Question

2: Two meters of fill (=2.04 Mg/m³) are compacted over a large area of soil (thus 100% of its influence is felt throughout the depth). Above the compacted fill, a 3*3m spread footing loaded with 3000 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 ten 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*3 m footing, using the approximate method (2:1 method), for the increase in stresses below the loaded area (assume that, the weight of footing plus backfill equals weight of soil removed). (d) Consider the values of E and ν are 20 MPa and 0.3, respectively, for both materials, and Δσ_xx = Δσ_yy = 0.4 Δσ_zz . Assuming a linear, isotropic, elastic material behaviour, and using the compliance matrix below, calculate and plot the total Elastic Settlement Profile.

Answer 1