Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 17, Problem 17.5P
To determine
Find the variation of relative density with depth using the correlation developed by Cubrinovski and Ishihara.
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A 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.
In a deposit of normally consolidated dry sand a cone penetration test was conducted. Following are the result:
Depth(m)
Point resistance of cone, qc (MN/m²)
1.5
2.06
3.0
4.23
4.5
6.01
6.0
8.18
7.5
9.97
9.0
12.42
Assuming the dry unit weight of sand to be 16kN/m³, estimale the average peak friction angle, ф’, fo the sand. Use ф’=tan ¯1((0.38+0.27log(qc/ σ’o))
In a standard penetration test in sands, the blow count measured at 14 m depth was 26. An
automatic hammer released by a trip with an efficiency of 70% was used in the test. The unit
weight of sand is 17.5 kN/m³. Determine:
(a)
N60
(N1) 60 using Peck, Hanson, and Thornburn (1974) correlation with Pa = 100 kPa.
The most likely value of the friction angle (not the range).
The possible range of relative density per Peck et al. (1974)
The Young's Modulus.
The table below presents two correlations proposed for estimating Young's Modulus.
kg
Leonards (1986)
E
.cm²
E (kPa):
= 8N60
=
aPa (kPa)N60 Kulhawy & Mayne (1990)
In the table a = 5 for fine sands, 10 for clean normally consolidated sands, and 15 for clean
over consolidated sands.
If a specific method is not specified, you may use any possible correlations. While doing so,
you must clearly indicate which correlation was used.
Chapter 17 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- A direct shear test, when conducted on a remolded sample of sand, gave the following observations at the time of failure: Normal load = 288 N shear load = 173 N. The cross sectional area of the sample = 36 cm.sq. 1. Determine the angle of internal friction. (Select] 2. The magnitude of the major principal stress in the zone of failure. [Select] 3. Determine the magnitude of the deviator stress if a sample of the same sand with the same void ratio as given above was tested in a tri-axial apparatus with a confining pressure of 60 kPa. ( Select ]arrow_forwardFollowing are the results of a standard penetration test in sand. Determine the corrected standard penetration number, (N1)60, at various depths. Note that the water table was not observed within a depth of 10.5 m below the ground surface. Assume that the average unit weight of sand is 17.3 kN/m3. Depth (m) N60 1.5 8 3.0 7 4.6 12 6.0 14 7.5 13arrow_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_forward
- A standard penetration test was carried out in a normallyconsolidated sand at 25 ft depth where the N60 was determinedto be 28. The unit weight of the sand is 110 lb/ft3, andthe grain-size distribution suggests that D50 5 1.2 mm andCu 5 3.2. The age of the soil since deposition is approximately5000 years. Determine the relative density using thedifferent correlations discussed in Section 3.15arrow_forwardGeotechnical Engineering The following are the results of a standard penetration test in sand. Estimate the soil friction angle at the 3.0 meter depths given N60 =7 . Note that the water table was not observed within a depth of 12 m below the ground surface. Assume that the average unit weight of sand is 15.5 kN/m3 and Pa = 100 kN/m2. a. 44.6 b. 37.6 c. 38.9 d. 34.4arrow_forwardSolve this problem graphically and then analytically. A CU triaxial test was performed on a dense sand specimen at a confining pressure 03=40 kPa. The consolidated undrained friction angle of the sand is =39°, and the effective friction angle is d'=34°. Calculate: (a) the major principal stress at failure, o1, (b) the minor and the major effective principal stresses at failure, o'3f and oʻır, and (c) the excess pore water pressure at failure, (Aua)f.arrow_forward
- A dilatometer test was conducted in a sand deposit ata depth of 6 m. The groundwater table was located at a depth of 2 m below the ground surface. Given, for the sand: 3.29 - 14.5 kN/m3 and Yat 19.8 kN/m3. The contact stress during the test was 260 kN/m2. Estimate the soil friction angle, ф".arrow_forwardThe following are the results of a standard penetration test in sand. Determine the corrected standard penetration numbers, (N,), at the various depths given. Note that the water table was not observed within a depth of 12 m below the ground surface. Assume that the average unit weight of sand is 15.5 kN/m³. Depth (m) 1.5 8 3 7 4.5 12 14 7.5 13arrow_forwardQ11: A silty sand of density index (ID or Dr) = 59% was subjected to standard penetration tests at a depth of 3 m. Groundwater level occurred at a depth of 1.5 m below the surface of the soil which was saturated throughout and had a unit weight of 19.3 kN/m³. The average N count was 15. During calibration of the test equipment, the energy applied to the top of the driving rods was measured as 350 Joules. Determine the (N₁) 60 value for the soil.arrow_forward
- Question A sample of dry sand was tested in direct shear test apparatus under a normal load of 72 kg. The shear load required to fail the sample was found to be 36 kg. The angle of internal friction () will be:arrow_forwardThe 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 17arrow_forwardA direct shear test, when conducted on a remolded sample of sand, gave the following observations at the time of failure: Normal load = 288 N; shear load = 173 N. The cross-sectional area of the sample = 36 cm2. Determine the angle of internal friction in degrees. a. 29 b. 27 c. 33 d. 31arrow_forward
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