Radial Stress in Thick Cylinder subjected to Internal Pressure Calculator

✖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%
✖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%
✖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%
✖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%

✖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 Thick Cylinder subjected to Internal Pressure [σ_r]

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Formula

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Radial Stress in Thick Cylinder subjected to Internal Pressure

Formula

`"σ"_{"r"} = ("P"_{"i"}*("d"_{"i"}^2)/(("d"_{"o"}^2)-("d"_{"i"}^2)))*((("d"_{"o"}^2)/(4*("r"^2)))-1)`

Example

`"7.999704N/mm²"=("10.2MPa"*(("465mm")^2)/((("550mm")^2)-(("465mm")^2)))*(((("550mm")^2)/(4*(("240mm")^2)))-1)`

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Radial Stress in Thick Cylinder subjected to Internal Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_r = (P_i*(d_i^2)/((d_o^2)-(d_i^2)))*(((d_o^2)/(4*(r^2)))-1)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.
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

Internal pressure on cylinder: 10.2 Megapascal --> 10200000 Pascal (Check conversion here)
Inner diameter of pressurized cylinder: 465 Millimeter --> 0.465 Meter (Check conversion here)
Outer diameter of pressurized cylinder: 550 Millimeter --> 0.55 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

σ_r = (P_i*(d_i^2)/((d_o^2)-(d_i^2)))*(((d_o^2)/(4*(r^2)))-1) --> (10200000*(0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))-1)

Evaluating ... ...

σ_r = 7999703.66379311

STEP 3: Convert Result to Output's Unit

7999703.66379311 Pascal -->7.99970366379311 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

7.99970366379311 ≈ 7.999704 Newton per Square Millimeter <-- Radial stress in pressurized cylinder

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Pressure Vessels » Thick Cylinder Vessel » Radial Stress in Thick Cylinder subjected to Internal Pressure

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 10+ Thick Cylinder Vessel Calculators

External Pressure acting on Thick Cylinder given Tangential Stress

Go 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))

Internal Pressure in Thick Cylinder given Tangential Stress

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

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)

Tangential Stress in Thick Cylinder subjected to External Pressure

Go Tangential stress in pressurized cylinder = (External pressure on 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)

External Pressure acting on Thick Cylinder given Radial Stress

Go 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))

Internal Pressure in Thick Cylinder given Radial Stress

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

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)

Radial Stress in Thick Cylinder subjected to External Pressure

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

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure

Go Longitudinal 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)))

Internal Pressure in Thick Cylinder given Longitudinal Stress

Go Internal pressure on cylinder = Longitudinal stress in pressurized cylinder*((Outer diameter of pressurized cylinder^2)-(Inner diameter of pressurized cylinder^2))/(Inner diameter of pressurized cylinder^2)

Radial Stress in Thick Cylinder subjected to Internal Pressure Formula

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 Radial Stress in Thick Cylinder subjected to Internal Pressure?

Radial Stress in Thick Cylinder subjected to Internal Pressure calculator uses 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) to calculate the Radial stress in pressurized cylinder, Radial Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress acting in the walls of a thick cylinder due to the force acting along the radial direction of the cylinder. Radial stress in pressurized cylinder is denoted by σ_r symbol.

How to calculate Radial Stress in Thick Cylinder subjected to Internal Pressure using this online calculator? To use this online calculator for Radial Stress in Thick Cylinder subjected to Internal Pressure, enter Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i), Outer diameter of pressurized cylinder (d_o) & Radius of pressurized cylinder (r) and hit the calculate button. Here is how the Radial Stress in Thick Cylinder subjected to Internal Pressure calculation can be explained with given input values -> 8E-6 = (10200000*(0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))-1).

FAQ

What is Radial Stress in Thick Cylinder subjected to Internal Pressure?

Radial Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress acting in the walls of a thick cylinder due to the force acting along the radial direction of the cylinder and is represented as σ_r = (P_i*(d_i^2)/((d_o^2)-(d_i^2)))*(((d_o^2)/(4*(r^2)))-1) or 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). Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder, Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure, Outer diameter of pressurized cylinder is the diameter of the outer edge 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 Radial Stress in Thick Cylinder subjected to Internal Pressure?

Radial Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress acting in the walls of a thick cylinder due to the force acting along the radial direction of the cylinder is calculated using 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). To calculate Radial Stress in Thick Cylinder subjected to Internal Pressure, you need Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i), Outer diameter of pressurized cylinder (d_o) & Radius of pressurized cylinder (r). With our tool, you need to enter the respective value for Internal pressure on cylinder, Inner diameter of pressurized cylinder, Outer 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 Radial stress in pressurized cylinder?

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

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

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