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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%
✖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 of Spring [G]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy Stored by Spring [U]

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Strain Energy Stored by Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
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.
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.
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
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (32*P^2*R^3*N)/(G*d^4) --> (32*10000^2*0.32^3*2)/(4000000*0.026^4)

Evaluating ... ...

U = 114729876.404888

STEP 3: Convert Result to Output's Unit

114729876.404888 Joule -->114729.876404888 Kilojoule (Check conversion here)

FINAL ANSWER

114729.876404888 ≈ 114729.9 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Loads and Parameter of Spring Calculators

Maximum Shear Stress induced in Wire

LaTeX Go Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)

Maximum Shear Stress induced in Wire given Twisting Moment

LaTeX Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)

Twisting Moment given Maximum Shear Stress induced in Wire

LaTeX Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16

Twisting Moment on Wire of Helical Spring

LaTeX Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil

Strain Energy Stored by Spring Formula

LaTeX Go

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

Strain Energy Stored by Spring calculator uses Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4) to calculate the Strain Energy, The Strain energy stored by spring formula is defined as the energy stored in a body due to deformation. Strain Energy is denoted by U symbol.

How to calculate Strain Energy Stored by Spring using this online calculator? To use this online calculator for Strain Energy Stored by Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Strain Energy Stored by Spring calculation can be explained with given input values -> 0.000405 = (32*10000^2*0.32^3*2)/(4000000*0.026^4).

FAQ

What is Strain Energy Stored by Spring?

The Strain energy stored by spring formula is defined as the energy stored in a body due to deformation and is represented as U = (32*P^2*R^3*N)/(G*d^4) or Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*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, 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 & Diameter of spring wire is the diameter length of spring wire.

How to calculate Strain Energy Stored by Spring?

The Strain energy stored by spring formula is defined as the energy stored in a body due to deformation is calculated using Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4). To calculate Strain Energy Stored by Spring, you need Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & 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, Modulus of Rigidity of Spring & 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.

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