Strain Energy Stored in Spring Calculator

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Stress and Deflections in Springs

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✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+10% -10%
✖Deflection of Spring is how much the length of a spring changes when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%

✖Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.ⓘ Strain Energy Stored in Spring [U_h]

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Formula

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Strain Energy Stored in Spring

Formula

`"U"_{"h"} = .5*"P"*"δ"`

Example

`"1.290097J"=.5*"138.2N"*"18.67mm"`

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Strain Energy Stored in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain energy in spring = .5*Axial Spring Force*Deflection of Spring
U_h = .5*P*δ
This formula uses 3 Variables

Variables Used

Strain energy in spring - (Measured in Joule) - Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.

STEP 1: Convert Input(s) to Base Unit

Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Deflection of Spring: 18.67 Millimeter --> 0.01867 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_h = .5*P*δ --> .5*138.2*0.01867

Evaluating ... ...

U_h = 1.290097

STEP 3: Convert Result to Output's Unit

1.290097 Joule --> No Conversion Required

FINAL ANSWER

1.290097 Joule <-- Strain energy in spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 24 Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Deflection in Spring

Go Diameter of spring wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Deflection of Spring))^(1/4)

Mean Coil Diameter given Deflection in Spring

Go Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)

Number of Active Coils given Deflection in Spring

Go Active Coils in Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))

Modulus of Rigidity given Deflection in Spring

Go Modulus of rigidity of spring wire = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Deflection of Spring*Diameter of spring wire^4)

Deflection of Spring

Go Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)

Force Applied on Spring given Deflection in Spring

Go Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)

Diameter of Spring Wire given Resultant Stress in Spring

Go Diameter of spring wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)

Mean Coil Diameter given Resultant Stress in Spring

Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)

Force acting on Spring given Resultant Stress

Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)

Resultant Stress in Spring

Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of spring wire^3)

Diameter of Spring Wire given Rate of Spring

Go Diameter of spring wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/ (Modulus of rigidity of spring wire))^(1/4)

Mean Coil Diameter given Rate of Spring

Go Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

Modulus of Rigidity given Rate of Spring

Go Modulus of rigidity of spring wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of spring wire^4

Rate of Spring

Go Stiffness of Spring = Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)

Stress Factor of Spring

Go Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)

Shear Stress Correction Factor given Diameter of Spring Wire

Go Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))

Mean Coil diameter given Shear Stress Correction Factor

Go Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)

Diameter of Spring Wire given Shear Stress Correction Factor

Go Diameter of spring wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

Strain Energy Stored in Spring

Go Strain energy in spring = .5*Axial Spring Force*Deflection of Spring

Force Applied on Spring given Strain Energy Stored in Spring

Go Axial Spring Force = 2*Strain energy in spring/Deflection of Spring

Deflection of Spring given Strain Energy Stored

Go Deflection of Spring = 2*Strain energy in spring/Axial Spring Force

Rate of Spring given Deflection

Go Stiffness of Spring = Axial Spring Force/Deflection of Spring

Spring Index given Shear Stress Correction Factor

Go Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)

Shear Stress Correction Factor

Go Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))

Strain Energy Stored in Spring Formula

Strain energy in spring = .5*Axial Spring Force*Deflection of Spring
U_h = .5*P*δ

Define Strain Energy?

train energy is a type of potential energy that is stored in a structural member as a result of elastic deformation. The external work done on such a member when it is deformed from its unstressed state is transformed into (and considered equal to the strain energy stored in it. If, for instance, a beam that is supported at two ends is subjected to a bending moment by a load suspended in the canter, then the beam is said to be deflected from its unstressed state, and strain energy is stored in it.

How to Calculate Strain Energy Stored in Spring?

Strain Energy Stored in Spring calculator uses Strain energy in spring = .5*Axial Spring Force*Deflection of Spring to calculate the Strain energy in spring, The Strain Energy Stored in Spring formula is defined as type of potential energy that is stored in structural member as result of elastic deformation. external work done on such member when it is deformed from its unstressed state is transformed into (and considered equal to strain energy stored in it. Strain energy in spring is denoted by U_h symbol.

How to calculate Strain Energy Stored in Spring using this online calculator? To use this online calculator for Strain Energy Stored in Spring, enter Axial Spring Force (P) & Deflection of Spring (δ) and hit the calculate button. Here is how the Strain Energy Stored in Spring calculation can be explained with given input values -> 1.290097 = .5*138.2*0.01867.

FAQ

What is Strain Energy Stored in Spring?

The Strain Energy Stored in Spring formula is defined as type of potential energy that is stored in structural member as result of elastic deformation. external work done on such member when it is deformed from its unstressed state is transformed into (and considered equal to strain energy stored in it and is represented as U_h = .5*P*δ or Strain energy in spring = .5*Axial Spring Force*Deflection of Spring. Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction & Deflection of Spring is how much the length of a spring changes when force is applied or released.

How to calculate Strain Energy Stored in Spring?

The Strain Energy Stored in Spring formula is defined as type of potential energy that is stored in structural member as result of elastic deformation. external work done on such member when it is deformed from its unstressed state is transformed into (and considered equal to strain energy stored in it is calculated using Strain energy in spring = .5*Axial Spring Force*Deflection of Spring. To calculate Strain Energy Stored in Spring, you need Axial Spring Force (P) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Axial Spring Force & Deflection of Spring 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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