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 โ‰ˆ 114729.9 Kilojoule <-- Strain Energy
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring
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)
Number of Coils given Strain Energy Stored by Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
Strain Energy Stored by Spring
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)
Modulus of Rigidity given Deflection of Spring
Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Number of Coils given Deflection of Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
Number of Coils of Helical Spring given Stiffness of Spring
Go Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
Modulus of Rigidity given Stiffness of Helical Spring
Go Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)
Stiffness of Helical Spring
Go Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
Maximum Shear Stress induced in Wire
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
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
Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16
Number of Coils given Total Length of Wire of Spring
Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
Total Length of Wire of Helical Spring given Mean Radius of Spring Roll
Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils
Twisting Moment on Wire of Helical Spring
Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil
Stiffness of Spring given Deflection of Spring
Go Stiffness of Helical Spring = Axial Load/Deflection of Spring
Deflection of Spring given Stiffness of Spring
Go Deflection of Spring = Axial Load/Stiffness of Helical Spring
Total Length of Wire of Helical Spring
Go Length of Wire of Spring = Length of One Coil*Number of Coils
Work Done on Spring given Axial Load on Spring
Go Work Done = (Axial Load*Deflection of Spring)/2
Deflection of Spring given Work Done on Spring
Go Deflection of Spring = (2*Work Done)/Axial Load
Deflection given Average Load on Spring
Go Deflection of Spring = Work Done/Average Load
Work Done on Spring given Average Load
Go Work Done = Average Load*Deflection of Spring
Average Load on Spring
Go Average Load = Work Done/Deflection of Spring

Strain Energy Stored by Spring Formula

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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