Polar Moment of Inertia of Thickened Hollow Welded Shaft Calculator

✖Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.ⓘ Thickness of welded shaft [t]			+10% -10%
✖Radius of welded shaft is the radius of the shaft subjected to torsion.ⓘ Radius of Welded Shaft [r]			+10% -10%

✖Polar Moment of Inertia of Welded Hollow Shaft is defined as the Polar moment of inertia of the welded hollow thickened shaft about its Center of Gravity.ⓘ Polar Moment of Inertia of Thickened Hollow Welded Shaft [J]

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Formula

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Polar Moment of Inertia of Thickened Hollow Welded Shaft

Formula

`"J" = (2*pi*"t"*"r"^3)`

Example

`"441786.5mm⁴"=(2*pi*"4.5mm"*("25mm")^3)`

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Polar Moment of Inertia of Thickened Hollow Welded Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3)
J = (2*pi*t*r^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Polar Moment of Inertia of Welded Hollow Shaft - (Measured in Meter⁴) - Polar Moment of Inertia of Welded Hollow Shaft is defined as the Polar moment of inertia of the welded hollow thickened shaft about its Center of Gravity.
Thickness of welded shaft - (Measured in Meter) - Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.
Radius of Welded Shaft - (Measured in Meter) - Radius of welded shaft is the radius of the shaft subjected to torsion.

STEP 1: Convert Input(s) to Base Unit

Thickness of welded shaft: 4.5 Millimeter --> 0.0045 Meter (Check conversion here)
Radius of Welded Shaft: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = (2*pi*t*r^3) --> (2*pi*0.0045*0.025^3)

Evaluating ... ...

J = 4.41786466911065E-07

STEP 3: Convert Result to Output's Unit

4.41786466911065E-07 Meter⁴ -->441786.466911065 Millimeter⁴ (Check conversion here)

FINAL ANSWER

441786.466911065 ≈ 441786.5 Millimeter⁴ <-- Polar Moment of Inertia of Welded Hollow Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Welded Joints » Welded Joints Subjected to Torsional Moment » Polar Moment of Inertia of Thickened Hollow Welded Shaft

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Welded Joints Subjected to Torsional Moment Calculators

Radius of Shaft given Torsional Shear Stress in Weld

Go Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft))

Thickness of Shaft given Torsional Shear Stress in Weld

Go Thickness of welded shaft = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Torsional Shear Stress)

Torsional Shear Stress in Weld

Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft)

Torsional Moment given Torsional Shear Stress in Weld

Go Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of welded shaft*Torsional Shear Stress

Shear Stress on Circular Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)

Polar Moment of Inertia of Thickened Hollow Welded Shaft

Go Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3)

Shear Stress for Long Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)

Polar Moment of Inertia of Thickened Hollow Welded Shaft Formula

Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3)
J = (2*pi*t*r^3)

Define Polar Moment of Inertia?

The polar moment of inertia, also known as second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation.

How to Calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

Polar Moment of Inertia of Thickened Hollow Welded Shaft calculator uses Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3) to calculate the Polar Moment of Inertia of Welded Hollow Shaft, Polar Moment of Inertia of Thickened Hollow Welded Shaft is defined as a quantity used to describe resistance to torsional deformation (deflection). In cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation. Polar Moment of Inertia of Welded Hollow Shaft is denoted by J symbol.

How to calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft using this online calculator? To use this online calculator for Polar Moment of Inertia of Thickened Hollow Welded Shaft, enter Thickness of welded shaft (t) & Radius of Welded Shaft (r) and hit the calculate button. Here is how the Polar Moment of Inertia of Thickened Hollow Welded Shaft calculation can be explained with given input values -> 4.4E+17 = (2*pi*0.0045*0.025^3).

FAQ

What is Polar Moment of Inertia of Thickened Hollow Welded Shaft?

Polar Moment of Inertia of Thickened Hollow Welded Shaft is defined as a quantity used to describe resistance to torsional deformation (deflection). In cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation and is represented as J = (2*pi*t*r^3) or Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3). Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft & Radius of welded shaft is the radius of the shaft subjected to torsion.

How to calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

Polar Moment of Inertia of Thickened Hollow Welded Shaft is defined as a quantity used to describe resistance to torsional deformation (deflection). In cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation is calculated using Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3). To calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft, you need Thickness of welded shaft (t) & Radius of Welded Shaft (r). With our tool, you need to enter the respective value for Thickness of welded shaft & Radius of Welded 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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