3. For the retaining wall given in the figure, compute the factors of safety against overturning, sliding, and bearing capacity failure. Check if the eccentricity at the base of the retaining wall is acceptable. The unit weight of the concrete is 24 kN/m³. The friction 2 and between the base of the concrete and soil is 8=6. Ignore the passive earth force 3 in front of the toe of the retaining wall. Make any other assumption that you considered necessary. (All forces and moments , three types of stability ) 0.5 mt 0.3 m q= 10 kN/m² 4.5 m Ysoil = 16.5 kN/m³ 3 c'=0 6' = 35° Yconcrete = 24 kN/m³ 0:8 m. Bearing capacity equation: q=dNFFF+qN F F F +0.5/BNF.FF. Equations and Tables: K. 1-sino' K₁ = 0.95-sin ' Shape factors by De Beer (1970) Depth factors by Hansen (1970) N F =1+0.4(+) F =1+(-)) LN F =1+(-) tan 6 1+tan F, =1-0.4() B Inclination factors by Meyerhof (1963) and Hanna and Meyerhof (1981) F₁ = F₁₂ = (1-B F₁ =1+2 tan ø'(1-sin ø')² | F, = (1- F₁ =1 B 90° Table 4.2 Bearing Capacity Factors NE Na Ny N N N K o(overconsolidate) K o(normally consolidated) √OCR 0 5.14 1.00 0.00 1 5.38 1.09 0.07 2 5.63 1.20 0.15 K = tan² (45-%) 34567 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 21 6.81 1.72 0.57 7.16 1.88 0.71 K₁ = cosa-√cos a-cos² ' =COS& K, cosa + √cos² a-cos² o' 8 7.53 2.06 0.86 =COS& 9 7.92 2.25 1.03 cosa + √cos² a-cos² ' Cosa – -√cos² cos² a-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 K sin² (B+) 13 sin ẞ sin(ẞ-8)[1+ sin('+5) sin(-a)2 sin(B-8) sin(a+B)" 14 15 345 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 SERDAR2222222223 16 11.63 4.34 3.06 17 12.34 4.77 3.53 18 13.10 5.26 4.07 19 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 18.05 8.66 8.20 24 19.32 9.60 9.44 25 20.72 10.66 10.88 26 22.25 11.85 12.54 23.94 13.20 14.47 28 25.80 14.72 16.72 29 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) K₁ sin(B-) Table 4.2 Bearing Capacity Factors (Continued) sin ẞ sin(B+)[1- sin('+) sin('+a)₁₂ Vsin(+6) sin(a + ẞ) $' No Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22

3. For the retaining wall given in the figure, compute the factors of safety against overturning, sliding, and bearing capacity failure. Check if the eccentricity at the base of the retaining wall is acceptable. The unit weight of the concrete is 24 kN/m³. The friction 2 and between the base of the concrete and soil is 8=6. Ignore the passive earth force 3 in front of the toe of the retaining wall. Make any other assumption that you considered necessary. (All forces and moments , three types of stability ) 0.5 mt 0.3 m q= 10 kN/m² 4.5 m Ysoil = 16.5 kN/m³ 3 c'=0 6' = 35° Yconcrete = 24 kN/m³ 0:8 m. Bearing capacity equation: q=dNFFF+qN F F F +0.5/BNF.FF. Equations and Tables: K. 1-sino' K₁ = 0.95-sin ' Shape factors by De Beer (1970) Depth factors by Hansen (1970) N F =1+0.4(+) F =1+(-)) LN F =1+(-) tan 6 1+tan F, =1-0.4() B Inclination factors by Meyerhof (1963) and Hanna and Meyerhof (1981) F₁ = F₁₂ = (1-B F₁ =1+2 tan ø'(1-sin ø')² | F, = (1- F₁ =1 B 90° Table 4.2 Bearing Capacity Factors NE Na Ny N N N K o(overconsolidate) K o(normally consolidated) √OCR 0 5.14 1.00 0.00 1 5.38 1.09 0.07 2 5.63 1.20 0.15 K = tan² (45-%) 34567 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 21 6.81 1.72 0.57 7.16 1.88 0.71 K₁ = cosa-√cos a-cos² ' =COS& K, cosa + √cos² a-cos² o' 8 7.53 2.06 0.86 =COS& 9 7.92 2.25 1.03 cosa + √cos² a-cos² ' Cosa – -√cos² cos² a-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 K sin² (B+) 13 sin ẞ sin(ẞ-8)[1+ sin('+5) sin(-a)2 sin(B-8) sin(a+B)" 14 15 345 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 SERDAR2222222223 16 11.63 4.34 3.06 17 12.34 4.77 3.53 18 13.10 5.26 4.07 19 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 18.05 8.66 8.20 24 19.32 9.60 9.44 25 20.72 10.66 10.88 26 22.25 11.85 12.54 23.94 13.20 14.47 28 25.80 14.72 16.72 29 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) K₁ sin(B-) Table 4.2 Bearing Capacity Factors (Continued) sin ẞ sin(B+)[1- sin('+) sin('+a)₁₂ Vsin(+6) sin(a + ẞ) $' No Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter17: Retaining Walls

Section: Chapter Questions

Problem 17.1P

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