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 5.8P
To determine
Find the net allowable load supported by the foundation.
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A 2-m diameter flexible foundation applies a uniform pres-
sure to the underlying soil of 200 kN/m. Plot the varia-
tion of the vertical stress increase below the center of the
foundation as determined using both the Boussinesq (Aop)
and Westergaard (Aow) solutions up to a depth of z = 5 m.
(Note: p, 0.2.)
8.14
9.10 A continuous foundation on a deposit of sand layer is shown in
Figure P9.10 along with the variation of the cone penetration
1.5 m
Sand
FIGURE P9.10
2.5 m
0
2
∞
14
9 = 195 kN/m²
I
I
Depth (m)
9c=1750
9c = 3450
9c = 2900
qe (kN/m²)
A rectangular foundation of 4m x 6m (as shown in Figure 4) transmits a stress of 150 kPa
on the surface of a soil deposit. Plot the distribution of induced vertical stresses with depth under
points A (the centre of the rectangle), B and C up at the depth of 3 m.
4m
6m
А
2m
C
2m
Figure 4
Chapter 5 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Example 5.7 Consider a rectangular foundation 2 mx 4 m in plan at a depth of 1.2 m in a sand deposit, as shown in Figure 5.23a. Given: y = 17.5 kN/m³; ā = 145 kN/m², and the following approximated variation of qc with z: 1.2 m q=145 kN/m² ++++y=17.5 kN/m³ z (m) 9c (kN/m²) B=2m- 0-0.5 2250 L=4 m 0.5-2.5 3430 2.5-5.0 2950 Estimate the elastic settlement of the foundation using the strain influence factor method.arrow_forwardProblem 1. A column foundation (Figure below) is 3 m × 2 m in plan. The load on the column, including the weight of the foundation is 4500 kN. Determin the average vertical stress increase 4 m beneath the corner of the foundation in the soil layer due to the foundation loading by: a) Boussinesq equations b) 2:1 method Given: Df = 1.5 m, Ø'= 25°, c'= 70 kN/m². 1.5 m 1 m 3m x 2m y = 17 kN/m³ Water level Ysat 19.5 kN/m³arrow_forwardA square column foundation is to be constructed on a sand deposit (C = 0). The allowable load Q will be inclined at an angle b Ø = 20° with the vertical. Knowing that y = 16.5 KN/ m3 and Df = 1 m. The standard Penetration numbers N60 obtained from the field are as follows. Determine value of Q ? Depth (m) N60 1.5 3 3.0 6 4.5 6.0 10 7.5 10 B- 1.25 m- Select one: a. 110 KN O b. 151.7 KN c. 95 KN d. 155.3 KNarrow_forward
- |A rigid shallow foundation 1m x 1m in plan is shown in the following figure. Calculate the elastic settlement at the center and corner of the foundation. Ao = 200 kN/m2 1 m 1 m X 1 m E, (kN/m?) + 8000 Hy = 0.3 + 6000 3 10,000 Rock (m).arrow_forward7.14 Refer to Figure 7.15. For a foundation on a layer of sand, given: B = 5 ft, L = 10 ft, d = 5 ft, B = 26.6°, e = 0.5 ft, and & = 10°. The Pressuremeter testing at the site pro- duced a mean Pressuremeter curve for which the pam) versus AR/R, points are as follow. AR/R. (1) P,(m) (lb/in.?) (2) 0.002 7.2 0.004 24.2 0.008 32.6 0.012 42.4 0.024 68.9 0.05 126.1 0.08 177.65 0.1 210.5 0.2 369.6 What should be the magnitude of Q, for a settlement (center) of 1 in.? Foundation BxL В Figure 7.15 Definition of parameters-B,arrow_forwardA continuous foundation is shown in Figure is to be constructed on a sand deposit. If the load eccentricity is 0.2 m, determine the ultimate load, Qu, per unit length of the foundation. Use Meyerhof's effective area method. 1.5.m -2 m Sand $' = 40° -0 y=16.5 kN/m³arrow_forward
- A square shallow foundation is located at depth of 1 m, in stronger sand. A softer sand layer is located at a depth of 3 m measured below the ground surface. H= 5.0 m and K, 4.0. Find B to carry the 4000 kN load using a factor of safety FS = 3. Assume that the bearing capacity of the top layer exceeds the ultimate bearing capacity. %3D Notes: For the top sand layer, unit weight= 14 kN/m'; d' = 30°. For the bottom sand layer, unit weight=11 kN/m2; d'= 22°.arrow_forwardhelp mearrow_forwardProblem 2: A square foundation of B = 4 m applies a uniform pressure of 17.5 kN/m² to the underlaying ground. Determine the vertical stress increase using at a depth of 1m below the center using: a) 2:1 method b) m and n method. c) Stress isobars d) Newmark Methodarrow_forward
- A square column foundation is to be constructed on a sand deposit (C = 0). The allowable load Q will be inclined at an angle bØ = 20° with the vertical. Knowing that y = 16.5 KN/ m3 and Df = 1 m. The standard Penetration numbers N60 obtained from the field are as follows. Determine value of qu ? Depth (m) N60 1.5 3 3.0 4.5 6.0 10 7.5 10 B 1.25 m Select one: a 273 66 KN/ m²arrow_forward7.7 78 Eq. (7.43) and μ, = 0. Refer to Figure P7.7. Using the procedure outlined in Section 7.10, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 445 kN. [Use Eq. (7.26).] Figusa M70arrow_forwardRefer to Figure, q1 = 90 kN/m; q2 = 325 %3D %3D kN/m; x1 = 4 m; x2 2.5 m; z = 3 m. the vertical stress increase, at point A is nearly (KN/m2) Line load = 91 Line load = 42 Ao 28.6 O 18.6 O 24.6 Oarrow_forward
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