Young's modulus for wire given 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%
✖Strain in thin shell is simply the measure of how much an object is stretched or deformed.ⓘ Strain in thin shell [ε]			+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 for wire given strain in wire [E]

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Formula

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Young's modulus for wire given strain in wire

Formula

E = \frac{σ w}{ε}

Example

2.666667 MPa = \frac{8 MPa}{3}

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Young's modulus for wire given strain in wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell
E = σ_w/ε
This formula uses 3 Variables

Variables Used

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.
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.
Strain in thin shell - Strain in thin shell is simply the measure of how much an object is stretched or deformed.

STEP 1: Convert Input(s) to Base Unit

Stress in wire due to fluid pressure: 8 Megapascal --> 8000000 Pascal (Check conversion here)
Strain in thin shell: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = σ_w/ε --> 8000000/3

Evaluating ... ...

E = 2666666.66666667

STEP 3: Convert Result to Output's Unit

2666666.66666667 Pascal -->2.66666666666667 Megapascal (Check conversion here)

FINAL ANSWER

2.66666666666667 ≈ 2.666667 Megapascal <-- Young's Modulus Cylinder

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Wire Winding of Thin Cylinders Calculators

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)

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)

Number of turns of wire in length 'L'

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

Young's modulus for wire given strain in wire Formula

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

What causes internal pressure?

When the volume of a fluid increases, the average distance between molecules increases, and the potential energy due to intermolecular forces changes. At constant temperature, the thermal energy is constant so that the internal pressure is the rate at which just the potential energy changes with volume.

How to Calculate Young's modulus for wire given strain in wire?

Young's modulus for wire given strain in wire calculator uses Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell to calculate the Young's Modulus Cylinder, The Young's modulus for wire given strain in wire formula is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Young's Modulus Cylinder is denoted by E symbol.

How to calculate Young's modulus for wire given strain in wire using this online calculator? To use this online calculator for Young's modulus for wire given strain in wire, enter Stress in wire due to fluid pressure (σ_w) & Strain in thin shell (ε) and hit the calculate button. Here is how the Young's modulus for wire given strain in wire calculation can be explained with given input values -> 2.7E-6 = 8000000/3.

FAQ

What is Young's modulus for wire given strain in wire?

The Young's modulus for wire given strain in wire formula is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression and is represented as E = σ_w/ε or Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell. Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure & Strain in thin shell is simply the measure of how much an object is stretched or deformed.

How to calculate Young's modulus for wire given strain in wire?

The Young's modulus for wire given strain in wire formula is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression is calculated using Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell. To calculate Young's modulus for wire given strain in wire, you need Stress in wire due to fluid pressure (σ_w) & Strain in thin shell (ε). With our tool, you need to enter the respective value for Stress in wire due to fluid pressure & Strain in thin shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus Cylinder?

In this formula, Young's Modulus Cylinder uses Stress in wire due to fluid pressure & Strain in thin shell. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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