Problem 1: A long embankment is located on a soil profile consisting of 4m of medium clay followed by 8m of medium to dense sand on top of bedrock. A vertical settlement of 5mm at the center of the embankment was measured during construction. Assuming all the settlement is elastic and occurs in the medium clay, determine the average stresses imposed on the medium clay under the center of the embankment using the elastic equations. The elastic parameters are E = 15MPa and v = 0.3. (Hint: Assume the lateral strain is zero.)

Problem 2:
An element of soil (sand) behind a retaining wall is subjected to an increase in vertical stress of 60kPa and an increase in lateral stress of 25kPa. Determine the increase in vertical and lateral strains, assuming the soil is a linearly elastic material with E = 20MPa and v = 0.3.