Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305723351
Author: Braja M. Das
Publisher: Cengage Learning US
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A planned construction site is underlain by a thick deposit of normally consolidated clay soil. A building foundation 6 ft square will be located on the ground surface and carry a total loading of 180,000 lb. Determine the foundation settlement (beneath center) by analyzing the volume changes due to primary compression in layers that are 2, 4, and 6 ft thick, respectively, from the foundation level downward. For simplification, assume a soil unit weight of 115 pcf constant with depth, an inplace void ratio of 1.05, and a compressio index of 0.35 for each layer analyzed. Use Boussinesq conditions.
The attached figure shows the plan of rectangular foundation which transmits a uniform contact pressure of 120 kN/m2. The width of the foundation is 15 m.
A) Determine the increase in vertical pressure at a depth of 10 m below point A
B) The vertical stress at a depth of 10m below point B
3. Point A lies in a clayey sand layer with $' =
38, c'= 10 kPa, and K, = 0.5. The ground
surface is flat. A planned construction
operation will cause the vertical effective
stress at point A to reach 80 kPa.
a. Use a compass to draw the expected MC
for point A (after construction) on the space
shown on the right.
b. Will point A reach failure? Explain your
answer with one sentence.
Chapter 11 Solutions
Principles of Foundation Engineering, SI Edition
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- An oil storage tank 35min diameter is located 2m below the surface of a deposit of clay 32mthick, which overliesa firm stratum, as shown in the scheme below. The net foundation pressures at the foundation level equal105 kN/m2. The average values of mv and pore pressure coefficient A for the clay are 0.14 m2/MN and 0.65,respectively. The undrained value of Young’s modulus is estimated to be 40 MN/m2. Determine the total settlement(excluding settlement due to secondary compression or creep) under the centre of the tank.arrow_forwardA footing of size 2m x 2m transferring a pressure of 200 kN/m2, is placed at depth of 1.5 m below the ground as shown in the figure (not drawn to the scale). The clay stratum is normally consolidated. The clay has specific gravity of 2.65 and compression index of 0.3. 200 kN/m? 1.5 m GWT Ya = 15 kN/m 18 kN/m elemiu 1 m Silty Sand Ysat = 10.5 m 1.5 m Clay Yat = 17 kN/m Dense Sand Consideration 2:1 (vertical to horizontal) method of load distribution and yw primary consolidation settlement (in mm, round off to two decimal places) of the clay stratum is 10kN/m, thearrow_forwardA 5-ft fill is to be placed over the following soil profile shown below. Determine if the clay is normally consolidated or over-consolidated. The pre-consolidation pressure (past maximum consolidation stress) of the clay is 1000 lb/ft3. 5 ft 2 ft 4 ft Proposed Fill, y = 120 lb/ft³ Sand Clay Rock 2 ft A Ydry = 100 lb/ft³ Ground water table Ysat 110 lb/ft³ = o'= Pc = 1000 lb/ft²arrow_forward
- Calculation Example Foundation 3 m x 4.5 m 4.5 m Load 2025 kN -3 m -1.5 m- Determine the increasing of vertical stress below point A, B, and C at the depth of 3 Flan m. Sectionarrow_forwardQ3. Two meters of compacted fill (y= 20 kN/m³) is placed over a large area (Figure 4). A rectangular foundation of size 4 m x 5 m is constructed at the site with its base located at the existing ground surface. GWT is found at a depth of 3 m below the existing ground surface. a). Calculate and plot the in-situ vertical effective stress profile to a depth of 16 m below the existing ground surface prior to fill and footing placement. Use points with z = +2, +1, 0, -1, -2, -3, -5, -10, -13, -16 m (with z measured from the existing ground surface). b). Calculate and plot the additional effective stress due to the fill to a depth of 16 m. Use the same points as in part a). c). If the load applied on the foundation is 4 MN, calculate and plot the effective stress increase due to the footing to a depth of 16 m. Use the 2:1 approximate method and the same points as in part a). Summarize your calculations in an Excel spreadsheet and present sample calculations for z = 0, -3, -10 and -16 m (with…arrow_forwardA footing of size 2m×2m transferring a pressure of 200 kN/m², is placed at a depth of 1.5 m below the ground as shown in the figure (not drawn to the scale). The clay stratum is normally consolidated. The clay has specific gravity of 2.65 and compression index of 0.3. 1.5m 1m 1.5 m 200 kN/m² Silty sand Clay Ya =15kN/m³ Y sat = 18kN/m³ Y sat = 17 kN/m³ GWT $0.5 m Dense sand Considering 2:1 (vertical to horizontal) method of load distribution and Y₁ = 10kN/m³, the primary consolida- tion settlement (in mm, round off to two decimal places) of the clay stratum isarrow_forward
- A 1.8 m square, 2 m deep footing supports a service load of 570 kN. It is supported on a clayeysand. A dilatometer test run at the site has returned the following modulus profile.Depth (m) 2 3 4 5 6 7 8 9 10 11 12M (MPa) 7.7 8.8 10.2 14.8 15.4 10.8 11.6 11.6 13.1 13.8 13.4Compute the footing settlement.arrow_forward1.A raft foundation 60 X 40 m carrying a net pressure of 145 kN/m^2 is located at adepth of 4.5 m below the surface in a deposit of dense sandy gravel 22 m deep: thewater table is at a depth of 7 m. Below the sandy gravel is a layer of clay 5 m thickwhich, in turn, is underlain by dense sand. The value of mv for the clay is 0.22 m^2/MN. Determine the settlement below the centre of the raft, the corner of the raftand the centre of each edge of the raft, due to consolidation of the clay.arrow_forwarda 6m square foundation exerts a uniform pressure of 300kPa on a soil.Determine a.vertical stress increments due to the foundation load to a depth of 10m below its centerarrow_forward
- The figure below shows a proposed foundation site, with 10 ft of sand overlying 20 ft of clay with consolidation properties shown. The clay is normally consolidated. Assume 1-D conditions.a. Compute the initial σ′v at the middle of the clay layer prior to excavation and constructionb. After excavation and during construction, the foundation area will be heavily loaded with the structure and equipment so that σ′v at the middle of the clay layer will be increased to 3900 psf. Determine the settlement that will occur under these conditionsc. After construction is completed, the equipment will be removed and the final σ′v at the middle of the clay layer will be 3200 psf. Compute the swell that occurs after the equipment is removedarrow_forwardA rectangular foundation (8x6 ft) carrying an axial load of 350 Kips is constructed on the soil profile shown below. Determine: a) The total stress, effective stress, and pore water pressure at the top, middle, and bottom of the clay layer (Normally Consolidated) after a very long time b) The final consolidation settlement of the clay layer caused by construction of the foundation (Use the weighted average method) c) The settlement of the clay layer after 2 years d) The degree of consolidation at the middle of clay layer after 4 years e) How long it takes for the clay layer to reach 95% degree of consolidation? 350 kips 5 ft 8 ft dry sand Ya-110 Pef 15 ft Yuu-115 Pef 30 ft Your-119 Pef 6 ft GWT sand NC Clay C-0.32;C-0.06 C.-4.5x10 cm²/sec Coarse sandarrow_forwardA circular footing 3 m in diameter applies a uniform surface pressure of 150 kPa. Determine the vertical stress increase beneath the center at 2 m deep from the ground level.arrow_forward
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