Problem $6.(20$ points$)$

Calculate the shear flow distribution in the idealized wing section with one$-$cell shown in Fig. $5$ produced by a vertical shear load of $S_y$ acting through the vertical wall $26.$ Assume that the walls of the section are only effective in resisting shear stresses while the booms, booms $2$ and $6$ are of area $A,$ booms $3$ and $5$ are of area $3A,$ carry all the direct stresses.

Fig. $5$ An idealized wing section with one$-$cell of Problem $6.$