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Torsional Shear Stress in Weld Formula

GoShear Stress for Long Fillet Weld Subjected to Torsion Formula

GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula

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

σ s = \frac{Mt t}{2 \cdot π \cdot r^{2} \cdot t}

σ_s - Torsional Shear Stress?Mt_t - Torsional Moment in Welded Shaft?r - Radius of Welded Shaft?t - Thickness of Welded Shaft?π - Archimedes' constant?

Torsional Shear Stress in Weld Example

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Here is how the Torsional Shear Stress in Weld equation looks like with Values.

Here is how the Torsional Shear Stress in Weld equation looks like with Units.

Here is how the Torsional Shear Stress in Weld equation looks like.

73.565 = \frac{1.3E+6}{2 \cdot 3.1416 \cdot 25^{2} \cdot 4.5}

73.565N/mm² = \frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 4.5mm}

73.565 = \frac{1.3E+6}{2 \cdot 3.1416 \cdot 25^{2} \cdot 4.5}

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Torsional Shear Stress in Weld Solution

Follow our step by step solution on how to calculate Torsional Shear Stress in Weld?

FIRST Step Consider the formula

σ s = \frac{Mt t}{2 \cdot π \cdot r^{2} \cdot t}

Next Step Substitute values of Variables

∴

σ s = \frac{1.3E+6N*mm}{2 \cdot π \cdot {25mm}^{2} \cdot 4.5mm}

Next Step Substitute values of Constants

∴

σ s = \frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 4.5mm}

Next Step Convert Units

∴

σ s = \frac{1300N*m}{2 \cdot 3.1416 \cdot {0.025m}^{2} \cdot 0.0045m}

Next Step Prepare to Evaluate

∴

σ s = \frac{1300}{2 \cdot 3.1416 \cdot {0.025}^{2} \cdot 0.0045}

Next Step Evaluate

∴

σ s = 73564951.4735872Pa

Next Step Convert to Output's Unit

∴

σ s = 73.5649514735872N/mm²

LAST Step Rounding Answer

∴

σ s = 73.565N/mm²

Torsional Shear Stress in Weld Formula Elements

Variables

Constants

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

Torsional Moment in Welded Shaft

Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Welded Shaft

Radius of Welded Shaft

Radius of welded shaft is the radius of the shaft subjected to torsion.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Welded Shaft

Thickness of Welded Shaft

Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Welded Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Torsional Shear Stress

Go Shear Stress for Long Fillet Weld Subjected to Torsion

σ s = \frac{3 \cdot Mt t}{h t \cdot L^{2}}

Go Shear Stress on Circular Fillet Weld Subjected to Torsion

σ s = \frac{Mt t}{π \cdot h t \cdot r^{2}}

Other formulas in Welded Joints Subjected to Torsional Moment category

Go Torsional Moment given Torsional Shear Stress in Weld

Mt t = 2 \cdot π \cdot r^{2} \cdot t \cdot σ s

Go Thickness of Shaft given Torsional Shear Stress in Weld

t = \frac{Mt t}{2 \cdot π \cdot r^{2} \cdot σ s}

Go Radius of Shaft given Torsional Shear Stress in Weld

r = \sqrt{\frac{Mt t}{2 \cdot π \cdot σ s \cdot t}}

Go Polar Moment of Inertia of Thickened Hollow Welded Shaft

J = (2 \cdot π \cdot t \cdot r^{3})

How to Evaluate Torsional Shear Stress in Weld?

Torsional Shear Stress in Weld evaluator uses Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft) to evaluate the Torsional Shear Stress, The Torsional Shear Stress in Weld formula is defined as the shear formed by torsion exerted on a beam. Torsional Shear Stress is denoted by σ_s symbol.

How to evaluate Torsional Shear Stress in Weld using this online evaluator? To use this online evaluator for Torsional Shear Stress in Weld, enter Torsional Moment in Welded Shaft (Mt_t), Radius of Welded Shaft (r) & Thickness of Welded Shaft (t) and hit the calculate button.

FAQs on Torsional Shear Stress in Weld

What is the formula to find Torsional Shear Stress in Weld?

The formula of Torsional Shear Stress in Weld is expressed as Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft). Here is an example- 7.4E-5 = 1300/(2*pi*0.025^2*0.0045).

How to calculate Torsional Shear Stress in Weld?

With Torsional Moment in Welded Shaft (Mt_t), Radius of Welded Shaft (r) & Thickness of Welded Shaft (t) we can find Torsional Shear Stress in Weld using the formula - Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft). This formula also uses Archimedes' constant .

What are the other ways to Calculate Torsional Shear Stress?

Here are the different ways to Calculate Torsional Shear Stress-

Torsional Shear Stress=(3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)
Torsional Shear Stress=Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)

Can the Torsional Shear Stress in Weld be negative?

No, the Torsional Shear Stress in Weld, measured in Stress cannot be negative.

Which unit is used to measure Torsional Shear Stress in Weld?

Torsional Shear Stress in Weld is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Torsional Shear Stress in Weld can be measured.

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Torsional Shear Stress in Weld Formula

​GoShear Stress for Long Fillet Weld Subjected to Torsion Formula

​GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula

Torsional Shear Stress in Weld Example

Torsional Shear Stress in Weld Solution

Torsional Shear Stress in Weld Formula Elements

Other Formulas to find Torsional Shear Stress

Other formulas in Welded Joints Subjected to Torsional Moment category

How to Evaluate Torsional Shear Stress in Weld?

FAQs on Torsional Shear Stress in Weld

Variable Name

GoShear Stress for Long Fillet Weld Subjected to Torsion Formula

GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula