Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305723351
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 3, Problem 3.20P
To determine
Find the variation of relative density with depth using Eq. (3.51).
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Solve 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.
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.
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 ]
Chapter 3 Solutions
Principles of Foundation Engineering, SI Edition
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Refer to Figure P3.3. Use Eqs. (3.10) and (3.11)...Ch. 3 - Prob. 3.4PCh. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Following are the standard penetration numbers...Ch. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27P
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- 3. Following are the results of a standard penetration test in fine dry sand. N60 Depth (m) 1.5 7 13 3.0 18 4.5 22 6.0 7.5 24 For, the sand deposit, assume the mean grain size, D50, to be 0.26 mm and the unit weight of sand to be 15.5kN/m3. Estimate the variation of relative density with depth using the correlation developed by Cubrinovski and Ishihara. Assume pas100kN/m2. denined frictionarrow_forwardIn 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))arrow_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 minor principal stress in kPa.arrow_forward
- Question 42 The results of two consolidated-drained test triaxial tests on a clay are given below: Specimen No. Chamber Pressure Deviator Stress 105 220 210 400 1. Determine the angle of internal friction. 2. Determine the cohesion of the clay. 3. Determine the normal stress on the point on the failure plane of the 2nd specimen. Question 1: A. 26.744 O Question 1: B. 26.042 Question 1: C. 27.871 O Question 1: D. 27.486 Question 2: A. 10.737 O Question 2: B. 12.141 Question 2: C. 17.372 Question 2: D. 14.836 Question 3: A. 317.694 O Question 3: B. 232.575 Question 3: C. 230.306 O Question 3: D. 322.194arrow_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 minor principal stress in kPa. Show diagramarrow_forwardQ # 4. The following are the results of four drained direct shear tests on undisturbed normally consolidated clay samples having a diameter of 50 mm. and height of 25 mm. Test No. Normal Force (N) Shear Force at Failure (N) 1 67 23.3 133 46.6 213 44.6 4 369 132.3 Draw a graph for shear stress at failure against the normal stress and determine the drained angle of friction from the graph. (Note: Use excel for calculation and drawing the graph).arrow_forward
- A sample of saturated clay, taken from a depth of 5 m, was tested in a conventional oedometer. The table below gives the vertical effective stress and the corresponding thickness recorded during the test. The water content at the end of the test was 40% and the initial height was 20 mm.(a) Plot a graph of void ratio versus ??′(log scale).(b) Determine ?? and ??.(c) Determine ?? between ??′ = 400 kPa and ??′ = 500 kPa. (d) Determine ???′ using Casagrande’s method.arrow_forwardQuestion 3 The results of two consolidated-drained test triaxial tests on a clay are given below: Specimen No. Chamber Pressure Deviator Stress 220 400 105 II 210 1. Determine the angle of internal friction. 2. Determine the cohesion of the clay. 3. Determine the normal stress on the point on the failure plane of the 2"d specimen. O Question 1: A. 26.744 O Question 1: B. 26.042 O Question 1: C. 27.871 O Question 1: D. 27.486 O Question 2: A. 10.737 O Question 2: B. 12.141 O Question 2: C. 17.372 O Question 2: D. 14.836 O Question 3: A. 317.694 O Question 3: B. 232.575 O Question 3: C. 230.306 O Question 3: D. 322.194 O O O O O O O COarrow_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 minor principal stress in kPa. Pls include fbd.arrow_forward
- Stress, kPa 8. Following data are given for a direct shear test conducted on dry sand: Dimension of the cylindrical specimen: diameter = 71 mm; height = 25 mm; Normal stress 250 kN/m²; shear force at failure: 560 N. Complete the following a) What is the orientation of the failure plane in the specimen? b) Determine the effective stress angle of friction.arrow_forwardhe following results were obtained from a direct shear test conducted on pure sand: Sample height and diameter = 30 mm and 75 mm respectively. Normal stress = 100 kN/m2 Shear force at failure = 185 N a) Determine the angle of friction for the soil. Round off to one decimal i.e. 99.5! b) What would be the shear force (in N) at failure if the normal stress is 175 kN/m2? Round off to the nearest figure i.e. 300.55 to 301! c) What would be the principal stress at failure? Consider a and barrow_forward6 A consolidated-undrained tri-axial test was conducted on a normally consolidated clay sample and the results are as follows: Chamber confining pressure = 115 kPa, Deviator stress at failure = 87 kPa, Pore Water Pressure = 56 kPa. These results were used to determine the drained friction angle of the soil. Compute the deviator stress (kPa) at failure when the drained test was conducted with the chamber confining pressure changed to 159 kPa. Round off to two decimal places.arrow_forward
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