Polar Moment of Inertia of Solid Circular 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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✖The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.ⓘ Polar Moment of Inertia of Solid Circular Shaft [J]

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Polar Moment of Inertia of Solid Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32
J = (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 - (Measured in Meter⁴) - The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.
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 = (pi*d_s^4)/32 --> (pi*1.2^4)/32

Evaluating ... ...

J = 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

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Design of Solid Shaft Calculators

Polar Moment of Inertia of Solid Circular Shaft

LaTeX Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32

Polar Moment of Inertia of Solid Circular Shaft Formula

LaTeX Go

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

Define polar moment of inertia?

Polar Moment of Inertia is a measure of an object’s capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis. Torsion, on the other hand, is nothing but the twisting of an object due to an applied torque. Polar moment of inertia basically describes the cylindrical object’s (including its segments) resistance to torsional deformation when torque is applied in a plane that is parallel to the cross-section area or in a plane that is perpendicular to the object’s central axis.

How to Calculate Polar Moment of Inertia of Solid Circular Shaft?

Polar Moment of Inertia of Solid Circular Shaft calculator uses Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32 to calculate the Polar Moment of Inertia, The Polar Moment of Inertia of Solid Circular Shaft formula is a quantity used to describe resistance to torsional deformation, 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 is denoted by J symbol.

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

FAQ

What is Polar Moment of Inertia of Solid Circular Shaft?

The Polar Moment of Inertia of Solid Circular Shaft formula is a quantity used to describe resistance to torsional deformation, 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 = (pi*d_s^4)/32 or Polar Moment of Inertia = (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 Solid Circular Shaft?

The Polar Moment of Inertia of Solid Circular Shaft formula is a quantity used to describe resistance to torsional deformation, 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 = (pi*Diameter of Shaft^4)/32. To calculate Polar Moment of Inertia of Solid Circular 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.

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