A highway embankment is shown in the figure below. If the unit weight of the soil in the embankment is y = 17.5 kN/m², Compute the vertical stress increase (Aoz) under the embankment at points A1 and A2. 5m- 14 m- 14 m - 7= 17.5 kN/m H=7 m 16.5 m +5 m 5 m 11.5 m 5 m A2 A1
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- EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A₁ and A₂. 14 m- 5m 11.5 m- 5 m č A₂ At point A₁ -14 m- → 5m → ← 5m 5 m A₂ 11.5 m At point A₂ H=7m ► 5 m 8 A₁ 5m+¦+ H=7m >· 5 m X A₁ 14 m 16.5 m 5 m 14 m EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A, and A₂. 14 m 16.5 m y= 17.5 kN/m³ 5m9 = (2.5 m) x (17.5 - A₂ H A0₂ (1) kN/m³) = 43.75 kN/m2 Aσ₂ (1) y= 17.5 kN/m² B A₁ 1 90 = 122.5 kN/m2 + + T 5m 9=(7 m) x (17.5 kN/m³)= 122.5 kN/m² % = 122.5 kN/m² A₂ 2.5 m →→ ● A0₂ (2) A₁ 14 m- A₂ (2) 9 (4.5 m) x (17.5 kN/m³)= 78.75 kN/m² Aar: (33) A₂ 14 m 9 m ➜ 14 m 1IV. A soil element is shown in Figure 3. (use equations) 130 kN/m² +35kN/m² 30⁰ 60 kN/m² 10 11. 12 + + B SITY FICAT 35 kN/m² Figure 3 What is the value of the maximum stress in kPa? What is the value of the normal stress acting at the plane AB in kPa? What is the value of the shear stress acting at the plane AB in kPa?An embankment load on a silty clay soil layer as shown below. Determine the stress increase under the embankment at points A and B that are loaded at a depth of 6 m below the ground surface, please use figure (10.20). 5 m 1Н:2V, 1H:2V 1H:1V 8 m y=18 kN/m y=18 kN/m" 6 m : B Figure 10.19 Embankment loading 0.50- 3.0 20 16 0.45- 14 1.2 LO 0.40 - 0.9 0.8 0.7 0.35 - 0.6 030- 05 04 * 025 - 03 0.20 - 0.2 0.15 - 0.10 - 0.1 0.05- Figure 10.20 Osterberg's chart for determination of vertical stress 0.00 TI TT - due to embank- 01 0.1 10 ment loading 100 327
- As shown in the figure given below, a 5 m thick layer of silty sand overlies a clay layer 3 m in thickness. Below the clay layer, there lies a 4 m thick gravelly sand layer underlain by pervious bedrock. The ground water table is at the ground surface. GWT Silty Sand 5 m Ya = 18 kN/m³ Ys = 19 kN/m3 Clay 1.5 m 3 m Ys = 18 kN/m3 x A Gravelly Sand Ys = 20 kN/m3 2 m 4 m x B WXXX a) Calculate the total stress (0), pore water pressure (u) and effective stress (o') at points "A" and “B". Show your work and tabulate the results in the following form. Point A Point B o (kPa) u (kPa) o' (kPa) b) If ground water table is lowered by 2 m for foundation excavation purposes, calculate the total stress, pore water pressure and effective stress at points "A" and "B" (i) immediately after, (ii) long time after lowering the water table. Show your work and tabulate the results in the following form.Determine the stress increase due to the embankment load at point A as shown in Figure 2. The unit weight of the embankment fill is 115pcfAn embankment load on a silty clay soil layer as shown below. Determine the stress increase under the embankment at points A and B that are loaded at a depth of 6 m below the ground surface. 5 m 1H:2V 1H:2V 1H:1V 8 m 13 y=18 kN/m Y=18 kN/m³ 6 m : B : A CS Scanned with CamScanner
- A soil element is shown in the figure. Determine the following: 300 psf 1. a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB 250 psf 80 psf A + 35⁰ + B 80 psfA soil profile is shown in figure below. Dry sand 6m Ydry = 16.5 kN/m³ B Groundwater table Saturated sand 13m Ysat = 19.25 kN/m² C Dry sand Saturated sand Clay Calculate the following: a. Effective stress at point A in kPa. b. Effective stress at point B in kPa. c. Effective stress at point C in kPa. 5.2: An embankment shown in the figure is constructed. compute the vertical stress increment under Points A. B. and C at z = 10 m Use vertical stress Increment under an embankment loads? 10 m 12 m 10 m Y₁-192 kN/m² Take value of 15 from chart s6v=9[s
- Problem 4 Consider the upward flow of water through a layer of sand in a tank as shown in the figure. Properties of sand: Void ratio e = 0.52 Specific gravity of solids = 2.67 1. Calculate the effective stress at B. 2. What is the upward seepage force per unit volume of soil? 3. What is the rate of upward seepage of water in m³/hour if K = 2 x 10-³ m/sec and area of tank is 0.45 m²? h=1.5 0.70 m 2 m In flow Ysat H₂o valve open 1 mIn the deposit shown in the accompanying figure the groundwater level was originally at the ground surface. The water table was lowered by drainage to a depth of 25 ft., whereupon the degree of saturation of the sand above the lowered water table decreased to 20 percent. 1. What is the effective vertical stress at the mid height of the clay layer before lowering the water table? a. 4350 psf b. 4560 psf c. 3500 psf d. 6400 psf 2. What is the effective vertical stress at the mid height of the clay layer after lowering the water table? a. 4343 psf b. 4557 psf c. 5530 psf d. 6452 psf 3. What is the effective vertical stress at the mid height of the clay layer after lowering the water table to a depth of 50 ft? a. 5580 psf b. 6710 psf c. 3680 psf d. 5860 psf(Use The Figure (10.20) to find the solution of this question) An embankment load on a silty clay soil layer as shown below. Determine the stress increase under the embankment at points A and B that are loaded at a depth of 6 m below the ground surface. 5m 1H:2V 1H:2V 1H:1V 8 m y-18 kN/m y-18 kN/m 6 m 4. y Figure 10.19 Embankment loading 050 TTTT 3.0 20 16 045 14 12 LO 040 09 07 035 06 030 05 04 - 025 03 020 02 015 a.10 Figure 10.20 Osterberg's chart for determination of vertical stress 0.00 due to embank- 0.01 0.1 10 100 ment loading 327