Thickness of Pressurized Cylinder Calculator

✖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%
✖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%

✖Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.ⓘ Thickness of Pressurized Cylinder [t_w]

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Thickness of Pressurized Cylinder

Formula

`"t"_{"w"} = ("d"_{"i"}/2)*(((("σ"_{"t"}+"P"_{"i"})/("σ"_{"t"}-"P"_{"i"}))^(1/2))-1)`

Example

`"34.097mm"=("465mm"/2)*(((("75N/mm²"+"10.2MPa")/("75N/mm²"-"10.2MPa"))^(1/2))-1)`

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Thickness of Pressurized Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1)
t_w = (d_i/2)*((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1)
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Internal pressure on cylinder: 10.2 Megapascal --> 10200000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_w = (d_i/2)*((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1) --> (0.465/2)*((((75000000+10200000)/(75000000-10200000))^(1/2))-1)

Evaluating ... ...

t_w = 0.034096996107108

STEP 3: Convert Result to Output's Unit

0.034096996107108 Meter -->34.096996107108 Millimeter (Check conversion here)

FINAL ANSWER

34.096996107108 ≈ 34.097 Millimeter <-- Thickness of pressurized cylinder wall

(Calculation completed in 00.021 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

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

< 10+ Bolt of Pressurized Cylinder Calculators

Thickness of Pressurized Cylinder

Go Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1)

Internal Diameter of Pressurized Cylinder

Go Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall/((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1)

Maximum Load inside Pressurized Cylinder when Joint is on verge of opening

Go Maximum force inside pressurized cylinder = Initial Preload Due to Bolt Tightening*((Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)/Stiffness of pressurized cylinder bolt)

Initial Preload due to Bolt tightening given kb and kc

Go Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt))

Change in External Load due to Pressure Inside Cylinder given kb and kc

Go Increase in Bolt Load of Cylinder = External load on pressurized cylinder bolt*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt))

External Load on Bolt due to Internal Pressure given kb and kc

Go External load on pressurized cylinder bolt = Increase in Bolt Load of Cylinder*((Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)/Stiffness of pressurized cylinder bolt)

Change in External Load on Bolt due to Pressure Inside Cylinder

Go Increase in Bolt Load of Cylinder = Resultant load on pressurized cylinder bolt-Initial Preload Due to Bolt Tightening

Initial Preload due to Bolt tightening

Go Initial Preload Due to Bolt Tightening = Resultant load on pressurized cylinder bolt-Increase in Bolt Load of Cylinder

Resultant Load on Bolt given Pre load

Go Resultant load on pressurized cylinder bolt = Initial Preload Due to Bolt Tightening+Increase in Bolt Load of Cylinder

Decrease in Outer Diameter of Cylinder given Total deformation in Pressure Vessel

Go Decrease in Outer Diameter of Cylinder = Total Deformation of Pressure Vessel-Increase in Inner Diameter of Jacket

Thickness of Pressurized Cylinder 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 Thickness of Pressurized Cylinder?

Thickness of Pressurized Cylinder calculator uses Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1) to calculate the Thickness of pressurized cylinder wall, Thickness of Pressurized Cylinder formula is defined as the wall thickness of a pressurized cylindrical vessel. Thickness of pressurized cylinder wall is denoted by t_w symbol.

How to calculate Thickness of Pressurized Cylinder using this online calculator? To use this online calculator for Thickness of Pressurized Cylinder, enter Inner diameter of pressurized cylinder (d_i), Permissible Tensile stress in pressurized cylinder (σ_t) & Internal pressure on cylinder (P_i) and hit the calculate button. Here is how the Thickness of Pressurized Cylinder calculation can be explained with given input values -> 34097 = (0.465/2)*((((75000000+10200000)/(75000000-10200000))^(1/2))-1).

FAQ

What is Thickness of Pressurized Cylinder?

Thickness of Pressurized Cylinder formula is defined as the wall thickness of a pressurized cylindrical vessel and is represented as t_w = (d_i/2)*((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1) or Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1). 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 & Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.

How to calculate Thickness of Pressurized Cylinder?

Thickness of Pressurized Cylinder formula is defined as the wall thickness of a pressurized cylindrical vessel is calculated using Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1). To calculate Thickness of Pressurized Cylinder, you need Inner diameter of pressurized cylinder (d_i), Permissible Tensile stress in pressurized cylinder (σ_t) & Internal pressure on cylinder (P_i). With our tool, you need to enter the respective value for Inner diameter of pressurized cylinder, Permissible Tensile stress in pressurized cylinder & Internal pressure on 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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