Shear stress due to torsion at radius 'r' from center Calculator

✖Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve.ⓘ Radius 'r' from Center Of Shaft [r_center]			+10% -10%
✖The Radius of Shaft is the radius of the shaft subjected under torsion.ⓘ Radius of Shaft [r_shaft]			+10% -10%
✖Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear stress on surface of shaft [𝜏]			+10% -10%

✖Shear stress at radius 'r' from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear stress due to torsion at radius 'r' from center [q]

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Shear stress due to torsion at radius 'r' from center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft
q = (r_center/r_shaft)*𝜏
This formula uses 4 Variables

Variables Used

Shear stress at radius 'r' from shaft - (Measured in Pascal) - Shear stress at radius 'r' from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Radius 'r' from Center Of Shaft - (Measured in Meter) - Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve.
Radius of Shaft - (Measured in Meter) - The Radius of Shaft is the radius of the shaft subjected under torsion.
Shear stress on surface of shaft - (Measured in Pascal) - Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Radius 'r' from Center Of Shaft: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Radius of Shaft: 2000 Millimeter --> 2 Meter (Check conversion here)
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (r_center/r_shaft)*𝜏 --> (1.5/2)*4

Evaluating ... ...

q = 3

STEP 3: Convert Result to Output's Unit

3 Pascal -->3E-06 Megapascal (Check conversion here)

FINAL ANSWER

3E-06 ≈ 3E-6 Megapascal <-- Shear stress at radius 'r' from shaft

(Calculation completed in 00.007 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Expression for Strain Energy stored in a Body Due to Torsion Calculators

Value of radius 'r' given shear stress at radius 'r' from center

LaTeX Go Radius 'r' from Center Of Shaft = (Shear stress at radius 'r' from shaft*Radius of Shaft)/Shear stress on surface of shaft

Radius of shaft given shear stress at radius r from center

LaTeX Go Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft

Modulus of rigidity given shear strain energy

LaTeX Go Modulus of rigidity of Shaft = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Strain Energy in body)

Shear strain energy

LaTeX Go Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft)

Shear stress due to torsion at radius 'r' from center Formula

LaTeX Go

Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft
q = (r_center/r_shaft)*𝜏

Is strain energy a material property?

The strain energy (i.e. the amount of potential energy stored due to the deformation) is equal to the work expended in deforming the material. The total strain energy corresponds to the area under the load-deflection curve.

How to Calculate Shear stress due to torsion at radius 'r' from center?

Shear stress due to torsion at radius 'r' from center calculator uses Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft to calculate the Shear stress at radius 'r' from shaft, Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear stress at radius 'r' from shaft is denoted by q symbol.

How to calculate Shear stress due to torsion at radius 'r' from center using this online calculator? To use this online calculator for Shear stress due to torsion at radius 'r' from center, enter Radius 'r' from Center Of Shaft (r_center), Radius of Shaft (r_shaft) & Shear stress on surface of shaft (𝜏) and hit the calculate button. Here is how the Shear stress due to torsion at radius 'r' from center calculation can be explained with given input values -> 3E-12 = (1.5/2)*4.

FAQ

What is Shear stress due to torsion at radius 'r' from center?

Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as q = (r_center/r_shaft)*𝜏 or Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft. Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve, The Radius of Shaft is the radius of the shaft subjected under torsion & Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Shear stress due to torsion at radius 'r' from center?

Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft. To calculate Shear stress due to torsion at radius 'r' from center, you need Radius 'r' from Center Of Shaft (r_center), Radius of Shaft (r_shaft) & Shear stress on surface of shaft (𝜏). With our tool, you need to enter the respective value for Radius 'r' from Center Of Shaft, Radius of Shaft & Shear stress on surface of shaft 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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