Longitudinal Stress in Thin Cylinder given 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%
✖Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.ⓘ Thickness of pressurized cylinder wall [t_w]			+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 Thin Cylinder given Internal Pressure [σ_l]

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Longitudinal Stress in Thin Cylinder given Internal Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
σ_l = P_i*d_i/(4*t_w)
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.
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.

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)
Thickness of pressurized cylinder wall: 30 Millimeter --> 0.03 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = P_i*d_i/(4*t_w) --> 10200000*0.465/(4*0.03)

Evaluating ... ...

σ_l = 39525000

STEP 3: Convert Result to Output's Unit

39525000 Pascal -->39.525 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

39.525 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

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Thin Cylinder Vessel Calculators

Cylinder Wall Thickness of Thin Cylinder given Tangential Stress

LaTeX Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Tangential stress in pressurized cylinder)

Tangential Stress in Thin Cylinder given Internal Pressure

LaTeX Go Tangential stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Thickness of pressurized cylinder wall)

Internal Pressure in Thin Cylinder given Tangential Stress

LaTeX Go Internal pressure on cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Inner diameter of pressurized cylinder

Inner Diameter of Thin Cylinder given Tangential Stress

LaTeX Go Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Internal pressure on cylinder

Longitudinal Stress in Thin Cylinder given Internal Pressure Formula

LaTeX Go

Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
σ_l = P_i*d_i/(4*t_w)

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 Thin Cylinder given Internal Pressure?

Longitudinal Stress in Thin Cylinder given Internal Pressure calculator uses Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall) to calculate the Longitudinal stress in pressurized cylinder, Longitudinal Stress in Thin Cylinder given 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 Thin Cylinder given Internal Pressure using this online calculator? To use this online calculator for Longitudinal Stress in Thin Cylinder given Internal Pressure, enter Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i) & Thickness of pressurized cylinder wall (t_w) and hit the calculate button. Here is how the Longitudinal Stress in Thin Cylinder given Internal Pressure calculation can be explained with given input values -> 4E-5 = 10200000*0.465/(4*0.03).

FAQ

What is Longitudinal Stress in Thin Cylinder given Internal Pressure?

Longitudinal Stress in Thin Cylinder given 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/(4*t_w) or Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall). 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 & Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.

How to calculate Longitudinal Stress in Thin Cylinder given Internal Pressure?

Longitudinal Stress in Thin Cylinder given 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/(4*Thickness of pressurized cylinder wall). To calculate Longitudinal Stress in Thin Cylinder given Internal Pressure, you need Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i) & Thickness of pressurized cylinder wall (t_w). With our tool, you need to enter the respective value for Internal pressure on cylinder, Inner diameter of pressurized cylinder & Thickness of pressurized cylinder wall 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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