Question

§Problem 1: Two meters of fill (=2.04 Mg/m3) are compacted over a large area (thus 100% of its influence is felt throughout the depth). Above the compacted fill, a 3*4m spread footing loaded with 5000 kN is placed. Assume that the average density of the soil is 1.68 Mg/m3, and the water table is very deep. Then it is required to (a) compute and plot the profile of effective vertical stresses at the middles of five 2m intervals or layers of depth, prior to fill placement. (b) compute and plot the stresses at the same intervals due to adding the fill. (c) compute and plot the stresses with depth due to the addition of 3*4 m footing, using the equations below, for the increase in stresses below the corner of a rectangular area of width B and Length L. (assume that, the weight of footing plus backfill equals weight of soil removed).

§Problem 2 For the previous problem. It was assumed that the settlement of the footing would occur from settlement in the 2m fill below the footing and the 10m layers of medium sand. Consider that, the values of E and ν are 20 MPa and 0.3, respectively, (for both materials). Assuming a linear, isotropic, elastic material behaviour, calculate and plot The Total Elastic Settlement Profile.

Answer 1