Q$2.$ Design $($Find the appropriate dimensions$)$ for the foundation shown in Figure $4.($Use

effective area and ultimate limit state design methods$)$

given:

$2B=L,{}_{\text{s}\text{a}\text{t}}=18K\frac{N}{m^3},{}_{\text{d}\text{r}\text{y}}=16\mathrm{.}24K\frac{N}{m^3}$

Load factors ${}_{LL}=1\mathrm{.}5,{}_{DL}=1\mathrm{.}25,$ Resistance factor $=0\mathrm{.}5$

$H_{DL(B)}=200kN,V_{LL}=100kN$

$H_{DL(L)}=300kN,V_{DL}=600kN$