Force acting on Spring given Resultant Stress Calculator

✖Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Spring [𝜏]			+10% -10%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+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 acting on Spring given Resultant Stress [P]

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Force acting on Spring given Resultant Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
P = 𝜏*(pi*d^3)/(K*8*D)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Wahl Factor of Spring: 1.162 --> No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 𝜏*(pi*d^3)/(K*8*D) --> 230000000*(pi*0.004^3)/(1.162*8*0.036)

Evaluating ... ...

P = 138.184415820549

STEP 3: Convert Result to Output's Unit

138.184415820549 Newton --> No Conversion Required

FINAL ANSWER

138.184415820549 ≈ 138.1844 Newton <-- Axial Spring Force

(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 » Force acting on Spring given Resultant Stress

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

Force acting on Spring given Resultant Stress Formula

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)
P = 𝜏*(pi*d^3)/(K*8*D)

Define Stress Factor of the Spring?

The stiffness is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor.

How to Calculate Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress calculator uses Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring) to calculate the Axial Spring Force, Force acting on Spring given Resultant Stress formula is defined as the measure of the force exerted on a spring when it is subjected to a resultant stress, providing a way to calculate the force based on the spring's dimensions and material properties, which is crucial in designing and analyzing spring-based systems. Axial Spring Force is denoted by P symbol.

How to calculate Force acting on Spring given Resultant Stress using this online calculator? To use this online calculator for Force acting on Spring given Resultant Stress, enter Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Force acting on Spring given Resultant Stress calculation can be explained with given input values -> 138.1844 = 230000000*(pi*0.004^3)/(1.162*8*0.036).

FAQ

What is Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress formula is defined as the measure of the force exerted on a spring when it is subjected to a resultant stress, providing a way to calculate the force based on the spring's dimensions and material properties, which is crucial in designing and analyzing spring-based systems and is represented as P = 𝜏*(pi*d^3)/(K*8*D) or Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress, Diameter of Spring Wire is the diameter of the wire of which a spring is made, Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil & The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

How to calculate Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress formula is defined as the measure of the force exerted on a spring when it is subjected to a resultant stress, providing a way to calculate the force based on the spring's dimensions and material properties, which is crucial in designing and analyzing spring-based systems is calculated using Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). To calculate Force acting on Spring given Resultant Stress, you need Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Shear Stress in Spring, Diameter of Spring Wire, Wahl Factor of Spring & Mean Coil Diameter 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 Shear Stress in Spring, Diameter of Spring Wire, Wahl Factor of Spring & Mean Coil Diameter of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
Axial Spring Force = 2*Strain Energy in Spring/Deflection of Spring

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