A shallow foundation is to be constructed on a sandy soil layer underlain by clayey soil as shown in Figure 4. Find theconsolidation settlement for the footing.Q = 1500 kips5'15'Sand6'Y = 17 KN/m3Clayey SiltC. = 0.25e, = 0.90Ymoist = 15.8 KN/m³15'45'(Normally Consolidated)Ysat = 16.85 KN/m³Figure: 4

Given Data, Compression index(Cc)= 0.25 Initial Void Ratio (e0) = 0.9

Answered: A shallow foundation is to be…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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9. Consider Figure FE 3. Compute the difference in the primary consolidation settlement. Further, if foundation B is to be loaded with an additional 150 kN, suggest an increase in dimension for said foundation if a differential settlement of 20 mm is not to be exceeded. You may use the equation for primary consolidation settlement of HomyAoy. (Bonus)
Following are the results of a standard penetration test in the field (sandy soil): Depth (m) Field value of N60 1.5 3.0 12 4.5 11 6.0 7.5 13 9.0 11 10.5 13 Estimate the net allowable bearing capacity of a mat foundation 6.5 m x 5.0 m in plan. Here, Df = 1.5 m , and allowable settlement 50 mm. Assume that the unit weight of soil (v) = 16.5 KN/m³ Select one: O a. 30.23 kN/m2 O b. 365.86 kN/m² c. 302.3 kN/m2 O d. 302.3 N/m
Calculate the settlement of the 10-ft-thick clay layer that will result from the load carried by a 5-ft-square footing. The clay is normally consolidated. Use the 2:1 method to calculate the average increase of effective pressure in the clay layer. 10 ft 10 ft 10 ft 5 ft ↓ Dry sand Footing size 5 ft x 5ft Sand Clay Ydry = 100 pcf Groundwater table Ysat = 120 pcf Ysat = 110 pcf % = 1.0 LL=40
H← N M 1m QUESTION 2: Check if the base area of 2m x 2m is adequate for the footing under the loading shown in the figure. Allowable soil pressure is 0.25 MPa. N = 900 KN M = 150 kNm H=75kN
The figure below shows a proposed foundation site, with 10 ft of sand overlying 20 ft of clay with consolidation properties shown. The clay is normally consolidated. Assume 1-D conditions.a. Compute the initial σ′v at the middle of the clay layer prior to excavation and constructionb. After excavation and during construction, the foundation area will be heavily loaded with the structure and equipment so that σ′v at the middle of the clay layer will be increased to 3900 psf. Determine the settlement that will occur under these conditionsc. After construction is completed, the equipment will be removed and the final σ′v at the middle of the clay layer will be 3200 psf. Compute the swell that occurs after the equipment is removed
(b) A plate load test was carried out on a ground having a uniform sand stratum up to sufficient depth. The size of the plate was 40 cm x 40 cm Load (kN) 5 10 20 28 38 50 56 Settlement 0.8 1.3 2.25 3.6 6 8.25 11.5 (mm) Plot the load settlement curve. Also determine the bearing capacíty and load that can be taken by a column footing of size 2m x 2m in this soil for an allowable settlement of 25 mm
Check the factor of safety against shear failure (bearing capacity) for the rectangular footing shown in Fig. (F.S= 2.5) and calculate consolidation settlement of the foundation 14 3 m W.T Fine Silty 6 m 1m V = 1000 kN Ycon. = 24 kN/m³ Ys = 19 kN/m³ $=25° G₁=2.7 Y₁ = 18 kN/m³ C₁ = 60 kN/m² G₁ = 2.65 Dense Sand y = 20 kN/m³ =35° G. s 77771 m 10 m 6 m
* 3 m b. Is the clay overconsolidated? c. What would be the consolidation settlement beneath the center of the mat? 6m A 15 m X 20 m mat foundation shown in Figure P10.7 car- ries a building load of 36 MN and is placed at 3.0 m depth below the ground level. 5 m For the clay layer, the consolidation tests show that the preconsolidation pressure at the middle of the clay layer is 210 kN/m². a. Find the net applied pressure on the underlying ground. Q Sand Clay y = 16.5 kN/m³ Ysat 19.0 kN/m³ e = 0.82 Ce=0.35 and C, = 0.06 =
A footing 3 m x 3 m is supporting a concentric load of 1100 kN. Calculate the settlement in mm of the layer of clay considering the preconsolidation. CHOICES A. 8.37 mm B. 6.12 mm C. 7.28 mm D. 5.56 mm
Consider Figure FE 3. Compute the difference in the primary consolidation settlement. Further, if foundation B is to be loaded with an additional 150 kN, suggest an increase in dimension for said foundation if a differential settlement of 20 mm is not to be exceeded. You may use the equation for primary consolidation settlement of HomvΔσv.
4. A square foundation will be constructed at ground surface. The subsoil profile is shown in the figure below. The mat will have a net uniform load of 500 psf at El. O. The mat will have a net uniform load (Induce stress) at El. -15 of 360 psf, the primary consolidation settlement (in.) of the clay layer directly below the center of the foudnation is? fr ORIGINAL GROUND SURFACE ELEV. O ft ELEV-5 ft. ELEV-10 ft ELEV-20 ft 30 ft SAND Y = 115 pcf MAT FOUNDATION SAND Y = 105 pcf GROUNDWATER TABLE NORMALLY CONSOLIDATED CLAY SATURATED UNIT WEIGHT = 95 pcf COMPRESSION INDEX C₂ = 0.29 VOID RATIO=1.0
A 650-kN column load is supported on a 1.5 m wide by 2.0 m long by 0.5 m deep spread foot-ing. The soil below is a well-graded, normally consolidated sand with g = 18.0 kN/m3 and the following SPT N60 values:Depth (m) 1.0 2.0 3.0 4.0 5.0N60 12 13 13 8 22 The groundwater table is at a depth of 25 m. Compute settlement of the footing using the gen-eralized elastic method with Christian and Carrier’s (1978) influence factors.

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