The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of 6 m submerged vertically in the water. Find the force exerted by the water on the dam when the upper base is parallel to and 3 m below the surface of the water. (p = wight per unit volume water)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of 6 m submerged vertically in
the water. Find the force exerted by the water on the dam when the upper base is parallel to and 3 m below the surface of the
water.
(p = wight per unit volume water)
4
3
A
F =
( 14 y - y2) dy
(149
B
F = P
3y
- y) () dy
(7y-y2) dy
4
3y
(14 - 29 ) (2) dy
4
D
3
L (7
0
3
3
=
F = P
0
0
0
Transcribed Image Text:The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of 6 m submerged vertically in the water. Find the force exerted by the water on the dam when the upper base is parallel to and 3 m below the surface of the water. (p = wight per unit volume water) 4 3 A F = ( 14 y - y2) dy (149 B F = P 3y - y) () dy (7y-y2) dy 4 3y (14 - 29 ) (2) dy 4 D 3 L (7 0 3 3 = F = P 0 0 0
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