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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971257
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 17, Problem 17.7P
To determine
Find the average drained friction angle
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The following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the direction of principal planes. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2.
a.
6.77
b.
26.25
c.
57
d.
38.77
The standard penetration test results of a sand deposit at a certain site are
given below in tabular form. The groundwater table in located at a depth
of 2 m below the ground surface. The dry and saturated unit weights of
sand are 17 kN/m³ and 19.0 kN/m', respectively. For an expected
10.8
earthquake magnitude M = 6 and maximum acceleration amax = 0.1 g,
will liquefaction occur?
Depth (m)
NF (blows/30 cm)
1.5
8
3.0
7
4.5
12
6.0
15
7.5
17
9.0
17
During a subsoil exploration program, undisturbed normally consolidated silty
clay samples were collected in Shelby tubes from location A as shown in Figure
below
2 m
G.W.T
Silty sand
e = 0.72; G, = 2.69
2.2 m
3.5 m
Silty clay
w = 22%; G, = 2.72
5.25 m
Poorly graded sand
= 19.8 kN/m³
2.6 m
Ysat
Following are the results of four drained, direct shear tests conducted on the
Chapter 17 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, 9th Edition, [Instant Access], 2 terms (12 months)
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- Refer to Problem 17.7 and Figure 17.16. Suppose a footing (1.5 m 1.5 m) is constructed at a depth of 1 m. a. Estimate the design values for N60 and . b. What is the net allowable load that the footing can carry? The maximum allowable 17.7 settlement is 25 mm. Use Eqs. (16.56) and (16.61). Refer to the boring log shown in Figure 17.16. Estimate the average drained friction angle, , using the Kulhawy and Mayne correlation [Eq. (17.24)]. Assume pa 100 kN/m2. Figure 17.16arrow_forward= A standard penetration test is carried out in sand where the efficiency of the hammer n 50%. If the measured N-value at 7.5 m depth is 20, find Noo and (N₁)60. The unit weight of the sand is = 15 MR = 1 and 18.08 kN/m³. Assume ¹ = 0.95. If you know that: nsarrow_forwardb) A geotechnical laboratory reported these results of five samples taken from a single boring. Determine which are not correctly reported, if any, show your work. Hint:take Yw = 9.81kN/m³ Sample #1:w=30%,Ya = 14.9 kN/m³, Ys = 27 kN/m³, clay Sample #2:w=20%,Ya = 18 kN/m³, Ys = 27 kN/m³, silt Sample #3:w=10%,Ya = 16 kN/m³, Y = 26 kN/m³, sand Sample #4:w=22%,Yd = 17.3 kN/m³, Ys = 28 kN/m³, silt Sample #5:w=22%,Yd = 18 kN/m³, Ys = 27 kN/m³, siltarrow_forward
- 2. A cut slope was excavated in sand. The slope is shown in following figure. 18m 5 m 14m 30° To find the properties of the sand, representative samples were taken for the soil and tested in a triaxial apparatus. A consolidated drained triaxial test was conducted. The result is given below: Chamber pressure = 103 kN/m? Deviator stress at failure = 234.6 kN/m? We know the unit weight of the sand is 16 kN/m?. Use the ordinary method of slices (use 7 slices) and estimate the factor of safety against sliding for shown 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 safety 2. The slip surface is circular and passes through the toe of the embankmentarrow_forwardFollowing is the variation of the field standard penetration number (N60) in a sand deposit: The groundwater table is located at a depth of 6 m. Given: the dry unit weight of sand from 0 to a depth of 6 m is 18 kN/m3, and the saturated unit weight of sand for depth 6 to 12 m is 20.2 kN/m3. Use the relationship given in Eq. (3.13) to calculate the corrected penetration numbers.arrow_forwardA standard penetration test is carried out in sand where the efficiency of the hammer nH =70%. If the measured N-value at 30 ft depth is 24, find N60 and (N1)60. The unit weight of the sand is 115.0 lb/ft3. Assume nB = nS = nR =1.arrow_forward
- Site investigation is to be made for a structure 100m length x 60m width. The soil profile is shown. If the structure is subjected to 200kPa, what is the approximate depth of the borehole? Assume unit weight of water = 9.8 kN/m^3. D =140arrow_forwardA cone penetration test result of a deposit of normally consolidated dry sand are given below. Estimate the drained friction angle of the sand using Kulhawy and Mayne's equation. The unit weight of the sand is 100 pcf. Depth ft 5.0 10.0 15.0 20.0 25.0 30.0 45 38 42 40 Tip resistance of cone, qc psi 300 600 800 1200 1400 1800arrow_forwardQ1 The lower sand layer in the soil profile shown below is in an artesian condition. Calculate: 2 a) The effective stress () at the top and base of the clay layer. b) The height of water in the piezometer for = 0 at the base of the clay layer. > c) The maximum depth (Z) of the proposed excavation (Figure Q1 (b)). (Assume Z>2 m). 2.0 m 2.0 m 4.0 m Sand Tary' Ground water table Sand Clay Sand 4.0 m - 16.6 kN/m³ Ys20.6 kN/m³ You 20.6 kN/m² You 20.5 kN/m³ Figure Q1 (a) Sand Clay Sand Z Figure Q1 (b) W.T.arrow_forward
- Q1 The lower sand layer in the soil profile shown below is in an artesian condition. Calculate: 2 a) The effective stress () at the top and base of the clay layer. 2b) The height of water in the piezometer for 5 = 0 at the base of the clay layer. > c) The maximum depth (Z) of the proposed excavation (Figure Q1 (b)). (Assume Z>2 m). 4.0 m 2.0m Yary 16.6 kN/in³ Sand Ground water table Z Y.. W.T. Sand 2.0 m Sand Ysa 20.6 kN/m³ 4.0 m Year 20.6 kN/m³ Clay R Sand Ysar=20.5 kN/m³ Figure Q1 (b) Clay Sand Figure Q1 (a)arrow_forwardAn oil tank, 20 m in diameter, is built over a site shown below. A specimen of clay in this site (20 mm thickness) double drained was to be tested in an oedometer apparatus, the time required to reach 60% degree of consolidation is 15 minutes. Estimate the differential settlement between the center and perimeter of the tank after 1 year after building the tank. 20 m Oil Tank = 9.4 KN/m Zo.W.I Y = 18 KN/m Kup. Y = 20 KN/m Sand aat G= 27 Clay %w = 20% Р, 3 120 Кра C = 0.2 , C, = 0.04 Rock 3 m 3m 10 marrow_forward2. SPT test was performed at a shallow site composed of uniform granular soil with a unit weight = 20 kN/m³ (shown below are N60). a) Convert to (N1)60. b) Estimate the range of friction angles at depths between 20 and 40 ft. Use various correlations. Compare the differences. SPT N-values (bpf) 10 20 30 40 50 10 Silty Sand (SM): Piedmont Residuum 30 40 50 60 Depth (feet)arrow_forward
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