Tangential 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%

✖Tangential stress in pressurized cylinder is the stress experienced by the cylinder walls when the direction of the deforming force is perpendicular to central axis.ⓘ Tangential Stress in Thick Cylinder subjected to Internal Pressure [σ_tang]

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Formula

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Tangential Stress in Thick Cylinder subjected to Internal Pressure

Formula

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

Example

`"59.1268N/mm²"=("10.2MPa"*(("465mm")^2)/((("550mm")^2)-(("465mm")^2)))*(((("550mm")^2)/(4*(("240mm")^2)))+1)`

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Tangential Stress in Thick Cylinder subjected to Internal Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_tang = (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

Tangential stress in pressurized cylinder - (Measured in Pascal) - Tangential stress in pressurized cylinder is the stress experienced by the cylinder walls when the direction of the deforming force is perpendicular to central axis.
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_tang = (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_tang = 59126797.2598522

STEP 3: Convert Result to Output's Unit

59126797.2598522 Pascal -->59.1267972598522 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

59.1267972598522 ≈ 59.1268 Newton per Square Millimeter <-- Tangential stress in pressurized cylinder

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Pressure Vessels » Thick Cylinder Vessel » Tangential 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)

Tangential 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 Tangential Stress in Thick Cylinder subjected to Internal Pressure?

Tangential Stress in Thick Cylinder subjected to Internal Pressure calculator uses 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) to calculate the Tangential stress in pressurized cylinder, Tangential Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress when the direction of the deforming force or external force is parallel to the cross-sectional area, the stress experienced by the object is called shearing stress or tangential stress. Tangential stress in pressurized cylinder is denoted by σ_tang symbol.

How to calculate Tangential Stress in Thick Cylinder subjected to Internal Pressure using this online calculator? To use this online calculator for Tangential 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 Tangential Stress in Thick Cylinder subjected to Internal Pressure calculation can be explained with given input values -> 5.9E-5 = (10200000*(0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))+1).

FAQ

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

Tangential Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress when the direction of the deforming force or external force is parallel to the cross-sectional area, the stress experienced by the object is called shearing stress or tangential stress and is represented as σ_tang = (P_i*(d_i^2)/((d_o^2)-(d_i^2)))*(((d_o^2)/(4*(r^2)))+1) or 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 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 Tangential Stress in Thick Cylinder subjected to Internal Pressure?

Tangential Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress when the direction of the deforming force or external force is parallel to the cross-sectional area, the stress experienced by the object is called shearing stress or tangential stress is calculated using 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). To calculate Tangential 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 Tangential stress in pressurized cylinder?

In this formula, Tangential 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 -

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)

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