Symbols Uses
D = Width of AquaDam®
H = Head of water
W= Weight of water in an inner tube.
P = pressure
f = frictional force
N = normal force
p = density of fluid
g = gravitational constant
Sliding
    
    The second method of failure is for the AquaDam® to slide sideways. The resistance to sliding is provided by the friction between the ground and the AquaDam® at its base. The applied force to cause sliding is the applied pressure of the contained water.

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Assumptions

    We assume that the supporting surface is smooth and flat. Any deviation from a smooth surface will add greater opposition to sliding, and so our estimates will tend to be conservative.

The Sliding Model
     Again, we assume that the inner tubes are generally rectangular to facilitate the calculations and we regard the extreme case where the depth of the detained water is equal to the height to the dam.


Frictional Force – Pressure Force = 0

Or

symbol1.gif (189 bytes)Fx=m.pgH2=0

Deriving the term for the coefficient of friction as simply:

M=½H/D

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