Resultant Stress in Spring Calculator

✖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%
✖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%
✖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%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖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.ⓘ Resultant Stress in Spring [𝜏]

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Resultant Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.

STEP 1: Convert Input(s) to Base Unit

Wahl Factor of Spring: 1.162 --> No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = K*(8*P*D)/(pi*d^3) --> 1.162*(8*138.2*0.036)/(pi*0.004^3)

Evaluating ... ...

𝜏 = 230025938.968967

STEP 3: Convert Result to Output's Unit

230025938.968967 Pascal -->230.025938968967 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

230.025938968967 ≈ 230.0259 Newton per Square Millimeter <-- Shear Stress in Spring

(Calculation completed in 00.020 seconds)

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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)

Resultant Stress in Spring Formula

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)
𝜏 = K*(8*P*D)/(pi*d^3)

Define Stress Factor?

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 Resultant Stress in Spring?

Resultant Stress in Spring calculator uses Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3) to calculate the Shear Stress in Spring, Resultant Stress in Spring formula is defined as a measure of the internal forces that cause deformation in a spring, which is critical in determining the spring's ability to withstand external loads without failing or deforming excessively. Shear Stress in Spring is denoted by 𝜏 symbol.

How to calculate Resultant Stress in Spring using this online calculator? To use this online calculator for Resultant Stress in Spring, enter Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Resultant Stress in Spring calculation can be explained with given input values -> 0.00023 = 1.162*(8*138.2*0.036)/(pi*0.004^3).

FAQ

What is Resultant Stress in Spring?

Resultant Stress in Spring formula is defined as a measure of the internal forces that cause deformation in a spring, which is critical in determining the spring's ability to withstand external loads without failing or deforming excessively and is represented as 𝜏 = K*(8*P*D)/(pi*d^3) or Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3). Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil, Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring & Diameter of Spring Wire is the diameter of the wire of which a spring is made.

How to calculate Resultant Stress in Spring?

Resultant Stress in Spring formula is defined as a measure of the internal forces that cause deformation in a spring, which is critical in determining the spring's ability to withstand external loads without failing or deforming excessively is calculated using Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3). To calculate Resultant Stress in Spring, you need Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Wahl Factor of Spring, Axial Spring Force, Mean Coil Diameter of Spring & Diameter of Spring Wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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