Design a simply supported beam of a rectangular section with a clear span of

$5\mathrm{.}5$ m and subjected to uniformly distributed live load of $20k\frac{N}{m}$ and dead

load of $15k\frac{N}{m},$ respectively, at the service state. The support width is $500$

mm $.$ Consider M$25$ grade of concrete and Fe$500$ grade of steel. Show L$-$

section and X$-$section of the beam. Check for shear, deflection and

development length is required. Use limt state design.