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Calculate the consolidation settlement under the corner of mat foundation.
</TO-DETERMINE>
The consolidation settlement under the corner of mat foundation is
Given information:
The length of the foundation is
The width of the foundation is
The depth of the foundation
The load value Q is
The preconsolidation pressure
The depth values are
Calculation:
Find the consolidation settlement at the center of the foundation using the relation.
Find the stress
Height of clay
Find the net load per unit area using the relation.
At the top of the clay layer,
Refer Table 6.4, “Variation of influence value I”
Take I value as 0.242 for
Find
At the middle of the clay layer,
Refer Table 6.4, “Variation of influence value I”
Take I value as 0.226 for
Find
At the bottom of the clay layer,
Refer Table 6.4, “Variation of influence value I”
Take I value as 0.201 for
Find
Find the average stress increase in the clay layer below the corner of each rectangular area.
Find the consolidation settlement at the center of the foundation using the relation.
Therefore, the consolidation settlement under the corner of mat foundation is
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Chapter 8 Solutions
Principles of Foundation Engineering, SI Edition
- 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_forwardEstimate the ultimate consolidation settlement under the centerline of a 25 x 25 meter mat foundation. The mat is 1.5 meter thick reinforced concrete (ϒconcrete = 23.6 kN / m3), and the average stress on the surface of the slab is 125 kPa. The soil profile is shown in the figure below. Lab testing on samples of the clay showed that the clay is normally consolidated and that Cc = 0.40, Cr = 0.03, and eo = 1.13. Neglect any settlements due to the sand layer. Divide the clay layer into four thinner layers of thickness 2.0, 2.0, 3.0, and 3.0 meters.arrow_forwardA square column foundation with base of 1.38 m is shown in the figure. It carries an axial load of 479 kN and has its bottom resting on the ground water table located h1 - 1.5 m. below the ground surface. h2=0.8 m and h3 - 2.4 m. Compute the settlement of the clay layer in millimeter caused by primary consolidation if the preconsolidation pressure of the clay is 98 kPa. |P Dry Sand Wet Sand Clay h3 Soil Properties; A Unit Weight of Dry Sand= 15.6 KN/m3 Saturated Unit Weight of Sand - 19.6 KN/m3 Saturated Unit Weight of Clay = 18.7 KN/m3 Compression Index = 0.255 Void Ratio of Clay = 0.69 Swell Index 1/5Cc X ✓ I tak 2 h1 FEEF HERarrow_forward
- Q-1) Determine the immediate settlement of the foundation shown in Figure (1). The undrained elastic modulus varies with depth, as shown in the figure, and v₁ = = 0.45. [Answer = 26 mm]. LETETEI 2L = 12 m -8 m -4m +3m+5m 5000 kN Į Layer 1 Layer 2 6 m 2B = 10 m 4 m 4 m 8m Figure (1) 4000 kPa 8000 kPa Eu 10,000 kPa 30,000 kPaarrow_forwardThe plan of a flexiblerectangular loaded area is shown with a uniformly distributed load q =100 KN/m2. Determine the increasein the vertical stress (A6z) at Z= 2.0 meters bel ow (a) Point A = (b) Point B= (c) Point C= 4 m 1.6 m- 2 m 0.8 m q = 100 kN/m? C 1.2 m-arrow_forwardA square column foundation with base of 1.32 m is shown in the figure. It carries an axial load of 452 kN and has its bottom resting on the ground water table located h1 = 1.3 m. below the ground surface. h2 = 0.7 m and h3 = 2.3 m. Compute the settlement of the clay layer in millimeter caused by primary consolidation if the preconsolidation pressure of the clay is 102 KPa. |P Dry Sand h1 Wet Sand Clay h3 Soil Properties: Unit Weight of Dry Sand = 15.7 KN/m3 Saturated Unit Weight of Sand = 19.1 KN/m3 Saturated Unit Weight of Clay = 18.6 KN/m3 Compression Index = 0.244 Void Ratio of Clay = 0.62 |- Swell Index = 1/5Cc tak FEH FELTarrow_forward
- Estimate the ultimate consolidation settlement under the centerline of a 15 X 15 m mat foundation. The mat is 1 m thick reinforced concrete and the average stress on the surface of the slab is 75 kPa. The soil profile is shown below. Oedometer tests on samples of the clay provide these average values. ’p = 130 kPa, Cc = 0.40, Cr = Cs = 0.03 Neglect any settlements due to the sand layer. Please and thank you!! :)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_forwardA square column foundation with base of 1.51 m is shown in the figure. It carries an axial load of 468 kN and has its bottom resting on the ground water table located h1 = 1.4 m. below the ground surface. h2 = 0.8 m and h3 = 2.5 m. Compute the settlement of the clay layer in millimeter caused by primary consolidation if the preconsolidation pressure of the clay is 98 KPa. |P Shy h1 kak 1:1:1 2222 1:1 I Dry Sand Wet Sand Clay Soil Properties: Unit Weight of Dry Sand = 15.4 KN/m3 Saturated Unit Weight of Sand = 19.4 KN/m3 Saturated Unit Weight of Clay = 18.6 KN/m3 Compression Index = 0.264 Void Ratio of Clay = 0.75 Swell Index = 1/5Cc 11 LEE ILLI CEET EEGGE LLLLLLI TELLIT 1arrow_forward
- 46. Consolidation of Clay: Given Exercise Figure 7.4 and the accompanying information, what is the ultimate settlement in the clay under the applied load? Note: 1 ft = 0.3048 m; 62.4 lb/ft³ = 1 Mg/m³. Assuming the sand will not settle, determine the ulti- mate settlement in the clay using: Proceeding in steps: a. Determine the effective stress for the cross section prior to loading. Show the stresses at depth using an appropriate diagram. b. What is Ao' on the clay layer caused by the imposed load? (Hint: Calculate this for the center of the clay layer at 5.8 m [19 ft] deep.) (ft) 0 c. What is the value of eo based on the original poros- ity of the clay? d. How much settlement will occur in the clay? 5 H ΔΗ =· -C log 1+- 1+e 16 22 40' o' P= 125 tons Sand: Yd=105 lb/ft³ Silty sand: Ysat Clay: Ysat=121 lb/ft³ n = 0.629, C = 0.82 Exercise Figure 7.4 = 127 lb/ft³ GWTarrow_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_forwardA soil profile is shown in the figure below. If a foundation load Ao=1000 lb/ft² is applied, estimate the primary consolidation settlement of the clay layer. The preconsolidation pressure oc'=2600 lb/ft² and C, =÷Cc. Use the Skempton equation to estimate the 6. compression index. Ao =110 lb/ft³ Y dry V Ground water table Sand Y=1:15 lb/ft sat Y-120 lb/ft³ sat Le=0.9 | Clay| LL=50 - - - Sand 17 ft.- 15 ft.- ft.-arrow_forward
- Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
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