Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 5, Problem 5.6P
To determine
Find the gross allowable load carried by the foundation.
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H.W 2.pdf >
H.Q 6
A flexible foundation measuring 1.5 m x 3 m is supported by a
saturated clay. Given: Dr = 1.2 m, H = 3 m, Es (clay)= 600 kN/m2, and qo
= 150 kN/m?. Determine the average elastic settlement of the
foundation.
H.O 7
Figure 7.3 shows a foundation of 10 ft x 6.25 ft resting on a sand
deposit. The net load per unit area at the level of the foundation, qo, is
3000 Ib/ft?. For the sand, u, = 0.3, Es = 3200 Ib/in?, Df = 2.5 ft, and H
= 32 ft. Assume that the foundation is rigid and determine the elastic
settlement the foundation would undergo.
H.O 8
Determine the net ultimate bearing capacity of mat foundations with
the following characteristics:
c, = 2500 Ib/ft, = 0, B = 20 ft, L = 30 ft, D, = 6.2 ft
Foundation Engineering I
H.W 2
H.O 9
A 20-m-long concrete pile is shown in Figure below. Estimate the
ultimate point load Q, by
a. Meyerhof's method
b. Coyle and Castello's method
Concrete pile
460 mm x 460 mm
Loose sand
20m
y I86 ANi
Dee s
H.O 10
A concrete pile 20 m long…
10. A flexible foundation is subjected to a uniformly distributed load of q-500 kN/m². Table 3
could be useful. Determine the increase in vertical stress, in kPa, Aoz at a depth of z=3m under
point F.
B
4m
3m
6m
E
10m
Table 10.3 Variation of I, with m and n
m
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0.1
0.0047 0.0092
0.0270
0.0279
0.2
0.0132
0.0092 0.0179 0.0259
0.0132 0.0259 0.0374
0.0222 0.0242
0.0435 0.0474
0.0629 0.0686
0.0258
0.0504 0.0528
0.0547
0.3
0.0731 0.0766
0.0794
0.4
0.1013
0.5
0.0198 0.0387
0.1202
0.6 0.0222 0.0435
0.7 0.0242 0.0474
0.0947 0.1069 0.1168
0.1247 0.1311
0.1361
0.1365 0.1436
0.1491
0.1537
0.1598
0.0168 0.0198
0.0328 0.0387
0.0474 0.0559
0.0168 0.0328 0.0474 0.0602 0.0711 0.0801 0.0873 0.0931 0.0977
0.0559 0.0711 0.0840 0.0947 0.1034 0.1104 0.1158
0.0629 0.0801
0.0686 0.0873 0.1034
0.8 0.0258 0.0504 0.0731 0.0931 0.1104
0.9 0.0270 0.0528 0.0766 0.0977 0.1158
0.0794 0.1013 0.1202
0.0832
0.1263
1.4
0.1300
1.6 0.0306 0.0599 0.0871 0.1114 0.1324
1.8 0.0309 0.0606…
A foundation (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit.
a. Evaluate increases of vertical stresses points A, B, and C at the depth of 2m and Sm (2
points)
b. At what depth is the increase in vertical stress below A less than 10% of the surface
stress?
6 m
+2 m-
A
2 m
-4 m-
Figure 1: Plan of foundation
Chapter 5 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Consider the case of a continuous foundation with B = 2 m, Dr = 2.0 m, and H=2.0 m. The following are given for the two soil layers: = 32° Top sand layer (stronger layer): Unit weight y₁ = 17.5 kN/m³, 1= 32°, C'₁ = 0 Bottom clay layer (weaker layer): Unit weight y2 = 16.5 kN/m³, 2= 0, Cu (2) = 25 kPa, Determine the gross ultimate load per unit length of the foundation. Ne N₁ Ny 35.49 23.18 30.22arrow_forwardPlease solve this question. Q. No. 1: A foundation 4x4 m is located at a depth of 1 m in a layer of saturated clay 13 m thick. Characteristic Parameters for the clay are cu=100 kN/m2, u=0, c'=0, '=32o, Cc=0.36, eo=0.784, NCC, sat=21 kN/m3. Determine the design load of the foundation to ensure (a) a factor of safety with respect to shear failure of 3 using the traditional method, (b) consolidation settlement does not exceed 30 mm.arrow_forwardA square foundation is shown in Figure 4.30, with e = 0.3 m and eg = 0.15 m. Assume two-way eccentricity, and determine the ultimate load, Q %3D Sảnd 18 kN/m 30 1.5 m x 1.5 m R= 0.15 m 15 m EL 0.3 m Figure 4.30 An eccentrically loaded foundation 1.5 marrow_forward
- PROBLEMS 8.1 Refer to Figure 8.3. For a flexible load area, given: B= 3 m, L=4.6m, q= 180KN/m², D; =2m, H = 00, v= 0.3, and E = 8500KN/m³. Estimate the elastic settlement at the center of the loaded area. Use Eq. (8.14). %3D Foundation B×L Rigid :foundation Flexible foundation H settlement settlement v = Poisson's ratio E = Modulus of elasticity Soil Rock Figure 8.3 Elastic settlement of flexible and rigid foundations. (8.14)arrow_forwardA rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 1. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2m; L= 3m; Df=1.5m; H = 4m; Es = 13,500 kN/m²; and µs = 0.4. P Foundation Ao. B× L Soil µ = Poisson's ratio E, modulus of elasticity: H Rockarrow_forwardProblem (4.10): The foundation plan shown in the figure below is subjected to a uniform contact pressure of 40 kN/m². Determine the vertical stress increment due to the foundation load at (5m) depth below the point (x). →|1.5m + 1.5m 2m 3 0.5m 2m + 3m 3m 3marrow_forward
- A rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 11.43. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2 m; L = 3 m; D; = 1.5 m; H = 4 m; E, 13,500 kN/m²; and u, = 0.4. Foundation Ao. B×L Soil %3D Poisson's ratio E, - modulus of elasticity Rockarrow_forwardProblem (4.10): The foundation plan shown in the figure below is subjected to a uniform contact pressure of 40 kN/m2. Determine the vertical stress increment due to the foundation load at (5m) depth below the point (x). 1.5m + 1.5mk 2m 0.5m X 2m 3m * 3m - 3marrow_forwardQuestion 1) For a shallow foundation measuring (1.7 m x 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, Use yw=10 kN/m³ qnet= 1.2 MN/m2 G.S 1.5 m Sand Yd=16 kN/m³ Ysat= 17 kN/m3 %3D 2.5 m N60=52 V W.T. Silty Sand Ya=18 kN/m³ Ysat = 18.5 kN/m? N60=52 3.5 m Sand Ya=19 kN/m3 Ysat = 22 kN/m³ e, = 0.4, Ae=0.04 , o'= 194 kN/m2 5 m Cc= 0.3, Cs= 0.2 , Ca= 0.05 N60=60 CS Scanned with CamScannerarrow_forward
- A 8 m layer of sand, of saturated unit weight 22 kN/m3, overlies a 6 m layer of clay, of saturated unit weight 27 kN/m3. A foundation carrying 1200 KN load is to be founded on the soil layer. If the clay is normally consolidated and the increase in effective pressure due to the foundation load at the center of clay is 27 kN/m2, Soil parameters are Cc = 0.25, eo = 1.0. Assume required data •Draw the soil profile diagram in detail, mentioning all the soil properties with the foundation details. •Calculate the consolidation settlement at the center of the clay layer.arrow_forwardRefer to Figure 5.12. For a rectangular foundation on layered sand, given:●● B = 4 ft, L = 6 ft, H = 2 ft, Df = 3 ft●● γ1 = 98 lb/ft3, Φ'1 = 30º, c'1 = 0●● γ2 = 108 lb/ft3, Φ'2 = 38º, c'2 = 0Using a factor of safety of 4, determine the gross allowable load the foundation can carry.arrow_forward= Figure 2 shows a rectangular shallow foundation. The foundation measures 1.5 m x3 m (B x L) in plan. The clay layer is normally consolidated with: Ce=0.27; He 3 m; e 0.92; average effective stress on the clay layer due to applied foundation load Ao=24 kN/m². Determine the primary consolidation settlement of the foundation. Sand Y = 16.5 kN/m³ Sand Yat 17.8 kN/m³ Normally consolidated clay Ysat 18.2 kN/m³ = 0.92; C = 0.27 170 kN/m² 1m 1.5 m Ground water table --- --- 15 m 3 marrow_forward
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