Internal Pressure in Thick Cylinder given Radial Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Pi = σr/(((di^2)/((do^2)-(di^2)))*(((do^2)/(4*(r^2)))+1))
This formula uses 5 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.
Radial Stress in Pressurized Cylinder - (Measured in Pascal) - Radial stress in pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is 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.
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.
Radius of pressurized cylinder - (Measured in Meter) - Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.
STEP 1: Convert Input(s) to Base Unit
Radial Stress in Pressurized Cylinder: 80 Newton per Square Millimeter --> 80000000 Pascal (Check conversion ​here)
Inner Diameter of Pressurized Cylinder: 465 Millimeter --> 0.465 Meter (Check conversion ​here)
Outer Diameter of Pressurized Cylinder: 550 Millimeter --> 0.55 Meter (Check conversion ​here)
Radius of pressurized cylinder: 240 Millimeter --> 0.24 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = σr/(((di^2)/((do^2)-(di^2)))*(((do^2)/(4*(r^2)))+1)) --> 80000000/(((0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))+1))
Evaluating ... ...
Pi = 13800848.9858468
STEP 3: Convert Result to Output's Unit
13800848.9858468 Pascal -->13.8008489858468 Megapascal (Check conversion ​here)
FINAL ANSWER
13.8008489858468 13.80085 Megapascal <-- Internal Pressure on Cylinder
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
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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 Radial Stress Formula

​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))
Pi = σr/(((di^2)/((do^2)-(di^2)))*(((do^2)/(4*(r^2)))+1))

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 Radial Stress?

Internal Pressure in Thick Cylinder given Radial Stress calculator uses 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)) to calculate the Internal Pressure on Cylinder, Internal Pressure in Thick Cylinder given Radial 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 Thick Cylinder given Radial Stress using this online calculator? To use this online calculator for Internal Pressure in Thick Cylinder given Radial Stress, enter Radial Stress in Pressurized Cylinder r), Inner Diameter of Pressurized Cylinder (di), Outer Diameter of Pressurized Cylinder (do) & Radius of pressurized cylinder (r) and hit the calculate button. Here is how the Internal Pressure in Thick Cylinder given Radial Stress calculation can be explained with given input values -> 1.4E-5 = 80000000/(((0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))+1)).

FAQ

What is Internal Pressure in Thick Cylinder given Radial Stress?
Internal Pressure in Thick Cylinder given Radial Stress formula is defined as the pressure acting inside the cylindrical shaped vessel on its internal surface and walls and is represented as Pi = σr/(((di^2)/((do^2)-(di^2)))*(((do^2)/(4*(r^2)))+1)) or 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 pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is 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, Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure & Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.
How to calculate Internal Pressure in Thick Cylinder given Radial Stress?
Internal Pressure in Thick Cylinder given Radial 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 = 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)). To calculate Internal Pressure in Thick Cylinder given Radial Stress, you need Radial Stress in Pressurized Cylinder r), Inner Diameter of Pressurized Cylinder (di), Outer Diameter of Pressurized Cylinder (do) & Radius of pressurized cylinder (r). With our tool, you need to enter the respective value for Radial Stress in Pressurized Cylinder, Inner Diameter of Pressurized Cylinder, Outer Diameter of Pressurized Cylinder & Radius 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 Radial Stress in Pressurized Cylinder, Inner Diameter of Pressurized Cylinder, Outer Diameter of Pressurized Cylinder & Radius 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 = Longitudinal Stress in Pressurized Cylinder*((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2))/(Inner Diameter of Pressurized Cylinder^2)
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