Rate of Spring given Deflection Calculator

✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+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%

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.ⓘ Rate of Spring given Deflection [k]

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Rate of Spring given Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Spring = Axial Spring Force/Deflection of Spring
k = P/δ
This formula uses 3 Variables

Variables Used

Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.
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.
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

Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Deflection of Spring: 23.32125 Millimeter --> 0.02332125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = P/δ --> 138.2/0.02332125

Evaluating ... ...

k = 5925.92592592593

STEP 3: Convert Result to Output's Unit

5925.92592592593 Newton per Meter -->5.92592592592593 Newton per Millimeter (Check conversion here)

FINAL ANSWER

5.92592592592593 ≈ 5.925926 Newton per Millimeter <-- Stiffness of Spring

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Mechanical » Stress and Deflections in Springs » Rate of Spring given Deflection

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

Rate of Spring given Deflection Formula

LaTeX Go

Stiffness of Spring = Axial Spring Force/Deflection of Spring
k = P/δ

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Rate of Spring given Deflection?

Rate of Spring given Deflection calculator uses Stiffness of Spring = Axial Spring Force/Deflection of Spring to calculate 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 calculate Rate of Spring given Deflection using this online calculator? To use this online calculator for Rate of Spring given Deflection, enter Axial Spring Force (P) & Deflection of Spring (δ) and hit the calculate button. Here is how the Rate of Spring given Deflection calculation can be explained with given input values -> 0.005926 = 138.2/0.02332125.

FAQ

What is Rate of Spring given Deflection?

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 and is represented as k = P/δ or Stiffness of Spring = Axial Spring Force/Deflection of Spring. Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction & Deflection of Spring is how much the length of a spring changes when force is applied or released.

How to calculate Rate of Spring given Deflection?

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 is calculated using Stiffness of Spring = Axial Spring Force/Deflection of Spring. To calculate Rate of Spring given Deflection, you need Axial Spring Force (P) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Axial Spring Force & 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 Stiffness of Spring?

In this formula, Stiffness of Spring uses Axial Spring Force & Deflection of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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