Torsional Moment given Torsional Shear Stress in Weld Calculator

✖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 [σ_s]			+10% -10%

✖Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft.ⓘ Torsional Moment given Torsional Shear Stress in Weld [Mt_t]

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Torsional Moment given Torsional Shear Stress in Weld

Formula

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

Example

`"1.3E^6N*mm"=2*pi*("25mm")^2*"4.5mm"*"75N/mm²"`

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Torsional Moment given Torsional Shear Stress in Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

STEP 1: Convert Input(s) to Base Unit

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)
Torsional Shear Stress: 75 Newton per Square Millimeter --> 75000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_t = 2*pi*r^2*t*σ_s --> 2*pi*0.025^2*0.0045*75000000

Evaluating ... ...

Mt_t = 1325.35940073319

STEP 3: Convert Result to Output's Unit

1325.35940073319 Newton Meter -->1325359.40073319 Newton Millimeter (Check conversion here)

FINAL ANSWER

1325359.40073319 ≈ 1.3E+6 Newton Millimeter <-- Torsional Moment in Welded Shaft

(Calculation completed in 00.005 seconds)

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Osmania University (OU), Hyderabad

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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 Moment given Torsional Shear Stress in Weld Formula

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

Define Torsion?

torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf). In sections perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius.

How to Calculate Torsional Moment given Torsional Shear Stress in Weld?

Torsional Moment given Torsional Shear Stress in Weld calculator uses Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of welded shaft*Torsional Shear Stress to calculate the Torsional Moment in Welded Shaft, The Torsional Moment given Torsional Shear Stress in Weld formula is defined as the twisting of a part by application of equal and opposite torques. The condition of twist and shear stress produced by a torque on a part or component. Torsional Moment in Welded Shaft is denoted by Mt_t symbol.

How to calculate Torsional Moment given Torsional Shear Stress in Weld using this online calculator? To use this online calculator for Torsional Moment given Torsional Shear Stress in Weld, enter Radius of Welded Shaft (r), Thickness of welded shaft (t) & Torsional Shear Stress (σ_s) and hit the calculate button. Here is how the Torsional Moment given Torsional Shear Stress in Weld calculation can be explained with given input values -> 1.3E+9 = 2*pi*0.025^2*0.0045*75000000.

FAQ

What is Torsional Moment given Torsional Shear Stress in Weld?

The Torsional Moment given Torsional Shear Stress in Weld formula is defined as the twisting of a part by application of equal and opposite torques. The condition of twist and shear stress produced by a torque on a part or component and is represented as Mt_t = 2*pi*r^2*t*σ_s or Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of welded shaft*Torsional Shear Stress. 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 & Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

How to calculate Torsional Moment given Torsional Shear Stress in Weld?

The Torsional Moment given Torsional Shear Stress in Weld formula is defined as the twisting of a part by application of equal and opposite torques. The condition of twist and shear stress produced by a torque on a part or component is calculated using Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of welded shaft*Torsional Shear Stress. To calculate Torsional Moment given Torsional Shear Stress in Weld, you need Radius of Welded Shaft (r), Thickness of welded shaft (t) & Torsional Shear Stress (σ_s). With our tool, you need to enter the respective value for Radius of Welded Shaft, Thickness of welded shaft & Torsional Shear Stress 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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