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

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)
D = (ฯƒl*(4*t))/(Pi)
This formula uses 4 Variables
Variables Used
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Thickness Of Wire - (Measured in Meter) - Thickness Of Wire is the distance through a wire.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
STEP 1: Convert Input(s) to Base Unit
Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)
Thickness Of Wire: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Internal Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (ฯƒl*(4*t))/(Pi) --> (90000*(4*1.2))/(10000000)
Evaluating ... ...
D = 0.0432
STEP 3: Convert Result to Output's Unit
0.0432 Meter -->43.2 Millimeter (Check conversion here)
FINAL ANSWER
43.2 Millimeter <-- Diameter of 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

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

Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)
D = (ฯƒl*(4*t))/(Pi)

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

Diameter of cylinder given longitudinal stress in wire due to fluid pressure calculator uses Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure) to calculate the Diameter of Cylinder, The Diameter of cylinder given longitudinal stress in wire due to fluid pressure formula is defined as a chord that runs through the circle's center point. It is the longest possible chord of any circle. Diameter of Cylinder is denoted by D symbol.

How to calculate Diameter of cylinder given longitudinal stress in wire due to fluid pressure using this online calculator? To use this online calculator for Diameter of cylinder given longitudinal stress in wire due to fluid pressure, enter Longitudinal Stress (ฯƒl), Thickness Of Wire (t) & Internal Pressure (Pi) and hit the calculate button. Here is how the Diameter of cylinder given longitudinal stress in wire due to fluid pressure calculation can be explained with given input values -> 43200 = (90000*(4*1.2))/(10000000).

FAQ

What is Diameter of cylinder given longitudinal stress in wire due to fluid pressure?
The Diameter of cylinder given longitudinal stress in wire due to fluid pressure formula is defined as a chord that runs through the circle's center point. It is the longest possible chord of any circle and is represented as D = (ฯƒl*(4*t))/(Pi) or Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure). Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure, Thickness Of Wire is the distance through a wire & Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
How to calculate Diameter of cylinder given longitudinal stress in wire due to fluid pressure?
The Diameter of cylinder given longitudinal stress in wire due to fluid pressure formula is defined as a chord that runs through the circle's center point. It is the longest possible chord of any circle is calculated using Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure). To calculate Diameter of cylinder given longitudinal stress in wire due to fluid pressure, you need Longitudinal Stress (ฯƒl), Thickness Of Wire (t) & Internal Pressure (Pi). With our tool, you need to enter the respective value for Longitudinal Stress, Thickness Of Wire & Internal Pressure 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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