Q$2.($CLO$2)(4$ Marks$)$ Design a rectangular concrete beam for a simple span of $10$ m to carry

service loads of $17\mathrm{.}1k\frac{N}{m}$ dead load $($does not include the dead load of the beam$)$ and $31k\frac{N}{m}$

live load. The width of the beam desired $=400mm.$ Use compressive strength of concrete $=21$

MPa and yield strength of steel $=420$MPa. Assume a No$.10$ stirrup and sketch the design. The

unit weight of concrete $=23\mathrm{.}5k\frac{N}{m^3}.$ Use #$36$ bars for tension reinforcement.