Polar Moment of Inertia of Weld about Center of Gravity Calculator

✖The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).ⓘ Throat Area of Welds [A]			+10% -10%
✖The Length of Weld is the linear distance of the welding segment joined by the welded joint.ⓘ Length of Weld [L]			+10% -10%

✖Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.ⓘ Polar Moment of Inertia of Weld about Center of Gravity [J]

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Polar Moment of Inertia of Weld about Center of Gravity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12
J = A*(L^2)/12
This formula uses 3 Variables

Variables Used

Polar Moment of Inertia of Welds - (Measured in Meter⁴) - Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.
Throat Area of Welds - (Measured in Square Meter) - The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).
Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.

STEP 1: Convert Input(s) to Base Unit

Throat Area of Welds: 142 Square Millimeter --> 0.000142 Square Meter (Check conversion here)
Length of Weld: 195 Millimeter --> 0.195 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = A*(L^2)/12 --> 0.000142*(0.195^2)/12

Evaluating ... ...

J = 4.499625E-07

STEP 3: Convert Result to Output's Unit

4.499625E-07 Meter⁴ -->449962.5 Millimeter⁴ (Check conversion here)

FINAL ANSWER

449962.5 Millimeter⁴ <-- Polar Moment of Inertia of Welds

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Eccentric Load in Plane of Welds Calculators

Torsional Shear Stress in Throat Area of Weld

LaTeX Go Torsional Shear Stress = Couple on Weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds

Throat Area of Weld given Primary Shear Stress

LaTeX Go Throat Area of Welds = Direct Load on Weld/Primary Shear Stress in Weld

Load acting on Weld given Primary Stress

LaTeX Go Direct Load on Weld = Primary Shear Stress in Weld*Throat Area of Welds

Primary Shear Stress in Weld

LaTeX Go Primary Shear Stress in Weld = Direct Load on Weld/Throat Area of Welds

Polar Moment of Inertia of Weld about Center of Gravity Formula

LaTeX Go

Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12
J = A*(L^2)/12

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 Weld about Center of Gravity?

Polar Moment of Inertia of Weld about Center of Gravity calculator uses Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12 to calculate the Polar Moment of Inertia of Welds, Polar Moment of Inertia of Weld about Center of Gravity is defined as the second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in weld about its center of gravity. Polar Moment of Inertia of Welds is denoted by J symbol.

How to calculate Polar Moment of Inertia of Weld about Center of Gravity using this online calculator? To use this online calculator for Polar Moment of Inertia of Weld about Center of Gravity, enter Throat Area of Welds (A) & Length of Weld (L) and hit the calculate button. Here is how the Polar Moment of Inertia of Weld about Center of Gravity calculation can be explained with given input values -> 4.5E+17 = 0.000142*(0.195^2)/12.

FAQ

What is Polar Moment of Inertia of Weld about Center of Gravity?

Polar Moment of Inertia of Weld about Center of Gravity is defined as the second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in weld about its center of gravity and is represented as J = A*(L^2)/12 or Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12. The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld) & The Length of Weld is the linear distance of the welding segment joined by the welded joint.

How to calculate Polar Moment of Inertia of Weld about Center of Gravity?

Polar Moment of Inertia of Weld about Center of Gravity is defined as the second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in weld about its center of gravity is calculated using Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12. To calculate Polar Moment of Inertia of Weld about Center of Gravity, you need Throat Area of Welds (A) & Length of Weld (L). With our tool, you need to enter the respective value for Throat Area of Welds & Length of Weld 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 Welds?

In this formula, Polar Moment of Inertia of Welds uses Throat Area of Welds & Length of Weld. We can use 1 other way(s) to calculate the same, which is/are as follows -

Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress

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