Problem 3.60
[Difficulty: 2]
Given:
Plug is used to seal a conduit.
γ
62.4
lbf
ft
3
⋅
=
Find:
Magnitude, direction and location of the force of water on the plug.
Solution:
We will apply the hydrostatics equations to this system.
Governing Equations:
dp
dh
γ
=
(Hydrostatic Pressure  y is positive downwards)
F
R
p
c
A
⋅
=
(Hydrostatic Force)
y'
y
c
I
xx
Ay
c
⋅
+
=
(Location of line of action)
Assumptions:
(1) Static fluid
(2) Incompressible fluid
(3) Atmospheric pressure acts on the outside of the plug.
Integrating the hydrostatic pressure equation:
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 Fall '07
 Lear
 Statics, Fluid Mechanics

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