Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 10, Problem 10.5P
To determine
Find the elastic settlement.
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Estimate the increase in vertical stress at 0.5 m depth intervals, within the clay layer, below point A
(See figure below). The foundation exerts a uniform vertical stress of 120 kPa at ground level. Using
these values estimate the settlement due to the clay layer. (Hand in any graphs used)
5m
5m
2m
3m
Very Dense Sand
2m
1.5m
Clay E=3.5 MPa
2m
Bedrock
Soil profile
A
Plan of building
3m
Soil profile and plan for Question 4
3m
FA
A square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)?
A.Immediately after construction, the effective vertical stress developed at Points B and C is the same.
B.Immediately after construction, the excess pore water pressure (∆u) developed at Point B is lower than ∆u developed at Point A.
C.After construction, the excess pore water pressure at Point C dissipates faster than that dissipated at Point B.
D.
1) 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
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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).
Chapter 10 Solutions
Principles of Foundation Engineering (MindTap Course List)
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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Similar questions
- Solve Problem 7.8 using Eq. (7.29). Ignore the post-construction settlement. 7.8 Solve Problem 7.4 with Eq. (7.20). Ignore the correction factor for creep. For the unit weight of soil, use γ = 115 lb/ft3. 7.4 Figure 7.3 shows a foundation of 10 ft × 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft2. For the sand, μs = 0.3, Es = 3200 lb/in.2, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. Use Eqs. (7.4) and (7.12).arrow_forwardThe initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stressof 40 kPa. Determine the change shearing stress in kPa.arrow_forwardA footing of size 2m x 2m transferring a pressure of 200 kN/m2, is placed at 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. 200 kN/m? 1.5 m GWT Ya = 15 kN/m 18 kN/m elemiu 1 m Silty Sand Ysat = 10.5 m 1.5 m Clay Yat = 17 kN/m Dense Sand Consideration 2:1 (vertical to horizontal) method of load distribution and yw primary consolidation settlement (in mm, round off to two decimal places) of the clay stratum is 10kN/m, thearrow_forward
- A 1.8 m square, 2 m deep and 1 m high footing supports a column load of 570 kN. It is supported on a clayey sand. There is no water present at the site. Use unit weight for the concrete 24 kN/m³. A dilatometer test run at the site has returned the following constrained modulus profile: Depth (m) M (MPa) 2 7.7 3 8.8 4 5 10.2 14.8 6 15.4 Plot the modulus distribution with depth considering both the strain distribution with depth and the soil moduli, and divide soil into 5 layers, then determine the average modulus for each soil layer.arrow_forwardA point load of 870kN is applied to a soil. At a depth of 2.5m directly below the applied load, determine the vertical stress in kPa. [2 marks] At 3.5m to the left of the 870kN load in Q1.9 above, a 640kN point load is applied, together with a 560kN point load 4.5m to the right of the 870kN load in Q1.9 above. Determine the vertical stress 2.5m directly below the 870kN load. [3 marks]arrow_forward(b) Figure Q2 (b) shows the ring foundation to support a silo. Given R1 = 3 m while R2 =6 m. The total vertical load is 7500 kN. (i) Calculate and plot the vertical stress increase with depth up to 7 m (use 1 minterval) under the centre of the ring (point O).(ii) Determine the maximum vertical stress increase and its location.arrow_forward
- The initial principal stresses at acertain depth in a clay soil are 200 kPa on the horizontal plane and 100 kPa on the vertical plane.Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a clockwise(with respect to the horizontal plane) shear stress of 40 kPa. Determine the change in shearing stress in kPa.arrow_forwardIn the figure, the rectangular foundation is loaded with a uniform load of 225 kPa. Accordingly, calculate the vertical stress increase 10 m below point A.arrow_forwardA rectangular footing is uniformly loaded with q = 75 kN/m? as shown in the figure. Compute the vertical stress increments under Points A, B, and C at z = 5 m. 15 m 3.5 m A 1.87 m 8 m B Footing (Plane view)arrow_forward
- The plan of a rectangular foundation shown in figure transmits a uniform contact pressure of 120 kN/m². Determine the vertical stress induced by this loading at point B under a depth of 5 m. (40 marks) 25.0- 15.0 6.0- 4.0 B•arrow_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_forwardQ 1) A concrete foundation rests on the surface of a soil mass. Determine the vertical stress increase at point A. 4 m 1 m 1.5 m PLAN 1.5 m Fondation Load 3000 KN 2 m SECTION A Soilarrow_forward
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