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

✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+10% -10%
✖Thickness Of Wire is the distance through a wire.ⓘ Thickness Of Wire [t]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal fluid pressure given longitudinal stress in wire due to fluid pressure [P_i]

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Formula

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

Formula

`"P"_{"i"} = ("σ"_{"l"}*(4*"t"))/("D")`

Example

`"8.64MPa"=("0.09MPa"*(4*"1200mm"))/("50mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder)
P_i = (σ_l*(4*t))/(D)
This formula uses 4 Variables

Variables Used

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.
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.
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

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)
Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (σ_l*(4*t))/(D) --> (90000*(4*1.2))/(0.05)

Evaluating ... ...

P_i = 8640000

STEP 3: Convert Result to Output's Unit

8640000 Pascal -->8.64 Megapascal (Check conversion here)

FINAL ANSWER

8.64 Megapascal <-- Internal Pressure

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

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

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

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

Internal fluid pressure given longitudinal stress in wire due to fluid pressure calculator uses Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder) to calculate the Internal Pressure, The Internal fluid pressure given longitudinal stress in wire due to fluid pressure formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature. Internal Pressure is denoted by P_i symbol.

How to calculate Internal fluid pressure given longitudinal stress in wire due to fluid pressure using this online calculator? To use this online calculator for Internal fluid pressure given longitudinal stress in wire due to fluid pressure, enter Longitudinal Stress (σ_l), Thickness Of Wire (t) & Diameter of Cylinder (D) and hit the calculate button. Here is how the Internal fluid pressure given longitudinal stress in wire due to fluid pressure calculation can be explained with given input values -> 8.6E-6 = (90000*(4*1.2))/(0.05).

FAQ

What is Internal fluid pressure given longitudinal stress in wire due to fluid pressure?

The Internal fluid pressure given longitudinal stress in wire due to fluid pressure formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature and is represented as P_i = (σ_l*(4*t))/(D) or Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder). 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 & The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

How to calculate Internal fluid pressure given longitudinal stress in wire due to fluid pressure?

The Internal fluid pressure given longitudinal stress in wire due to fluid pressure formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature is calculated using Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder). To calculate Internal fluid pressure given longitudinal stress in wire due to fluid pressure, you need Longitudinal Stress (σ_l), Thickness Of Wire (t) & Diameter of Cylinder (D). With our tool, you need to enter the respective value for Longitudinal Stress, Thickness Of Wire & Diameter of 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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