Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder
di = 4*tw*σt/Pi
This formula uses 4 Variables
Variables Used
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.
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.
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.
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)
Internal pressure on cylinder: 10.2 Megapascal --> 10200000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
di = 4*twt/Pi --> 4*0.03*75000000/10200000
Evaluating ... ...
di = 0.882352941176471
STEP 3: Convert Result to Output's Unit
0.882352941176471 Meter -->882.352941176471 Millimeter (Check conversion here)
FINAL ANSWER
882.352941176471 882.3529 Millimeter <-- Inner diameter of pressurized cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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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

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress Formula

Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder
di = 4*tw*σt/Pi

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 Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress calculator uses Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder to calculate the Inner diameter of pressurized cylinder, Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel. Inner diameter of pressurized cylinder is denoted by di symbol.

How to calculate Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress using this online calculator? To use this online calculator for Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress, enter Thickness of pressurized cylinder wall (tw), Permissible Tensile stress in pressurized cylinder t) & Internal pressure on cylinder (Pi) and hit the calculate button. Here is how the Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress calculation can be explained with given input values -> 882352.9 = 4*0.03*75000000/10200000.

FAQ

What is Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?
Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as di = 4*twt/Pi or Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on 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 & Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.
How to calculate Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?
Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel is calculated using Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder. To calculate Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress, you need Thickness of pressurized cylinder wall (tw), Permissible Tensile stress in pressurized cylinder t) & Internal pressure on cylinder (Pi). With our tool, you need to enter the respective value for Thickness of pressurized cylinder wall, Permissible Tensile stress in pressurized cylinder & Internal pressure on 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 Inner diameter of pressurized cylinder?
In this formula, Inner diameter of pressurized cylinder uses Thickness of pressurized cylinder wall, Permissible Tensile stress in pressurized cylinder & Internal pressure on cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Internal pressure on cylinder
  • Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Internal pressure on cylinder
  • Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)
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