Internal pressure of fluid given Longitudinal stress in cylindrical vessel material 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 Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal pressure of fluid given Longitudinal stress in cylindrical vessel material [P_i]

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Formula

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Internal pressure of fluid given Longitudinal stress in cylindrical vessel material

Formula

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

Example

`"3.78MPa"=("0.09MPa"*4*"525mm")/("50mm")`

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Internal pressure of fluid given Longitudinal stress in cylindrical vessel material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder)
P_i = (σ_l*4*t)/(D_i)
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 a 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 Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Inner 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_i) --> (90000*4*0.525)/(0.05)

Evaluating ... ...

P_i = 3780000

STEP 3: Convert Result to Output's Unit

3780000 Pascal -->3.78 Megapascal (Check conversion here)

FINAL ANSWER

3.78 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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< 10+ Longitudinal Stress Calculators

Longitudinal stress in material given resisting force on thin cylindrical vessel

Go Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)

Thickness of cylindrical vessel given resisting force on thin cylindrical vessel

Go Thickness Of Thin Shell = Force on cylindrical shell/(Longitudinal Stress*pi*Inner Diameter of Cylinder)

Internal diameter of vessel given resisting force on thin cylindrical vessel

Go Inner Diameter of Cylinder = Force on cylindrical shell/(Longitudinal Stress*pi*Thickness Of Thin Shell)

Resisting force on thin cylindrical vessel

Go Force on cylindrical shell = (Longitudinal Stress*pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)

Internal diameter of vessel given Longitudinal stress in cylindrical vessel material

Go Inner Diameter of Cylinder = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Internal Pressure)

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material

Go Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder)

Thickness of vessel given Longitudinal stress in cylindrical vessel material

Go Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(4*Longitudinal Stress)

Longitudinal stress in cylindrical vessel material

Go Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)

Longitudinal stress in thin cylindrical vessel given hoop stress

Go Longitudinal Stress = Hoop Stress/2

Hoop stress in thin cylindrical vessel given longitudinal stress

Go Hoop Stress = 2*Longitudinal Stress

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material Formula

Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder)
P_i = (σ_l*4*t)/(D_i)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Internal pressure of fluid given Longitudinal stress in cylindrical vessel material?

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material calculator uses Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder) to calculate the Internal Pressure, Internal pressure of fluid given Longitudinal stress in cylindrical vessel material is 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 pressure of fluid given Longitudinal stress in cylindrical vessel material using this online calculator? To use this online calculator for Internal pressure of fluid given Longitudinal stress in cylindrical vessel material, enter Longitudinal Stress (σ_l), Thickness Of Thin Shell (t) & Inner Diameter of Cylinder (D_i) and hit the calculate button. Here is how the Internal pressure of fluid given Longitudinal stress in cylindrical vessel material calculation can be explained with given input values -> 8.6E-6 = (90000*4*0.525)/(0.05).

FAQ

What is Internal pressure of fluid given Longitudinal stress in cylindrical vessel material?

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material is 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_i) or Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder). Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure, Thickness Of Thin Shell is the distance through an object & Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

How to calculate Internal pressure of fluid given Longitudinal stress in cylindrical vessel material?

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material is 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 Thin Shell)/(Inner Diameter of Cylinder). To calculate Internal pressure of fluid given Longitudinal stress in cylindrical vessel material, you need Longitudinal Stress (σ_l), Thickness Of Thin Shell (t) & Inner Diameter of Cylinder (D_i). With our tool, you need to enter the respective value for Longitudinal Stress, Thickness Of Thin Shell & Inner 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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