A foundation (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit.a. Evaluate increases of vertical stresses points A, B, and C at the depth of 2m and Sm (2points)b. At what depth is the increase in vertical stress below A less than 10% of the surfacestress?6 m+2 m-A2 m-4 m-Figure 1: Plan of foundation

Radial distsnce of A = 0Radial distance of B rB=22+32=3.6 mRadial distance of C rC=42+12=4.12…

Answered: A foundation (Figure 1) transmits a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A rectangular foundation 6m x 12m carries a uniform pressure of 150 kN/m2 near the surface of a soil mass. Determine the vertical stresses at a depth of 6m below point A: 12 m 4 m 6 m 2 m A Select one: a. 0.040 b. 0.043 c. 0.0427 d. 0.044
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It has been determined that the stress increase occurring at a depth of 6 m below the center of the foundation with a diameter of 6 m is equal to the increase in stress at 6 m depth under the center of the square foundation of 6 m X 6 m. Since the load carried by the circular foundation is 1000kN, how much load does the square foundation carry?
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
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Calculate the increase in the vertical stress at A due to the two line loads acting on the footing as given in the figure.
* 3 m b. Is the clay overconsolidated? c. What would be the consolidation settlement beneath the center of the mat? 6m A 15 m X 20 m mat foundation shown in Figure P10.7 car- ries a building load of 36 MN and is placed at 3.0 m depth below the ground level. 5 m For the clay layer, the consolidation tests show that the preconsolidation pressure at the middle of the clay layer is 210 kN/m². a. Find the net applied pressure on the underlying ground. Q Sand Clay y = 16.5 kN/m³ Ysat 19.0 kN/m³ e = 0.82 Ce=0.35 and C, = 0.06 =
A rectangular concrete slab, 3mx4m, rests on the surface of a soil layer as shown in the figure. The saturated clay has over consolidation ratio of 2, w=38%, and Cr=0.05. Determine the primary consolidation settlement of the clay. The load on the foundation is 2000OKN. Assume that 20% of voids in sand is air and porosity of sand is 0.43. Cc=0.28 Gs=2.65 4 m Fine sand 5 m Clay 2 m
Answer 4 then use the answer from 4 to answer 5
4. A square foundation will be constructed at ground surface. The subsoil profile is shown in the figure below. The mat will have a net uniform load of 500 psf at El. O. The mat will have a net uniform load (Induce stress) at El. -15 of 360 psf, the primary consolidation settlement (in.) of the clay layer directly below the center of the foudnation is? fr ORIGINAL GROUND SURFACE ELEV. O ft ELEV-5 ft. ELEV-10 ft ELEV-20 ft 30 ft SAND Y = 115 pcf MAT FOUNDATION SAND Y = 105 pcf GROUNDWATER TABLE NORMALLY CONSOLIDATED CLAY SATURATED UNIT WEIGHT = 95 pcf COMPRESSION INDEX C₂ = 0.29 VOID RATIO=1.0
2. Bascd on the following figure, all layers shown in the figure are fully saturated. The pressure applying from a building to the ground surface is about 900 kPa. Assume Gs = 2.7 for each layer. (a) Determine the cffective stress for a soil element at the middle of each layer. (b) Determine the vertical stress increase at the middle of the clay layer under the center of the foundation (10 mx20 m). (c) Determine the primary consolidation settlement of the clay layer at the center of the foundation if the clay is overconsolidated with an OCR=1.5. (d) How long will consolidation settlement take for 50% consolidation to occur in the field if the value of C, = 10 m2/year. 20 m 10 m 20 m Lightly cemented (calcium carbonate) sand/gravel = 17 kN/m Clay properties: w = 55% C = 0.4 C, = 0.05 20 m 3 m Soft clay 15 m Sand and gravel w=10% Rock
11.19 Refer to Figure 11.45. A square footing, 2 x 2 m in size, supports a column load of 300 kN. The soil characteristics are given in the figure. Field monitoring indi- cated that the foundation settlement was 19 mm during the first 12 months. a. Estimate the average stress increase in the clay layer due to the applied load. b. Estimate the primary consolidation settlement. c. What is the degree of consolidation after 12 months? d. Estimate the coefficient of consolidation for the pressure range. e. Estimate the settlement in 24 months. 300 kN 1m 2m x 2 m Ya = 14 kN/m3 I m Yu = 17 kN/m 24% G, = 2.74 LL = 46 2 m o'= 40 kN/m² C, = 1/5C. Sand Clay Figure 11.45 O Cengrge learring 2014

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