Shear stress in spring Calculator

✖Shear Stress Correction Factor of Spring is a factor used to correct the shear stress in springs due to surge, ensuring accurate calculations and reliable results.ⓘ Shear Stress Correction Factor of Spring [K_s]			+10% -10%
✖Axial Spring Force is the force exerted by a spring when it is subjected to axial compression or tension, typically in surge springs.ⓘ Axial Spring Force [P]			+10% -10%
✖Spring Index is a measure of the surge spring's ability to store energy and release it in a controlled manner during compression and decompression.ⓘ Spring Index [C]			+10% -10%
✖Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.ⓘ Diameter of spring wire [d]			+10% -10%

✖Shear Stress in Spring is the frictional force that opposes the motion of a spring when it is subjected to a surge or sudden movement.ⓘ Shear stress in spring [𝜏]

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Shear stress in spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
𝜏 = K_s*(8*P*C)/(pi*d^2)
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 frictional force that opposes the motion of a spring when it is subjected to a surge or sudden movement.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is a factor used to correct the shear stress in springs due to surge, ensuring accurate calculations and reliable results.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force exerted by a spring when it is subjected to axial compression or tension, typically in surge springs.
Spring Index - Spring Index is a measure of the surge spring's ability to store energy and release it in a controlled manner during compression and decompression.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.

STEP 1: Convert Input(s) to Base Unit

Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Spring Index: 9 --> No Conversion Required
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = K_s*(8*P*C)/(pi*d^2) --> 1.08*(8*138.2*9)/(pi*0.004^2)

Evaluating ... ...

𝜏 = 213793471.675115

STEP 3: Convert Result to Output's Unit

213793471.675115 Pascal -->213.793471675115 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

213.793471675115 ≈ 213.7935 Newton per Square Millimeter <-- Shear Stress in Spring

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Mechanical » Surge in Springs » Shear stress in spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Surge in Springs Calculators

Shear stress in spring

LaTeX Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)

Solid Length of Spring

LaTeX Go Solid Length of Spring = Total Coils in Spring*Diameter of spring wire

Axial Deflection of Spring due to Axial load given Stiffness of Spring

LaTeX Go Deflection of Spring = Axial Spring Force/Stiffness of Spring

Axial Spring Force given Stiffness of Spring

LaTeX Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Shear stress in spring Formula

LaTeX Go

Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
𝜏 = K_s*(8*P*C)/(pi*d^2)

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 Shear stress in spring?

Shear stress in spring calculator uses Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2) to calculate the Shear Stress in Spring, Shear stress in spring formula is defined as a measure of the internal frictional force that occurs within a helical spring when it is subjected to an external load, resulting in deformation and stress distribution throughout the spring's material. Shear Stress in Spring is denoted by 𝜏 symbol.

How to calculate Shear stress in spring using this online calculator? To use this online calculator for Shear stress in spring, enter Shear Stress Correction Factor of Spring (K_s), Axial Spring Force (P), Spring Index (C) & Diameter of spring wire (d) and hit the calculate button. Here is how the Shear stress in spring calculation can be explained with given input values -> 0.000214 = 1.08*(8*138.2*9)/(pi*0.004^2).

FAQ

What is Shear stress in spring?

Shear stress in spring formula is defined as a measure of the internal frictional force that occurs within a helical spring when it is subjected to an external load, resulting in deformation and stress distribution throughout the spring's material and is represented as 𝜏 = K_s*(8*P*C)/(pi*d^2) or Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2). Shear Stress Correction Factor of Spring is a factor used to correct the shear stress in springs due to surge, ensuring accurate calculations and reliable results, Axial Spring Force is the force exerted by a spring when it is subjected to axial compression or tension, typically in surge springs, Spring Index is a measure of the surge spring's ability to store energy and release it in a controlled manner during compression and decompression & Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.

How to calculate Shear stress in spring?

Shear stress in spring formula is defined as a measure of the internal frictional force that occurs within a helical spring when it is subjected to an external load, resulting in deformation and stress distribution throughout the spring's material is calculated using Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2). To calculate Shear stress in spring, you need Shear Stress Correction Factor of Spring (K_s), Axial Spring Force (P), Spring Index (C) & Diameter of spring wire (d). With our tool, you need to enter the respective value for Shear Stress Correction Factor of Spring, Axial Spring Force, Spring Index & 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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