It is required to design a shallow foundation system to support a compressor as part of an addition to a

petrochemical plant. The compressor package $($compressor and motor$)$ is attached to a steel skid $4\mathrm{.}2$ m

wide and $12$ m long. The shallow foundation is $0\mathrm{.}75$ m thick and its base is $1\mathrm{.}5$ m below ground surface.

The soil profile at the location of the foundation is described in the borehole shown in Figure $4($note:

depth in Fig. $4$ is in ft$).$ You can use some of the correlations in Table $2$ to estimate the undrained shear

strength of the soil. The total weight of the compressor package including the steel skid is $2000$ kN$.$ The

centre of gravity of the package is shifted $1\mathrm{.}0$ m from the geometrical centre of the package along the

long axis. The analysis is to be done following simplified analysis using the

bearing capacity equations.

Figure $4$ Table $2$ correlations between Su$-$N$($SPT$)$

$\backslash$table$[[$Researchers$,$Explanation,S$\_($u$)($kPa$)],[$Sanglerat $(1972),$Clay,$12\mathrm{.}5$N$],[,$Silty clay,$10$N$],[$Terzaghi & Peck $(1967),$Fine$-$grained soil,$6\mathrm{.}25$N$],[$Hara et al$.(1974),$Fine$-$grained soil,$29$N$^(0\mathrm{.}72)],[$Sowers $(1979),$Highly plastic soil,$12\mathrm{.}5$N$],[,$Medium plastic clay,$7\mathrm{.}5$N$],[,$Low plastic soil,$3\mathrm{.}75$N$],[$Nixon $(1982),$Clay,$12$N$],[$Sivrikaya & To$$rol $(2002),$Highly plastic soil,$4\mathrm{.}85$N$\_($field $)],[,,6\mathrm{.}82$N$\_(60)],[,$Low plastic soil,$3\mathrm{.}35$N$\_($field $)],[,,4\mathrm{.}93$N$\_(60)],[,$Fine$-$grained soil,$4\mathrm{.}32$N$\_($field $)],[,,6\mathrm{.}18$N$\_(60)],[,,(6-7)$N$],[$Stroud $(1974),$PI N$],[,20$ PI N$],[$D$$court $(1990),$PI $>30,12\mathrm{.}5$N$],[,$Clay,$15$N$\_(60)],[$Ajayi & Balogun $(1988),$Fine$-$grained soil,$1\mathrm{.}39$N$+74\mathrm{.}2],[$Hettiarachchi & Brown $(2009),$Fine$-$grained soil,$4\mathrm{.}1$N$\_(60)]]$