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Modulus of Rigidity given Strain Energy Stored by Spring Calculator

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Loads and Parameter of Spring Axial Load Diameter of Spring Mean Radius of Spring

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%
✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖Modulus of Rigidity of Spring 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 given Strain Energy Stored by Spring [G]

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Modulus of Rigidity given Strain Energy Stored by Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
G = (32*P^2*R^3*N)/(U*d^4)
This formula uses 6 Variables

Variables Used

Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring 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.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required
Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (32*P^2*R^3*N)/(U*d^4) --> (32*10000^2*0.32^3*2)/(5000*0.026^4)

Evaluating ... ...

G = 91783901123.9103

STEP 3: Convert Result to Output's Unit

91783901123.9103 Pascal -->91783.9011239103 Megapascal (Check conversion here)

FINAL ANSWER

91783.9011239103 ≈ 91783.9 Megapascal <-- Modulus of Rigidity of Spring

(Calculation completed in 00.004 seconds)

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Modulus of Rigidity given Strain Energy Stored by Spring Formula

LaTeX Go

Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
G = (32*P^2*R^3*N)/(U*d^4)

What does strain energy tell you?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Modulus of Rigidity given Strain Energy Stored by Spring?

Modulus of Rigidity given Strain Energy Stored by Spring calculator uses Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4) to calculate the Modulus of Rigidity of Spring, The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ. Modulus of Rigidity of Spring is denoted by G symbol.

How to calculate Modulus of Rigidity given Strain Energy Stored by Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Strain Energy Stored by Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Modulus of Rigidity given Strain Energy Stored by Spring calculation can be explained with given input values -> 3.2E-7 = (32*10000^2*0.32^3*2)/(5000*0.026^4).

FAQ

What is Modulus of Rigidity given Strain Energy Stored by Spring?

The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ and is represented as G = (32*P^2*R^3*N)/(U*d^4) or Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Mean Radius Spring Coil is the mean radius of the coils of spring, The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine, The Strain Energy is defined as the energy stored in a body due to deformation & Diameter of spring wire is the diameter length of spring wire.

How to calculate Modulus of Rigidity given Strain Energy Stored by Spring?

The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ is calculated using Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4). To calculate Modulus of Rigidity given Strain Energy Stored by Spring, you need Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Axial Load, Mean Radius Spring Coil, Number of Coils, Strain Energy & Diameter of Spring Wire 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 Modulus of Rigidity of Spring?

In this formula, Modulus of Rigidity of Spring uses Axial Load, Mean Radius Spring Coil, Number of Coils, Strain Energy & Diameter of Spring Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -

Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)

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