Question No$.(1)(5$ marks$)$

Design a rectangular reinforced concrete beam with a simple span $($L$)$ of $10$ m and

a service dead load $W_d$ of $30k\frac{N}{m}($not including the weight of the beam$)$ and a

service live load $W_{L}20k\frac{N}{m}$ of$.$ Use $fc=40$MPa&$Fy=414$MPa. Check if the

design moment can carry the external applied moment?