Inner Diameter of Pressurized Cylinder from Clavarino's Equation 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+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
di = (2*tw)/((((σt+((1-(2*𝛎)*Pi)))/(σt-((1+𝛎)*Pi)))^0.5)-1)
This formula uses 5 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.
Poisson's Ratio of pressurized cylinder - Poisson's Ratio of pressurized cylinder is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
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)
Poisson's Ratio of pressurized cylinder: 0.3 --> No Conversion Required
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+((1-(2*𝛎)*Pi)))/(σt-((1+𝛎)*Pi)))^0.5)-1) --> (2*0.03)/((((75000000+((1-(2*0.3)*10200000)))/(75000000-((1+0.3)*10200000)))^0.5)-1)
Evaluating ... ...
di = 1.06682636429096
STEP 3: Convert Result to Output's Unit
1.06682636429096 Meter -->1066.82636429096 Millimeter (Check conversion here)
FINAL ANSWER
1066.82636429096 1066.826 Millimeter <-- Inner diameter of pressurized cylinder
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Tiruchirapalli
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National Institute Of Technology (NIT), Hamirpur
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4 Bernie's and Clavarino's Equation Calculators

Inner Diameter of Pressurized Cylinder from Clavarino's Equation
Go Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
Thickness of Pressurized Cylinder from Clavarino's Equation
Go Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
Inner Diameter of Pressurized Cylinder from Bernie's Equation
Go Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
Thickness of Pressurized Cylinder from Bernie's Equation
Go Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+((1-(Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)

Inner Diameter of Pressurized Cylinder from Clavarino's Equation Formula

Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
di = (2*tw)/((((σt+((1-(2*𝛎)*Pi)))/(σt-((1+𝛎)*Pi)))^0.5)-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 Inner Diameter of Pressurized Cylinder from Clavarino's Equation?

Inner Diameter of Pressurized Cylinder from Clavarino's Equation calculator uses Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1) to calculate the Inner diameter of pressurized cylinder, Inner Diameter of Pressurized Cylinder from Clavarino's Equation 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 Pressurized Cylinder from Clavarino's Equation using this online calculator? To use this online calculator for Inner Diameter of Pressurized Cylinder from Clavarino's Equation, enter Thickness of pressurized cylinder wall (tw), Permissible Tensile stress in pressurized cylinder t), Poisson's Ratio of pressurized cylinder (𝛎) & Internal pressure on cylinder (Pi) and hit the calculate button. Here is how the Inner Diameter of Pressurized Cylinder from Clavarino's Equation calculation can be explained with given input values -> 1.1E+6 = (2*0.03)/((((75000000+((1-(2*0.3)*10200000)))/(75000000-((1+0.3)*10200000)))^0.5)-1).

FAQ

What is Inner Diameter of Pressurized Cylinder from Clavarino's Equation?
Inner Diameter of Pressurized Cylinder from Clavarino's Equation is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as di = (2*tw)/((((σt+((1-(2*𝛎)*Pi)))/(σt-((1+𝛎)*Pi)))^0.5)-1) or Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-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, Poisson's Ratio of pressurized cylinder is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5 & 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 Pressurized Cylinder from Clavarino's Equation?
Inner Diameter of Pressurized Cylinder from Clavarino's Equation 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+((1-(2*Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1). To calculate Inner Diameter of Pressurized Cylinder from Clavarino's Equation, you need Thickness of pressurized cylinder wall (tw), Permissible Tensile stress in pressurized cylinder t), Poisson's Ratio of pressurized cylinder (𝛎) & 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, Poisson's Ratio of 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, Poisson's Ratio of pressurized cylinder & Internal pressure on cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inner diameter of pressurized cylinder = (2*Thickness of pressurized cylinder wall)/((((Permissible Tensile stress in pressurized cylinder+((1-(Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))/(Permissible Tensile stress in pressurized cylinder-((1+Poisson's Ratio of pressurized cylinder)*Internal pressure on cylinder)))^0.5)-1)
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