Thickness of Pressurized Cylinder from Bernie's Equation Calculator

✖Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.ⓘ Inner diameter of pressurized cylinder [d_i]			+10% -10%
✖Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder.ⓘ Permissible Tensile stress in pressurized cylinder [σ_t]			+10% -10%
✖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.ⓘ Poisson's Ratio of pressurized cylinder [𝛎]			+10% -10%
✖Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.ⓘ Internal pressure on cylinder [P_i]			+10% -10%

✖Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.ⓘ Thickness of Pressurized Cylinder from Bernie's Equation [t_w]

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Thickness of Pressurized Cylinder from Bernie's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_w = (d_i/2)*((((σ_t+((1-(𝛎)*P_i)))/(σ_t-((1+𝛎)*P_i)))^0.5)-1)
This formula uses 5 Variables

Variables Used

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.
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.
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

Inner diameter of pressurized cylinder: 465 Millimeter --> 0.465 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

t_w = (d_i/2)*((((σ_t+((1-(𝛎)*P_i)))/(σ_t-((1+𝛎)*P_i)))^0.5)-1) --> (0.465/2)*((((75000000+((1-(0.3)*10200000)))/(75000000-((1+0.3)*10200000)))^0.5)-1)

Evaluating ... ...

t_w = 0.0184717647013224

STEP 3: Convert Result to Output's Unit

0.0184717647013224 Meter -->18.4717647013224 Millimeter (Check conversion here)

FINAL ANSWER

18.4717647013224 ≈ 18.47176 Millimeter <-- Thickness of pressurized cylinder wall

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Pressure Vessels » Bernie's and Clavarino's Equation » Thickness of Pressurized Cylinder from Bernie's Equation

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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< Bernie's and Clavarino's Equation Calculators

Inner Diameter of Pressurized Cylinder from Clavarino's Equation

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Thickness of Pressurized Cylinder from Bernie's Equation Formula

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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 Thickness of Pressurized Cylinder from Bernie's Equation?

Thickness of Pressurized Cylinder from Bernie's Equation calculator uses 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) to calculate the Thickness of pressurized cylinder wall, Thickness of Pressurized Cylinder from Bernie's Equation formula is defined as the wall thickness of a pressurized cylindrical vessel. Thickness of pressurized cylinder wall is denoted by t_w symbol.

How to calculate Thickness of Pressurized Cylinder from Bernie's Equation using this online calculator? To use this online calculator for Thickness of Pressurized Cylinder from Bernie's Equation, enter Inner diameter of pressurized cylinder (d_i), Permissible Tensile stress in pressurized cylinder (σ_t), Poisson's Ratio of pressurized cylinder (𝛎) & Internal pressure on cylinder (P_i) and hit the calculate button. Here is how the Thickness of Pressurized Cylinder from Bernie's Equation calculation can be explained with given input values -> 18471.76 = (0.465/2)*((((75000000+((1-(0.3)*10200000)))/(75000000-((1+0.3)*10200000)))^0.5)-1).

FAQ

What is Thickness of Pressurized Cylinder from Bernie's Equation?

Thickness of Pressurized Cylinder from Bernie's Equation formula is defined as the wall thickness of a pressurized cylindrical vessel and is represented as t_w = (d_i/2)*((((σ_t+((1-(𝛎)*P_i)))/(σ_t-((1+𝛎)*P_i)))^0.5)-1) or 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 is the diameter of the inner circle or the internal surface of a cylinder under pressure, 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 Thickness of Pressurized Cylinder from Bernie's Equation?

Thickness of Pressurized Cylinder from Bernie's Equation formula is defined as the wall thickness of a pressurized cylindrical vessel is calculated using 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). To calculate Thickness of Pressurized Cylinder from Bernie's Equation, you need Inner diameter of pressurized cylinder (d_i), Permissible Tensile stress in pressurized cylinder (σ_t), Poisson's Ratio of pressurized cylinder (𝛎) & Internal pressure on cylinder (P_i). With our tool, you need to enter the respective value for Inner diameter of pressurized cylinder, 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 Thickness of pressurized cylinder wall?

In this formula, Thickness of pressurized cylinder wall uses Inner diameter of pressurized cylinder, 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 -

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)

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