An embankment for a highway, 5 m high is to be placed above an existing 8 m thick deposit of clay with m, = 0.50 m²/MN and 10 m²/year. Determine the amount of settlement after 5 C = months.

An embankment for a highway 30 m wide and 1.5 m in compacted thickness is to be constructed from sandy soil trucked from a borrow pit. The water content of the sandy soil in a borrow pit is 15% and its void ratio is 0.69. The swell index is 1.2. The specification requires the embankment to be compacted to a dry unit weight of 18kN/m^3. Determine, for a 1-km length of embankment, the following;(d) Volume of the borrow pit material required considering swell.  (e) The number of truckloads of sandy soil required for the construction. The full capacity of each truck is 22.2m3, and local government regulations require a maximum capacity of 90%. (f) The weight of dry soil in one truckload.

As indicated in the following figure, an incompressible silty sand fill 16.4 ft thick wasplaced on top of a 49.2 ft thick layer of soft and compressible silty clay. Underlying theclay is a layer of incompressible sandy gravel. The soil properties of the silty clay layer aregiven in the following figure. The ultimate settlement, Sult = 5.64 ft, from the primaryconsolidation of silty clay layer due to the weight of the silty sand fill is calculated. A) Find the time rate of settlement by showing the Time [year] vs. Settlement [ft] curve.Show sample calculation when percentage of consolidation, Uavg = 50%  B) Compute and plot effective stress profile (σ’z vs. depth) at the Silty Clay layer in thefollowing timing:a. Before placing the fill layerb. right after placing the fill layerc. Ten years after placing the fill layerd. 40 years placing the fill layerShow sample (hand) calculation at a depth of 41 ft and the timing of 10 years after placingthe fill layer. can you show your work on…

Coulomb's failure envelope for a soil is given by t₁ = C' + o' tan o'. For the same soil, the modified failure envelope in a q' - p' plot can be expressed as q' = m + p'tana. Express a as a function of o' and m as a function of C' and o'.