$1($CLO $\backslash$# $2)[17$ Marks$]$: A continuous reinforced concrete footing is proposed to be constructed to support a $\backslash (40-\backslash$mathrm$\{$cm$\}\backslash )$ continuous reinforced concrete wall with service load $\backslash$& moment, elevation of the footing and soil properties as shown in the soil profile. Considering the compressive strength of concrete, $\backslash ($ f$\_\{$c$\}^\{\backslash$prime$\}\backslash )\backslash (=30\backslash$mathrm$\{$MPa$\}\backslash ),$ yield strength of rebar $\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$mathrm$\{$y$\}\}=420\backslash$mathrm$\{$MPa$\}\backslash ),$ taking load factor $1\mathrm{.}4$ and factor of safety $3$ when you deem necessary, implementing all restrictions and limitations$,$ Compute the following :$-$

a$)[6$ Marks$]$: Minimum width $($B$)$ of the footing, using Terzagh's theory,

b$)[3$ marks$]$ Minimum thickness $($T$)$ of the footing $($if the clear cover $\backslash (=\backslash$mathbf$\{10\}\backslash$mathbf$\{$c m$\}\backslash )).$

c$)[3$ marks$]$: Maximum moment $\backslash (\backslash$mathbf$\{($ M u$\}\backslash ))$ the footing must be designed to resist

d$)[5$ marks$]$: Main and secondary reinforcement for this footing using bars with $\backslash (\backslash$phi$=16\backslash )$ and $14$ mm $,$ respectively