Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 13, Problem 13.16P
(a)
To determine
Find the maximum depth up to which the excavation can be carried out.
(b)
To determine
Find the radius, r of the critical circle when the factor of safety equals to 1.
(c)
To determine
Find the distance
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An excavation is made with a vertical face in
a clay soil which has C = 50 KN/m2, y = 18
KN/m³. The maximum depth of excavation
so that the excavation is stable if S = 0.261
n
for = 90⁰
4. A cut is to be made in a soil having γ = 18 kN/m3, c = 40 kPa, and φ = 15°. The cut slope makes an angle of 30°.
a. If H = 6 m and θ = 15°, find the force that tend to cause sliding.b. Find the frictional force.c. Find the cohesive force.d. Find the factor of safety.e. For a factor of safety of 2.0, find the value of the critical angle along which the maximum developed cohesion occurs.
f. Determine the depth of cut for a factor of safety of 2.0g. Determine the developed shear stress along the failure plane
h. Determine the developed normal stress alongthe failure plane.
A canal is excavated to a depth of 4 m below
ground level in a soil having C = 15 kN/m²,
= 18°, Ysat = 20 kN/m³. The side slopes of
the canal is 45°. Take Yw = 10 kN/m³.
Taylor's stability number method is used to
determine the factor of safety of the slope.
The stability number (Sn) is given below.
For = 18°, S₁ = 0.075
For
9⁰, Sn = 0.125
If the canal is suddenly emptied, the factor
of safety of the slope 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
Knowledge Booster
Similar questions
- A 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_forwardA 45 ° slope as shown in figure has been excavated to a depth of 6 m in a saturated clay having the following properties: C₁ = 50 kN/m² ₂ 0 = 0 and y = 19 kN/m²³ Determine the factor of safety. [Take area of wedge 39 m²] ok 3.4 m f 2.65 m 6m 45° 90° = 9marrow_forwardA 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.arrow_forward
- 1: An embankment is to be constructed by making use of sandy clay having the following properties: c' = 35 kN/m², o' = 25° and y= 19.5 kN/m³. The height of the embankment is 20 m with a slope of 30° with the horizontal as shown in below Figure. Estimate the factor of safety by the method of slices for the trial circle shown in the figure. 20 m 77 ww 25° A 30° 35° c'= 35 kN/m² p' = 25° y = 19.5 kN/m³ 25 marrow_forward2. A cut is to be made in a soil that has γ = 17 kN/m3, c = 40 kPa, φ = 20°. The side of the cut slope will make an angle of 25° with the horizontal. Using a factor of safety of 2.0. a. Determine the stability number. b. Determine the stability factor. c. Determine the depth of the cut slope.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
- 16. The side slope of the section is 2.5:1. Determine the value of x. 25 a) 7.5 m c) 10 m 17. Determine y in item 16. a) 7.5 m c) 10 m 18. The borrow pit divided into grids is to be excavated into depths indicated as a source for embankment materials. Determine the volume of b) 13.5 m d) 12 m b) 13.5 m d) 12 m materials to be excavated. A(24.8) B(22.3) C/20 2) 20 20 20 D(21.5) E(19.3) F(21.9) 20 3) G(19 2) H(16.3) I(17.9) GRID SHOWNG THE HEIGHTS OF EXCAVATION a) 487300 m c) 320330 m b) 33230 m d) 32330 m?arrow_forwardAn 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_forward1. A vertical cut is made through a homogeneous soil mass (c=20 kPa,ϕ=20°,γ=16.50 ?? ?3 ⁄ ). Estimate thesafe depth of the cut, taking a factor of safety of 2 using Culmann’s methodarrow_forward
- A cutting of 12 m depth is to be made for a road as shown in below figure. The soil properties are: c'=24 kN/m, o'= 15°, and y= 18 kN/m. Estimate the factor of safety by the method of slices for the trial circle shown in the figure. 7.5 m R=24 m E 75m - 12 m Trial circle -arrow_forwardA cross-section of a channel is given in Figure 3. Determine the long-term stability of the bankusing the Fellenius, and Bishop's method of slices. Note: In this type of problems, it is usually assumed that the clay above the water table(phreatic line) is fully saturated; therefore, ysat is used. R=25.6m 1c.4m Soil @ 9 3m 8-19 B k c'-197 kH/m2 13 7m 3.2 g 59tm Soile 8: 19.8kNl, c 2.67KN/ 33° BEDROCK I1.46 m to 1786m IB.6 m Figure 3arrow_forwardThe 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.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning