Internal Pressure in Thick Cylinder given Longitudinal Stress Calculator

✖Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.ⓘ Longitudinal stress in pressurized cylinder [σ_l]			+10% -10%
✖Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.ⓘ Outer diameter of pressurized cylinder [d_o]			+10% -10%
✖Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.ⓘ Inner diameter of pressurized cylinder [d_i]			+10% -10%

✖Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.ⓘ Internal Pressure in Thick Cylinder given Longitudinal Stress [P_i]

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Internal Pressure in Thick Cylinder given Longitudinal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal pressure on cylinder = Longitudinal stress in pressurized cylinder*((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2))/(Inner diameter of pressurized cylinder^2)
P_i = σ_l*((d_o^2)-(d_i^2))/(d_i^2)
This formula uses 4 Variables

Variables Used

Internal pressure on cylinder - (Measured in Pascal) - Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.
Longitudinal stress in pressurized cylinder - (Measured in Pascal) - Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.
Outer diameter of pressurized cylinder - (Measured in Meter) - Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.
Inner diameter of pressurized cylinder - (Measured in Meter) - Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.

STEP 1: Convert Input(s) to Base Unit

Longitudinal stress in pressurized cylinder: 68 Newton per Square Millimeter --> 68000000 Pascal (Check conversion here)
Outer diameter of pressurized cylinder: 550 Millimeter --> 0.55 Meter (Check conversion here)
Inner diameter of pressurized cylinder: 465 Millimeter --> 0.465 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = σ_l*((d_o^2)-(d_i^2))/(d_i^2) --> 68000000*((0.55^2)-(0.465^2))/(0.465^2)

Evaluating ... ...

P_i = 27132385.2468493

STEP 3: Convert Result to Output's Unit

27132385.2468493 Pascal -->27.1323852468493 Megapascal (Check conversion here)

FINAL ANSWER

27.1323852468493 ≈ 27.13239 Megapascal <-- Internal pressure on cylinder

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Thick Cylinder Vessel Calculators

Internal Pressure in Thick Cylinder given Tangential Stress

LaTeX Go Internal pressure on cylinder = Tangential stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

Tangential Stress in Thick Cylinder subjected to Internal Pressure

LaTeX Go Tangential stress in pressurized cylinder = (Internal pressure on cylinder*(Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)

Internal Pressure in Thick Cylinder given Radial Stress

LaTeX Go Internal pressure on cylinder = Radial stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

Radial Stress in Thick Cylinder subjected to Internal Pressure

LaTeX Go Radial stress in pressurized cylinder = (Internal pressure on cylinder*(Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))-1)

Internal Pressure in Thick Cylinder given Longitudinal Stress Formula

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What is a Pressure Vessel?

A pressure vessel is a container designed to hold gases or liquids at a pressure substantially different from the ambient pressure.

How to Calculate Internal Pressure in Thick Cylinder given Longitudinal Stress?

Internal Pressure in Thick Cylinder given Longitudinal Stress calculator uses Internal pressure on cylinder = Longitudinal stress in pressurized cylinder*((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2))/(Inner diameter of pressurized cylinder^2) to calculate the Internal pressure on cylinder, Internal Pressure in Thick Cylinder given Longitudinal Stress formula is defined as the pressure acting inside the cylindrical-shaped vessel on its internal surface and walls. Internal pressure on cylinder is denoted by P_i symbol.

How to calculate Internal Pressure in Thick Cylinder given Longitudinal Stress using this online calculator? To use this online calculator for Internal Pressure in Thick Cylinder given Longitudinal Stress, enter Longitudinal stress in pressurized cylinder (σ_l), Outer diameter of pressurized cylinder (d_o) & Inner diameter of pressurized cylinder (d_i) and hit the calculate button. Here is how the Internal Pressure in Thick Cylinder given Longitudinal Stress calculation can be explained with given input values -> 2.7E-5 = 68000000*((0.55^2)-(0.465^2))/(0.465^2).

FAQ

What is Internal Pressure in Thick Cylinder given Longitudinal Stress?

Internal Pressure in Thick Cylinder given Longitudinal Stress formula is defined as the pressure acting inside the cylindrical-shaped vessel on its internal surface and walls and is represented as P_i = σ_l*((d_o^2)-(d_i^2))/(d_i^2) or Internal pressure on cylinder = Longitudinal stress in pressurized cylinder*((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2))/(Inner diameter of pressurized cylinder^2). Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure, Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure & Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.

How to calculate Internal Pressure in Thick Cylinder given Longitudinal Stress?

Internal Pressure in Thick Cylinder given Longitudinal Stress formula is defined as the pressure acting inside the cylindrical-shaped vessel on its internal surface and walls is calculated using Internal pressure on cylinder = Longitudinal stress in pressurized cylinder*((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2))/(Inner diameter of pressurized cylinder^2). To calculate Internal Pressure in Thick Cylinder given Longitudinal Stress, you need Longitudinal stress in pressurized cylinder (σ_l), Outer diameter of pressurized cylinder (d_o) & Inner diameter of pressurized cylinder (d_i). With our tool, you need to enter the respective value for Longitudinal stress in pressurized cylinder, Outer diameter of pressurized cylinder & Inner diameter of pressurized cylinder 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 Internal pressure on cylinder?

In this formula, Internal pressure on cylinder uses Longitudinal stress in pressurized cylinder, Outer diameter of pressurized cylinder & Inner diameter of pressurized cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Internal pressure on cylinder = Tangential stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))
Internal pressure on cylinder = Radial stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

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