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Rate of Spring given Deflection Formula

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Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness. Check FAQs

k = \frac{P}{δ}

k - Stiffness of Spring?P - Axial Spring Force?δ - Deflection of Spring?

Rate of Spring given Deflection Example

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Here is how the Rate of Spring given Deflection equation looks like with Values.

Here is how the Rate of Spring given Deflection equation looks like with Units.

Here is how the Rate of Spring given Deflection equation looks like.

5.9259 = \frac{138.2}{23.3212}

5.9259N/mm = \frac{138.2N}{23.3212mm}

5.9259 = \frac{138.2}{23.3212}

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Rate of Spring given Deflection Solution

Follow our step by step solution on how to calculate Rate of Spring given Deflection?

FIRST Step Consider the formula

k = \frac{P}{δ}

Next Step Substitute values of Variables

∴

k = \frac{138.2N}{23.3212mm}

Next Step Convert Units

∴

k = \frac{138.2N}{0.0233m}

Next Step Prepare to Evaluate

∴

k = \frac{138.2}{0.0233}

Next Step Evaluate

∴

k = 5925.92592592593N/m

Next Step Convert to Output's Unit

∴

k = 5.92592592592593N/mm

LAST Step Rounding Answer

∴

k = 5.9259N/mm

Rate of Spring given Deflection Formula Elements

Variables

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of 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

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 Stiffness of Spring

Go Rate of Spring

k = 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 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 Rate of Spring given Deflection?

Rate of Spring given Deflection evaluator uses Stiffness of Spring = Axial Spring Force/Deflection of Spring to evaluate the Stiffness of Spring, Rate of Spring given Deflection formula is defined as a measure of the stiffness of a spring, which is the amount of force required to produce a unit of deformation or displacement in a spring, and is a critical parameter in the design and analysis of spring-based systems. Stiffness of Spring is denoted by k symbol.

How to evaluate Rate of Spring given Deflection using this online evaluator? To use this online evaluator for Rate of Spring given Deflection, enter Axial Spring Force (P) & Deflection of Spring (δ) and hit the calculate button.

FAQs on Rate of Spring given Deflection

What is the formula to find Rate of Spring given Deflection?

The formula of Rate of Spring given Deflection is expressed as Stiffness of Spring = Axial Spring Force/Deflection of Spring. Here is an example- 0.005926 = 138.2/0.02332125.

How to calculate Rate of Spring given Deflection?

With Axial Spring Force (P) & Deflection of Spring (δ) we can find Rate of Spring given Deflection using the formula - Stiffness of Spring = Axial Spring Force/Deflection of Spring.

What are the other ways to Calculate Stiffness of Spring?

Here are the different ways to Calculate Stiffness of Spring-

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)

Can the Rate of Spring given Deflection be negative?

No, the Rate of Spring given Deflection, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Rate of Spring given Deflection?

Rate of Spring given Deflection is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Rate of Spring given Deflection can be measured.

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Rate of Spring given Deflection Formula

​GoRate of Spring Formula

Rate of Spring given Deflection Example

Rate of Spring given Deflection Solution

Rate of Spring given Deflection Formula Elements

Other Formulas to find Stiffness of Spring

Other formulas in Stress and Deflections in Springs category

How to Evaluate Rate of Spring given Deflection?

FAQs on Rate of Spring given Deflection

Variable Name

GoRate of Spring Formula