A water tank, 22 ft in diameter, is made from steel plates that are ½ in. thick. The circumferential stress is limited to 6000 psi. The specific weight of water is 62.4 lb/ft³. Now, given a free surface of water, the actual pressure distribution on the vessel is not uniform. It varies linearly from 0 at the free surface to yh at the bottom (see figure shown). Using this actual pressure distribution, find the allowable height if the total hydrostatic pressure is reduced by 50%.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem#2:
A water tank, 22 ft in diameter, is made from
steel plates that are ½ in. thick. The
circumferential stress is limited to 6000 psi. The
specific weight of water is 62.4 lb/ft³.
Now, given a free surface of water, the actual
pressure distribution on the vessel is not
uniform. It varies linearly from 0 at the free
surface to yh at the bottom (see figure shown).
Using this actual pressure distribution, find the
allowable height if the total hydrostatic pressure
is reduced by 50%.
t=1/2 in D=22t
h
Yh
t=1/2 in
T
Pressure
Diagram
total hydrostatic force
Transcribed Image Text:Problem#2: A water tank, 22 ft in diameter, is made from steel plates that are ½ in. thick. The circumferential stress is limited to 6000 psi. The specific weight of water is 62.4 lb/ft³. Now, given a free surface of water, the actual pressure distribution on the vessel is not uniform. It varies linearly from 0 at the free surface to yh at the bottom (see figure shown). Using this actual pressure distribution, find the allowable height if the total hydrostatic pressure is reduced by 50%. t=1/2 in D=22t h Yh t=1/2 in T Pressure Diagram total hydrostatic force
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