Radius of Shaft given 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%
✖Torsional Shear Stress is the shear stress produced against torsional load or twisting load.ⓘ Torsional Shear Stress [σ_s]			+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%

✖Radius of welded shaft is the radius of the shaft subjected to torsion.ⓘ Radius of Shaft given Torsional Shear Stress in Weld [r]

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Radius of Shaft given Torsional Shear Stress in Weld

Formula

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

Example

`"24.75967mm"=sqrt("1.3E6N*mm"/(2*pi*"75N/mm²"*"4.5mm"))`

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Radius of Shaft given Torsional Shear Stress in Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Welded Shaft - (Measured in Meter) - Radius of welded shaft is the radius of the shaft subjected to torsion.
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.
Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.
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)
Torsional Shear Stress: 75 Newton per Square Millimeter --> 75000000 Pascal (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

r = sqrt(Mt_t/(2*pi*σ_s*t)) --> sqrt(1300/(2*pi*75000000*0.0045))

Evaluating ... ...

r = 0.0247596700761519

STEP 3: Convert Result to Output's Unit

0.0247596700761519 Meter -->24.7596700761519 Millimeter (Check conversion here)

FINAL ANSWER

24.7596700761519 ≈ 24.75967 Millimeter <-- Radius of Welded Shaft

(Calculation completed in 00.004 seconds)

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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)

Radius of Shaft given Torsional Shear Stress in Weld Formula

Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft))
r = sqrt(Mt_t/(2*pi*σ_s*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 Radius of Shaft given Torsional Shear Stress in Weld?

Radius of Shaft given Torsional Shear Stress in Weld calculator uses Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft)) to calculate the Radius of Welded Shaft, The Radius of Shaft given Torsional Shear Stress in Weld formula is defined as the radius of the Shaft that we have welded and applied a bending Moment. Radius of Welded Shaft is denoted by r symbol.

How to calculate Radius of Shaft given Torsional Shear Stress in Weld using this online calculator? To use this online calculator for Radius of Shaft given Torsional Shear Stress in Weld, enter Torsional Moment in Welded Shaft (Mt_t), Torsional Shear Stress (σ_s) & Thickness of welded shaft (t) and hit the calculate button. Here is how the Radius of Shaft given Torsional Shear Stress in Weld calculation can be explained with given input values -> 24759.67 = sqrt(1300/(2*pi*75000000*0.0045)).

FAQ

What is Radius of Shaft given Torsional Shear Stress in Weld?

The Radius of Shaft given Torsional Shear Stress in Weld formula is defined as the radius of the Shaft that we have welded and applied a bending Moment and is represented as r = sqrt(Mt_t/(2*pi*σ_s*t)) or Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft)). Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft, Torsional Shear Stress is the shear stress produced against torsional load or twisting load & Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.

How to calculate Radius of Shaft given Torsional Shear Stress in Weld?

The Radius of Shaft given Torsional Shear Stress in Weld formula is defined as the radius of the Shaft that we have welded and applied a bending Moment is calculated using Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of welded shaft)). To calculate Radius of Shaft given Torsional Shear Stress in Weld, you need Torsional Moment in Welded Shaft (Mt_t), Torsional Shear Stress (σ_s) & Thickness of welded shaft (t). With our tool, you need to enter the respective value for Torsional Moment in Welded Shaft, Torsional Shear Stress & 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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