$3\mathrm{.}13$ Exercise Problems

Problem $3\mathrm{.}1$: Determine the base width of a $20-$m high trapezoidal concrete gravity dam having a vertical upstream face and a top width of $5m($see Figure $3\mathrm{.}53).$ Design water depth is $18m.$ There is no tail water. Ignore earthquake, silt, and ice loads. Take e $=\frac{B}{6}(V$ is at the toe side with respect to the centerline of the base$){}_c=30$MPa,${}_f=80$MPa,${}_s=6$MPa, and $=1\mathrm{.}0.$ Specific weights of water and concrete are $10k\frac{N}{m^3}$ and $24k\frac{N}{m^3},$ respectively.

Answer : $B=11\mathrm{.}82m.$

Figure $3\mathrm{.}53$ Cross$-$section of dam for Problem $3\mathrm{.}1$