Problem #$3$:

Calculate the deflection for the beam shown in the figure if $W_D=22K\frac{N}{m}{W}_L=16K\frac{N}{m}fc=25$Mpa, fy $=420$Mpa, if the $E_s=200000$Mpa For the beam shown in the figure, if the $E_s=200000$ MPa.

$1-$ Check if the section is crack.

If the section crack then;

$2-$ Calculate short$-$term dead load deflection $(D).$

$3-$ Calculate the initial deflection for full live $({}_L).$

$4-$ Calculate the initial deflection due to dead load $+40\%$ live load $({}_{SL}).$

$5-$ Calculate the initial deflection due to $40\%$ live load $({}_{SL}).$