Flow occurs over the spillway of constant section as shown in Figure 1. Given that y1 = 4.2+(Reg.No/100) m and y2 = 0.7+(Reg.No/100) m. Determine the resultant horizontal force on the spillway per meter of spillway width (perpendicular to the spillway section). Assume ideal flow.

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Spillway design

A spillway is the overflow portion of the dam that carries the surplus discharge flow from the reservoir to the downstream, that is, it carries the flood water safely downstream, which is enough to be stored in that reservoir. Therefore, it acts as a safety valve for the dam because many failures of the dam arise due to the incorrect design of the spillway.