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 = Ks*(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 force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.
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.
Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
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
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 = Ks*(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 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Surge in Springs Calculators

Mass of Spring
Go Mass of Helical Spring = ((pi*(Diameter of spring wire^2)/4))*(pi*Mean Coil Diameter of Spring*Total Coils in Spring)*(Mass Density of Spring Wire)
Shear stress in spring
Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
Direct shear stress in spring wire
Go Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2)
Natural angular frequency of Spring whose one end is free
Go Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Angular Frequency of Spring
Go Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Stiffness of Spring given Natural angular frequency of Spring whose one end is free
Go Stiffness of Spring = ((4*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Stiffness of Spring given Natural angular frequency of Spring
Go Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Mass of Spring given Natural angular frequency of Spring whose one end is free
Go Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2
Mass of Spring given Natural angular frequency of Spring
Go Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2
Solid Length of Spring
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
Go Deflection of Spring = Axial Spring Force/Stiffness of Spring
Axial Spring Force given Stiffness of Spring
Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Shear stress in spring Formula

Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
𝜏 = Ks*(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 is defined as the shear stress generated in the spring when an axial force acts on the ends of a spring. 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 (Ks), 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 is defined as the shear stress generated in the spring when an axial force acts on the ends of a spring and is represented as 𝜏 = Ks*(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 for comparing the strain energies of the average shear stresses with those obtained from the equilibrium, Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction, Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire & Diameter of spring wire is the diameter of the wire of which a spring is made.
How to calculate Shear stress in spring?
Shear stress in spring is defined as the shear stress generated in the spring when an axial force acts on the ends of a spring 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 (Ks), 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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