Compute the vertical stress increments under Points A, B,
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Subject: Soil
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- Q4: Use the rectangular loaded area to calculate the increase in vertical stresses at points (A) and (B) due to the loaded area of footing. Choose figure (1) or (2). 121 Top view Top view B J-2m- B CLAY 1 CLAY 1 CLAY 2 A 10 m X 10 m 9-150 kN/m² TTTTTT INCOMPRESSIBLE Figure (1) B G.W.T CLAY 1 CLAY 1 CLAY 2 YA' 10 m X 10 m 9-150 KN² INCOMPRESSIBLE Figure (2) Thm G.W.A 4m x 5m rectangular footing resting at ground level carries a uniform load of 550 kPa. Compute the vertical stress increment at a depth of 8.0m below the ground surface. a. Use 2:1 Approximation Method (70.51) b. Use 60 Approximation Method (58.36)Ex1: A footing is uniformly loaded with q = 100 kN/m² as shown in the figure. Compute the vertical stress increments under Points A, B, and C at z = 10 m. By 13.5 Footing 12m Use Vertical stress Increment under corner of rectangular footing 7 (Plane view) 6
- A rectangular footing is constructed on saturated sand. This footing is placed under 1000 KN column load and 500 KN.m moment as shown in the image. Find the eccentricity in both directions and calculate the equivalent footing size. 3.0 M=500 KN.m 0.50 2.5 P1=1000 KN 0.50Q4: Use the rectangular loaded area to calculate the increase in vertical stresses at points (A) and (B) due to the loaded area of footing. Choose figure (1) or (2). Top view Top view It 10 m.X. 10m. 4-15006 AWT MPRESSIBLE CLAY 1 CLAY 1 CLAY 2 10m x 10m - 150 d 777777777 G.W.T CLAY 1 CLAY 1 CLAY 2Q2. a) A 2 mx 2 m square footing is subjected to an axial load of 600 kN and a bending moment of 180 kNm as appears in Figure 2. The footing is located at 1.2 m deep in a cohesionless soil that has a friction angle of 35° and a saturated unit weight of 18.4 kN/m³. The water table is 2.7 m below the soil surface. Calculate the following, (i) Calculate the eccentricity of the load, (ii) Calculate and draw the soil contact pressure beneath the footing, (iii) Determine the factor of safety of the footing against the bearing capacity (use the general Meyerhof, bearing capacity equation). Assume the soil above water table is saturated. -600 KN /sat = 18.4 kN/m³ 1.2 m c'= 0 kPa, o'= 35° 1.5 m DI. 2 m M = 180 kNm Figure 2
- 3. A square footing which carries an axial load of 132530 kg has its bottom resting on a groundwater table at a depth of 2.5 m. from the ground surface as shown in the figure. Assume a general shear failure. Use: qu = 1.3cNc + yDfNq + 0.40YBNy a. Compute the width of the footing using Terzaghi's equation using a gross F.S. of 3. b. Compute the ultimate bearing capacity of the soil, in lb/ft² c. Compute the net factor of safety. d. Compute the net soil pressure, in psf Founda Dy 25m 132530 kg P=1846 kg/m³ C-1605 kg/m² 0-30' Pa 1965 kg/m³3500 kN 3 m x 3 m 0.6 m Ya = 17.5 kN/m³ Sand 0.6 m GWT Sand Ysat = 18.3 kN/m3 1.2 m Y sat = 17.1 kN/m³ C, = 0.06 Clay 1.2 m e, = 1.4 Cc = 0.38 %3DThe column in the proposed rectangular footing depicted below has a size of 0.5x0.5 m. If the stress distribution is uniform, calculate the length of the footing under the design loads. M1-400 KN.m P1=1200 KN 6.50 M2 200 KN.m P1-600 KN 4
- A rectangular footing has dimensions shown and is acted upon by a dead load of 653 KN and a live load of 647 kN. The column dimension is 269x677 mm where the shorter dimension is parallel to B. The thickness of the footing is 442mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=2.9m and B=4.8m Calculate the ratio of the Ultimate Shear Force to Shear Capacity in one-way shear. Consider critical case only.Q: VERTICAL STRESS INCREMENT UNDER CORNER OF RECTANGULAR FOOTING Ex1: A footing is uniformly loaded with q = 100 kN/m2 as shown in the figure. Compute the vertical stress increments under Points A, B, and C at z = 10 m. 13.5 m 7.0 m Footing 12 m (Plane view) 6.0 mA 3m diameter circular footing is transmitting a concentrated load of 1500KN. A). Determine the bearing pressure exerted by this footing into the supporting soil. B). Determine the increase in the vertical stress at a depth of 3m directly below the center of the footing. C). Determine the increase in the vertical stress at a depth of 6m which is located at 2m radially from the center of the footing.