Internal Diameter of Pressurized Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1)
di = 2*tw/((((σt+Pi)/(σt-Pi))^(1/2))-1)
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 = 2*tw/((((σt+Pi)/(σt-Pi))^(1/2))-1) --> 2*0.03/((((75000000+10200000)/(75000000-10200000))^(1/2))-1)
Evaluating ... ...
di = 0.409126949370532
STEP 3: Convert Result to Output's Unit
0.409126949370532 Meter -->409.126949370532 Millimeter (Check conversion ​here)
FINAL ANSWER
409.126949370532 409.1269 Millimeter <-- Inner Diameter of Pressurized Cylinder
(Calculation completed in 00.004 seconds)

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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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Bolt of Pressurized Cylinder Calculators

Thickness of Pressurized Cylinder
​ LaTeX ​ Go Thickness of Pressurized Cylinder Wall = (Inner Diameter of Pressurized Cylinder/2)*((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1)
Internal Diameter of Pressurized Cylinder
​ LaTeX ​ Go Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1)
Resultant Load on Bolt given Pre load
​ LaTeX ​ Go Resultant Load on Pressurized Cylinder Bolt = Initial Preload Due to Bolt Tightening+Increase in Bolt Load of Cylinder
Decrease in Outer Diameter of Cylinder given Total deformation in Pressure Vessel
​ LaTeX ​ Go Decrease in Outer Diameter of Cylinder = Total Deformation of Pressure Vessel-Increase in Inner Diameter of Jacket

Internal Diameter of Pressurized Cylinder Formula

​LaTeX ​Go
Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1)
di = 2*tw/((((σt+Pi)/(σt-Pi))^(1/2))-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 Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder calculator uses Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1) to calculate the Inner Diameter of Pressurized Cylinder, Internal Diameter of Pressurized Cylinder 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 Internal Diameter of Pressurized Cylinder using this online calculator? To use this online calculator for Internal Diameter of Pressurized Cylinder, 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 Internal Diameter of Pressurized Cylinder calculation can be explained with given input values -> 409126.9 = 2*0.03/((((75000000+10200000)/(75000000-10200000))^(1/2))-1).

FAQ

What is Internal Diameter of Pressurized Cylinder?
Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as di = 2*tw/((((σt+Pi)/(σt-Pi))^(1/2))-1) or Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1). 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 Internal Diameter of Pressurized Cylinder?
Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel is calculated using Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1). To calculate Internal Diameter of Pressurized Cylinder, 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.
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