Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 16, Problem 16.11P
To determine
Find the gross allowable load
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Foundation Engineering
Homework: The allowable settlement for a continuous footing shown in the figure below is 45
mm. Using the classical method (Terzaghi method), compute its settlement and determine if it
satisfies design criterion. Assume the soil beneath the continuous footing is fully saturated. Use
the simplified method to compute induced stresses at mid-point of each soil layer.
PD=40 kN/m
PL=25 kN/m
1.2 m
Silty Clay
1: (1.0 m)
C/(1+e) = 0.13. C,/(1+ e) = 0.04
á, = 300 kPa
Y= 18 kN/m
2: (1.0 m)
3: (1.5 m)
Silty Clay
C/(1+e) = 0.13, C./(1+e) = 0.04
á =10 kPa
Y= 178 kN/m
4: (2.0 m)
Clay
C/(1+e) = 0.15, C,/(1+ e) 0.05
, = 400 kPa
y= 19 kN/m
5: (3.0 m)
3.5 m
2.5 m
0.5 m
Ex1: A footing is uniformly loaded with q = 100 kN/m² as shown in the figure.
Compute the vertical stress increments under Points A, B, and C at z = 10 m.
By
13.5
Footing
12m
Use Vertical stress Increment
under corner of rectangular
footing
7
(Plane view)
6
Q: VERTICAL STRESS INCREMENT UNDER CORNER OF
RECTANGULAR FOOTING
Ex1: A footing is uniformly loaded with q = 100 kN/m2 as shown in the figure.
Compute the vertical stress increments under Points A, B, and C at z = 10 m.
13.5 m
7.0 m
Footing
12 m
(Plane view)
6.0 m
Chapter 16 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 16 - A continuous footing is shown in Figure 16.17....Ch. 16 - Refer to Problem 16.1. If a square footing with...Ch. 16 - Redo Problem 16.1 with the following: = 115...Ch. 16 - Redo Problem 16.1 with the following: = 16.5...Ch. 16 - Redo Problem 16.1 using the modified general...Ch. 16 - Redo Problem 16.2 using the modified general...Ch. 16 - Redo Problem 16.3 using the modified general...Ch. 16 - Redo Problem 16.4 using the modified general...Ch. 16 - Prob. 16.9PCh. 16 - If the water table in Problem 16.9 drops down to...
Ch. 16 - Prob. 16.11PCh. 16 - A square footing is subjected to an inclined load...Ch. 16 - A square footing (B B) must carry a gross...Ch. 16 - Redo Problem 16.13 with the following data: gross...Ch. 16 - Refer to Problem 16.13. Design the size of the...Ch. 16 - Prob. 16.16PCh. 16 - Prob. 16.17PCh. 16 - Refer to the footing in Problem 16.16. Determine...Ch. 16 - Figure 16.21 shows a continuous foundation with a...Ch. 16 - The following table shows the boring log at a site...
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- Quiz-2: For the strip footing shown. Calculate the reduction percentage in the bearing capacity of the soil profile when the groundwater rises to the footing base level. Use Meyerhof's equation P = 723 kN/m 0.5 m Yt = 17.0 kN/m3 B = 3.0 m Pure Sand Ywet 18.0 kN/m3 5.9 m Ø = 36.0° W.T. Ysat = 18.0 kN/m3arrow_forwardExample 24.31. Determine the ultimate net bearing capacity of the circular footing shown in Fig. 24.33. Also, compute the change in ultimate net bearing capacity, if the entire region is flooded, due to which the ground water level reaches ground level. 1.5 m -2 m Clay Cu = 48 kPa $ = 0° y = 1.8 g/cc No = 5.7 3.5 m %3D W.T.arrow_forward2. A square footing is shown in Figure 16.20. Determine the gross allowable load, Qall, that the footing can carry. Use Terzaghi's equation for general shear failure (F, = 3). Given: y = 105 lb/ft, Yat = 118 lb/ft, c' 0, = 35°, B = 5 ft, D; = 4 ft, and h = 2 ft. Unit weight of soil = y Groundwater table Yat B Figure 16.20arrow_forward
- A square footing 3 m x 3 m is supporting an axial load of 650 kN. The weight of the soil is aasumed to be 17.32 kN/m^3. Compute the vertical stress increment due to this load at a depth of 1.5 m below the center of the footing using the approximate method. a. 51.46 kPa b. 32.10 kPa c. 76.54 kPa d. 50.56 kPaarrow_forwardExl: A footing is uniformly loaded with q = 100 kN/m² as shown in the figure. Compute the vertical stress increments under Points A, B, at z = 10 m. 13.5 m 7.0 m Footing 12 m (Plane view) 6.0 marrow_forwardA square footing is shown in Fig. 16.21. Determine the safe gross load (factor of safety of 3) that can carry. 0.5 m 0.5 m 1.2 m Y = 16 kN/m³ c' = 0 Fig. 16.21 o'= 32° Groundwater table Ysat 19.5 kN/m³arrow_forward
- Q- Determine the width of strip footing to carry a load of 750 kN/m at a depth of 1.6 m in a c-o soil having unit weight of 18 kN/m² and c = 20 kN/m², p=25. Take FOS = 3 and for p=25. (Assume general shear failure) No = 25.1, N₁ = 12.7 and Ny=9.7arrow_forwardA rectangular footing of size 3 x 2 m is founded at a depth of 1.5 m in a clay stratum of very stiff consistency. A clay layer of medium consistency is located at a depth of 1.5 m (= H) below the bottom of the footing (Fig. Ex. 12.17). The soil parameters of the two clay layers are as follows: Top clay layer: c = 175 kN/m2 Shallow Foundation I: Ultimate Bearing Capacity D, = 1.5 m3 Very stiff clay c, = 175 kN/m? Y = 17.5 kN/m BxL 2x3 m H = 1.5 m Layer 1 Soft clay 2 = 40 kN/m? Y2 = 17.0 kN/m Layer 2 Figure Ex. 12.17arrow_forwardQ2. a) A 2 mx 2 m square footing is subjected to an axial load of 600 kN and a bending moment of 180 kNm as appears in Figure 2. The footing is located at 1.2 m deep in a cohesionless soil that has a friction angle of 35° and a saturated unit weight of 18.4 kN/m³. The water table is 2.7 m below the soil surface. Calculate the following, (i) Calculate the eccentricity of the load, (ii) Calculate and draw the soil contact pressure beneath the footing, (iii) Determine the factor of safety of the footing against the bearing capacity (use the general Meyerhof, bearing capacity equation). Assume the soil above water table is saturated. -600 KN /sat = 18.4 kN/m³ 1.2 m c'= 0 kPa, o'= 35° 1.5 m DI. 2 m M = 180 kNm Figure 2arrow_forward
- A footing of size 2m×2m transferring a pressure of 200 kN/m², is placed at a depth of 1.5 m below the ground as shown in the figure (not drawn to the scale). The clay stratum is normally consolidated. The clay has specific gravity of 2.65 and compression index of 0.3. 1.5m 1m 1.5 m 200 kN/m² Silty sand Clay Ya =15kN/m³ Y sat = 18kN/m³ Y sat = 17 kN/m³ GWT $0.5 m Dense sand Considering 2:1 (vertical to horizontal) method of load distribution and Y₁ = 10kN/m³, the primary consolida- tion settlement (in mm, round off to two decimal places) of the clay stratum isarrow_forwardFor the footing plan shown in Figure, calculate the increase in vertical stress in point A under the footing with depth of 3 meters, q = 200 kN/m2. R1=1 m RI B 3. 4.arrow_forward6.14 A 2 mx 3 m spread footing placed at a depth of 2 m carries a vertical load of 3000 kN and a moment of 300 kN m, as shown in Figure P6.14. Determine the factor of safety using Meyerhof's effective area method. Clayey sand y = 18.5 kN/m³ c' = 5.0 kN/m² $' = 32° FIGURE P6.14 3000 KN 2 m 300 kN.m 2 marrow_forward
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