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*σs/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*σs/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 00.004 seconds)

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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

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

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