The profile of the inner face of a dam takes the form of a parabola represented by
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Question:
The profile of the inner face of a dam takes the form of a parabola represented by the equation 18z = x2, where z is the height above the base in metres and x is the horizontal distance of the face from the vertical reference line in metres. The water level is 27 m above the base.
Determine the thrust on the dam (per metre width) due to the water pressure, its inclination to the vertical and the point where the line of action of this force intersects the free water surface.
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