Force Applied on Spring given Strain Energy Stored in Spring Calculator

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Stress and Deflections in Springs

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✖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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Formula

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Force Applied on Spring given Strain Energy Stored in Spring

Formula

`"P" = 2*"U"_{"h"}/"δ"`

Example

`"160.6856N"=2*"1.5J"/"18.67mm"`

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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: 1.5 Joule --> 1.5 Joule No Conversion Required
Deflection of Spring: 18.67 Millimeter --> 0.01867 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*U_h/δ --> 2*1.5/0.01867

Evaluating ... ...

P = 160.685591858597

STEP 3: Convert Result to Output's Unit

160.685591858597 Newton --> No Conversion Required

FINAL ANSWER

160.685591858597 ≈ 160.6856 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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< 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))

Force Applied on Spring given Strain Energy Stored in Spring Formula

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, The Force Applied on Spring given Strain Energy Stored in Spring formula is the force exerted by spring to restore its relaxed state is known as Spring force. 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 -> 160.6856 = 2*1.5/0.01867.

FAQ

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

The Force Applied on Spring given Strain Energy Stored in Spring formula is the force exerted by spring to restore its relaxed state is known as Spring force 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?

The Force Applied on Spring given Strain Energy Stored in Spring formula is the force exerted by spring to restore its relaxed state is known as Spring force 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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