Volume of shaft given total strain energy in hollow shaft Calculator

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Strain Energy in body [U]			+10% -10%
✖Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of rigidity of Shaft [G]			+10% -10%
✖Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Shaft [d_outer]			+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 Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.ⓘ Inner Diameter of Shaft [d_inner]			+10% -10%

✖The Volume of Shaft is the volume of cylindical component under torsion.ⓘ Volume of shaft given total strain energy in hollow shaft [V]

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Volume of shaft given total strain energy in hollow shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Shaft = (Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2)))
V = (U*(4*G*(d_outer^2)))/((𝜏^2)*((d_outer^2)+(d_inner^2)))
This formula uses 6 Variables

Variables Used

Volume of Shaft - (Measured in Cubic Meter) - The Volume of Shaft is the volume of cylindical component under torsion.
Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
Modulus of rigidity of Shaft - (Measured in Pascal) - Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Outer Diameter of Shaft - (Measured in Meter) - Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.
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.
Inner Diameter of Shaft - (Measured in Meter) - The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.

STEP 1: Convert Input(s) to Base Unit

Strain Energy in body: 50 Kilojoule --> 50000 Joule (Check conversion here)
Modulus of rigidity of Shaft: 4E-05 Megapascal --> 40 Pascal (Check conversion here)
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)
Inner Diameter of Shaft: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (U*(4*G*(d_outer^2)))/((𝜏^2)*((d_outer^2)+(d_inner^2))) --> (50000*(4*40*(4^2)))/((4^2)*((4^2)+(1^2)))

Evaluating ... ...

V = 470588.235294118

STEP 3: Convert Result to Output's Unit

470588.235294118 Cubic Meter --> No Conversion Required

FINAL ANSWER

470588.235294118 ≈ 470588.2 Cubic Meter <-- Volume of Shaft

(Calculation completed in 00.020 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 » Volume of shaft given total strain energy in hollow shaft

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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)

Volume of shaft given total strain energy in hollow shaft Formula

LaTeX Go

What is the difference between strain energy and resilience?

Strain energy is elastic that is, the material tends to recover when the load is removed. Resilience is typically expressed as the modulus of resilience, which is the amount of strain energy the material can store per unit of volume without causing permanent deformation.

How to Calculate Volume of shaft given total strain energy in hollow shaft?

Volume of shaft given total strain energy in hollow shaft calculator uses Volume of Shaft = (Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2))) to calculate the Volume of Shaft, The Volume of shaft given total strain energy in hollow shaft formula is defined as the quantity of three-dimensional space enclosed by a closed surface. Volume of Shaft is denoted by V symbol.

How to calculate Volume of shaft given total strain energy in hollow shaft using this online calculator? To use this online calculator for Volume of shaft given total strain energy in hollow shaft, enter Strain Energy in body (U), Modulus of rigidity of Shaft (G), Outer Diameter of Shaft (d_outer), Shear stress on surface of shaft (𝜏) & Inner Diameter of Shaft (d_inner) and hit the calculate button. Here is how the Volume of shaft given total strain energy in hollow shaft calculation can be explained with given input values -> 470588.2 = (50000*(4*40*(4^2)))/((4^2)*((4^2)+(1^2))).

FAQ

What is Volume of shaft given total strain energy in hollow shaft?

The Volume of shaft given total strain energy in hollow shaft formula is defined as the quantity of three-dimensional space enclosed by a closed surface and is represented as V = (U*(4*G*(d_outer^2)))/((𝜏^2)*((d_outer^2)+(d_inner^2))) or Volume of Shaft = (Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2))). Strain Energy in body is defined as the energy stored in a body due to deformation, Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is, Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft, 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 & The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.

How to calculate Volume of shaft given total strain energy in hollow shaft?

The Volume of shaft given total strain energy in hollow shaft formula is defined as the quantity of three-dimensional space enclosed by a closed surface is calculated using Volume of Shaft = (Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2))). To calculate Volume of shaft given total strain energy in hollow shaft, you need Strain Energy in body (U), Modulus of rigidity of Shaft (G), Outer Diameter of Shaft (d_outer), Shear stress on surface of shaft (𝜏) & Inner Diameter of Shaft (d_inner). With our tool, you need to enter the respective value for Strain Energy in body, Modulus of rigidity of Shaft, Outer Diameter of Shaft, Shear stress on surface of shaft & Inner Diameter 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 Volume of Shaft?

In this formula, Volume of Shaft uses Strain Energy in body, Modulus of rigidity of Shaft, Outer Diameter of Shaft, Shear stress on surface of shaft & Inner Diameter of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2)
Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2))

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