Torsional Shear Stress in Weld Calculator

✖Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft.ⓘ Torsional Moment in Welded Shaft [Mt_t]			+10% -10%
✖Radius of welded shaft is the radius of the shaft subjected to torsion.ⓘ Radius of Welded Shaft [r]			+10% -10%
✖Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.ⓘ Thickness of welded shaft [t]			+10% -10%

✖Torsional Shear Stress is the shear stress produced against torsional load or twisting load.ⓘ Torsional Shear Stress in Weld [σ_s]

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Torsional Shear Stress in Weld

Formula

`"σ"_{"s"} = "Mt"_{"t"}/(2*pi*"r"^2*"t")`

Example

`"73.56495N/mm²"="1.3E6N*mm"/(2*pi*("25mm")^2*"4.5mm")`

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Torsional Shear Stress in Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft)
σ_s = Mt_t/(2*pi*r^2*t)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.
Torsional Moment in Welded Shaft - (Measured in Newton Meter) - Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft.
Radius of Welded Shaft - (Measured in Meter) - Radius of welded shaft is the radius of the shaft subjected to torsion.
Thickness of welded shaft - (Measured in Meter) - Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment in Welded Shaft: 1300000 Newton Millimeter --> 1300 Newton Meter (Check conversion here)
Radius of Welded Shaft: 25 Millimeter --> 0.025 Meter (Check conversion here)
Thickness of welded shaft: 4.5 Millimeter --> 0.0045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_s = Mt_t/(2*pi*r^2*t) --> 1300/(2*pi*0.025^2*0.0045)

Evaluating ... ...

σ_s = 73564951.4735872

STEP 3: Convert Result to Output's Unit

73564951.4735872 Pascal -->73.5649514735872 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

73.5649514735872 ≈ 73.56495 Newton per Square Millimeter <-- Torsional Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Welded Joints » Welded Joints Subjected to Torsional Moment » Torsional Shear Stress in Weld

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Welded Joints Subjected to Torsional Moment Calculators

Radius of Shaft given Torsional Shear Stress in Weld

Go Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft))

Thickness of Shaft given Torsional Shear Stress in Weld

Go Thickness of welded shaft = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Torsional Shear Stress)

Torsional Shear Stress in Weld

Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft)

Torsional Moment given Torsional Shear Stress in Weld

Go Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of welded shaft*Torsional Shear Stress

Shear Stress on Circular Fillet Weld Subjected to Torsion

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

Polar Moment of Inertia of Thickened Hollow Welded Shaft

Go Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of welded shaft*Radius of Welded Shaft^3)

Shear Stress for Long Fillet Weld Subjected to Torsion

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

Torsional Shear Stress in Weld Formula

Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft)
σ_s = Mt_t/(2*pi*r^2*t)

Define Torsional Shear Stress?

Torsional shear is shear formed by torsion exerted on a beam. Torsion occurs when two forces of similar value are applied in opposite directions, causing torque. The wind causes the sign to twist, and this twist causes shear stress to be exerted along the cross section of the structural member.

How to Calculate Torsional Shear Stress in Weld?

Torsional Shear Stress in Weld calculator uses Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft) to calculate 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 calculate Torsional Shear Stress in Weld using this online calculator? To use this online calculator 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. Here is how the Torsional Shear Stress in Weld calculation can be explained with given input values -> 7.4E-5 = 1300/(2*pi*0.025^2*0.0045).

FAQ

What is Torsional Shear Stress in Weld?

The Torsional Shear Stress in Weld formula is defined as the shear formed by torsion exerted on a beam and is represented as σ_s = Mt_t/(2*pi*r^2*t) or Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft). Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft, Radius of welded shaft is the radius of the shaft subjected to torsion & Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.

How to calculate Torsional Shear Stress in Weld?

The Torsional Shear Stress in Weld formula is defined as the shear formed by torsion exerted on a beam is calculated using Torsional Shear Stress = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Thickness of welded shaft). To calculate Torsional Shear Stress in Weld, you need Torsional Moment in Welded Shaft (Mt_t), Radius of Welded Shaft (r) & Thickness of welded shaft (t). With our tool, you need to enter the respective value for Torsional Moment in Welded Shaft, Radius of Welded Shaft & Thickness of welded shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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