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 13.29CTP
To determine
Find the depth of excavation before failure occurs.
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Please answer 15.15
A cut slope of h= 7m was excavated in a saturated clay with a slope of angle beta = 45 degrees with the horizontal.
The Previous explorations showed that a rock layer was located at a depth of 14 m.
Given that,
c = 60 kN/m² and unit weight = 17 kN / (m ^ 3) . Determine the factor of safety.
What is the shearing strength of soil in kPa along a horizontal plane at a depth of 4 m in a deposit of sand having the following properties: Angle of internal friction, ∅ = 35°; Dry unit weight, yd = 17 kN/m3 ; Specific gravity, Gs = 2.7; Assume the ground water table is at a depth of 2.5 m from the ground surface
a.11
b.95
c.23
d.41
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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- 3 A soil profile consists of a clay layer underlain by a sand layer, as shown in the figure. If a tube is inserted into the bottom sand layer and the water level rises above the ground surface, Determine the effective vertical stress in kPa at B. * 3.2 m GWL ↑1 m Yst = 18.5 kN/m³ %3D Clay 2 m Ysat = 19.0 kN/m³ %3D |1.5 m Ysat = 17.0 kN/m³ %3D Sand В 2 m The value must be a numberarrow_forwardGeotechnical engineeringarrow_forward10.24 A road embankment is being placed across a shallow section of a bay. The existing profile consists of 1 m of water over a 5-m thick normally consolidated clay soil which overlies a very dense and stiff gravelly sand. A consolidation test on the clay generated the follow- ing results: C = 0.21, e0 = 1.21. The embankment material is expected to be place at a unit weight of 18.1 kN/m³. Determine the thickness of the embankment such that the final elevation of the embankment is 2 m above the water level. This will require an iterative 10. solution.arrow_forward
- (Note:Depth of rock layer is 2m not 12 m.) Q A cut slope was excavated in a saturated clay with a slope angle β = 57 ͦ with the horizontal. Slope failure occurred when the cut reached a depth of 8 m. Previous soil explorations showed that a rock layer was located at a depth of 2 m below the ground surface. Assuming an undrained condition and that ɣsat = 21 kN/m3 : Determine the undrained cohesion of the clay (Fig 3). What was the nature of the critical circle? With reference to the top of the slope, at what distance did the surface of the sliding intersect the bottom of the excavation?arrow_forward1. Determine the gradient of each point from point 1. ( 2540 2540 2290 650-m from point 1-2 850-m from point 1-3 1550-m from point 1-4 Contour map units: meters 2. Given a density of a cubical quart rock to be 2650 kg/m³, determine the lithostatic stress on 800,000 cm³ volume if the acceleration is 980 cm/sec² with a depth of burial to be 6 miles./arrow_forward5. A soil on a hillslope has a slope-normal thickness of 2.2 m, bulk density of 1,625 kg/m³ and a slope of 37º. As usual, acceleration due to gravity is 9.8 m/s². What is the shear stress on the potential failure plane at the soil-bedrock interface to the nearest kPa? 6. For the same hillslope as in question 5, what is the normal stress on the potential failure plane to the nearest kPa?arrow_forward
- b=1,5arrow_forwardQ.4 A 40° slope is excavated to a depth of 8 m in a deep layer of saturated clay having strength parameters c = 58 kN/m², Ø = 0, and y = 18 kN/m³. Determine the factor of safety for the trial failure surface shown in Fig. 4 Q.5 Figure 5 shows an infinite slope with H = 32 ft and the groundwater table coincidingarrow_forward2 A granular soil is subjected to a minor principal stress of 200 kN/m². If the angle of internal friction is 30°, determine the inclination of the plane of failure with respect to the direction of the major principal stress. What are the stresses on the plane of failure and the maximum shear stress induced? 3 An embankment consists of clay fill for which c' 25 kN/m2 and o = 27° (from consolidatedundrained tests with pore-pressure measurement). The average bulk unit-weight of the fill is 2 Mg/m'. Estimate the shear- strength of the material on a horizontal plane at a point 20 m below the surface of the embankment, if the pore pressure at this point is 180 kN/m² as shown by a piezometer.arrow_forward
- X=7arrow_forwardAn embankment consists of clay fill for which c′ = 25 kN/m2 and φ = 27° (from consolidated undrained tests with pore-pressure measurement). The average bulk unit-weight of the fill is 2 Mg/m3. Estimate the shear-strength in kPa of the material on a horizontal plane at a point 20 m below the surface of the embankment, if the pore pressure at this point is 180 kN/m2 as shown by a piezometer.arrow_forwardDetermine the factor of safety of the slope against shear failure if water percolates in a direction parallel to surface of slope.arrow_forward
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