The foundations supporting two columns of a building are shown in Figure E9.16. An extensive so investigation was not carried out, and it was assumed in the design of the foundations that the clay lay had a uniform thickness of 1.2 m. Two years after construction the building settled, with a differenti settlement of 10 mm. Walls of the building began to crack. The doors have not jammed, but b measuring the out-of-vertical distance of the doors, it is estimated that they would become jammed the differential settlement exceeded 24 mm. A subsequent soil investigation showed that the thicknes of the clay layer was not uniform but varies, as shown in Figure E9.16. The owners would like to g an estimate of the expected total differential settlement and how long it will take before the doo. become jammed.

2. Please find the possible solutions for this question! A foundation 4 m x 5 m transfers a total load of 5 MN to stiff overconsolidated clay with an OCR=4 and ysar=19 kN/m (given figure below). Groundwater level is at 1 m below the ground surface. A CU test was conducted on a soil sample taken at a depth 5 m below the center of the foundation. The results obtained are (cu.)p = 40 kPa, o', = 28, and 'es= 24. Determine if the soil will reach the failure state for short- term and long-term loading conditions. If the soil does not reach the failure state, what are the factors of safety for short-term and long-term loading conditions? Assume the soil above the groundwater level is saturated. Please discuss the details of your findings! 5 MN Foundation: 4 m x 5 m 21 =1m Stiff clay 22 = 4 m Sample

A sand deposit has been identified beneath a site located adjacent to a river. The sand deposit is 30 feet thick and the top of the layer is 24 feet below the ground surface and overlain by a very stiff clay and is underlain by bedrock. The water level has been measured to be at a depth of 30 feet. The standard penetration resistance of the layer has been determined to be 20 blows per foot and a sampler without liners was used; a drill rig with a safety hammer with an efficiency of 60% was used. The length of the drill rod is 5 meters and the borehole diameter is 7.87 inches (200 mm). The design earthquake has been designated as a moment magnitude 7.5 event on a nearby fault and the maximum ground acceleration is expected to be 0.60 g. The wet unit weight of the clay soils is 200 pounds per cubic foot and the wet unit weight of the sand soils is 250 pounds per cubic foot. The sands have 45% fines content according to a grain size analysis. Determine the cyclic stress ratio, CSR.…

A circular footing with a radius of r = 4.0 ft will be embedded D = 2 ft in uniform clay. The top of the foundation is at the surface. The water table is at the ground surface. An intact sample of the clay with Gs=2.75 was obtained using a thin-walled Shelby tube from a depth of 10 ft below the ground surface. The sample was saturated and has a gravimetric water content of 45 %. Estimate its void ratio e0 and total unit weight y _in pcf. Ovp' = 800psf Void Ratio 1.5 1.4 1.3 1.2 1.1 1.0 0.9 0.8 do 10 0.1 0 2 z/r, depth in radii 6 7 8 9 Cr = 0.07 100 1000 Effective Stress (psf) 0.2 0.3 0.4 0.6 0.81.0 7.0 10.0 Cc = 0.3 8.0 9.0 5.0 6.0 I, stress in percent of surface contact pressure 2 3456 8.10 10000 3.0 2.5 (2.0) 1.25 20 30 40 50 60 80 100 1.0 PAG 0.75 Note: Numbers on curves indicate offset distances in radii, x/r. 2r Z 0.5 0₂- KAB X 0.25 IX q 100 0, 10 FIGURE 4.10 Chart for calculating the increase in vertical stress beneath a uniformly loaded circular area. (From NAVFAC DM-7.1, 1982,…