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

✖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 [σ_s]			+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%

✖Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.ⓘ Couple on Weld given Torsional Shear Stress in Throat Area of Weld [M]

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Formula

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

Formula

`"M" = "J"*"σ"_{"s"}/"r"`

Example

`"964285.7N*mm"="450000mm⁴"*"75N/mm²"/"35mm"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Polar Moment of Inertia of Welds: 450000 Millimeter⁴ --> 4.5E-07 Meter⁴ (Check conversion here)
Torsional Shear Stress: 75 Newton per Square Millimeter --> 75000000 Pascal (Check conversion here)
Distance from Weld to Center of Gravity: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = J*σ_s/r --> 4.5E-07*75000000/0.035

Evaluating ... ...

M = 964.285714285714

STEP 3: Convert Result to Output's Unit

964.285714285714 Newton Meter -->964285.714285714 Newton Millimeter (Check conversion here)

FINAL ANSWER

964285.714285714 ≈ 964285.7 Newton Millimeter <-- Couple on weld

(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 » Couple on Weld given 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

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

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

Define Tosrional 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 Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

Couple on Weld given Torsional Shear Stress in Throat Area of Weld calculator uses Couple on weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity to calculate the Couple on weld, Couple on Weld given Torsional Shear Stress in Throat Area of Weld is defined as the pair of equal parallel forces that are opposite in direction. The only effect of a couple is to produce or prevent the turning of a body. Couple on weld is denoted by M symbol.

How to calculate Couple on Weld given Torsional Shear Stress in Throat Area of Weld using this online calculator? To use this online calculator for Couple on Weld given Torsional Shear Stress in Throat Area of Weld, enter Polar Moment of Inertia of Welds (J), Torsional Shear Stress (σ_s) & Distance from Weld to Center of Gravity (r) and hit the calculate button. Here is how the Couple on Weld given Torsional Shear Stress in Throat Area of Weld calculation can be explained with given input values -> 9.6E+8 = 4.5E-07*75000000/0.035.

FAQ

What is Couple on Weld given Torsional Shear Stress in Throat Area of Weld?

Couple on Weld given Torsional Shear Stress in Throat Area of Weld is defined as the pair of equal parallel forces that are opposite in direction. The only effect of a couple is to produce or prevent the turning of a body and is represented as M = J*σ_s/r or Couple on weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity. Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity, Torsional Shear Stress is the shear stress produced against torsional load or twisting load & 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.

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

Couple on Weld given Torsional Shear Stress in Throat Area of Weld is defined as the pair of equal parallel forces that are opposite in direction. The only effect of a couple is to produce or prevent the turning of a body is calculated using Couple on weld = Polar Moment of Inertia of Welds*Torsional Shear Stress/Distance from Weld to Center of Gravity. To calculate Couple on Weld given Torsional Shear Stress in Throat Area of Weld, you need Polar Moment of Inertia of Welds (J), Torsional Shear Stress (σ_s) & Distance from Weld to Center of Gravity (r). With our tool, you need to enter the respective value for Polar Moment of Inertia of Welds, Torsional Shear Stress & Distance from Weld to Center of Gravity 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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