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/σs
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/σs --> 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 00.004 seconds)

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Osmania University (OU), Hyderabad
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10+ Eccentric Load in Plane of Welds Calculators

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress
Go Polar Moment of Inertia of Welds = Couple on weld*Distance from Weld to Center of Gravity/Torsional Shear Stress
Distance of point in Weld from Center of Gravity given Torsional Shear Stress
Go Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on weld
Couple on Weld given Torsional Shear Stress in Throat Area of Weld
Go Couple on weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity
Torsional Shear Stress in Throat Area of Weld
Go Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds
Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity
Go Length of Weld = sqrt(12*Polar Moment of Inertia of Welds/Throat Area of Welds)
Throat Area of Weld given Polar Moment of Inertia of Weld about Center
Go Throat Area of Welds = 12*Polar Moment of Inertia of Welds/(Length of Weld^2)
Polar Moment of Inertia of Weld about Center of Gravity
Go Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12
Throat Area of Weld given Primary Shear Stress
Go Throat Area of Welds = Direct load on weld/Primary shear stress in weld
Load acting on Weld given Primary Stress
Go Direct load on weld = Primary shear stress in weld*Throat Area of Welds
Primary Shear Stress in Weld
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

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

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 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/σs 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 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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