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 = σw/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 = σw/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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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

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 = σw/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 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 = σw 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 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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