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 5.11P
To determine
Find the gross ultimate bearing capacity of the foundation.
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8.4 A rectangular foundation is shown in Figure P8.2, given B=2m, L=4m
q = 240 kN/m², H = 6m, and D; = 2 m.
(a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use
Eq. (8.24).
(b) If the clay is normally consolidated, calculate the consolidation settlement.
Use Eq. (8.35) and y,t = 17.5 kN/m’, C, = 0.12, and e, = 1.1.
%3D
G.W.T.
D,=2 m
= 240 kN/m²
Clay
e. = .IO
H= 6 m
1.
Rock
Figure P8.2
S,(average) = µ,M0
qB
(v = 0.5)
E
(8.24)
(8.35)
FIGURE P8.9
square foundation, 15 m wide, carries a net column load
of 500 kN as shown in Figure P8.11. Determine the average
stress increaso beneath the center of the foundation in the
clay layer.
a. Using Eq. (8.25),
b. Using Eqs. (8.26) and (8.10), and
c. Using Eqs (8.26) and (8. 15).
8.11
A
500 KN (net load)
Sand
0.9 m
Clay
3 m
Problem (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 3m
Chapter 5 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- 8.4 A rectangular foundation is shown in Figure P8.2, given B= 2 m, L=4m q=240 kN/m², H=6m, and D; =2 m. (a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use Eq. (8.24). (b) If the clay is normally consolidated, calculate the consolidation settlement. Use Eq. (8.35) and yat = 17.5 kN/m², C¸ = 0.12, and e, = 1.1.arrow_forward6.8 Refer to Figure P6.8. Using the procedure outlined in Section 6.8, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 ton. [Use Eq. (6.28).] 4:5 ft 3 ft 50 ton (net load) 10 ft 5 ft x 5 ft Sand y=100 lb/ft! Sand Yat=122 lb/ft³ Groundwater table Ysat ⇒120 lb/ft³ = 0.7 C=0.25 -C, 0,06 Preconsolidation pressure = 2000 lb/ft² Figure P6.8arrow_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_forward
- Problem 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 circular foundation (D = 6 m) is built on a construction site where the soil profile is shown in Figure 5 below. The circular foundation applies a uniform pressure of 80 kPa to the surface of clay. The properties of the clay are: Specific gravity, G₁ Saturated unit weight at Compression index Ce Recompression index Cr Consolidation coefficient, c Over-consolidation ratio, OCR 10 m 6m Ø Clay Impervious rock Figure 5 2.6 20 kN/m³ 0.25 0.10 2.5 m²/year 1.2 (b) Calculate the stress increase at the center of the clay layer and 1) beneath the foundation center and 2) beneath the edge of the foundation; (c) Calculate the consolidation settlement beneath the center of the foundation due to the stress increase; (d) Determine the settlement at the center of the clay after 1 year of applying the pressure; (e) A 50 mm thick clay sample was taken from the site and consolidated in the oedometer, how long it will take for the clay to reach 90% consolidation?arrow_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_forward
- A butt weld is set on the cross section of an I-shaped beam. The re are bending moment M ard sheao forne V at the speicing position, where Ma || 20 KN m and v 374KN The beam is made of Q355 b steel and semi- automatic weld is used with welding rod E50. The des ign value of the weld tensile to Strength f" is 260 N/mnm?. c heek whethe please The stregth of the butt weld is safe by eloulation. ET 3.arrow_forwardExample 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 No. 1 A circular foundation 2 m in diameter is shown in Figure. A normally consolidated clay layer 5 m thick is located below the foundation. Determine the primary consolidation settlement of the clay. 1m Circular foundation diameter, B= 2 m 10.5 m 0,5 m q=150 kN/m² ↓ Sand G.W.T. Y=17 kN/m³ Sand Ysat = 19 kN/m³ Normally consolidated clay H₁=5 m Ysat 18.5 kN/m³ Ce=0.16 €0=0.85arrow_forward
- A circular foundation having qo=720 kPa and radius of 2m is placed on a soil section as shown in figure (1), if the ground water level was located at N.G.S, for the soil element (A) which located under the center of the foundation at the middle of clay layer. Calculate the followings: Sandy soil Ysa19.74 kN/m³ eo = 0.54 Clayey soil Ysa19.18 kN/m³ e =0.8 Calculate the Effective stress Choose... + at soil element (A) in (kPa) The increase in stress (kPa) due to footing load (Use Choose... + Approximated method) at soil element (A) 7marrow_forwardH.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…arrow_forwardA 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 foundationarrow_forward
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