3. Determine the settlement at the center of the foundation shown. The net foundation load is 50 tons and the foundation

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3. Determine the settlement at the center of the foundation shown. The net foundation load is 50 tons and the foundation

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3. Determine the settlement at the center of the foundation shown. The net foundation load is 50 tons and the foundation is 5 ft by 5 ft. Estimate the consolidation settlement of the clay layer by dividing it into 5 layers each of which are 2 ft thick. Present your calculations in the form of a table as shown below. Use the equation given by Newmark (1935) to calculate the stress influence factor at the midpoint of each sublayer of clay. Be sure to take into consideration the preconsolidation stress when calculating the settlement. You should solve this questior using Excel but make sure to show a hand-calculation for one full line of your table. Given: H1=4.5 ft, H2 = 3 ft, Hc = 10 ft, Cc= 0.25, Cs= 0.06, e0= 0.7, preconsolidation pressure = 1200 lb/ft?, bulk unit weight of sand is 100 lb/ft?, saturated unit weight of sand is 122 lb/ft? and saturated unit weight of clay is 120 lb/ft?. 1|2MNVD V +1 (2MN/D qv = 90 41 | V + V1 V V-V + tan-1 ( Where:
M = B/Z N = L/z qv = 90 for z = 0 V = M2 + N2 + 1 V = (MN) Sa [ft] Sc[ft] Eff. Over. Increase Stress (at in Stress midpoint) Δσ = 4ls Recompression H (ft) z, [A] M=B/z N=L/Z V Vi = Virgin Compression 2 Layer No. 1 2 3 4 5 2 2 2 2 Total: 0 0
Sand 71 H1 5 ft x 5 ft V-- Ground water table H2 Sand Ysat-sand Hc Clay Ysat-clay eo Preconsol. Pressure Cc C Note: The equation by Newmark (1935) is the Boussines equation integrated over a rectangle of dimensions B x L. It is applicable beneath the corner of an area B x L.
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