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

GoPolar Moment of Inertia of Weld about Center of Gravity 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 = M \cdot \frac{r}{σ s}

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

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

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

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

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

449866.6667 = 964000 \cdot \frac{35}{75}

449866.6667mm⁴ = 964000N*mm \cdot \frac{35mm}{75N/mm²}

449866.6667 = 964000 \cdot \frac{35}{75}

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Design of Machine Elements » fx 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 Solution

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

FIRST Step Consider the formula

J = M \cdot \frac{r}{σ s}

Next Step Substitute values of Variables

∴

J = 964000N*mm \cdot \frac{35mm}{75N/mm²}

Next Step Convert Units

∴

J = 964N*m \cdot \frac{0.035m}{7.5E+7Pa}

Next Step Prepare to Evaluate

∴

J = 964 \cdot \frac{0.035}{7.5E+7}

Next Step Evaluate

∴

J = 4.49866666666667E-07m⁴

Next Step Convert to Output's Unit

∴

J = 449866.666666667mm⁴

LAST Step Rounding Answer

∴

J = 449866.6667mm⁴

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

Couple on Weld

Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.

Symbol: M

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Couple on Weld

Distance from Weld to Center of Gravity

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.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Weld to Center of Gravity

Torsional Shear Stress

Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

Symbol: σ_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress

Other Formulas to find Polar Moment of Inertia of Welds

Go Polar Moment of Inertia of Weld about Center of Gravity

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

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 given Torsional Shear Stress?

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress evaluator uses Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress to evaluate 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 evaluate Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress?

The formula of Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress is expressed as Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress. Here is an example- 4.5E+17 = 964*0.035/75000000.

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

With Couple on Weld (M), Distance from Weld to Center of Gravity (r) & Torsional Shear Stress (σ_s) we can find Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress using the formula - Polar Moment of Inertia of Welds = Couple on Weld*Distance from Weld to Center of Gravity/Torsional Shear Stress.

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

Can the Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress be negative?

Yes, the Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress, 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 given Torsional Shear Stress?

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress 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 given Torsional Shear Stress can be measured.

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

​GoPolar Moment of Inertia of Weld about Center of Gravity Formula

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

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

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

Other Formulas to find Polar Moment of Inertia of Welds

Other formulas in Eccentric Load in Plane of Welds category

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

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

Variable Name

GoPolar Moment of Inertia of Weld about Center of Gravity Formula