SOLVE:

A slide is going to be built supported on two foundations A and B as shown in the drawing. $($See attached drawing$).$

The following points are requested to be resolved:

FIRST POINT:

For foundation A$,$ its thickness in height corresponds to $1$ m$,$ use a safety factor of $4,$ it has the dimensions width equal to $2\mathrm{.}5$ meters, length equal to $3$ m$,$ the water table is $2\mathrm{.}8$ meters from the profile of the foundation. floor. The support soil corresponds to a frictional cohesive soil, with a friction of $25$ degrees, and a cohesion of $49$ KN$/$m$2,$ the saturated specific weight of the support soil corresponds to $24\mathrm{.}5$ KN$/$m$3$; The overloaded moist soil corresponds to a specific weight of $18\mathrm{.}6$ KN$/$m$3.$

You are requested to calculate:

The effective contact area and its dimensions, for an eccentricity of $0\mathrm{.}15$ meters

It is requested to calculate the gross allowable load transmitted inclined at $53$ degrees from the horizontal, using the general load capacity equation for eccentricity in one direction.

Calculate the maximum stress resisted by the soil, and draw what the reaction forces of the soil would be to contain the foundation and maintain its stability.

SECOND POINT: For foundation B$,$ use a safety factor of $3\mathrm{.}5,$ there is an eccentricity in one direction of $0\mathrm{.}20$ meters, a foundation width of $5$ meters and a length of $6\mathrm{.}5$ meters. Determine the gross admissible load, if the supporting soil corresponds to a cohesive frictional soil mixed with dense sand, with a friction of $30$ degrees and the clay fraction has a cohesion of $60$ KN$/$m$2,$ the saturated specific weight of the supporting soil corresponds to $26\mathrm{.}4$ KN$/$m$3$; The overload soil corresponds to a cement soil bag whose thickness is $4$ meters and specific weight is $17\mathrm{.}6$ KN$/$m$3.$ You are requested to calculate:

The effective contact area and its dimensions

Calculate the maximum stress resisted by the soil, and draw what the reaction forces of the soil would be to contain the foundation and maintain its stability.

Calculate the gross allowable load.

Activity in English

THIRD POINT: in the light of Applied Geotechnics, propose the technical solution for foundations A and B$,$ in order to avoid eccentricity, justify your answer and attach the technical arguments.

POINT FOUR: The supporting soil for foundation B$,$ use a safety factor of $4$; A seismic refraction test was carried out, as a result of this procedure, an elastic modulus of $750$ KN$/$m$2$ was obtained, and a poisson ratio of $0\mathrm{.}3.$ Foundation B has a foundation width of $5$ meters and a length of $6\mathrm{.}5$ meters. Determine the admissible load, assuming no eccentricity, if the supporting soil corresponds to an improved frictional cohesive soil, with a friction of $38$ degrees and the clay fraction has a cohesion of $63$ KN$/$m$2,$ the saturated specific weight of the soil. support corresponds to $28\mathrm{.}3$ KN$/$m$3$; The overload soil corresponds to a cement soil bag whose thickness is $4$ meters and specific weight is $21\mathrm{.}6$ KN$/$m$3.$ You are requested to calculate:

The stiffness index.

The shear module

The critical stiffness index

Calculate the ultimate resistance to the compressibility of the soil.