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 13.15P
To determine
Find the factor of safety of the slope and locate the critical circle.
Locate the critical circle for the given condition.
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The soil condition in the field is as follows:
c = 20 kN/m²,
= 20°, Y = 20 kN/m³
The maximum
depth of unsupported excavation is
m.
The figure below shows a proposed site where an excavation will be made. The 12 ft layer of sand will be removed, so that the top of the 30 ft normally consolidated clay layer will be exposed (Assume that changes in GWT do not affect γt of clay). a. Assume that the water-table location remains the same during excavation. Compute the σ, σ′v, and u values at the middle of the clay layer before and after the excavation b. Assuming 1-D conditions, compute how much the clay layer will deform due to this excavation, in inches. Specify whether this is settlement or heave
An unsupported excavation is made to the
maximum possible depth in a clay soil having
Y, = 18 kN/m³, C = 100 kN/m², o = 30°. The
active earth pressure, according to Rankine's
theory, at the base level of excavation is-
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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- An excavation is to be made in purely cohesive soil deposit having c = 20 kN/m² and unit weight = 16 kN/m³. The depth to which the vertical sides of the excavation will remain stable without side supports will be:arrow_forwardAn excavation is made with a vertical face in a clay soil which has C_{u} = 50kN /(m ^2) gamma_{1} = 18kN / (m^3) and S_{n} = 0.261. The maximum depth of a stable excavation will be nearly?arrow_forwardProblem- Geotech- The cohesion (c), angle of internal friction () and unit weight (y) of a soil are 15 kPa, 20° and 17.5 kN/m3, respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) isarrow_forward
- A site consists of a 12 m thick saturated clay deposit underlain by bedrock. The clay has ??=20.0????/??3and ????=40????/??2 . If an excavation is to be made at a slope angle ??=25° to a depth of 10.0 m, what would be the factor of safety FSs? What type of failure circle would you expect?arrow_forwardA cut slope is to be excavated in saturated clay with sides rising at an angle a = 55° to the horizontal, as shown below B Saturated Clay Ysat = 115 Ib/ft Unconfined Compressive Strength q,= 1000 Ib/ft? a = 55°, B = 35° H. B A a. The depth H of the excavation for a factor of safety of 1 when considering the trial failure plane AC is ft. b. The depth H of the excavation for a factor of safety of 1 when considering the most critical failure plane is ft.arrow_forwardThe cohesion (c), angle of internal friction (p) and unit weight (y) of a soil are 15 kPa, 20° and 17.5 kN/m³, respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) is Enter Your Answer... Checkarrow_forward
- A cut slope was excavated in sand. The slope is shown in following attachment . To find the properties of the sand, representative samples were taken for the soil and tested in atriaxial apparatus. A consolidated drained triaxial test was conducted. The result is given below:Chamber pressure = 103 kN/m2Deviator stress at failure = 234.6 kN/m2We know the unit weight of the sand is 16 kN/m3.Use the ordinary method of slices (use 7 slices) and estimate the factor of safety against sliding forshown slip surface and comment on the calculated factor of safety.Please note that:1. The figure is not in scale. You may resketch it in scale and calculate the factor of safety2. The slip surface is circular and passes through the toe of the embankmentarrow_forward3. In a large field with a flat surface, an excavation will take place. According to the drilling works, no groundwater was encountered, and a homogeneous cohesionless soil has been found throughout the excavation depth. As a result of the experiments, the internal friction angle of the relevant soil was found to be 24°, and the dry and saturated unit weights were 17 kN/m³ and 19.2 kN/m², respectively. According to the information given, what is the inclination of the steepest slope that can be excavated in the area?arrow_forward9.12 An unsupported excavation is made to the maximum possible depth in a clay 3 soil having Y, = 18 kN/m’, c = 100 kN/ m2, o= 30°. The active earth pressure, according to Rankine's theory, the base level of the excavation isarrow_forward
- Table 5. Adjustment factor for trench production Type of Material Adjustment Factor Loose (sand, gravel, loam) 0.60-0.70 Average (common earth) 0.90-0.95 Firm (firm plastic soils) 0.95-1.00arrow_forwardAn excavation is rapidly made on site as depicted in the Figure below. The soil wedge above the critical slip surface is divided into thirteen slices. Based on the ordinary method of slices, calculate the ratio (R/S) between the Resisting Force (R) and the Driving Force (S) for slice #3, shortly after the excavation is completed. (Acceptable tolerance = 4%). The geometry of slice #3 and the soil properties are provided in the tables below. The height of water at the middle of the slice is hw = 3.0 m. Note that the total weight of the slice is equal to the weight of the saturated soil below the water table plus the weight of the moist soil above the water table. Hint: the weight of slice #3 is 495 kNarrow_forwardA cut slope was excavated in saturated clay for installation of water piping system. The angle Bof cut slope is 45° with the horizontal. During excavation works, slope failure was occurred when the cut reached a depth of 4.0 m. Previous soil explorations showed that a hard layer was located at a depth of 6 m below the ground surface. The unit weight of saturated clay is 17.5 kN/m. (Assuming an undrained condition). 1. a) Determine the undrained cohesion of the clay. b) Determine Factor of Safety (FoS) if the depth of cut slope is 3m. c) What is the maximum depth of saturated clay can be excavated if the Factor of Safety (FoS) 1.4 to be implemented?arrow_forward
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