Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 8, Problem 8.16P
To determine
Find the maximum depth of cut, H, that can be made in the clay.
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3. The upward flow of water through a layer of sand in the
tank shown in figure has the
following properties: e =0.50, G-2.67.
Determine the following:
a) Effective stress at point A
b) Effective stress at point B
c) Upward seepage force per unit volume of soil
0.8m
3.5m
Supply of Water
0.5m
A
B
1.9m
The following figure is a layer of sand (γ s a t=130 lb/ft3 ) in a tank of water. If point C is located at the middle of the soil layer, what is the effective stress at point C:
(a) when the valve is closed (there is no seepage)
(b) when the valve is open (there is downward seepage)
Water flows in the upward direction in a tank
through 2.5 m thick sand layer as shown in the
figure. The void ratio and specific gravity of sand
are 0.58 and 2.7, respectively. The sand is fully
saturated. Unit weight of water is 10 kN/m³.
Outward
flow
1.2 m
1m
water
Sand
2.5m
•A
1m
Filter media
Inward flow >
The effective stress (in kPa, round off to two
decimal places) at point A, located 1 m above the
base of tank, is
alice
Chapter 8 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - The soil profile at a site consists of 10 m of...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - A sand has Gs = 2.66. Calculate the hydraulic...Ch. 8 - Prob. 8.16PCh. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - Point loads of magnitude 9, 18, and 27 kN act at...Ch. 8 - Refer to Figure 8.13. The magnitude of the line...Ch. 8 - Refer to Figure 8.24. Determine the vertical...Ch. 8 - Consider a circularly loaded flexible area on the...Ch. 8 - A flexible circular footing of radius R carries a...Ch. 8 - The plan of a flexible rectangular loaded area is...Ch. 8 - Refer to Figure 8.26. The circular flexible area...Ch. 8 - Refer to Figure 8.27. The flexible area is...Ch. 8 - Prob. 8.26CTPCh. 8 - Prob. 8.27CTP
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- A 39.4 ft thick layer of relatively impervious saturated clay lies over a gravel aquifer. Piezometer tubes introduced to the gravel layer show an artesian pressure condition with the water level standing in the tubes 9.8 ft above the top surface of the clay stratum. The properties of the clay are e = 1.2, G, = 2.7 and Ysat = 110.62lb/ft³ Determine (a) the effective stress at the top of the gravel stratum layer, and (b) the depth of excavation that can be made in the clay stratum without bottom heave. TIRSURS 39.4 ft Clay Gravel II TIRSURS TIRSURS Figure Ex. 5.12 49.2 ft TIRSURSarrow_forward11. Consider the downward flow of water through a layer of sand in the tank shown. (see picture below) Void ratio of the soil = 0.52 Specific Gravity = 2.70 Compute the value of h1. (Answer: 0.436) Compute the effective stress at A. (Answer: 17.44 kPa) Compute the effective stress at B. (Answer: 31.98 kPa) Compute the seepage force per unit volume. (Answer: 3.57 kN/m3)arrow_forwardFrom the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K= 0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the total stress at point C in KPa. h=0.45m T H₁-0.60 m H₂-0.90 m Direction of flow H₂O Sand 1265 valve openarrow_forward
- A glass container with pervious bottom containing fine sand in loose state (void ratio = 0.8) is subjected to hydrostatic pressure from underneath until quick condition occurs in the sand. If the specific gravity of sand particles = 2.65, area of cross-section of sand sample= 10 cm2 and height of sample = 10 cm, compute the seepage force in N acting from below. a. 9.17. b. 0.9 c. 0.45 d 7.29arrow_forward1. (30 pts) The soil profile shown below consists of 10 meters of sandy silt overlying gravel. The pore water pressure at the top surface of the silty sand is zero and can be assumed to remain zero. a) Calculate the level to which water would rise in a piezometer tube inserted into the top of the gravel if the silty sand is just stable? Use submerged unit weights and seepage forces to arrive at your answer (do not calculate total stresses and pore water pressures). Express your answer as an elevation, e.g. "Elev. 130". (Note: Elevations are in meters) (10 pts) b) Using the piezometric elevation calculated in part (a), calculate the pore water pressure at the bottom of the silty sand if the silty sand is just stable (10 pts). c) Calculate the total stress at the base of the silty sand and show that it is equal to the pore water pressure calculated in part (b) (10 pts) Elev. 120 m. Elev. 110 m. Sandy Silt (saturated) Void ratio, e = 0.68 G = 2.65 Gravelarrow_forwardA 6 m-thick layer of stiff saturated clay is underlain by a layer of sand (Figure 8.22). The sand is under artesian pressure. Calculate the maximum depth of cut, H, that can be made in the clayarrow_forward
- A sand layer 6m high overlies a clay layer that is 8m high. Ground water table is at the interface of a sand and clay. The unit weight of sand is 16.16kn/m3, saturated uni weight of clay is 19.65kn/m3, void ratio of clay is 0.74, Liquid limit= 44. Determine the settlement (mm) of the consolidating layer for a stress increase of 52.4kpa. Use stored value. Answer in 5 decimal places.arrow_forward17 A soil profile consists of sand (7-m thick) which overlies a layer of clay (6-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? For sand layer: Void Ratio = 0.78, Specific gravity = 2.61, Degree of Saturation = 0.6 For clay layer: Void Ratio = 0.84, Specific gravity = 2.87 Round off to two decimal places.arrow_forwardA series of previous CD tests conducted on a NC clay has established that the ultimate effective friction angle of the clay is 300. Now a CU test is conducted on this soil with an effective cell pressure of 100 kPa. The specimen fails at a deviatoric stress of 100 kPa. Estimate the pore pressure at failure. Given: σ3f′=Kaσ1f′whereKa=1−sinϕ1+sinϕ Please do fast .... ASAP Fastarrow_forward
- The soil profile shown consists of dry sand (4-m thick) which overlies a layer of clay (3-m thick). Ground water table is located at the interface of the sand and clay. a. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? Round off to two decimal places. (ANSWER: 26.336) b. Compute the effective stress at the bottom of the clay layer in kPa. Round off to three decimal places (ANSWER: 97.686) c. How many meters must the ground water table rise to decrease the effective stress by 14 kPa, at the bottom of the clay layer? Round off to two decimal places (ANSWER: 2.13)arrow_forwardA soil profile shown has a zone of capillary rise in the sand overlying the clay. In average degree of saturation is 60% with a moist unit weight of this zone, the 17.6 kN/cu.m. a. Compute the effective stress inside the capillary zone at a depth of 3.0 m below the ground surface. Ground surface Dry Sand Ydry=16.50 kN/m³ 3m 3.9 m b. Compute the effective stress at a depth of 3.9 m below the ground. 6.9 m Sand B 0.9 m Y=17.6 kN/m Z water table Clay С. Compute the effective stress at C. Yrar=18,08 kN/m' 3marrow_forward3. A soil layer consists of 4 meters of sand underlying 5 meters of clay. The water table is naturally located at the rock bed under the soil strata but rose by 6 meters due to a recent storm. Further, capillary action is expected to de- velop due to the nature of the soil in question. Compute the effective stresses at the end of expected capillary ac- tion, at the end of the water table, at the interface of the clay and sand and finally at the bottom of the soil strata. Pertinent soil properties are as follows:arrow_forward
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