Polar moment of inertia of shaft Calculator

✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d_s]

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✖Polar Moment of Inertia of shaft is the measure of object resistance to torsion.ⓘ Polar moment of inertia of shaft [J_shaft]

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Polar moment of inertia of shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32
J_shaft = (pi*d_s^4)/32
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Polar Moment of Inertia of shaft - (Measured in Meter⁴) - Polar Moment of Inertia of shaft is the measure of object resistance to torsion.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_shaft = (pi*d_s^4)/32 --> (pi*1.2^4)/32

Evaluating ... ...

J_shaft = 0.203575203952619

STEP 3: Convert Result to Output's Unit

0.203575203952619 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.203575203952619 ≈ 0.203575 Meter⁴ <-- Polar Moment of Inertia of shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Expression for Torque in terms of Polar Moment of Inertia » Polar moment of inertia of shaft

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Expression for Torque in terms of Polar Moment of Inertia Calculators

Modulus of Rigidity of Shaft given Torque Transmitted and Polar Moment of Inertia

LaTeX Go Modulus of Rigidity = (Torque Exerted on Wheel*Length of Shaft)/(Angle of twist*Polar Moment of Inertia of shaft)

Polar Moment of Inertia of Shaft given Torque Transmitted and Modulus of Rigidity

LaTeX Go Polar Moment of Inertia of shaft = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Angle of twist)

Angle of Twist for Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Angle of twist = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Polar Moment of Inertia of shaft)

Length of Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Length of Shaft = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel

Polar moment of inertia of shaft Formula

LaTeX Go

Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32
J_shaft = (pi*d_s^4)/32

What is difference between moment of inertia and polar moment of inertia?

The main difference between the moment of inertia and the polar moment of inertia is that the moment of inertia measures how an object resists angular acceleration, whereas the polar moment of inertia measures how an object resists torsion.

How to Calculate Polar moment of inertia of shaft?

Polar moment of inertia of shaft calculator uses Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32 to calculate the Polar Moment of Inertia of shaft, The Polar moment of inertia of shaft formula is defined as a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of the cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation. Polar Moment of Inertia of shaft is denoted by J_shaft symbol.

How to calculate Polar moment of inertia of shaft using this online calculator? To use this online calculator for Polar moment of inertia of shaft, enter Diameter of Shaft (d_s) and hit the calculate button. Here is how the Polar moment of inertia of shaft calculation can be explained with given input values -> 0.203575 = (pi*1.2^4)/32.

FAQ

What is Polar moment of inertia of shaft?

The Polar moment of inertia of shaft formula is defined as a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of the cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation and is represented as J_shaft = (pi*d_s^4)/32 or Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32. The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

How to calculate Polar moment of inertia of shaft?

The Polar moment of inertia of shaft formula is defined as a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of the cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation is calculated using Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32. To calculate Polar moment of inertia of shaft, you need Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Polar Moment of Inertia of shaft?

In this formula, Polar Moment of Inertia of shaft uses Diameter of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Polar Moment of Inertia of shaft = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Angle of twist)
Polar Moment of Inertia of shaft = (Torque Exerted on Wheel*Radius of Shaft)/Maximum Shear Stress on Shaft

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