Q$1.$ It is decided to construct an office block located in Chamoli as shown in figure. The roof of the office is made up of $150$ mm thick slab. The slab supports a $LL$ of $6k\frac{N}{m^2}.$ in addition to the slab load'; the beam supports $230$ mm thick wall of height $3\mathrm{.}5$ m $.$ Assume the beams of width $300$ mm $,$ and columns of $300mm300mm.$

Design the beams section given that its size is limited to $300mm400mm.$ Also Check for shear. Assume Fe $415$ steel.