External Pressure acting on Thick Cylinder given Radial Stress Calculator

✖Radial stress in pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is subjected to internal pressure.ⓘ Radial stress in pressurized cylinder [σ_r]			+10% -10%
✖Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.ⓘ Outer diameter of pressurized cylinder [d_o]			+10% -10%
✖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%
✖Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.ⓘ Radius of pressurized cylinder [r]			+10% -10%

✖External pressure on cylinder is the amount of pressure of force per unit area acting onto the external surface of a cylinder.ⓘ External Pressure acting on Thick Cylinder given Radial Stress [P_o]

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External Pressure acting on Thick Cylinder given Radial Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

External pressure on cylinder = Radial stress in pressurized cylinder/(((Outer diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Inner diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))
P_o = σ_r/(((d_o^2)/((d_o^2)-(d_i^2)))*(((d_i^2)/(4*(r^2)))+1))
This formula uses 5 Variables

Variables Used

External pressure on cylinder - (Measured in Pascal) - External pressure on cylinder is the amount of pressure of force per unit area acting onto the external surface of a cylinder.
Radial stress in pressurized cylinder - (Measured in Pascal) - Radial stress in pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is subjected to internal pressure.
Outer diameter of pressurized cylinder - (Measured in Meter) - Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.
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.
Radius of pressurized cylinder - (Measured in Meter) - Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.

STEP 1: Convert Input(s) to Base Unit

Radial stress in pressurized cylinder: 80 Newton per Square Millimeter --> 80000000 Pascal (Check conversion here)
Outer diameter of pressurized cylinder: 550 Millimeter --> 0.55 Meter (Check conversion here)
Inner diameter of pressurized cylinder: 465 Millimeter --> 0.465 Meter (Check conversion here)
Radius of pressurized cylinder: 240 Millimeter --> 0.24 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_o = σ_r/(((d_o^2)/((d_o^2)-(d_i^2)))*(((d_i^2)/(4*(r^2)))+1)) --> 80000000/(((0.55^2)/((0.55^2)-(0.465^2)))*(((0.465^2)/(4*(0.24^2)))+1))

Evaluating ... ...

P_o = 11770340.3626371

STEP 3: Convert Result to Output's Unit

11770340.3626371 Pascal -->11.7703403626371 Megapascal (Check conversion here)

FINAL ANSWER

11.7703403626371 ≈ 11.77034 Megapascal <-- External pressure on cylinder

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Pressure Vessels » Thick Cylinder Vessel » External Pressure acting on Thick Cylinder given Radial Stress

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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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< Thick Cylinder Vessel Calculators

Internal Pressure in Thick Cylinder given Tangential Stress

LaTeX Go Internal pressure on cylinder = Tangential stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

Tangential Stress in Thick Cylinder subjected to Internal Pressure

LaTeX Go Tangential stress in pressurized cylinder = (Internal pressure on cylinder*(Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)

Internal Pressure in Thick Cylinder given Radial Stress

LaTeX Go Internal pressure on cylinder = Radial stress in pressurized cylinder/(((Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

Radial Stress in Thick Cylinder subjected to Internal Pressure

LaTeX Go Radial stress in pressurized cylinder = (Internal pressure on cylinder*(Inner diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Outer diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))-1)

External Pressure acting on Thick Cylinder given Radial Stress 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 External Pressure acting on Thick Cylinder given Radial Stress?

External Pressure acting on Thick Cylinder given Radial Stress calculator uses External pressure on cylinder = Radial stress in pressurized cylinder/(((Outer diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Inner diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)) to calculate the External pressure on cylinder, External Pressure acting on Thick Cylinder given Radial Stress formula is defined as the pressure acting onto the outside or the external surface of a pressure vessel. External pressure on cylinder is denoted by P_o symbol.

How to calculate External Pressure acting on Thick Cylinder given Radial Stress using this online calculator? To use this online calculator for External Pressure acting on Thick Cylinder given Radial Stress, enter Radial stress in pressurized cylinder (σ_r), Outer diameter of pressurized cylinder (d_o), Inner diameter of pressurized cylinder (d_i) & Radius of pressurized cylinder (r) and hit the calculate button. Here is how the External Pressure acting on Thick Cylinder given Radial Stress calculation can be explained with given input values -> 1.2E-5 = 80000000/(((0.55^2)/((0.55^2)-(0.465^2)))*(((0.465^2)/(4*(0.24^2)))+1)).

FAQ

What is External Pressure acting on Thick Cylinder given Radial Stress?

External Pressure acting on Thick Cylinder given Radial Stress formula is defined as the pressure acting onto the outside or the external surface of a pressure vessel and is represented as P_o = σ_r/(((d_o^2)/((d_o^2)-(d_i^2)))*(((d_i^2)/(4*(r^2)))+1)) or External pressure on cylinder = Radial stress in pressurized cylinder/(((Outer diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Inner diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)). Radial stress in pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is subjected to internal pressure, Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure, Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure & Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.

How to calculate External Pressure acting on Thick Cylinder given Radial Stress?

External Pressure acting on Thick Cylinder given Radial Stress formula is defined as the pressure acting onto the outside or the external surface of a pressure vessel is calculated using External pressure on cylinder = Radial stress in pressurized cylinder/(((Outer diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Inner diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)). To calculate External Pressure acting on Thick Cylinder given Radial Stress, you need Radial stress in pressurized cylinder (σ_r), Outer diameter of pressurized cylinder (d_o), Inner diameter of pressurized cylinder (d_i) & Radius of pressurized cylinder (r). With our tool, you need to enter the respective value for Radial stress in pressurized cylinder, Outer diameter of pressurized cylinder, Inner diameter of pressurized cylinder & Radius 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 External pressure on cylinder?

In this formula, External pressure on cylinder uses Radial stress in pressurized cylinder, Outer diameter of pressurized cylinder, Inner diameter of pressurized cylinder & Radius of pressurized cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -

External pressure on cylinder = Tangential stress in pressurized cylinder/(((Outer diameter of pressurized cylinder^2)/((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2)))*(((Inner diameter of pressurized cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))

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