Problem $5(10$ pt$.)$

The second moments of area for the right$-$angle triangular section are:

$I_{}=\frac{a^{3}b}{36}$;$,I_{xpy}=\frac{a{b}^3}{36}$;$,I_{xy}=\frac{a^2{b}^2}{72}$

and the centroid $O$ is located a distance $\frac{a}{3}$

above and $\frac{b}{3}$ to the left of $B.$

A beam of this section is loaded by a bending moment Mo about the $x-$axis $-$

i$.$e$.M_x=M_0,M_y=0.$

Show that the neutral axis is defined by the line joining $C$ to the mid$-$point of $AB.$ Comment on the implications of this result when b$$