$2\mathrm{.}94$ Figure $P_{2\mathrm{.}94}$ is a representation of the Keswick gravity dam in California. Find the magnitudes and locations of the hydrostatic forces acting on the headwater vertical wall of the dam and on the tailwater inclined wall of the dam. Note that the slope given is the ratio of the run to the rise. Consider a unit length of the dam $(b=1ft).$

FiGUK$$ r:$2\mathrm{.}94$

Answer

$F_{\text{H}\text{E}\text{A}\text{D}}=312,000lb$;$y_{R,\text{H}\text{E}\text{A}\text{D}}=66\mathrm{.}7ft$;$F_{\text{T}\text{A}\text{I}\text{L}}=34,300lb$;$y_{R,\text{T}\text{A}\text{I}\text{L}}^{\text{'}}=24\mathrm{.}4ft$