Torsional Shear Stress in Throat Area of Weld Calculator

✖Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.ⓘ Couple on weld [M]			+10% -10%
✖Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld.ⓘ Distance from Weld to Center of Gravity [r]			+10% -10%
✖Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.ⓘ Polar Moment of Inertia of Welds [J]			+10% -10%

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

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Formula

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Torsional Shear Stress in Throat Area of Weld

Formula

`"σ"_{"s"} = "M"*"r"/"J"`

Example

`"74.97778N/mm²"="9.64E^5N*mm"*"35mm"/"450000mm⁴"`

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Torsional Shear Stress in Throat Area of Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds
σ_s = M*r/J
This formula uses 4 Variables

Variables Used

Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.
Couple on weld - (Measured in Newton Meter) - Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.
Distance from Weld to Center of Gravity - (Measured in Meter) - Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld.
Polar Moment of Inertia of Welds - (Measured in Meter⁴) - Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.

STEP 1: Convert Input(s) to Base Unit

Couple on weld: 964000 Newton Millimeter --> 964 Newton Meter (Check conversion here)
Distance from Weld to Center of Gravity: 35 Millimeter --> 0.035 Meter (Check conversion here)
Polar Moment of Inertia of Welds: 450000 Millimeter⁴ --> 4.5E-07 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_s = M*r/J --> 964*0.035/4.5E-07

Evaluating ... ...

σ_s = 74977777.7777778

STEP 3: Convert Result to Output's Unit

74977777.7777778 Pascal -->74.9777777777778 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

74.9777777777778 ≈ 74.97778 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 » Eccentric Load in Plane of Welds » Torsional Shear Stress in Throat Area of Weld

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Osmania University (OU), Hyderabad

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< 10+ Eccentric Load in Plane of Welds Calculators

Polar Moment of Inertia of Weld about Center of Gravity given Torsional Shear Stress

Go Polar Moment of Inertia of Welds = Couple on weld*Distance from Weld to Center of Gravity/Torsional Shear Stress

Distance of point in Weld from Center of Gravity given Torsional Shear Stress

Go Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on weld

Couple on Weld given Torsional Shear Stress in Throat Area of Weld

Go Couple on weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity

Torsional Shear Stress in Throat Area of Weld

Go Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds

Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity

Go Length of Weld = sqrt(12*Polar Moment of Inertia of Welds/Throat Area of Welds)

Throat Area of Weld given Polar Moment of Inertia of Weld about Center

Go Throat Area of Welds = 12*Polar Moment of Inertia of Welds/(Length of Weld^2)

Polar Moment of Inertia of Weld about Center of Gravity

Go Polar Moment of Inertia of Welds = Throat Area of Welds*(Length of Weld^2)/12

Throat Area of Weld given Primary Shear Stress

Go Throat Area of Welds = Direct load on weld/Primary shear stress in weld

Load acting on Weld given Primary Stress

Go Direct load on weld = Primary shear stress in weld*Throat Area of Welds

Primary Shear Stress in Weld

Go Primary shear stress in weld = Direct load on weld/Throat Area of Welds

Torsional Shear Stress in Throat Area of Weld Formula

Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds
σ_s = M*r/J

Define Torsional Shear Stress?

Torque on a shaft causes shear stress. The torsion, or twist, induced when torque is applied to a shaft causes a distribution of stress over the shaft's cross-sectional area. (Note that this is different from tensile and compressive loads, which produce a uniform stress over the object's cross-section.)

How to Calculate Torsional Shear Stress in Throat Area of Weld?

Torsional Shear Stress in Throat Area of Weld calculator uses Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds to calculate the Torsional Shear Stress, Torsional Shear Stress in Throat Area of Weld is defined as the torsion, or twist, induced when torque is applied to a shaft and causes a distribution of stress over the shaft's cross-sectional area. Torsional Shear Stress is denoted by σ_s symbol.

How to calculate Torsional Shear Stress in Throat Area of Weld using this online calculator? To use this online calculator for Torsional Shear Stress in Throat Area of Weld, enter Couple on weld (M), Distance from Weld to Center of Gravity (r) & Polar Moment of Inertia of Welds (J) and hit the calculate button. Here is how the Torsional Shear Stress in Throat Area of Weld calculation can be explained with given input values -> 7.5E-5 = 964*0.035/4.5E-07.

FAQ

What is Torsional Shear Stress in Throat Area of Weld?

Torsional Shear Stress in Throat Area of Weld is defined as the torsion, or twist, induced when torque is applied to a shaft and causes a distribution of stress over the shaft's cross-sectional area and is represented as σ_s = M*r/J or Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds. Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force, Distance from Weld to Center of Gravity is defined as the distance the surface of the weld to the point of center of gravity of the Weld & Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.

How to calculate Torsional Shear Stress in Throat Area of Weld?

Torsional Shear Stress in Throat Area of Weld is defined as the torsion, or twist, induced when torque is applied to a shaft and causes a distribution of stress over the shaft's cross-sectional area is calculated using Torsional Shear Stress = Couple on weld*Distance from Weld to Center of Gravity/Polar Moment of Inertia of Welds. To calculate Torsional Shear Stress in Throat Area of Weld, you need Couple on weld (M), Distance from Weld to Center of Gravity (r) & Polar Moment of Inertia of Welds (J). With our tool, you need to enter the respective value for Couple on weld, Distance from Weld to Center of Gravity & Polar Moment of Inertia of Welds 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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