Principles of Foundation Engineering, SI Edition
9th Edition
ISBN: 9781337672085
Author: Das, Braja M., SIVAKUGAN, Nagaratnam
Publisher: Cengage Learning
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Chapter 10, Problem 10.9P
A plate loading test was carried out on a medium dense sand, using a 1 ft wide square plate, and k1 was determined as 350 lb/in3. Determine the coefficient of subgrade reaction for a 7.5 ft wide square foundation and a 7.5 ft × 10.5 ft rectangular foundation.
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Question 3
a)
In a geotechnical laboratory an oedometer test on a saturated clay soil was conducted.
The results in the laboratory report stated that the Ce= 0.2, C, -0.04 and OCR = 4.5.
The existing vertical effective stress in the field was 130 kPa. A shallow foundation
was designed to construct above the soil condition. This will increase the vertical
stress at the center of the clay by 50 kPa. The thickness of the clay layer is 2 m and
its water content is 28%. Solve the primary consolidation settlement and determine
the difference in the settlement if OCR value were 1.5 instead 4.5.
Question 1) For a shallow foundation measuring (1.7 m × 2.2 m) as shown below: ,
A. Estimate the elastic settlement proposed by Mayerhof. Then,
B. Estimate the elastic settlement proposed by Bowles, if the water table rises 1.5 m. Then,
C. Estimate the primary consolidation settlement; when the bottom sandy layer is replacing
with a 5 m thickness of a clay layer. Noting that, the properties of the clay are the same
for the bottom sandy soil. Use Yw=10 kN/m³
qnet= 1.2 MN/m?
G.S
1.5 m
Sand
Y=16 kN/m³ Ysat = 17 kN/m³
2.5 m
Neo=52
yW.T.
Silty Sand Ya=18 kN/m² Ysat = 18.5 kN/m?
Ngo=52
3.5 m
Sand
Ya=19 kN/m³ Ysat = 22 kN/m?
e, = 0.4 , Ae=0.04 ,o'=194 kN/m²
5 m
Cc= 0.3, Cs= 0.2, Ca= 0.05 Neo=60
75% consolidation in a laboratory test?
11.21 Refer to Figure 11.48. A square foundation, 2.5 × 2.5 m in size, supports a col-
umn load of 478 kN. The soil characteristics are given in the figure. Field moni-
toring indicated that the foundation settlement was 46 mm at the end of 2 years
a. Estimate the average stress increase in the clay layer due to the applied load.
b. Estimate the primary consolidation settlement.
c. What is the degree of consolidation after 2 years?
d. Estimate the coefficient of consolidation for the pressure range.
e. Estimate the settlement in 3 years.
478 kN
2.5 m x 2.5 m
1.5 m
Y = 16 kN/m
GWT
1.75 m
Yu = 18.8 kN/m³
w = 19%
G, = 2.71
LL = 37
3.5 m
o = 65 kN/m?
C,= 1/SC.
%3D
O Sand A Clay
Figure 11.48
Chapter 10 Solutions
Principles of Foundation Engineering, SI Edition
Ch. 10 - Refer to the rectangular combined footing in...Ch. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - A plate loading test was carried out on a medium...Ch. 10 - A 300 mm 450 mm plate was used in carrying out a...
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- A 300 mm 450 mm plate was used in carrying out a plate loading test in a sand, during which the plate settled 5 mm under the applied pressure of 250 kN/m2. a. What is the coefficient of subgrade reaction for a 300 mm wide square plate? b. What would be the coefficient of subgrade reaction of a 2 m 3 m foundation?arrow_forwardA 100'x50' mat foundation (also called slab-on-grade) will be placed at the site shown in Figure 1. Calculations show that the foundation will cause an average increase in vertical stress in the clay layer of (a) 850 psf under the foundation center, and (b) 350 psf under the foundation corner. Find the foundation settlement due to the consolidation of the clay layer both at the foundation center and the foundation corner. Can the resultant differential settlement be considered tolerable? Sand Clay Bedrock 2.5 ft 5 ft 5 ft 7-100pcf 122.5pcf, eo=1, op=1000psf Cc-0.5, Cs-C-0.1 Figure 1.arrow_forwardKINDLY GET THE REAL ANSWER WITH EXPLAIN STEP Given that B =1 m, L = 3 m, and Q = 110 kN, the soil characteristics given in the figure are Cs = 1/5 Cc, Ꝺ’c= 40 kN/m2. Field monitoring indicated that the foundation settlement was 19 mm during the first 12 months. Estimate the average stress increase in the clay layer due to the applied load. Estimate the primary consolidation settlement. What is the degree of consolidation after 12 months? Estimate the coefficient of consolidation for the pressure range. Estimate the settlement in 24 months.arrow_forward
- A square foundation, 2.5x2.5m in size, supports a column load of 478 kN. The soil characteristics are given in the following figure. Field monitoring indicated that the foundation settlement was 46mm at the end of 2 years. (a) Estimate the average stress increase in the clay layer due to the applied load. (b) Estimate the primary consolidation settlement. (c) What is the degree of consolidation after 2 years? (d) Estimate the coefficient of consolidation for the pressure range. (e) Estimate the settlement in 3 years.arrow_forwardQ1/ The results of a load test carried out on a plate of size 30 cm x 30 cm are given in Table below. The load test was carried out at a depth of 2.5 m, below ground surface. The soil profile is fairly homogeneous sand at the site. From the test results: a. determine the settlement of an actual foundation of size 2.5 m x 2.5 m carrying a total load of 155 ton and located at a depth of 2.5 m below the ground surface. b. What is the bearing capacity of foundation if the settlement of plate 12.6 mm. Load intensity 0.496 0.992 1.488 1.984 2.48 2.976 3.472 3.968 4.464 496 kg/em Settlement, 0.5 1.0 1.8 2.75 4.4 5.4 9.8 12.5 17.0 28.7 mmarrow_forwardQ1/ The results of a load test carried out on a plate of size 30 cm x 30 cm are given in Table below. The load test was carried out at a depth of 2.5 m, below ground surface. The soil profile is fairly homogeneous sand at the site. From the test results: a. determine the settlement of an actual foundation of size 2.5 m x 2.5 m carrying a total load of 155 ton and located at a depth of 2.5 m below the ground surface. b. What is the bearing capacity of foundation if the settlement of plate 12.6 mm. * Load intensity 0.496 0.992 1.488 1.984 2.48 2976 3.472 3.968 4.464 496 kg/cm² Settlement, 0.5 1.0 1.8 2.75 44 54 9.8 125 17.0 28.7 mmarrow_forward
- From the plate load test (plate dimensions 1 ft × 1 ft) in the field, the coefficient of subgrade reaction of a sandy soil is determined to be 60 lb/in3. What will be the value of the coefficient of subgrade reaction on the same soil for a foundation with dimensions of 20 ft × 20 ft?arrow_forwardThe figure below shows a proposed foundation site, with 10 ft of sand overlying 20 ft of clay with consolidation properties shown. The clay is normally consolidated. Assume 1-D conditions.a. Compute the initial σ′v at the middle of the clay layer prior to excavation and constructionb. After excavation and during construction, the foundation area will be heavily loaded with the structure and equipment so that σ′v at the middle of the clay layer will be increased to 3900 psf. Determine the settlement that will occur under these conditionsc. After construction is completed, the equipment will be removed and the final σ′v at the middle of the clay layer will be 3200 psf. Compute the swell that occurs after the equipment is removedarrow_forward1) A 30-ft x 30-ft square mat foundation will be constructed at ground surface. The subsoil profile is shown in the figure. The average stress increase due to mat foundation in clay layer is 360 psf. The primary consolidation settlement (in.) of the clay layer directly below the center of the mat is most nearly: a. 0.2 b. 1.0 c. 21 d. 3.6 ORIGINAL GROUND SURFACE BLEV t a. 3.9 b. 3.3 C. 4.8 d. 4.4 wwwwwwww ELEV-St THE WE ELEV-13 SAND yo 115 pdf ELEV-23 MIAT FOUNDATION GROUNDWATER TABLE SAND = S + 4 MIN NORMALLY CONSOLIDATED CLAY SATURATED COMPRESS VOD RATIO=12 308 **** NOT TO SCALE 2) Assume that the primary consolidation in the previous question is 5 in. what is the primary consolidation (in.) taking into account the three-dimensional effect. (A = 0.6).arrow_forward
- Please try to solve in 1 hourarrow_forwardthis is complete question. nothing is missingarrow_forwardEstimate the ultimate consolidation settlement under the centerline of a 25 x 25 meter mat foundation. The mat is 1.5 meter thick reinforced concrete (ϒconcrete = 23.6 kN / m3), and the average stress on the surface of the slab is 125 kPa. The soil profile is shown in the figure below. Lab testing on samples of the clay showed that the clay is normally consolidated and that Cc = 0.40, Cr = 0.03, and eo = 1.13. Neglect any settlements due to the sand layer. Divide the clay layer into four thinner layers of thickness 2.0, 2.0, 3.0, and 3.0 meters.arrow_forward
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