Radius of shaft given shear stress 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%
✖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%
✖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%

✖The Radius of Shaft is the radius of the shaft subjected under torsion.ⓘ Radius of shaft given shear stress at radius r from center [r_shaft]

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Radius of shaft given shear stress at radius r from center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius of Shaft - (Measured in Meter) - The Radius of Shaft is the radius of the shaft subjected under torsion.
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.
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.
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)
Shear stress at radius 'r' from shaft: 6 Megapascal --> 6000000 Pascal (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

r_shaft = (r_center/q)*𝜏 --> (1.5/6000000)*4

Evaluating ... ...

r_shaft = 1E-06

STEP 3: Convert Result to Output's Unit

1E-06 Meter -->0.001 Millimeter (Check conversion here)

FINAL ANSWER

0.001 Millimeter <-- Radius of Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Expression for Strain Energy stored in a Body Due to Torsion » Radius of shaft given shear stress at radius r from center

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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)

Radius of shaft given shear stress at radius r from center Formula

LaTeX Go

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

Radius of shaft given shear stress at radius r from center calculator uses Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft to calculate the Radius of Shaft, Radius of shaft given shear stress at radius r from center is a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius of Shaft is denoted by r_shaft symbol.

How to calculate Radius of shaft given shear stress at radius r from center using this online calculator? To use this online calculator for Radius of shaft given shear stress at radius r from center, enter Radius 'r' from Center Of Shaft (r_center), Shear stress at radius 'r' from shaft (q) & Shear stress on surface of shaft (𝜏) and hit the calculate button. Here is how the Radius of shaft given shear stress at radius r from center calculation can be explained with given input values -> 1 = (1.5/6000000)*4.

FAQ

What is Radius of shaft given shear stress at radius r from center?

Radius of shaft given shear stress at radius r from center is a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as r_shaft = (r_center/q)*𝜏 or Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from 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, 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 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 Radius of shaft given shear stress at radius r from center?

Radius of shaft given shear stress at radius r from center is a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft. To calculate Radius of shaft given shear stress at radius r from center, you need Radius 'r' from Center Of Shaft (r_center), Shear stress at radius 'r' from shaft (q) & Shear stress on surface of shaft (𝜏). With our tool, you need to enter the respective value for Radius 'r' from Center Of Shaft, Shear stress at radius 'r' from 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.

How many ways are there to calculate Radius of Shaft?

In this formula, Radius of Shaft uses Radius 'r' from Center Of Shaft, Shear stress at radius 'r' from shaft & Shear stress on surface of shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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