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 13, Problem 13.8P
To determine
Find the height of the slope for critical equilibrium.
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Question
A compacted earth fill is constructed on a soft, saturated clay (figure below). The fill was compacted to an average dry unit weight of 19 kN m3 ⁄ and water content of 15%. The shearing strength of the fill was determined by CU tests on samples compacted to representative field conditions. The shear strength parameters are ?? = 45 kPa, ??′ = 34°, and ???′ = 28°. The variation of undrained shear strength of the soft clay with depth as determined by simple shear tests is shown in the figure below, and the friction angle at the critical state is ???′ = 30°. The average water content of the soft clay is 40%. Compute the factor of safety…
Sand is placed on a rock slope, as shown in Figure Q2.
(a) Show that sand will be stable (i.e., no sliding sliding) if
Chapter 13 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27CTPCh. 13 - Prob. 13.28CTPCh. 13 - Prob. 13.29CTP
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- USING DOUBLE INTEGRATION METHOD Consider 250 mm x 250 mm (bxh) mm section and e = 100000 MPa DETERMINE VERTICAL REACTION AT B DETERMINE SLOPE REACTION AT B DETERMINE DEFLECTION AT D Values: A = 9.4 M B = 5.5 M C = 10.6 KN/M D = 33 KNarrow_forwardQ.1/Say whether the following statements are true (T) or false (F). Select 10 only: - 1. Ebb and flow results from moon attraction. 2. The term "matic rocks" means presence of light minerals. 3. Contour lines are not always parallel. 4. True dip represents the maximum value of a tiling bed. 5. Isometric system contains three unequal and perpendicular axes. The color of mineral Magnetite is same as its streak. 6. 7. Equivalents means rocks have same mineral composition but are differing in colors. Cleavage is present in some minerals. 8. 9. The Earth diameter is always constant. 10. Kant theory depend on catastrophic concept. 11. Presence of coal, lignite or anthracite reflects decay in an euxinic environment.arrow_forwardProblem 3: A house with 932 kN weight is built on a steep slope defined by points A, B, and C. To help assess the possibility of slope failure (mud slide), determine the components of the weight in directions normal (perpendicular) to the slope. The rectangular form of the weight is: * W = 932.0kN B 60 m C 180 m 130 m yarrow_forward
- A slope is shown in the figure below. If AC represents a trial failure plane, determine the factor of safety against sliding for the wedge ABC. Given: β= 570 , ϒ = 17.5 kN/m3 , φ’ = 13.50 , and c’ =27 kN/m2Please use the Culmann’s method B. Briefly Comment on how to analyze a slope and determine the factor of safety against overturning.arrow_forwardA cut slope was excavated in a saturated clay. The slope made an angle of 39.55 degree with the horizontal. Slope failure occurred when the cut reached a depth of 6 m. Previous soil explorations showed that a rock layer was located at a depth of 10 m below the ground surface. Assuming an undrained condition and γsat = 18 kN/m3, Analyze the following. a. undrained cohesion of the clay.b. nature of the critical circle?c. With reference to the toe of the slope, at what distance did the surface of sliding intersect the bottom of the excavation?arrow_forwardConsider a slope given below with 10 slices, which has a circular failure surface. Each slice has 5 meters wide, and the weight of each slice was estimated on the basis of average height and a unit weight of soil ? = 16 kN/m3. The shear strength of the soil is assumed to be ? = 20 kPa and ? = 20°. The pertinent data for these ten slices is given in the table below. a) Determine the factor of safety using Janbu’s simplified method by assuming the initial ?? = ?. ?. b) Discuss how the factor of safety (stability of the Slope) will change due to the rainfall. You start to consider what environmental conditions will change first.arrow_forward
- A sloping line 392.40 m long was measured using a 50 m steel tape weighing 0.075 kg/m which was standardized at 15°C and 25 N pull. The difference in the elevation between the initial and end point was 2.25 m. If the measurement was undertaken with a temperature of 20°C and the tape was supported at both ends with an applied pull of 50 N. The cross-sectional area of the tape is 5.25 mm^2 and E=200GPa. Determine the corrected length of the horizontal line.arrow_forwardThe factor of safety of an infinite soil slope shown in the figure having the properties c = 0, 0 = 35°, 16 kN/m3 and Ysat %3D = = 20 kN/m3 is Ydry approximately equal to 30° 8 m 10 marrow_forwardUSING DOUBLE INTEGRATION METHOD Consider 250 mm x 250 mm (bxh) mm section and e = 100000 MPa DETERMINE VERTICAL REACTION AT B Values:A = 9.4 MB = 5.5 MC = 10.6 KN/MD = 33 KNarrow_forward
- Problem 1: Using the Double integration method, find the slope at x = 5m and deflection at x = 7.0m 150KN/m 2000KN.m A в E 2.00m 2.00m 2.00m 2.00marrow_forward3. For the planar wedge shown below: 22 m Slip surface 39° 28° Calculate the factor of safety against plane failure assuming: p (degree) > (kN/m³) c (kPa) 55 2800 1850 c: cohesion of rock mass; y: unit weight of rock mass; p: friction angle of rock mass جیهان کاظیarrow_forwardA cut slope was excavated in saturated clays as shown in the figure. The soil has a unit weight of 17 kN/m³ and an undrained shear strength cᵤ = 20 kPa. The slope make an angle of 60° with the horizontal. Assume stability number m = 0.185. Slope failure occurs along the plane AC with BC = 8 m. Which of the following most nearly gives the stability factor?arrow_forward
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