GATE ME 2020 Set 1 — Question 50
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Fluid Mechanics → Beams & Columns → Forces on Submerged Bodies
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Question
The barrier shown between two water tanks of unit width () into the plane of the screen is modeled as a cantilever.
Taking the density of water as , and the acceleration due to gravity as , the maximum absolute bending moment developed in the cantilever is ___________ (round off to the nearest integer).

Correct answer
104 to 106
Solution
The hydrostatic force on one side of a vertical wall is given by . The bending moment at the base due to this force is .Given:
(unit width)For the left side ():
For the right side ():
The net maximum absolute bending moment at the base of the cantilever is:
.
(unit width)For the left side ():
For the right side ():
The net maximum absolute bending moment at the base of the cantilever is:
.
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