The following pressure vessel is simply supported and has a uniformly distributed load q = 150 kN/m, including the weight of the tank and its contents. The 6 m long tank has an inner radius r = 1.2 m and a wall thickness of t = 19 mm. The internal pressure is p = 720 kPA. 0 517 A- 3L 5 L=6m 1 = [(r + t)ª − r¹]; Tv = B a. Draw the shear and moment diagrams. b. Find the principal stresses for element A. (on the outer surface of the vessel, just to the right of the left-hand support, and on the neutral axis). Explain why there are no normal stresses due to bending in element A. c. Find the principal stresses for element B (bottom surface at midspan of the length of the vessel). Explain why there are no shear stresses in element B. Useful equations: AV (² +²+³²) → r₁: inner radius, r₂: outer radius 4V (r²+r₂r₁+r² 3A

The following pressure vessel is simply supported and has a uniformly distributed load q = 150 kN/m, including the weight of the tank and its contents. The 6 m long tank has an inner radius r = 1.2 m and a wall thickness of t = 19 mm. The internal pressure is p = 720 kPA. 0 517 A- 3L 5 L=6m 1 = [(r + t)ª − r¹]; Tv = B a. Draw the shear and moment diagrams. b. Find the principal stresses for element A. (on the outer surface of the vessel, just to the right of the left-hand support, and on the neutral axis). Explain why there are no normal stresses due to bending in element A. c. Find the principal stresses for element B (bottom surface at midspan of the length of the vessel). Explain why there are no shear stresses in element B. Useful equations: AV (² +²+³²) → r₁: inner radius, r₂: outer radius 4V (r²+r₂r₁+r² 3A

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

Please answer all parts

4. The following pressure vessel is simply supported and has a uniformly distributed load q =
150 kN/m, including the weight of the tank and its contents. The 6 m long tank has an inner radius
r = 1.2 m and a wall thickness of t = 19 mm. The internal pressure is p = 720 kPA.
A-
3L
5
L=6m
C.
B
a.
Draw the shear and moment diagrams.
b. Find the principal stresses for element A. (on the outer surface of the vessel, just to the right
of the left-hand support, and on the neutral axis). Explain why there are no normal stresses
due to bending in element A.
Find the principal stresses for element B (bottom surface at midspan of the length of the
vessel). Explain why there are no shear stresses in element B.
Useful equations:
4V
1 = ²/ [(r + t)ª − r4]; tv = 3V (¹² +2+²) → r₁: inner radius, r2: outer radius
3A
r²+r²

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Step 1: Given data

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Step 2: Part (a). Shear force and bending moment

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Step 3: Part (b). Stress Analysis at Element A of a Pressure Vessel

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Step 4: Part (c) Stress Analysis at Element B of the Pressure Vessel

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