Direct shear stress in spring wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2)
τ = 4*P/(pi*d^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Direct Shear Stress in Helical Spring - (Measured in Pascal) - Direct Shear stress in Helical spring is induced in the spring when the spring is subjected to axial loading.
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.
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
Axial Spring Force: 138.2 Newton --> 138.2 Newton 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 = 4*P/(pi*d^2) --> 4*138.2/(pi*0.004^2)
Evaluating ... ...
τ = 10997606.56765
STEP 3: Convert Result to Output's Unit
10997606.56765 Pascal -->10.99760656765 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
10.99760656765 10.99761 Newton per Square Millimeter <-- Direct Shear Stress in Helical Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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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

Direct shear stress in spring wire Formula

Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2)
τ = 4*P/(pi*d^2)

What is a helical spring?

The helical spring, is a type of spring in which the spring wire is wrapped in a coil that resembles a screw thread and is probably the most commonly used mechanical spring. It can be used to carry, pull, or push loads.

How to Calculate Direct shear stress in spring wire?

Direct shear stress in spring wire calculator uses Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2) to calculate the Direct Shear Stress in Helical Spring, The direct shear stress in spring wire formula is defined as the shear stress generated in the spring when an axial force acts on ends of a spring. Direct Shear Stress in Helical Spring is denoted by τ symbol.

How to calculate Direct shear stress in spring wire using this online calculator? To use this online calculator for Direct shear stress in spring wire, enter Axial Spring Force (P) & Diameter of spring wire (d) and hit the calculate button. Here is how the Direct shear stress in spring wire calculation can be explained with given input values -> 1.1E-5 = 4*138.2/(pi*0.004^2).

FAQ

What is Direct shear stress in spring wire?
The direct shear stress in spring wire formula is defined as the shear stress generated in the spring when an axial force acts on ends of a spring and is represented as τ = 4*P/(pi*d^2) or Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2). Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction & Diameter of spring wire is the diameter of the wire of which a spring is made.
How to calculate Direct shear stress in spring wire?
The direct shear stress in spring wire formula is defined as the shear stress generated in the spring when an axial force acts on ends of a spring is calculated using Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2). To calculate Direct shear stress in spring wire, you need Axial Spring Force (P) & Diameter of spring wire (d). With our tool, you need to enter the respective value for Axial Spring Force & 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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