Shear stress at surface of shaft given shear stress at radius 'r' from center Calculator

✖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 at radius 'r' from shaft [q]			+10% -10%
✖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 at surface of shaft given shear stress at radius 'r' from center [𝜏]

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Shear stress at surface of shaft given shear stress at radius 'r' from center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear stress at radius 'r' from shaft: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Radius 'r' from Center Of Shaft: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Radius of Shaft: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = q/(r_center/r_shaft) --> 6000000/(1.5/2)

Evaluating ... ...

𝜏 = 8000000

STEP 3: Convert Result to Output's Unit

8000000 Pascal -->8 Megapascal (Check conversion here)

FINAL ANSWER

8 Megapascal <-- Shear stress on surface of shaft

(Calculation completed in 00.020 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 at surface of shaft given shear stress at radius 'r' from center Formula

LaTeX Go

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

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 and has units of in-lbf in US Customary units and N-m in SI units.

How to Calculate Shear stress at surface of shaft given shear stress at radius 'r' from center?

Shear stress at surface of shaft given shear stress at radius 'r' from center calculator uses Shear stress on surface of shaft = Shear stress at radius 'r' from shaft/(Radius 'r' from Center Of Shaft/Radius of Shaft) to calculate the Shear stress on surface of shaft, Shear stress at surface of shaft given shear stress at radius 'r' from center is a 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 is denoted by 𝜏 symbol.

How to calculate Shear stress at surface of shaft given shear stress at radius 'r' from center using this online calculator? To use this online calculator for Shear stress at surface of shaft given shear stress at radius 'r' from center, enter Shear stress at radius 'r' from shaft (q), Radius 'r' from Center Of Shaft (r_center) & Radius of Shaft (r_shaft) and hit the calculate button. Here is how the Shear stress at surface of shaft given shear stress at radius 'r' from center calculation can be explained with given input values -> 8E-6 = 6000000/(1.5/2).

FAQ

What is Shear stress at surface of shaft given shear stress at radius 'r' from center?

Shear stress at surface of shaft given shear stress at radius 'r' from center is 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 𝜏 = q/(r_center/r_shaft) or Shear stress on surface of shaft = Shear stress at radius 'r' from shaft/(Radius 'r' from Center Of Shaft/Radius of Shaft). 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 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.

How to calculate Shear stress at surface of shaft given shear stress at radius 'r' from center?

Shear stress at surface of shaft given shear stress at radius 'r' from center is 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 on surface of shaft = Shear stress at radius 'r' from shaft/(Radius 'r' from Center Of Shaft/Radius of Shaft). To calculate Shear stress at surface of shaft given shear stress at radius 'r' from center, you need Shear stress at radius 'r' from shaft (q), Radius 'r' from Center Of Shaft (r_center) & Radius of Shaft (r_shaft). With our tool, you need to enter the respective value for Shear stress at radius 'r' from shaft, Radius 'r' from Center Of Shaft & Radius of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shear stress on surface of shaft?

In this formula, Shear stress on surface of shaft uses Shear stress at radius 'r' from shaft, Radius 'r' from Center Of Shaft & Radius of Shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -

Shear stress on surface of shaft = sqrt((Strain Energy in body*2*Modulus of rigidity of Shaft)/Volume of Shaft)
Shear stress on surface of shaft = sqrt((Strain Energy in body*(2*Modulus of rigidity of Shaft*(Radius of Shaft^2)))/(2*pi*Length of Shaft*(Radius 'r' from Center Of Shaft^3)*Length of Small Element))
Shear stress on surface of shaft = sqrt((Strain Energy in body*(2*Modulus of rigidity of Shaft*(Radius of Shaft^2)))/(Length of Shaft*Polar Moment of Inertia of shaft))

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