Force Applied on Spring given Strain Energy Stored in Spring 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%
✖Deflection of Spring is how much the length of a spring changes when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%

✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Force Applied on Spring given Strain Energy Stored in Spring [P]

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Force Applied on Spring given Strain Energy Stored in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Strain Energy in Spring - (Measured in Joule) - Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.
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

Strain Energy in Spring: 1.61 Joule --> 1.61 Joule No Conversion Required
Deflection of Spring: 23.32125 Millimeter --> 0.02332125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*U_h/δ --> 2*1.61/0.02332125

Evaluating ... ...

P = 138.07150131318

STEP 3: Convert Result to Output's Unit

138.07150131318 Newton --> No Conversion Required

FINAL ANSWER

138.07150131318 ≈ 138.0715 Newton <-- Axial Spring Force

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)

Force Applied on Spring given Strain Energy Stored in Spring Formula

LaTeX Go

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

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 Force Applied on Spring given Strain Energy Stored in Spring?

Force Applied on Spring given Strain Energy Stored in Spring calculator uses Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring to calculate the Axial Spring Force, Force Applied on Spring given Strain Energy Stored in Spring formula is defined as the measure of the force exerted on a spring when it is compressed or stretched, which is directly proportional to the strain energy stored in the spring and inversely proportional to the deformation of the spring. Axial Spring Force is denoted by P symbol.

How to calculate Force Applied on Spring given Strain Energy Stored in Spring using this online calculator? To use this online calculator for Force Applied on Spring given Strain Energy Stored in Spring, enter Strain Energy in Spring (U_h) & Deflection of Spring (δ) and hit the calculate button. Here is how the Force Applied on Spring given Strain Energy Stored in Spring calculation can be explained with given input values -> 138.1381 = 2*1.61/0.02332125.

FAQ

What is Force Applied on Spring given Strain Energy Stored in Spring?

Force Applied on Spring given Strain Energy Stored in Spring formula is defined as the measure of the force exerted on a spring when it is compressed or stretched, which is directly proportional to the strain energy stored in the spring and inversely proportional to the deformation of the spring and is represented as P = 2*U_h/δ or Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring. Strain energy in spring is the energy stored in a helical spring by virtue of its deformation & Deflection of Spring is how much the length of a spring changes when force is applied or released.

How to calculate Force Applied on Spring given Strain Energy Stored in Spring?

Force Applied on Spring given Strain Energy Stored in Spring formula is defined as the measure of the force exerted on a spring when it is compressed or stretched, which is directly proportional to the strain energy stored in the spring and inversely proportional to the deformation of the spring is calculated using Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring. To calculate Force Applied on Spring given Strain Energy Stored in Spring, you need Strain Energy in Spring (U_h) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Strain Energy in Spring & Deflection of Spring 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 Axial Spring Force?

In this formula, Axial Spring Force uses Strain Energy in Spring & Deflection of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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