Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Internal Pressure on Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Inner Diameter of Pressurized Cylinder
Pi = 4*tw*σt/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.
Permissible Tensile Stress in Pressurized Cylinder - (Measured in Pascal) - Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder.
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)
Permissible Tensile Stress in Pressurized Cylinder: 75 Newton per Square Millimeter --> 75000000 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*twt/di --> 4*0.03*75000000/0.465
Evaluating ... ...
Pi = 19354838.7096774
STEP 3: Convert Result to Output's Unit
19354838.7096774 Pascal -->19.3548387096774 Megapascal (Check conversion ​here)
FINAL ANSWER
19.3548387096774 19.35484 Megapascal <-- Internal Pressure on Cylinder
(Calculation completed in 00.008 seconds)

Credits

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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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Thin Cylinder Vessel Calculators

Cylinder Wall Thickness of Thin Cylinder given Tangential Stress
​ LaTeX ​ Go Thickness of Pressurized Cylinder Wall = Internal Pressure on Cylinder*Inner Diameter of Pressurized Cylinder/(2*Tangential Stress in Pressurized Cylinder)
Tangential Stress in Thin Cylinder given Internal Pressure
​ LaTeX ​ Go Tangential Stress in Pressurized Cylinder = Internal Pressure on Cylinder*Inner Diameter of Pressurized Cylinder/(2*Thickness of Pressurized Cylinder Wall)
Internal Pressure in Thin Cylinder given Tangential Stress
​ LaTeX ​ 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
​ LaTeX ​ Go Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall*Tangential Stress in Pressurized Cylinder/Internal Pressure on Cylinder

Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress Formula

​LaTeX ​Go
Internal Pressure on Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Inner Diameter of Pressurized Cylinder
Pi = 4*tw*σt/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 Spherical Shell given Permissible Tensile Stress?

Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress calculator uses Internal Pressure on Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Inner Diameter of Pressurized Cylinder to calculate the Internal Pressure on Cylinder, Internal Pressure in Thin Spherical Shell given Permissible Tensile 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 Spherical Shell given Permissible Tensile Stress using this online calculator? To use this online calculator for Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress, enter Thickness of Pressurized Cylinder Wall (tw), Permissible Tensile Stress in Pressurized Cylinder t) & Inner Diameter of Pressurized Cylinder (di) and hit the calculate button. Here is how the Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress calculation can be explained with given input values -> 1.9E-5 = 4*0.03*75000000/0.465.

FAQ

What is Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress?
Internal Pressure in Thin Spherical Shell given Permissible Tensile 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*twt/di or Internal Pressure on Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile 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, Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder & 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 Spherical Shell given Permissible Tensile Stress?
Internal Pressure in Thin Spherical Shell given Permissible Tensile 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*Permissible Tensile Stress in Pressurized Cylinder/Inner Diameter of Pressurized Cylinder. To calculate Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress, you need Thickness of Pressurized Cylinder Wall (tw), Permissible Tensile Stress in Pressurized Cylinder t) & Inner Diameter of Pressurized Cylinder (di). With our tool, you need to enter the respective value for Thickness of Pressurized Cylinder Wall, Permissible Tensile 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, Permissible Tensile 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*Longitudinal Stress in Pressurized Cylinder/Inner Diameter of Pressurized Cylinder
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