A rectangular footing with dimensions $2\mathrm{.}0$m by $1\mathrm{.}5$m and a height H$=0\mathrm{.}5$m is found on a silty soil

at a depth of D$=1\mathrm{.}2$m$.$ The soil has a unit weigh $=17\mathrm{.}5$ and its shear strength parameters

are, cohesion c$=10$kPa and angle of internal friction $=25$

$Q=750kN$

a$)$ Using the Meyerhof methodology calculate:

i$.$ the ultimate bearing capacity of the footing;

ii$.$ the safety factor against bearing capacity failure.

b$)$ Using the EC$7$ methodology calculate:

i$.$ the ultimate bearing capacity of the footing;

ii$.$ the safety factor against bearing capacity failure.