$($Solve problems using methods explained in your class$)$

Prob.# $1.$ Calculate the elastic settlement for the rectangular foundation shown in Fig. $1.$ Length $=4\mathrm{.}0m.$ Assume flexible foundation and determine the settlement below center of the foundation.

Prob.#$2.$ Refer to data given in Fig. $2.$ What will be the elastic settlement of the foundation. The foundation is rigid.

Prob#$3.$ Using Schmertmann's method, calculate the elastic settlement of the square foundation shown in Fig. $2$ over a period of $5$ years.

Prob.#$4.$ A shallow foundation $2m1m$ in plan rests on a saturated clay layer. A rigid rock layer is located $8m$ below the bottom of the foundation' The depth of the foundation is $1m$ below the ground surface. The unit weight of the soil is $18\mathrm{.}81k\frac{N}{m^3}.$ The undrained cohesion of soil is $150k\frac{N}{m^2},$OCR$=2\frac{,}{P}$I $=60$ and poison's ratio $=0\mathrm{.}5.$ A vertical load of $300kN$ is applied to the foundation. Determine the elastic settlement of the foundation.