Shear Stress on Circular Fillet Weld Subjected to Torsion 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%
✖Throat thickness of weld is the shortest distance from the root to the face of the weld.ⓘ Throat Thickness of Weld [h_t]			+10% -10%
✖Radius of welded shaft is the radius of the shaft subjected to torsion.ⓘ Radius of Welded Shaft [r]			+10% -10%

✖Torsional Shear Stress is the shear stress produced against torsional load or twisting load.ⓘ Shear Stress on Circular Fillet Weld Subjected to Torsion [σ_s]

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Formula

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Shear Stress on Circular Fillet Weld Subjected to Torsion

Formula

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

Example

`"44.13897N/mm²"="1.3E6N*mm"/(pi*"15mm"*("25mm")^2)`

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Shear Stress on Circular Fillet Weld Subjected to Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)
σ_s = Mt_t/(pi*h_t*r^2)
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.
Throat Thickness of Weld - (Measured in Meter) - Throat thickness of weld is the shortest distance from the root to the face of the weld.
Radius of Welded Shaft - (Measured in Meter) - Radius of welded shaft is the radius of the shaft subjected to torsion.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment in Welded Shaft: 1300000 Newton Millimeter --> 1300 Newton Meter (Check conversion here)
Throat Thickness of Weld: 15 Millimeter --> 0.015 Meter (Check conversion here)
Radius of Welded Shaft: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_s = Mt_t/(pi*h_t*r^2) --> 1300/(pi*0.015*0.025^2)

Evaluating ... ...

σ_s = 44138970.8841523

STEP 3: Convert Result to Output's Unit

44138970.8841523 Pascal -->44.1389708841523 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

44.1389708841523 ≈ 44.13897 Newton per Square Millimeter <-- Torsional Shear Stress

(Calculation completed in 00.004 seconds)

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< 9 Stress in Design Calculators

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)

Torsional Shear Stress in Bar

Go Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)

Maximum Bending Stress

Go Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)

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)

Shear Stress in Parallel Fillet Weld

Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Bolt Stress

Go Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)

Bending Stress in Shaft

Go Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3)

Maximum Bending Stress given Rectangular Section Modulus

Go Maximum Bending Stress = Bending Moment/Rectangular Section Modulus

< 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)

Shear Stress on Circular Fillet Weld Subjected to Torsion Formula

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

What is shear stress?

Shear stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Its S.I. unit of stress is N m-2 or Pa (pascal) .

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

Shear Stress on Circular Fillet Weld Subjected to Torsion calculator uses Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2) to calculate 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 calculate Shear Stress on Circular Fillet Weld Subjected to Torsion using this online calculator? To use this online calculator 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. Here is how the Shear Stress on Circular Fillet Weld Subjected to Torsion calculation can be explained with given input values -> 4.4E-5 = 1300/(pi*0.015*0.025^2).

FAQ

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

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 and is represented as σ_s = Mt_t/(pi*h_t*r^2) or Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2). Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft, Throat thickness of weld is the shortest distance from the root to the face of the weld & Radius of welded shaft is the radius of the shaft subjected to torsion.

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

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 is calculated using Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2). To calculate Shear Stress on Circular Fillet Weld Subjected to Torsion, you need Torsional Moment in Welded Shaft (Mt_t), Throat Thickness of Weld (h_t) & Radius of Welded Shaft (r). With our tool, you need to enter the respective value for Torsional Moment in Welded Shaft, Throat Thickness of Weld & Radius of Welded Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torsional Shear Stress?

In this formula, Torsional Shear Stress uses Torsional Moment in Welded Shaft, Throat Thickness of Weld & Radius of Welded Shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -

Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)
Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)
Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)

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