Columns, $C_1$ and $C_2$ are each $400mm$ square and $2\mathrm{.}5m$ apart with service loads of $470kN$ and $650kN$ respectively. The foundation is $1\mathrm{.}5m$ below the ground level, where the bearing stress $($bearing capacity$)$ is $160k\frac{N}{m^2}.$

i$.$ Sketch the sectional elevation and the ideal diagram for the pad

ii$.$ Calculate the total column loads, total service load and the minimum pad area, if the self$-$weight of pad is $11\mathrm{.}60715\%$ of the total column loads

iii. If the provided pad area is $15\mathrm{.}24\%$ more than the minimum pad area, and width of pad, B is $2m,$ estimate the length, $L$ of the pad.

iv$.$ Determine the center of gravity of the pad from $C_{bo}$ and $C_2$ and sketch the column pad on plan and in elevation