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Distance of point in Weld from Center of Gravity given Torsional Shear Stress Formula

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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. Check FAQs

r = J \cdot \frac{σ s}{M}

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

Distance of point in Weld from Center of Gravity given Torsional Shear Stress Example

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Here is how the Distance of point in Weld from Center of Gravity given Torsional Shear Stress equation looks like with Values.

Here is how the Distance of point in Weld from Center of Gravity given Torsional Shear Stress equation looks like with Units.

Here is how the Distance of point in Weld from Center of Gravity given Torsional Shear Stress equation looks like.

35.0104 = 450000 \cdot \frac{75}{964000}

35.0104mm = 450000mm⁴ \cdot \frac{75N/mm²}{964000N*mm}

35.0104 = 450000 \cdot \frac{75}{964000}

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Distance of point in Weld from Center of Gravity given Torsional Shear Stress Solution

Follow our step by step solution on how to calculate Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

FIRST Step Consider the formula

r = J \cdot \frac{σ s}{M}

Next Step Substitute values of Variables

∴

r = 450000mm⁴ \cdot \frac{75N/mm²}{964000N*mm}

Next Step Convert Units

∴

r = 4.5E-7m⁴ \cdot \frac{7.5E+7Pa}{964N*m}

Next Step Prepare to Evaluate

∴

r = 4.5E-7 \cdot \frac{7.5E+7}{964}

Next Step Evaluate

∴

r = 0.0350103734439834m

Next Step Convert to Output's Unit

∴

r = 35.0103734439834mm

LAST Step Rounding Answer

∴

r = 35.0104mm

Distance of point in Weld from Center of Gravity given Torsional Shear Stress Formula Elements

Variables

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

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

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

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

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 Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

Distance of point in Weld from Center of Gravity given Torsional Shear Stress evaluator uses Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on Weld to evaluate the Distance from Weld to Center of Gravity, Distance of point in Weld from Center of Gravity given Torsional Shear Stress is defined as the distance in between the weld surface to the center of gravity of all welds. Distance from Weld to Center of Gravity is denoted by r symbol.

How to evaluate Distance of point in Weld from Center of Gravity given Torsional Shear Stress using this online evaluator? To use this online evaluator for Distance of point in Weld from Center of Gravity given Torsional Shear Stress, enter Polar Moment of Inertia of Welds (J), Torsional Shear Stress (σ_s) & Couple on Weld (M) and hit the calculate button.

FAQs on Distance of point in Weld from Center of Gravity given Torsional Shear Stress

What is the formula to find Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

The formula of Distance of point in Weld from Center of Gravity given Torsional Shear Stress is expressed as Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on Weld. Here is an example- 35010.37 = 4.5E-07*75000000/964.

How to calculate Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

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

Can the Distance of point in Weld from Center of Gravity given Torsional Shear Stress be negative?

No, the Distance of point in Weld from Center of Gravity given Torsional Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

Distance of point in Weld from Center of Gravity given Torsional Shear Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of point in Weld from Center of Gravity given Torsional Shear Stress can be measured.

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Distance of point in Weld from Center of Gravity given Torsional Shear Stress Formula

Distance of point in Weld from Center of Gravity given Torsional Shear Stress Example

Distance of point in Weld from Center of Gravity given Torsional Shear Stress Solution

Distance of point in Weld from Center of Gravity given Torsional Shear Stress Formula Elements

Other formulas in Eccentric Load in Plane of Welds category

How to Evaluate Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

FAQs on Distance of point in Weld from Center of Gravity given Torsional Shear Stress

Variable Name