Water Resources Engineering

Due: please solve correctly

Using simplified arch$-$rip analysis, design an arch dam $200m$ high for a trapezoidal canyon having widths of $50m$ and $300m$ at the bottom and at the top of the crosssection, respectively. Upstream face is vertical. The thickness at the crest is required to be $4m.$ Take ${}_{\text{a}\text{l}\text{l}}=4$MPa,$=10k\frac{N}{m^3},{}_c=24k\frac{N}{m^3},$ and ${}_a=130.$ Determine:

a$)$ The base thickness;

b$)$ The maximum thickness and its location with respect to the dam crest elevation,

c$)$ The height of the rectangular section at the top