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Force Applied on Spring given Strain Energy Stored in Spring Formula

GoForce acting on Spring given Resultant Stress Formula

GoForce Applied on Spring given Deflection in Spring Formula

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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. Check FAQs

P = 2 \cdot \frac{U h}{δ}

P - Axial Spring Force?U_h - Strain Energy in Spring?δ - Deflection of Spring?

Force Applied on Spring given Strain Energy Stored in Spring Example

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Here is how the Force Applied on Spring given Strain Energy Stored in Spring equation looks like with Values.

Here is how the Force Applied on Spring given Strain Energy Stored in Spring equation looks like with Units.

Here is how the Force Applied on Spring given Strain Energy Stored in Spring equation looks like.

138.0715 = 2 \cdot \frac{1.61}{23.3212}

138.0715N = 2 \cdot \frac{1.61J}{23.3212mm}

138.0715 = 2 \cdot \frac{1.61}{23.3212}

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Force Applied on Spring given Strain Energy Stored in Spring Solution

Follow our step by step solution on how to calculate Force Applied on Spring given Strain Energy Stored in Spring?

FIRST Step Consider the formula

P = 2 \cdot \frac{U h}{δ}

Next Step Substitute values of Variables

∴

P = 2 \cdot \frac{1.61J}{23.3212mm}

Next Step Convert Units

∴

P = 2 \cdot \frac{1.61J}{0.0233m}

Next Step Prepare to Evaluate

∴

P = 2 \cdot \frac{1.61}{0.0233}

Next Step Evaluate

∴

P = 138.07150131318N

LAST Step Rounding Answer

∴

P = 138.0715N

Force Applied on Spring given Strain Energy Stored in Spring Formula Elements

Variables

Axial Spring Force

Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

Strain Energy in Spring

Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.

Symbol: U_h

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Strain Energy in Spring

Deflection of Spring

Deflection of Spring is how much the length of a spring changes when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Other Formulas to find Axial Spring Force

Go Force acting on Spring given Resultant Stress

P = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot D}

Go Force Applied on Spring given Deflection in Spring

P = δ \cdot G \cdot \frac{d^{4}}{8 \cdot (D^{3}) \cdot N a}

Other formulas in Stress and Deflections in Springs category

Go Resultant Stress in Spring

𝜏 = K \cdot \frac{8 \cdot P \cdot D}{π \cdot d^{3}}

Go Mean Coil Diameter given Resultant Stress in Spring

D = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot P}

Go Diameter of Spring Wire given Resultant Stress in Spring

d = {(\frac{K \cdot 8 \cdot P \cdot D}{π \cdot 𝜏})}^{\frac{1}{3}}

Go Shear Stress Correction Factor

K s = (1 + (\frac{.5}{C}))

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

Force Applied on Spring given Strain Energy Stored in Spring evaluator uses Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring to evaluate 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 evaluate Force Applied on Spring given Strain Energy Stored in Spring using this online evaluator? To use this online evaluator 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.

FAQs on Force Applied on Spring given Strain Energy Stored in Spring

What is the formula to find Force Applied on Spring given Strain Energy Stored in Spring?

The formula of Force Applied on Spring given Strain Energy Stored in Spring is expressed as Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring. Here is an example- 138.1381 = 2*1.61/0.02332125.

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

With Strain Energy in Spring (U_h) & Deflection of Spring (δ) we can find Force Applied on Spring given Strain Energy Stored in Spring using the formula - Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring.

What are the other ways to Calculate Axial Spring Force?

Here are the different ways to Calculate Axial Spring Force-

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)

Can the Force Applied on Spring given Strain Energy Stored in Spring be negative?

No, the Force Applied on Spring given Strain Energy Stored in Spring, measured in Force cannot be negative.

Which unit is used to measure Force Applied on Spring given Strain Energy Stored in Spring?

Force Applied on Spring given Strain Energy Stored in Spring is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force Applied on Spring given Strain Energy Stored in Spring can be measured.

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: Value
: Unit

Force Applied on Spring given Strain Energy Stored in Spring Formula

​GoForce acting on Spring given Resultant Stress Formula

​GoForce Applied on Spring given Deflection in Spring Formula

Force Applied on Spring given Strain Energy Stored in Spring Example

Force Applied on Spring given Strain Energy Stored in Spring Solution

Force Applied on Spring given Strain Energy Stored in Spring Formula Elements

Other Formulas to find Axial Spring Force

Other formulas in Stress and Deflections in Springs category

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

FAQs on Force Applied on Spring given Strain Energy Stored in Spring

Variable Name

GoForce acting on Spring given Resultant Stress Formula

GoForce Applied on Spring given Deflection in Spring Formula