Internal Diameter of Pressurized Cylinder Calculator

✖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%
✖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%

✖Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.ⓘ Internal Diameter of Pressurized Cylinder [d_i]

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Internal Diameter of Pressurized Cylinder

Formula

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

Example

`"409.1269mm"=2*"30mm"/(((("75N/mm²"+"10.2MPa")/("75N/mm²"-"10.2MPa"))^(1/2))-1)`

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Internal Diameter of Pressurized Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d_i = 2*t_w/((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1)
This formula uses 4 Variables

Variables Used

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.
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

Thickness of pressurized cylinder wall: 30 Millimeter --> 0.03 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

d_i = 2*t_w/((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1) --> 2*0.03/((((75000000+10200000)/(75000000-10200000))^(1/2))-1)

Evaluating ... ...

d_i = 0.409126949370532

STEP 3: Convert Result to Output's Unit

0.409126949370532 Meter -->409.126949370532 Millimeter (Check conversion here)

FINAL ANSWER

409.126949370532 ≈ 409.1269 Millimeter <-- Inner diameter of 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

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

Internal Diameter 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 Internal Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder calculator uses 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) to calculate the Inner diameter of pressurized cylinder, Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel. Inner diameter of pressurized cylinder is denoted by d_i symbol.

How to calculate Internal Diameter of Pressurized Cylinder using this online calculator? To use this online calculator for Internal Diameter of Pressurized Cylinder, enter Thickness of pressurized cylinder wall (t_w), Permissible Tensile stress in pressurized cylinder (σ_t) & Internal pressure on cylinder (P_i) and hit the calculate button. Here is how the Internal Diameter of Pressurized Cylinder calculation can be explained with given input values -> 409126.9 = 2*0.03/((((75000000+10200000)/(75000000-10200000))^(1/2))-1).

FAQ

What is Internal Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as d_i = 2*t_w/((((σ_t+P_i)/(σ_t-P_i))^(1/2))-1) or 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). Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall, 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 Internal Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel is calculated using 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). To calculate Internal Diameter of Pressurized Cylinder, you need Thickness of pressurized cylinder wall (t_w), 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 Thickness of pressurized cylinder wall, 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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