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Shear Stress for Long Fillet Weld Subjected to Torsion Formula

GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula

GoTorsional Shear Stress in Weld Formula

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

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

σ_s - Torsional Shear Stress?Mt_t - Torsional Moment in Welded Shaft?h_t - Throat Thickness of Weld?L - Length of Weld?

Shear Stress for Long Fillet Weld Subjected to Torsion Example

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Here is how the Shear Stress for Long Fillet Weld Subjected to Torsion equation looks like with Values.

Here is how the Shear Stress for Long Fillet Weld Subjected to Torsion equation looks like with Units.

Here is how the Shear Stress for Long Fillet Weld Subjected to Torsion equation looks like.

6.8376 = \frac{3 \cdot 1.3E+6}{15 \cdot 195^{2}}

6.8376N/mm² = \frac{3 \cdot 1.3E+6N*mm}{15mm \cdot {195mm}^{2}}

6.8376 = \frac{3 \cdot 1.3E+6}{15 \cdot 195^{2}}

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Shear Stress for Long Fillet Weld Subjected to Torsion Solution

Follow our step by step solution on how to calculate Shear Stress for Long Fillet Weld Subjected to Torsion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ s = \frac{3 \cdot 1.3E+6N*mm}{15mm \cdot {195mm}^{2}}

Next Step Convert Units

∴

σ s = \frac{3 \cdot 1300N*m}{0.015m \cdot {0.195m}^{2}}

Next Step Prepare to Evaluate

∴

σ s = \frac{3 \cdot 1300}{0.015 \cdot {0.195}^{2}}

Next Step Evaluate

∴

σ s = 6837606.83760684Pa

Next Step Convert to Output's Unit

∴

σ s = 6.83760683760684N/mm²

LAST Step Rounding Answer

∴

σ s = 6.8376N/mm²

Shear Stress for Long Fillet Weld Subjected to Torsion Formula Elements

Variables

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

Throat Thickness of Weld

Throat thickness of weld is the shortest distance from the root to the face of the weld.

Symbol: h_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Throat Thickness of Weld

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 Torsional Shear Stress

Go Shear Stress on Circular Fillet Weld Subjected to Torsion

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

Go Torsional Shear Stress in Weld

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

Other formulas in Stress in Design 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 Shear Stress for Long Fillet Weld Subjected to Torsion?

Shear Stress for Long Fillet Weld Subjected to Torsion evaluator uses Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2) to evaluate the Torsional Shear Stress, The shear stress for long fillet weld subjected to torsion is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Torsional Shear Stress is denoted by σ_s symbol.

How to evaluate Shear Stress for Long Fillet Weld Subjected to Torsion using this online evaluator? To use this online evaluator for Shear Stress for Long Fillet Weld Subjected to Torsion, enter Torsional Moment in Welded Shaft (Mt_t), Throat Thickness of Weld (h_t) & Length of Weld (L) and hit the calculate button.

FAQs on Shear Stress for Long Fillet Weld Subjected to Torsion

What is the formula to find Shear Stress for Long Fillet Weld Subjected to Torsion?

The formula of Shear Stress for Long Fillet Weld Subjected to Torsion is expressed as Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2). Here is an example- 6.8E-6 = (3*1300)/(0.015*0.195^2).

How to calculate Shear Stress for Long Fillet Weld Subjected to Torsion?

With Torsional Moment in Welded Shaft (Mt_t), Throat Thickness of Weld (h_t) & Length of Weld (L) we can find Shear Stress for Long Fillet Weld Subjected to Torsion using the formula - Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2).

What are the other ways to Calculate Torsional Shear Stress?

Here are the different ways to Calculate Torsional Shear Stress-

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

Can the Shear Stress for Long Fillet Weld Subjected to Torsion be negative?

No, the Shear Stress for Long Fillet Weld Subjected to Torsion, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress for Long Fillet Weld Subjected to Torsion?

Shear Stress for Long Fillet Weld Subjected to Torsion 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 Shear Stress for Long Fillet Weld Subjected to Torsion can be measured.

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Shear Stress for Long Fillet Weld Subjected to Torsion Formula

​GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula

​GoTorsional Shear Stress in Weld Formula

Shear Stress for Long Fillet Weld Subjected to Torsion Example

Shear Stress for Long Fillet Weld Subjected to Torsion Solution

Shear Stress for Long Fillet Weld Subjected to Torsion Formula Elements

Other Formulas to find Torsional Shear Stress

Other formulas in Stress in Design category

How to Evaluate Shear Stress for Long Fillet Weld Subjected to Torsion?

FAQs on Shear Stress for Long Fillet Weld Subjected to Torsion

Variable Name

GoShear Stress on Circular Fillet Weld Subjected to Torsion Formula

GoTorsional Shear Stress in Weld Formula