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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce0a58ad-57fb-4927-ac11-40e4d0cfe182%2F27d01433-4034-4935-82e3-5305835e6412%2F9m1zmv_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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