Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress 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.ⓘ Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress [d_i]

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Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder
d_i = 4*t_w*σ_t/P_i
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 = 4*t_w*σ_t/P_i --> 4*0.03*75000000/10200000

Evaluating ... ...

d_i = 0.882352941176471

STEP 3: Convert Result to Output's Unit

0.882352941176471 Meter -->882.352941176471 Millimeter (Check conversion here)

FINAL ANSWER

882.352941176471 ≈ 882.3529 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

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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

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress Formula

LaTeX Go

Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder
d_i = 4*t_w*σ_t/P_i

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 Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress calculator uses Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder to calculate the Inner Diameter of Pressurized Cylinder, Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress 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 Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress using this online calculator? To use this online calculator for Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress, 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 Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress calculation can be explained with given input values -> 882352.9 = 4*0.03*75000000/10200000.

FAQ

What is Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as d_i = 4*t_w*σ_t/P_i or Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder. 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 Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress?

Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel is calculated using Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder. To calculate Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress, 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.

How many ways are there to calculate Inner Diameter of Pressurized Cylinder?

In this formula, Inner Diameter of Pressurized Cylinder uses Thickness of Pressurized Cylinder Wall, Permissible Tensile Stress in Pressurized Cylinder & Internal Pressure on Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall*Tangential Stress in Pressurized Cylinder/Internal Pressure on Cylinder
Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Longitudinal Stress in Pressurized Cylinder/Internal Pressure on Cylinder
Inner Diameter of Pressurized Cylinder = (6*Volume of Thin Spherical Shell/pi)^(1/3)

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