NOTES: POINT $1$ IS THE TOP LEFT MOST AND POINT $2$ IS THE TOO RIGHT MOST POINT Problem $1$:

A thin walled cantilever with walls of constant thickness $t$ has the cross$-$section as shown below in figure $1($b$).$ It is loaded by a vertical force W at the tip and a horizontal force $2$ W at the midsection, both forces acting through the shear center. Determine and sketch the distribution of direct stress, according to basic theory of bending, along the length of the beam for points $1$ and $2$ of the cross$-$section. The wall thickness can be taken as very small in comparison with d in calculating the sectional properties $I_{},I_{xy}$ and so forth.

$1($a$)$