Q$2$

The cross section through a dam wall is shown below and is subjected to the forces and moments as indicated. The self$-$weight of the wall should be ignored. Study the diagram carefully and answer the questions below.

Right triangle $($Origin of axes at centroid$)$

$A=\frac{bh}{2},\stackrel{}{x}=\frac{b}{3}\frac{,}{b}ar(y)=\frac{h}{3}$

$I_x=\frac{b{h}^3}{36},I_y=\frac{h{b}^3}{36},I_{xy}=-\frac{b^2{h}^2}{72}$

$I_P=\frac{bh}{36}(h^2+b^2),I_{BB}=\frac{b{h}^3}{12}$

STRUCTURAL ANALYSIS II $($CSA $23$II$)$

COMBINED STRESS CLASS ACTIVITY

Determine the position of the centroid $(x_{\text{l}\text{e}\text{f}\text{t}}$ and $Y_{\text{u}\text{p}\text{p}\text{e}\text{r}})$ and moment of inetria $(I_{}$ and $I_{yy})$ for the cross section.

a$)$ Determine and draw stress distribution $($direct$,$ bending and combined stresses$)$ at $1$ & $2.$

b$)$ Determine the additional load that can be placed at $C$ so that the stress at $2$ is $0\mathrm{.}5\frac{N}{m}{m}^2$ in compression.