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Problem 3.69
[Difficulty: 2]
Given:
Geometry of dam
Find:
Vertical force on dam
Assumption:
Water is static and incompressible
Solution:
Basic equation:
dp
dh
ρ
g
⋅
=
For incompressible fluid
pp
atm
ρ
g
⋅
h
⋅
+
=
where h is measured downwards from the free surface
The force on each horizontal section (depth d = 0.5 m and width w = 3 m) is
Fp
A
⋅
=
p
atm
ρ
g
⋅
h
⋅
+
()
d
⋅
w
⋅
=
Hence the total force is
F
T
p
atm
p
atm
ρ
g
⋅
h
⋅
+
+
p
atm
ρ
g
⋅
2
⋅
h
⋅
+
+
p
atm
ρ
3
⋅
g
⋅
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

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