
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:The foundations supporting two columns of a building are shown in Figure E9.16. An extensive soil
investigation was not carried out, and it was assumed in the design of the foundations that the clay layer
had a uniform thickness of 1.2 m. Two years after construction the building settled, with a differential
settlement of 10 mm. Walls of the building began to crack. The doors have not jammed, but by
measuring the out-of-vertical distance of the doors, it is estimated that they would become jammed if
the differential settlement exceeded 24 mm. A subsequent soil investigation showed that the thickness
of the clay layer was not uniform but varies, as shown in Figure E9.16. The owners would like to get
an estimate of the expected total differential settlement and how long it will take before the doors
become jammed.
780 kN|
780 kN
Foundation A
Foundation B
1.5 m x 1.5 m
1.5 m x 1.5 m
Sand.
1.4 m
3 m
2.8 m
1.2 m
Clay, m, = 0.7 m²/MN
Gravel
FIGURE E9.16
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- 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,…arrow_forwardThis is for foundation engineering review. Please show work and choose from the answer choicesarrow_forwardNot site specific I am checking calculationsarrow_forward
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