10 m A D E 20 m 9₁ = 300 kPa 91 92 = 100 kPa B C F 5 m 5 m
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A building is founded on a rectangular mat of dimensions 20 m x 10 m as shown in the plan view in figure below. A surcharge of 300 kPa is applied within the area ABCD whereas a surcharge of 100 kPa is applied within the area CDEF. Calculate the increase in vertical total stress in kPa at the depth of 5 m below Point F
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- The construction of a structure may impose the following stresses on a plane inclined at 30◦ to the horizontal direction: a normal total stress of 250 kPa, a shear stress of 50 kPa and a porewater pressure of 100kPa. The peak and critical state friction angles of the soil are 35◦ and 25◦ , respectively. Will the soil fail? Can a safe design requiring a factor of safety of 2 be met?Problem 2 Plot the stress profile for total stress, effective stress and pore water pressure. Show all calculation. A Dry sand 0.61 G=266 Saturated sand. e=0,48 G=267 Clay(1) A well is drilling to the depth of 6000 m. Formation pore pressure can be expressed in equivalent mud weight is 1.50 g/cm' at the depth and changes in proportion to well depth. Also, overburden pressure gradient is 0.0245 MPa/m. Calculate: a. Pore pressure gradient at 6000 m, MPa/m. b.Pore pressure, psi, at 6000 m. c. Matrix stress gradient, MPa/m d.Matrix stress at 6000 m, MPa
- ngt by Cyrus Aryani e12 A uniform surface load of 225 kN/m2 is applied over the area shown in the following diagram. Estimate the stress increase in soil due to the above load at a depth of 7 m below point A. 8 m 3 m A 3 m 2 m 2 m 3 mA building is constructed in an area where the ground surface is horizontal. The groundwater table at the site is very deep. For a point within the soil mass, 3 m below the surface, the preconstruction effective vertical stress was 52 kPa and the effective horizontal stress was 26 kPa (based on a lateral pressure coefficient K equal to 0.5); consider these stresses to be principal stresses. The vertical stress at the same point is increased by 20 kPa because of foundation loading and building use, but assume the horizontal stress is not changed. Shortly after the building is completed and occupied, the groundwater table at the site raises to within 1.5 m of the ground surface. The vertical effective stress in the soil mass changes because of the raised water table. Determine the maximum shear stress at the analyzed point in the soil mass for the changed condition if: (a) the horizontal effective stress is not changed by the rising water table (b) the horizontal effective stress is…A building is founded on a rectangular mat of dimensions 20 m x 10 m as shown in the plan view in figure below. A surcharge of 300 kPa is applied within the area ABCD whereas a surcharge of 100 kPa is applied within the area CDEF. Calculate the increase in vertical total stress in kPa at the depth of 5 m below Point F (acceptable tolerance = 10%).
- Problem 2 Plot the stress profile for total stress, effective stress, and pore water pressure. Show all calculation. Diy sand 0.61 Saturated sand 0.48. G-267 Claylayer. 2. A project with excavation and construction stages will take place at your site. The profile contains a saturated clay On March 1, the effective stress at point A (in the middle of the clay layer) is 150 kPa, and the overconsolidation ratio is 1. On April 1, the effective stress at point A is 140 kPa. On May 1, the effective overconsolidation ratio on May 1? Show your work and circle your answer. stress at point A is 290 kPa. What is theThe soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table (GWT) is located at the surface of the clay layers, and the capillary rise in the sandy soil is negligible. The effective stress at the middle of the clay layer after the application of the embankment loading is 180 kN/m². Take unit weight of water, Yw = 9.81 kN/m3. Embankment load boudi Sand GWT 2m y = 18.5 kN° it enit Clay Specific gravity, G̟ = 2.65 Water content, w = 45% Compession index, C. = 0.25 6m %3D %3D Impermeable layer The primary consolidation settlement (in m, round off to two decimal places) of the clay layer resulting from this loading will be
- Solve the following problems. Provide complete solutions and summary of answers. The water table in soil deposit is 2 meters below the ground surface. The soil above the water table has a dry unit weight of 14.85 kN/cu. Meter. The saturated unit weight of the soil is 20.58 kN/cu.meter. Determine the following: a. Total Stress at a point 4.80 meters below the ground b. Total Pore pressure 4.80 meters below the ground c. Total effective stress at a point 4.80 meters below the ground.A sample of sand is sheared in the following manner. First an all around normal stresso 350 kPa is applied to the sample. Next a shear stress is applied to the horizontal pia while the normal stress remains constant. The shear stresses at failure are + 186 kPa. Ihe initial stress and stress condition at failure are shown below 350 kPa 350 kPa 186 kPa 350 kPa 350 kPa ー550 kPa 550 kPa 186 kPa 350 kPa 350 kPa Initial Conditions At Failure Determine the Following: fo A) Assuming c, = 0, draw a failure envelope for the soil. Define the friction angle ( the soil. B) Draw the Mohr's Circle at failure for the test. C) Show the location of the pole. D) Define the maximum and minimum principal stresses at failure. E) Define the normal stress corresponding to the maximum shear stressExample 8.2 Refer to the e log o' curve shown in Figure 8.12. a. Determine the preconsolidation pressure, o. b Find the compression index, Ce 1.0 0.9- 0.8 0.7 0.6 03 10 Effective pressure, o (ton/t) (log scale) Figure 8.12