A spherical gas container having an inner diameter of 5 m and a wall thickness of 24 mm is made of steel for which E = 200 GPa and v = 0.29. Knowing that the gage pressure in the container is increased from zero to 1.8 MPa, determine (a) the maximum normal stress in the container, (b) the corresponding increase in the diameter of the container. Hint: refer back to earlier notes for relationship between strain, Poisson's ratio, and stress in two directions

A spherical gas container having an inner diameter of 5 m and a wall thickness of 24 mm is made of steel for which E = 200 GPa and v = 0.29. Knowing that the gage pressure in the container is increased from zero to 1.8 MPa, determine (a) the maximum normal stress in the container, (b) the corresponding increase in the diameter of the container. Hint: refer back to earlier notes for relationship between strain, Poisson's ratio, and stress in two directions

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A spherical gas container having an inner diameter of 5 m and a wall thickness of 24 mm is made of steel
for which E = 200 GPa and v = 0.29. Knowing that the gage pressure in the container is increased from zero
to 1.8 MPa, determine (a) the maximum normal stress in the container, (b) the corresponding increase in the
diameter of the container.
Hint: refer back to earlier notes for relationship between strain, Poisson's ratio, and stress in two directions
Sm
The unpressurized cylindrical storage tank shown has a 5-mm wall thickness
and is made of steel having a 400-MPa ultimate strength in tension.
Determine the maximum height h to which it can be filled with water if a
factor of safety of 4.0 is desired. (Density of water = 1000 kg/m³.)
14.5 m
Hint: recall pressure (p) due to a column of water is p = yh

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