Shallow Foundations $-$ Practical case

CASE STUDY

A rectangular foundation $2\mathrm{.}0m$ wide by $3\mathrm{.}0m$ long is installed $1\mathrm{.}5m$ below the natural ground in a deposit of firm unsaturated clays. The water table is located at more than $12\mathrm{.}0m$ below the natural ground. The height $($thickness$)$ of the footing is $0\mathrm{.}7m.$

The foundation is loaded with a $0\mathrm{.}6m$ side pillar. At the base of the pillar the vertical resultant is $1000kN,$ while the horizontal resultant parallel to the width $($B$)$ is $100kN$ and is applied $2\mathrm{.}0m$ above the natural ground. The horizontal component according to the side $(L)$ is nil.

The backfill above the footing, until it reaches the natural soil, has an apparent specific weight of $19\mathrm{.}0k\frac{N}{m^3}.$ The one of the concrete is $25k\frac{N}{m^3}.$

The support level is flat and there is no nearby slope.

Determine the ultimate gross and net drained bearing capacities using the formulation of Vesi$.$

Determine the resulting safety factor between the transmitted loads and the obtained bearing capacities. The specifications require a minimum safety factor of $3.$ Discuss the results.

Investigate the effect of the factors of embedment.

Rectangular area. Vertical load and the moment on only one direction

The soil parameters are as follows:

Drained conditions

$C^{\text{'}}=3$kPa

${}^{\text{'}}=27$

$=19\mathrm{.}5$kPa

$C^{\text{'}}=3$kPa,${}^{\text{'}}=27$