Strain in wire Calculator

✖Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.ⓘ Stress in wire due to fluid pressure [σ_w]			+10% -10%
✖Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Cylinder [E]			+10% -10%

✖Strain in thin shell is simply the measure of how much an object is stretched or deformed.ⓘ Strain in wire [ε]

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Formula

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Strain in wire

Formula

`"ε" = "σ"_{"w"}/"E"`

Example

`"0.833333"="8MPa"/"9.6MPa"`

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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 = σ_w/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 = σ_w/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 00.004 seconds)

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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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< 23 Wire Winding of Thin Cylinders Calculators

Thickness of cylinder given bursting force due to fluid pressure

Go Thickness Of Wire = ((Force/Length Of Cylindrical Shell)-((pi/2)*Diameter of Wire*Stress in wire because of fluid pressure))/(2*Circumferential stress due to fluid pressure)

Length of cylinder given bursting force due to fluid pressure

Go Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))

Young's modulus for cylinder given circumferential strain in cylinder

Go Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential strain

Circumferential strain in cylinder

Go Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder

Poisson's ratio given circumferential strain in cylinder

Go Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)

Thickness of cylinder given compressive circumferential stress exerted by wire

Go Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress)

Length of cylinder given resisting force of wire per mm length

Go Length Of Cylindrical Shell = (2*Force)/(pi*Diameter of Wire*Stress in wire due to fluid pressure)

Number of turns in wire for length 'L' given initial tensile force in wire

Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)

Length of wire given resisting force on wire and diameter of wire

Go Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)

Length of cylinder given initial tensile force in wire

Go Length Of Cylindrical Shell = Force/((pi/2)*Diameter of Wire*Initial Winding Stress)

Thickness of cylinder given initial compressive force in cylinder for length 'L'

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

Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)

Thickness of cylinder given resisting force of cylinder along longitudinal section

Go Thickness Of Wire = Force/(Circumferential stress due to fluid pressure*2*Length Of Cylindrical Shell)

Length of cylinder given resisting force of cylinder along longitudinal section

Go Length Of Cylindrical Shell = Force/(Circumferential stress due to fluid pressure*2*Thickness Of Wire)

Area of cross-section of wire given resisting force on wire

Go Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure)

Number of turns of wire given resisting force on wire

Go Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure)

Internal fluid pressure given longitudinal stress in wire due to fluid pressure

Go Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder)

Thickness of cylinder given longitudinal stress in wire due to fluid pressure

Go Thickness Of Wire = ((Internal Pressure*Diameter of Cylinder)/(4*Longitudinal Stress))

Diameter of cylinder given longitudinal stress in wire due to fluid pressure

Go Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)

Young's modulus for wire given strain in wire

Go Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell

Strain in wire

Go Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder

Length of cylinder given number of turns of wire in length 'L'

Go Length Of Cylindrical Shell = Number of turns of wire*Diameter of Wire

Number of turns of wire in length 'L'

Go Number of turns of wire = Length of wire/Diameter of Wire

Strain in wire Formula

Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder
ε = σ_w/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 (σ_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 = σ_w/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 (σ_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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