Distance of point in Weld from Center of Gravity given Torsional Shear Stress 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%
✖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 of point in Weld from Center of Gravity given Torsional Shear Stress [r]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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)
Couple on Weld: 964000 Newton Millimeter --> 964 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = J*σ_s/M --> 4.5E-07*75000000/964

Evaluating ... ...

r = 0.0350103734439834

STEP 3: Convert Result to Output's Unit

0.0350103734439834 Meter -->35.0103734439834 Millimeter (Check conversion here)

FINAL ANSWER

35.0103734439834 ≈ 35.01037 Millimeter <-- Distance from Weld to Center of Gravity

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Eccentric Load in Plane of Welds Calculators

Torsional Shear Stress in Throat Area of Weld

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

Throat Area of Weld given Primary Shear Stress

LaTeX Go Throat Area of Welds = Direct Load on Weld/Primary Shear Stress in Weld

Load acting on Weld given Primary Stress

LaTeX Go Direct Load on Weld = Primary Shear Stress in Weld*Throat Area of Welds

Primary Shear Stress in Weld

LaTeX Go Primary Shear Stress in Weld = Direct Load on Weld/Throat Area of Welds

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

LaTeX Go

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

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

Distance of point in Weld from Center of Gravity given Torsional Shear Stress calculator uses Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on Weld to calculate the Distance from Weld to Center of Gravity, Distance of point in Weld from Center of Gravity given Torsional Shear Stress is defined as the distance in between the weld surface to the center of gravity of all welds. Distance from Weld to Center of Gravity is denoted by r symbol.

How to calculate Distance of point in Weld from Center of Gravity given Torsional Shear Stress using this online calculator? To use this online calculator for Distance of point in Weld from Center of Gravity given Torsional Shear Stress, enter Polar Moment of Inertia of Welds (J), Torsional Shear Stress (σ_s) & Couple on Weld (M) and hit the calculate button. Here is how the Distance of point in Weld from Center of Gravity given Torsional Shear Stress calculation can be explained with given input values -> 35010.37 = 4.5E-07*75000000/964.

FAQ

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

Distance of point in Weld from Center of Gravity given Torsional Shear Stress is defined as the distance in between the weld surface to the center of gravity of all welds and is represented as r = J*σ_s/M or Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on Weld. 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 & Couple on weld is a system of forces acting onto the weld with a resultant moment but no resultant force.

How to calculate Distance of point in Weld from Center of Gravity given Torsional Shear Stress?

Distance of point in Weld from Center of Gravity given Torsional Shear Stress is defined as the distance in between the weld surface to the center of gravity of all welds is calculated using Distance from Weld to Center of Gravity = Polar Moment of Inertia of Welds*Torsional Shear Stress/Couple on Weld. To calculate Distance of point in Weld from Center of Gravity given Torsional Shear Stress, you need Polar Moment of Inertia of Welds (J), Torsional Shear Stress (σ_s) & Couple on Weld (M). With our tool, you need to enter the respective value for Polar Moment of Inertia of Welds, Torsional Shear Stress & Couple on Weld 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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