Internal Pressure in Thin Cylinder given Longitudinal Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder
Pi = 4*tw*σl/di
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.
Thickness of pressurized cylinder wall - (Measured in Meter) - Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.
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.
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
Thickness of pressurized cylinder wall: 30 Millimeter --> 0.03 Meter (Check conversion here)
Longitudinal stress in pressurized cylinder: 68 Newton per Square Millimeter --> 68000000 Pascal (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
Pi = 4*twl/di --> 4*0.03*68000000/0.465
Evaluating ... ...
Pi = 17548387.0967742
STEP 3: Convert Result to Output's Unit
17548387.0967742 Pascal -->17.5483870967742 Megapascal (Check conversion here)
FINAL ANSWER
17.5483870967742 17.54839 Megapascal <-- Internal pressure on cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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14 Thin Cylinder Calculators

Thickness of Thin Spherical Shell given Permissible tensile stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder)
Permissible Tensile Stress in Thin Spherical Shell
Go Permissible Tensile stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress
Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Inner diameter of pressurized cylinder
Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress
Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder
Cylinder Wall Thickness of Thin Cylinder given Longitudinal Stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Longitudinal stress in pressurized cylinder)
Longitudinal Stress in Thin Cylinder given Internal Pressure
Go Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
Cylinder Wall Thickness of Thin Cylinder given Tangential Stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Tangential stress in pressurized cylinder)
Internal Pressure in Thin Cylinder given Longitudinal Stress
Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder
Tangential Stress in Thin Cylinder given Internal Pressure
Go Tangential stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Thickness of pressurized cylinder wall)
Inner Diameter of Thin Cylinder given Longitudinal Stress
Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Internal pressure on cylinder
Internal Pressure in Thin Cylinder given Tangential Stress
Go Internal pressure on cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Inner diameter of pressurized cylinder
Inner Diameter of Thin Cylinder given Tangential Stress
Go Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Internal pressure on cylinder
Inner Diameter of Thin Spherical Shell given Volume
Go Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)
Volume of Thin Spherical Shell given Inner Diameter
Go Volume of thin spherical shell = pi*(Inner diameter of pressurized cylinder^3)/6

Internal Pressure in Thin Cylinder given Longitudinal Stress Formula

Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder
Pi = 4*tw*σl/di

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 Thin Cylinder given Longitudinal Stress?

Internal Pressure in Thin Cylinder given Longitudinal Stress calculator uses Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder to calculate the Internal pressure on cylinder, Internal Pressure in Thin 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 Pi symbol.

How to calculate Internal Pressure in Thin Cylinder given Longitudinal Stress using this online calculator? To use this online calculator for Internal Pressure in Thin Cylinder given Longitudinal Stress, enter Thickness of pressurized cylinder wall (tw), Longitudinal stress in pressurized cylinder l) & Inner diameter of pressurized cylinder (di) and hit the calculate button. Here is how the Internal Pressure in Thin Cylinder given Longitudinal Stress calculation can be explained with given input values -> 1.8E-5 = 4*0.03*68000000/0.465.

FAQ

What is Internal Pressure in Thin Cylinder given Longitudinal Stress?
Internal Pressure in Thin 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 Pi = 4*twl/di or Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder. Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall, 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 & 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 Thin Cylinder given Longitudinal Stress?
Internal Pressure in Thin 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 = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder. To calculate Internal Pressure in Thin Cylinder given Longitudinal Stress, you need Thickness of pressurized cylinder wall (tw), Longitudinal stress in pressurized cylinder l) & Inner diameter of pressurized cylinder (di). With our tool, you need to enter the respective value for Thickness of pressurized cylinder wall, Longitudinal stress in 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 Thickness of pressurized cylinder wall, Longitudinal stress in 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 = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Inner diameter of pressurized cylinder
  • Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Inner diameter of pressurized cylinder
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