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Shear Stress on Circular Fillet Weld Subjected to Torsion Formula

GoShear Stress for Long 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{Mt t}{π \cdot h t \cdot r^{2}}

σ_s - Torsional Shear Stress?Mt_t - Torsional Moment in Welded Shaft?h_t - Throat Thickness of Weld?r - Radius of Welded Shaft?π - Archimedes' constant?

Shear Stress on Circular Fillet Weld Subjected to Torsion Example

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

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

Here is how the Shear Stress on Circular Fillet Weld Subjected to Torsion equation looks like.

44.139 = \frac{1.3E+6}{3.1416 \cdot 15 \cdot 25^{2}}

44.139N/mm² = \frac{1.3E+6N*mm}{3.1416 \cdot 15mm \cdot {25mm}^{2}}

44.139 = \frac{1.3E+6}{3.1416 \cdot 15 \cdot 25^{2}}

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Shear Stress on Circular Fillet Weld Subjected to Torsion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ s = \frac{1.3E+6N*mm}{π \cdot 15mm \cdot {25mm}^{2}}

Next Step Substitute values of Constants

∴

σ s = \frac{1.3E+6N*mm}{3.1416 \cdot 15mm \cdot {25mm}^{2}}

Next Step Convert Units

∴

σ s = \frac{1300N*m}{3.1416 \cdot 0.015m \cdot {0.025m}^{2}}

Next Step Prepare to Evaluate

∴

σ s = \frac{1300}{3.1416 \cdot 0.015 \cdot {0.025}^{2}}

Next Step Evaluate

∴

σ s = 44138970.8841523Pa

Next Step Convert to Output's Unit

∴

σ s = 44.1389708841523N/mm²

LAST Step Rounding Answer

∴

σ s = 44.139N/mm²

Shear Stress on Circular Fillet Weld Subjected to Torsion 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

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

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

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 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 on Circular Fillet Weld Subjected to Torsion?

Shear Stress on Circular Fillet Weld Subjected to Torsion evaluator uses Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2) to evaluate the Torsional Shear Stress, The shear stress on circular fillet weld subjected to torsion is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Torsional Shear Stress is denoted by σ_s symbol.

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

FAQs on Shear Stress on Circular Fillet Weld Subjected to Torsion

What is the formula to find Shear Stress on Circular Fillet Weld Subjected to Torsion?

The formula of Shear Stress on Circular Fillet Weld Subjected to Torsion is expressed as Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2). Here is an example- 4.4E-5 = 1300/(pi*0.015*0.025^2).

How to calculate Shear Stress on Circular Fillet Weld Subjected to Torsion?

With Torsional Moment in Welded Shaft (Mt_t), Throat Thickness of Weld (h_t) & Radius of Welded Shaft (r) we can find Shear Stress on Circular Fillet Weld Subjected to Torsion using the formula - Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2). 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/(2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft)

Can the Shear Stress on Circular Fillet Weld Subjected to Torsion be negative?

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

Which unit is used to measure Shear Stress on Circular Fillet Weld Subjected to Torsion?

Shear Stress on Circular 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 on Circular Fillet Weld Subjected to Torsion can be measured.

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Shear Stress on Circular Fillet Weld Subjected to Torsion Formula

​GoShear Stress for Long Fillet Weld Subjected to Torsion Formula

​GoTorsional Shear Stress in Weld Formula

Shear Stress on Circular Fillet Weld Subjected to Torsion Example

Shear Stress on Circular Fillet Weld Subjected to Torsion Solution

Shear Stress on Circular 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 on Circular Fillet Weld Subjected to Torsion?

FAQs on Shear Stress on Circular Fillet Weld Subjected to Torsion

Variable Name

GoShear Stress for Long Fillet Weld Subjected to Torsion Formula

GoTorsional Shear Stress in Weld Formula