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Polar Moment of Inertia of Weld about Center of Gravity Formula

GoPolar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress Formula

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Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity. Check FAQs

J = A \cdot \frac{L^{2}}{12}

J - Polar Moment of Inertia of Welds?A - Throat Area of Welds?L - Length of Weld?

Polar Moment of Inertia of Weld about Center of Gravity Example

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Here is how the Polar Moment of Inertia of Weld about Center of Gravity equation looks like with Values.

Here is how the Polar Moment of Inertia of Weld about Center of Gravity equation looks like with Units.

Here is how the Polar Moment of Inertia of Weld about Center of Gravity equation looks like.

449962.5 = 142 \cdot \frac{195^{2}}{12}

449962.5mm⁴ = 142mm² \cdot \frac{{195mm}^{2}}{12}

449962.5 = 142 \cdot \frac{195^{2}}{12}

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Polar Moment of Inertia of Weld about Center of Gravity Solution

Follow our step by step solution on how to calculate Polar Moment of Inertia of Weld about Center of Gravity?

FIRST Step Consider the formula

J = A \cdot \frac{L^{2}}{12}

Next Step Substitute values of Variables

∴

J = 142mm² \cdot \frac{{195mm}^{2}}{12}

Next Step Convert Units

∴

J = 0.0001m² \cdot \frac{{0.195m}^{2}}{12}

Next Step Prepare to Evaluate

∴

J = 0.0001 \cdot \frac{{0.195}^{2}}{12}

Next Step Evaluate

∴

J = 4.499625E-07m⁴

LAST Step Convert to Output's Unit

∴

J = 449962.5mm⁴

Polar Moment of Inertia of Weld about Center of Gravity Formula Elements

Variables

Polar Moment of Inertia of Welds

Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.

Symbol: J

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia of Welds

Throat Area of Welds

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).

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Throat Area of Welds

Length of Weld

The Length of Weld is the linear distance of the welding segment joined by the welded joint.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Weld

Other Formulas to find Polar Moment of Inertia of Welds

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

J = M \cdot \frac{r}{σ s}

Other formulas in Eccentric Load in Plane of Welds category

Go Primary Shear Stress in Weld

τ 1 = \frac{P}{A}

Go Throat Area of Weld given Primary Shear Stress

A = \frac{P}{τ 1}

Go Load acting on Weld given Primary Stress

P = τ 1 \cdot A

Go Torsional Shear Stress in Throat Area of Weld

σ s = M \cdot \frac{r}{J}

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

Polar Moment of Inertia of Weld about Center of Gravity evaluator uses Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12 to evaluate 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 evaluate Polar Moment of Inertia of Weld about Center of Gravity using this online evaluator? To use this online evaluator 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.

FAQs on Polar Moment of Inertia of Weld about Center of Gravity

What is the formula to find Polar Moment of Inertia of Weld about Center of Gravity?

The formula of Polar Moment of Inertia of Weld about Center of Gravity is expressed as Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12. Here is an example- 4.5E+17 = 0.000142*(0.195^2)/12.

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

With Throat Area of Welds (A) & Length of Weld (L) we can find Polar Moment of Inertia of Weld about Center of Gravity using the formula - Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12.

What are the other ways to Calculate Polar Moment of Inertia of Welds?

Here are the different ways to Calculate Polar Moment of Inertia of Welds-

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

Can the Polar Moment of Inertia of Weld about Center of Gravity be negative?

Yes, the Polar Moment of Inertia of Weld about Center of Gravity, measured in Second Moment of Area can be negative.

Which unit is used to measure Polar Moment of Inertia of Weld about Center of Gravity?

Polar Moment of Inertia of Weld about Center of Gravity is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Polar Moment of Inertia of Weld about Center of Gravity can be measured.

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