Deflection of Spring given Strain Energy Stored Calculator

✖Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.ⓘ Strain Energy in Spring [U_h]			+10% -10%
✖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 given Strain Energy Stored [δ]

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Deflection of Spring given Strain Energy Stored Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force
δ = 2*U_h/P
This formula uses 3 Variables

Variables Used

Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.
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.

STEP 1: Convert Input(s) to Base Unit

Strain Energy in Spring: 1.61 Joule --> 1.61 Joule No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = 2*U_h/P --> 2*1.61/138.2

Evaluating ... ...

δ = 0.0232995658465991

STEP 3: Convert Result to Output's Unit

0.0232995658465991 Meter -->23.2995658465991 Millimeter (Check conversion here)

FINAL ANSWER

23.2995658465991 ≈ 23.29957 Millimeter <-- Deflection of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Mechanical » Stress and Deflections in Springs » Deflection of Spring given Strain Energy Stored

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Osmania University (OU), Hyderabad

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< Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Resultant Stress in Spring

LaTeX 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

LaTeX 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

LaTeX 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

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

Deflection of Spring given Strain Energy Stored Formula

LaTeX Go

Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force
δ = 2*U_h/P

Define Strain Energy?

Strain 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 Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored calculator uses Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force to calculate the Deflection of Spring, Deflection of Spring given Strain Energy Stored formula is defined as a measure of the amount of deformation or bending of a spring when a certain amount of strain energy is stored in it, which is a critical parameter in understanding the behavior of springs under various loads and stress conditions. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection of Spring given Strain Energy Stored using this online calculator? To use this online calculator for Deflection of Spring given Strain Energy Stored, enter Strain Energy in Spring (U_h) & Axial Spring Force (P) and hit the calculate button. Here is how the Deflection of Spring given Strain Energy Stored calculation can be explained with given input values -> 23299.57 = 2*1.61/138.2.

FAQ

What is Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored formula is defined as a measure of the amount of deformation or bending of a spring when a certain amount of strain energy is stored in it, which is a critical parameter in understanding the behavior of springs under various loads and stress conditions and is represented as δ = 2*U_h/P or Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force. Strain energy in spring is the energy stored in a helical spring by virtue of its deformation & Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

How to calculate Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored formula is defined as a measure of the amount of deformation or bending of a spring when a certain amount of strain energy is stored in it, which is a critical parameter in understanding the behavior of springs under various loads and stress conditions is calculated using Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force. To calculate Deflection of Spring given Strain Energy Stored, you need Strain Energy in Spring (U_h) & Axial Spring Force (P). With our tool, you need to enter the respective value for Strain Energy in Spring & Axial Spring Force 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 Deflection of Spring?

In this formula, Deflection of Spring uses Strain Energy in Spring & Axial Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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