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 column foundation [ 2.0 m x (1.7m] in size is located at a depth of 1.4 m in a strong cohesive soil layer 2.4 m thick has a unit weight of 19.7 kN/m3, cohesion of 29 kN/m2 and , friction angle of 28o. This layer overlies a weaker cohesive soil layer 15 m thick has a unit weight of 16.3 kN/m3, cohesion of 8 kN/m2 and friction angle of 20o. Determine the allowable foundation load if the factor of safety is 2.5. Show all the related labeled sketches clearly.
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QUESTION 2 A rectangular footing 1000 x 2000 mm shown below is subjected to a vertical point load of 600 kN acting at eccentricities ex = 200 mm and eyy = 100 mm, as show on the Figure below. Calculate the stresses at the corners A and D, and sketch the stress distribution along the face A-D. е 200 mm Vertical force = 600 kN B eyy =100 mm 1 m D. 2m Rectangular footing - Plane
A 1.2 meter wide long (strip) footing carries a wall loading of 48 kN per meter of wall length. What vertical stress increase results below the center of the footing at depths of 1 meter, 2 meter, and 4 meter, assuming: (a) Boussinesq conditions apply.(b) Westergaard conditions apply. (c) Show all work
The following results were obtained from CU tests on a clay soil that is the foundation material for an embankment. 03 (kPa) 300 400 600 0₁-03 (kPa) 331 420 487 Au (kPa) 111 160 322 (a) Determine the total and effective principal stresses for all three tests (You may summarize them in a table). (b) Recommend the shear strength parameters to be used for short-term and long-term analyses. The maximum confining pressure (cell pressure) at the depth of interest is 300 kPa. (Note: the clay is a normally consolidated one).
Q 1) A concrete foundation rests on the surface of a soil mass. Determine the vertical stress increase at point A. 4 m 1 m 1.5 m PLAN 1.5 m Fondation Load 3000 KN 2 m SECTION A Soil
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
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
Two foundations are located next to each other as follows. Determine the stress increase on a horizontal plane (i.e. - the increase in vertical stress) beneath Point A at a depth of 3 m below the ground surface. The foundations are bearing on the ground surface. 3 m- +2.5 m -6 m 5 m A O= 90 kPa = 120 kPa 6 m
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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