Strain in wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder
ε = σw/E
This formula uses 3 Variables
Variables Used
Strain in thin shell - Strain in thin shell is simply the measure of how much an object is stretched or deformed.
Stress in wire due to fluid pressure - (Measured in Pascal) - Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.
Young's Modulus Cylinder - (Measured in Pascal) - Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
STEP 1: Convert Input(s) to Base Unit
Stress in wire due to fluid pressure: 8 Megapascal --> 8000000 Pascal (Check conversion ​here)
Young's Modulus Cylinder: 9.6 Megapascal --> 9600000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ε = σw/E --> 8000000/9600000
Evaluating ... ...
ε = 0.833333333333333
STEP 3: Convert Result to Output's Unit
0.833333333333333 --> No Conversion Required
FINAL ANSWER
0.833333333333333 0.833333 <-- Strain in thin shell
(Calculation completed in 00.020 seconds)

Credits

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Wire Parameters Calculators

Number of turns in wire for length 'L' given initial tensile force in wire
​ LaTeX ​ Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)
Thickness of cylinder given initial compressive force in cylinder for length 'L'
​ LaTeX ​ Go Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)
Length of cylinder given initial compressive force in cylinder for length L
​ LaTeX ​ Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)
Number of turns of wire in length 'L'
​ LaTeX ​ Go Number of turns of wire = Length of wire/Diameter of Wire

Strain in wire Formula

​LaTeX ​Go
Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder
ε = σw/E

Is a higher Young's modulus better?

The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as fluid would deform without force and would have zero Young's Modulus.

How to Calculate Strain in wire?

Strain in wire calculator uses Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder to calculate the Strain in thin shell, Strain in wire is simply the measure of how much an object is stretched or deformed. Strain in thin shell is denoted by ε symbol.

How to calculate Strain in wire using this online calculator? To use this online calculator for Strain in wire, enter Stress in wire due to fluid pressure w) & Young's Modulus Cylinder (E) and hit the calculate button. Here is how the Strain in wire calculation can be explained with given input values -> 0.833333 = 8000000/9600000.

FAQ

What is Strain in wire?
Strain in wire is simply the measure of how much an object is stretched or deformed and is represented as ε = σw/E or Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder. Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure & Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
How to calculate Strain in wire?
Strain in wire is simply the measure of how much an object is stretched or deformed is calculated using Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder. To calculate Strain in wire, you need Stress in wire due to fluid pressure w) & Young's Modulus Cylinder (E). With our tool, you need to enter the respective value for Stress in wire due to fluid pressure & Young's Modulus Cylinder 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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