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Couple on Weld given Torsional Shear Stress in Throat Area of Weld Formula

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

M = J \cdot \frac{σ s}{r}

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

Couple on Weld given Torsional Shear Stress in Throat Area of Weld Example

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Here is how the Couple on Weld given Torsional Shear Stress in Throat Area of Weld equation looks like with Values.

Here is how the Couple on Weld given Torsional Shear Stress in Throat Area of Weld equation looks like with Units.

Here is how the Couple on Weld given Torsional Shear Stress in Throat Area of Weld equation looks like.

964285.7143 = 450000 \cdot \frac{75}{35}

964285.7143N*mm = 450000mm⁴ \cdot \frac{75N/mm²}{35mm}

964285.7143 = 450000 \cdot \frac{75}{35}

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Couple on Weld given Torsional Shear Stress in Throat Area of Weld Solution

Follow our step by step solution on how to calculate Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

FIRST Step Consider the formula

M = J \cdot \frac{σ s}{r}

Next Step Substitute values of Variables

∴

M = 450000mm⁴ \cdot \frac{75N/mm²}{35mm}

Next Step Convert Units

∴

M = 4.5E-7m⁴ \cdot \frac{7.5E+7Pa}{0.035m}

Next Step Prepare to Evaluate

∴

M = 4.5E-7 \cdot \frac{7.5E+7}{0.035}

Next Step Evaluate

∴

M = 964.285714285714N*m

Next Step Convert to Output's Unit

∴

M = 964285.714285714N*mm

LAST Step Rounding Answer

∴

M = 964285.7143N*mm

Couple on Weld given Torsional Shear Stress in Throat Area of Weld Formula Elements

Variables

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

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

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

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 Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

Couple on Weld given Torsional Shear Stress in Throat Area of Weld evaluator uses Couple on Weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity to evaluate the Couple on Weld, Couple on Weld given Torsional Shear Stress in Throat Area of Weld is defined as the pair of equal parallel forces that are opposite in direction. The only effect of a couple is to produce or prevent the turning of a body. Couple on Weld is denoted by M symbol.

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

FAQs on Couple on Weld given Torsional Shear Stress in Throat Area of Weld

What is the formula to find Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

The formula of Couple on Weld given Torsional Shear Stress in Throat Area of Weld is expressed as Couple on Weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity. Here is an example- 9.6E+8 = 4.5E-07*75000000/0.035.

How to calculate Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

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

Can the Couple on Weld given Torsional Shear Stress in Throat Area of Weld be negative?

No, the Couple on Weld given Torsional Shear Stress in Throat Area of Weld, measured in Torque cannot be negative.

Which unit is used to measure Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

Couple on Weld given Torsional Shear Stress in Throat Area of Weld is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Couple on Weld given Torsional Shear Stress in Throat Area of Weld can be measured.

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Couple on Weld given Torsional Shear Stress in Throat Area of Weld Formula

Couple on Weld given Torsional Shear Stress in Throat Area of Weld Example

Couple on Weld given Torsional Shear Stress in Throat Area of Weld Solution

Couple on Weld given Torsional Shear Stress in Throat Area of Weld Formula Elements

Other formulas in Eccentric Load in Plane of Welds category

How to Evaluate Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

FAQs on Couple on Weld given Torsional Shear Stress in Throat Area of Weld

Variable Name