A rectangular column footing is to be designed to carry the following column loads:

$P_{DL}=850kN,P_{LL}=690kN$

$M_{DL}=160kN-m,M_{LL}=190kN-m$

The column is $500mm500m$ and is reinforced with $8\mathrm{.}25mm$ bars. The base of the footing is $1\mathrm{.}6m$

below the natural grade and the and the effective soil bearing capacity may be conservatively taken as

$190$kPa. Assume $L=1\mathrm{.}4B$ and $f^{\text{'}}C=27\mathrm{.}6$MPa and $fy=414$MPa. Use $75mm$ as steel covering.

Determine the ultimate soil pressure at the base $($if soil pressure is uniform$).(10$ pts$)$

a$.,145\mathrm{.}57$kPa

b$.227\mathrm{.}38$kPa

c$.183\mathrm{.}25$kPa

d$.257\mathrm{.}45$kPa

Determine the mimimum and maximum ultimate soil pressure at the base of the footing $($soil

pressure at the base is not uniform$).(10$ pts$)$

a$.-71\mathrm{.}07$kPa&$-203\mathrm{.}93$kPa

c$.-87\mathrm{.}27$kPa&$-193\mathrm{.}73$kPa

b$.-91\mathrm{.}07$kPa&$-223\mathrm{.}93$kPa

d$.-87\mathrm{.}07$kPa&$-258\mathrm{.}25$kPa