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Deflection of Spring given Strain Energy Stored Formula

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

δ = 2 \cdot \frac{U h}{P}

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

Deflection of Spring given Strain Energy Stored Example

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Here is how the Deflection of Spring given Strain Energy Stored equation looks like with Values.

Here is how the Deflection of Spring given Strain Energy Stored equation looks like with Units.

Here is how the Deflection of Spring given Strain Energy Stored equation looks like.

23.2996 = 2 \cdot \frac{1.61}{138.2}

23.2996mm = 2 \cdot \frac{1.61J}{138.2N}

23.2996 = 2 \cdot \frac{1.61}{138.2}

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Deflection of Spring given Strain Energy Stored Solution

Follow our step by step solution on how to calculate Deflection of Spring given Strain Energy Stored?

FIRST Step Consider the formula

δ = 2 \cdot \frac{U h}{P}

Next Step Substitute values of Variables

∴

δ = 2 \cdot \frac{1.61J}{138.2N}

Next Step Prepare to Evaluate

∴

δ = 2 \cdot \frac{1.61}{138.2}

Next Step Evaluate

∴

δ = 0.0232995658465991m

Next Step Convert to Output's Unit

∴

δ = 23.2995658465991mm

LAST Step Rounding Answer

∴

δ = 23.2996mm

Deflection of Spring given Strain Energy Stored Formula Elements

Variables

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

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

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

Other Formulas to find Deflection of Spring

Go Deflection of Spring

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

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 Force acting on Spring given Resultant Stress

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

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}}

How to Evaluate Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored evaluator uses Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force to evaluate 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 evaluate Deflection of Spring given Strain Energy Stored using this online evaluator? To use this online evaluator for Deflection of Spring given Strain Energy Stored, enter Strain Energy in Spring (U_h) & Axial Spring Force (P) and hit the calculate button.

FAQs on Deflection of Spring given Strain Energy Stored

What is the formula to find Deflection of Spring given Strain Energy Stored?

The formula of Deflection of Spring given Strain Energy Stored is expressed as Deflection of Spring = 2*Strain Energy in Spring/Axial Spring Force. Here is an example- 23299.57 = 2*1.61/138.2.

How to calculate Deflection of Spring given Strain Energy Stored?

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

What are the other ways to Calculate Deflection of Spring?

Here are the different ways to Calculate Deflection of Spring-

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)

Can the Deflection of Spring given Strain Energy Stored be negative?

No, the Deflection of Spring given Strain Energy Stored, measured in Length cannot be negative.

Which unit is used to measure Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection of Spring given Strain Energy Stored can be measured.

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Deflection of Spring given Strain Energy Stored Formula

​GoDeflection of Spring Formula

Deflection of Spring given Strain Energy Stored Example

Deflection of Spring given Strain Energy Stored Solution

Deflection of Spring given Strain Energy Stored Formula Elements

Other Formulas to find Deflection of Spring

Other formulas in Stress and Deflections in Springs category

How to Evaluate Deflection of Spring given Strain Energy Stored?

FAQs on Deflection of Spring given Strain Energy Stored

Variable Name

GoDeflection of Spring Formula