Longitudinal 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%

✖Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.ⓘ Longitudinal Stress in Thick Cylinder subjected to Internal Pressure [σ_l]

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Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
σ_l = (P_i*(d_i^2)/((d_o^2)-(d_i^2)))
This formula uses 4 Variables

Variables Used

Longitudinal Stress in Pressurized Cylinder - (Measured in Pascal) - Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis 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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = (P_i*(d_i^2)/((d_o^2)-(d_i^2))) --> (10200000*(0.465^2)/((0.55^2)-(0.465^2)))

Evaluating ... ...

σ_l = 25563546.7980296

STEP 3: Convert Result to Output's Unit

25563546.7980296 Pascal -->25.5635467980296 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

25.5635467980296 ≈ 25.56355 Newton per Square Millimeter <-- Longitudinal Stress in Pressurized Cylinder

(Calculation completed in 00.004 seconds)

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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

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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)

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure 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 Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure calculator uses 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))) to calculate the Longitudinal Stress in Pressurized Cylinder, Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is defined as the stress produced when a vessel is subjected to internal pressure. The direction of the longitudinal stress in a cylindrical vessel is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of its length. Longitudinal Stress in Pressurized Cylinder is denoted by σ_l symbol.

How to calculate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure using this online calculator? To use this online calculator for Longitudinal 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) and hit the calculate button. Here is how the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure calculation can be explained with given input values -> 2.6E-5 = (10200000*(0.465^2)/((0.55^2)-(0.465^2))).

FAQ

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

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is defined as the stress produced when a vessel is subjected to internal pressure. The direction of the longitudinal stress in a cylindrical vessel is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of its length and is represented as σ_l = (P_i*(d_i^2)/((d_o^2)-(d_i^2))) or 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 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.

How to calculate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is defined as the stress produced when a vessel is subjected to internal pressure. The direction of the longitudinal stress in a cylindrical vessel is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of its length is calculated using 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))). To calculate Longitudinal 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). 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 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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