Thickness of Thin Spherical Shell given Permissible tensile stress 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%
✖Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder.ⓘ Permissible Tensile stress in pressurized cylinder [σ_t]			+10% -10%

✖Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.ⓘ Thickness of Thin Spherical Shell given Permissible tensile stress [t_w]

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Formula

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Thickness of Thin Spherical Shell given Permissible tensile stress

Formula

`"t"_{"w"} = "P"_{"i"}*"d"_{"i"}/(4*"σ"_{"t"})`

Example

`"15.81mm"="10.2MPa"*"465mm"/(4*"75N/mm²")`

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Thickness of Thin Spherical Shell given Permissible tensile stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder)
t_w = P_i*d_i/(4*σ_t)
This formula uses 4 Variables

Variables Used

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.
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.
Permissible Tensile stress in pressurized cylinder - (Measured in Pascal) - Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls 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)
Permissible Tensile stress in pressurized cylinder: 75 Newton per Square Millimeter --> 75000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_w = P_i*d_i/(4*σ_t) --> 10200000*0.465/(4*75000000)

Evaluating ... ...

t_w = 0.01581

STEP 3: Convert Result to Output's Unit

0.01581 Meter -->15.81 Millimeter (Check conversion here)

FINAL ANSWER

15.81 Millimeter <-- Thickness of pressurized cylinder wall

(Calculation completed in 00.020 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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< 14 Thin Cylinder Vessel Calculators

Thickness of Thin Spherical Shell given Permissible tensile stress

Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder)

Permissible Tensile Stress in Thin Spherical Shell

Go Permissible Tensile stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)

Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress

Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Inner diameter of pressurized cylinder

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress

Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder

Cylinder Wall Thickness of Thin Cylinder given Longitudinal Stress

Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Longitudinal stress in pressurized cylinder)

Longitudinal Stress in Thin Cylinder given Internal Pressure

Go Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)

Cylinder Wall Thickness of Thin Cylinder given Tangential Stress

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

Internal Pressure in Thin Cylinder given Longitudinal Stress

Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder

Tangential Stress in Thin Cylinder given Internal Pressure

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

Inner Diameter of Thin Cylinder given Longitudinal Stress

Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Internal pressure on cylinder

Internal Pressure in Thin Cylinder given Tangential Stress

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

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

Inner Diameter of Thin Spherical Shell given Volume

Go Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)

Volume of Thin Spherical Shell given Inner Diameter

Go Volume of thin spherical shell = pi*(Inner diameter of pressurized cylinder^3)/6

Thickness of Thin Spherical Shell given Permissible tensile stress Formula

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

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 Thickness of Thin Spherical Shell given Permissible tensile stress?

Thickness of Thin Spherical Shell given Permissible tensile stress calculator uses Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder) to calculate the Thickness of pressurized cylinder wall, Thickness of Thin Spherical Shell given Permissible tensile stress formula is defined as the thickness of the surface of a thin spherical shell. Thickness of pressurized cylinder wall is denoted by t_w symbol.

How to calculate Thickness of Thin Spherical Shell given Permissible tensile stress using this online calculator? To use this online calculator for Thickness of Thin Spherical Shell given Permissible tensile stress, enter Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i) & Permissible Tensile stress in pressurized cylinder (σ_t) and hit the calculate button. Here is how the Thickness of Thin Spherical Shell given Permissible tensile stress calculation can be explained with given input values -> 15810 = 10200000*0.465/(4*75000000).

FAQ

What is Thickness of Thin Spherical Shell given Permissible tensile stress?

Thickness of Thin Spherical Shell given Permissible tensile stress formula is defined as the thickness of the surface of a thin spherical shell and is represented as t_w = P_i*d_i/(4*σ_t) or Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder). 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 & Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder.

How to calculate Thickness of Thin Spherical Shell given Permissible tensile stress?

Thickness of Thin Spherical Shell given Permissible tensile stress formula is defined as the thickness of the surface of a thin spherical shell is calculated using Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder). To calculate Thickness of Thin Spherical Shell given Permissible tensile stress, you need Internal pressure on cylinder (P_i), Inner diameter of pressurized cylinder (d_i) & Permissible Tensile stress in pressurized cylinder (σ_t). With our tool, you need to enter the respective value for Internal pressure on cylinder, Inner diameter of pressurized cylinder & Permissible Tensile stress in 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 Thickness of pressurized cylinder wall?

In this formula, Thickness of pressurized cylinder wall uses Internal pressure on cylinder, Inner diameter of pressurized cylinder & Permissible Tensile stress in pressurized cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Tangential stress in pressurized cylinder)
Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Longitudinal stress in pressurized cylinder)

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