Torsional moment on shaft given shear stress Calculator

✖Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting.ⓘ Torsional shear stress in twisted shaft [𝜏]			+10% -10%
✖Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.ⓘ Polar moment of inertia for circular section [J]			+10% -10%
✖Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.ⓘ Radial Distance from Axis of Rotation [r]			+10% -10%

✖Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.ⓘ Torsional moment on shaft given shear stress [τ]

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Formula

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Torsional moment on shaft given shear stress

Formula

`"τ" = "𝜏"*"J"/"r"`

Example

`"53200N*mm"="35N/mm²"*"38000mm⁴"/"25mm"`

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Torsional moment on shaft given shear stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation
τ = 𝜏*J/r
This formula uses 4 Variables

Variables Used

Torsional moment on shaft - (Measured in Newton Meter) - Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.
Torsional shear stress in twisted shaft - (Measured in Pascal) - Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting.
Polar moment of inertia for circular section - (Measured in Meter⁴) - Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.
Radial Distance from Axis of Rotation - (Measured in Meter) - Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.

STEP 1: Convert Input(s) to Base Unit

Torsional shear stress in twisted shaft: 35 Newton per Square Millimeter --> 35000000 Pascal (Check conversion here)
Polar moment of inertia for circular section: 38000 Millimeter⁴ --> 3.8E-08 Meter⁴ (Check conversion here)
Radial Distance from Axis of Rotation: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = 𝜏*J/r --> 35000000*3.8E-08/0.025

Evaluating ... ...

τ = 53.2

STEP 3: Convert Result to Output's Unit

53.2 Newton Meter -->53200 Newton Millimeter (Check conversion here)

FINAL ANSWER

53200 Newton Millimeter <-- Torsional moment on shaft

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 9 Design of Shaft for Torsional Moment Calculators

Angle of twist of hollow cylindrical rod in degrees

Go Angle of twist of shaft in degree = (584*Torsional moment on shaft*Length of Shaft/(Modulus of Rigidity*((Outer Diameter of Hollow Circular Section^4)-(Inner Diameter of Hollow Circular Section^4))))*(pi/180)

Angle of twist of solid cylindrical rod in degrees

Go Angle of twist of shaft in degree = (584*Torsional moment on shaft*Length of Shaft/(Modulus of Rigidity*(Diameter of circular section of shaft^4)))*(pi/180)

Angle of twist of shaft in radians given torque, length of shaft, polar moment of inertia

Go Angle of twist of shaft = (Torsional moment on shaft*Length of Shaft)/(Polar moment of inertia for circular section*Modulus of Rigidity)

Polar moment of inertia of shaft given shear stress and torsional moment

Go Polar moment of inertia for circular section = Torsional moment on shaft*Radial Distance from Axis of Rotation/Torsional shear stress in twisted shaft

Torsional shear stress in shaft due to torsional moment

Go Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section

Torsional moment on shaft given shear stress

Go Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation

Polar moment of inertia of hollow circular cross-section

Go Polar moment of inertia for circular section = pi*((Outer Diameter of Hollow Circular Section^4)-(Inner Diameter of Hollow Circular Section^4))/32

Power transmitted by shaft given speed of shaft and torque

Go Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60)

Polar moment of inertia of circular cross section

Go Polar moment of inertia for circular section = pi*(Diameter of circular section of shaft^4)/32

Torsional moment on shaft given shear stress Formula

Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation
τ = 𝜏*J/r

What is torsional moment?

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 (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf).

How to Calculate Torsional moment on shaft given shear stress?

Torsional moment on shaft given shear stress calculator uses Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation to calculate the Torsional moment on shaft, Torsional moment on shaft given shear stress formula is defined as a moment that twists a structure. Unlike axial loads that produce a uniform, or average, stress over the object's cross section, a torque creates a distribution of stress over the cross-section. Torsional moment on shaft is denoted by τ symbol.

How to calculate Torsional moment on shaft given shear stress using this online calculator? To use this online calculator for Torsional moment on shaft given shear stress, enter Torsional shear stress in twisted shaft (𝜏), Polar moment of inertia for circular section (J) & Radial Distance from Axis of Rotation (r) and hit the calculate button. Here is how the Torsional moment on shaft given shear stress calculation can be explained with given input values -> 5.3E+7 = 35000000*3.8E-08/0.025.

FAQ

What is Torsional moment on shaft given shear stress?

Torsional moment on shaft given shear stress formula is defined as a moment that twists a structure. Unlike axial loads that produce a uniform, or average, stress over the object's cross section, a torque creates a distribution of stress over the cross-section and is represented as τ = 𝜏*J/r or Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation. Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting, Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion & Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.

How to calculate Torsional moment on shaft given shear stress?

Torsional moment on shaft given shear stress formula is defined as a moment that twists a structure. Unlike axial loads that produce a uniform, or average, stress over the object's cross section, a torque creates a distribution of stress over the cross-section is calculated using Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation. To calculate Torsional moment on shaft given shear stress, you need Torsional shear stress in twisted shaft (𝜏), Polar moment of inertia for circular section (J) & Radial Distance from Axis of Rotation (r). With our tool, you need to enter the respective value for Torsional shear stress in twisted shaft, Polar moment of inertia for circular section & Radial Distance from Axis of Rotation 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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