Circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder
e1 = (σcf-(𝛎*σl))/E
This formula uses 5 Variables
Variables Used
Circumferential strain - Circumferential strain represents the change in length.
Circumferential stress because of fluid pressure - (Measured in Pascal) - Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal 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
Circumferential stress because of fluid pressure: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Stress: 0.09 Megapascal --> 90000 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
e1 = (σcf-(𝛎*σl))/E --> (200000-(0.3*90000))/9600000
Evaluating ... ...
e1 = 0.0180208333333333
STEP 3: Convert Result to Output's Unit
0.0180208333333333 --> No Conversion Required
FINAL ANSWER
0.0180208333333333 0.018021 <-- Circumferential strain
(Calculation completed in 00.020 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

Circumferential strain in cylinder Formula

Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder
e1 = (σcf-(𝛎*σl))/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 Circumferential strain in cylinder?

Circumferential strain in cylinder calculator uses Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder to calculate the Circumferential strain, The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed. Circumferential strain is denoted by e1 symbol.

How to calculate Circumferential strain in cylinder using this online calculator? To use this online calculator for Circumferential strain in cylinder, enter Circumferential stress because of fluid pressure cf), Poisson's Ratio (𝛎), Longitudinal Stress l) & Young's Modulus Cylinder (E) and hit the calculate button. Here is how the Circumferential strain in cylinder calculation can be explained with given input values -> -0.002604 = (200000-(0.3*90000))/9600000.

FAQ

What is Circumferential strain in cylinder?
The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed and is represented as e1 = (σcf-(𝛎*σl))/E or Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder. Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5, Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal 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 Circumferential strain in cylinder?
The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed is calculated using Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder. To calculate Circumferential strain in cylinder, you need Circumferential stress because of fluid pressure cf), Poisson's Ratio (𝛎), Longitudinal Stress l) & Young's Modulus Cylinder (E). With our tool, you need to enter the respective value for Circumferential stress because of fluid pressure, Poisson's Ratio, Longitudinal Stress & 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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