A strip footing with a width equal to B$=1\mathrm{.}5$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 y$=17\mathrm{.}5$kN$/$m and its shear strength parameters are: cohesion c$=10$kPa and angle of internal friction $=25\backslash$deg $.$

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.$Q=350kN($per running meter$)$