist in Shaft?

Torsional Moment given Angle of Twist in Shaft calculator uses 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) to calculate the Torsional Moment in Shaft, The Torsional Moment given Angle of Twist in Shaft formula is defined as the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc,. Torsional Moment in Shaft is denoted by Mt_shaft symbol.

How to calculate Torsional Moment given Angle of Twist in Shaft using this online calculator? To use this online calculator for Torsional Moment given Angle of Twist in Shaft, enter Angle of Twist in Shaft (θ), Modulus of Rigidity of Shaft (G), Diameter of Shaft from Torsional Rigidity (d_torl) & Length of Shaft from Torsional Rigidity (L) and hit the calculate button. Here is how the Torsional Moment given Angle of Twist in Shaft calculation can be explained with given input values -> 3.3E+8 = 0.269129770657475*(90000000000*0.0435^4)/(0.45*584).

FAQ

What is Torsional Moment given Angle of Twist in Shaft?

The Torsional Moment given Angle of Twist in Shaft formula is defined as the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc, and is represented as Mt_shaft = θ*(G*d_torl^4)/(L*584) or 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). Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end, 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 & Length of Shaft from Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity.

How to calculate Torsional Moment given Angle of Twist in Shaft?

The Torsional Moment given Angle of Twist in Shaft formula is defined as the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc, is calculated using 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). To calculate Torsional Moment given Angle of Twist in Shaft, you need Angle of Twist in Shaft (θ), Modulus of Rigidity of Shaft (G), Diameter of Shaft from Torsional Rigidity (d_torl) & Length of Shaft from Torsional Rigidity (L). With our tool, you need to enter the respective value for Angle of Twist in Shaft, Modulus of Rigidity of Shaft, Diameter of Shaft from Torsional Rigidity & Length 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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