and = 3. The following pressure vessel is simply supported 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. 0 175 3L B 5 L = 6m 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 for this problem: 4 1 = 1 / [(r + t ) ² − r ² ] - τ v = 4V 3A 2 2 r +rr +r. 2 21 1 2 2 r.tr 2 1 inner radius

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.16P: A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm....
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and
=
3. The following pressure vessel is simply supported
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
175
3L
B
5
L = 6m
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 for this problem:
4
1 = 1 / [(r + t ) ² − r ² ]
-
τ
v
=
4V
3A
2
2
r +rr +r.
2 21 1
2 2
r.tr
2
1
inner radius
Transcribed Image Text:and = 3. The following pressure vessel is simply supported 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. 0 175 3L B 5 L = 6m 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 for this problem: 4 1 = 1 / [(r + t ) ² − r ² ] - τ v = 4V 3A 2 2 r +rr +r. 2 21 1 2 2 r.tr 2 1 inner radius
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