Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress Calculator

✖Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.ⓘ Couple on Weld [M]			+10% -10%
✖Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld.ⓘ Distance from Weld to Center of Gravity [r]			+10% -10%
✖Torsional Shear Stress is the shear stress produced against torsional load or twisting load.ⓘ Torsional Shear Stress [σ_s]			+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 given Torsional Shear Stress [J]

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Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress
J = M*r/σ_s
This formula uses 4 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.
Couple on Weld - (Measured in Newton Meter) - Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.
Distance from Weld to Center of Gravity - (Measured in Meter) - Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld.
Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

STEP 1: Convert Input(s) to Base Unit

Couple on Weld: 964000 Newton Millimeter --> 964 Newton Meter (Check conversion here)
Distance from Weld to Center of Gravity: 35 Millimeter --> 0.035 Meter (Check conversion here)
Torsional Shear Stress: 75 Newton per Square Millimeter --> 75000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = M*r/σ_s --> 964*0.035/75000000

Evaluating ... ...

J = 4.49866666666667E-07

STEP 3: Convert Result to Output's Unit

4.49866666666667E-07 Meter⁴ -->449866.666666667 Millimeter⁴ (Check conversion here)

FINAL ANSWER

449866.666666667 ≈ 449866.7 Millimeter⁴ <-- Polar Moment of Inertia of Welds

(Calculation completed in 00.020 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 given Torsional Shear Stress Formula

LaTeX Go

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

Define Polar Moment of Inertia?

The polar moment of inertia, also known as the second polar moment of area, is 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.

How to Calculate Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress?

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress calculator uses Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress to calculate the Polar Moment of Inertia of Welds, Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress 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 given Torsional Shear Stress using this online calculator? To use this online calculator for Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress, enter Couple on Weld (M), Distance from Weld to Center of Gravity (r) & Torsional Shear Stress (σ_s) and hit the calculate button. Here is how the Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress calculation can be explained with given input values -> 4.5E+17 = 964*0.035/75000000.

FAQ

What is Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress?

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress 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 = M*r/σ_s or Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress. Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force, Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld & Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

How to calculate Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress?

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress 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 = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress. To calculate Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress, you need Couple on Weld (M), Distance from Weld to Center of Gravity (r) & Torsional Shear Stress (σ_s). With our tool, you need to enter the respective value for Couple on Weld, Distance from Weld to Center of Gravity & Torsional Shear Stress 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 Couple on Weld, Distance from Weld to Center of Gravity & Torsional Shear Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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