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8.2 For the cantilever retaining wall shown in Figure P8.1, let the following data be g Wall dimensions: H = 6.5 m, x, = 0.3 m, x, = 0.6 m, x, = 0.8 m, x, = 2 m X3 = 0.8 m, D = 1.5 m, a = 0° Y, = 18.08 kN/m', ø' = 36°, y; = 19.65 kN/m', d: = 15° 30 kN/m² Soil properties: Calculate the factor of safety with respect to overturning, sliding, and bearing capac

8.2 For the cantilever retaining wall shown in Figure P8.1, let the following data be g Wall dimensions: H = 6.5 m, x, = 0.3 m, x, = 0.6 m, x, = 0.8 m, x, = 2 m X3 = 0.8 m, D = 1.5 m, a = 0° Y, = 18.08 kN/m', ø' = 36°, y; = 19.65 kN/m', d: = 15° 30 kN/m² Soil properties: Calculate the factor of safety with respect to overturning, sliding, and bearing capac

Structural Analysis
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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Please answer 8.2

Table 7.1 Values of K, [Eq. (7.19)) a (deg) 4' (deg) - 28 29 30 31 32 33 34 35 36 0.3610 0.3470 0.3333 0.3201 0.3073 0.2948 0.2827 0.2710 0.2596 0.3612 0.3471 0.3335 0.3202 0.3074 0.2949 0.2828 0.2711 0.2597 0.3618 0.3476 0.3339 0.3207 0.3078 0.2953 0.2832 0.2714 0.2600 3 0.3627 0.3485 0.3347 0.3214 0.3084 0.2959 0.2837 0.2719 0.2605 0.3639 0.3656 0.3496 0.3512 0.3094 0.3105 4 0.3358 0.3224 0.2967 0.2845 0.2726 0.2611 0.3372 0.3237 0.2978 0.2855 0.2736 0.2620 6 0.3676 0.3531 0.3389 0.3253 0.3120 0.2992 0.2868 0.2747 0.2631 7 0.3701 0.3553 0.3410 0.3272 0.3138 0.3008 0.2883 0.2761 0.2644 0.3730 0.3580 0.3435 0.3294 0.3159 0.3027 0.2900 0.2778 0.2659 9 0.3764 0.3611 0.3463 0.3320 0.3182 0.3049 0.2921 0.2796 0.2676 10 0.3802 0.3646 0.3495 0.3350 0.3210 0.3074 0.2944 0.2818 0.2696 11 0.3846 0.3686 0.3532 0.3383 0.3241 0.3103 0.2970 0.2841 0.2718 12 0.3896 0.3731 0.3573 0.3421 0.3275 0.3134 0.2999 0.2868 0.2742 13 0.3952 0.3782 0.3620 0.3464 0.3314 0.3170 0.3031 0.2898 0.2770 14 0.4015 0.3839 0.3671 0.3511 0.3357 0.3209 0.3068 0.2931 0.2800 15 0.4086 0.3903 0.3729 0.3564 0.3405 0.3253 0.3108 0.2968 0.2834 16 0.4165 0.3975 0.3794 0.3622 0.3458 0.3302 0.3152 0.3008 0.2871 17 0.4255 0.4056 0.3867 0.3688 0.3518 0.3356 0.3201 0.3053 0.2911 18 0.4357 0.4146 0.3948 0.3761 0.3584 0.3415 0.3255 0.3102 0.2956 19 0.4473 0.4249 0.4039 0.3842 0.3657 0.3481 0.3315 0.3156 0.3006 20 0.4605 0.4365 0.4142 0.3934 0.3739 0.3555 0.3381 0.3216 0.3060 21 0.4758 0.4498 0.4259 0.4037 0.3830 0.3637 0.3455 0.3283 0.3120 22 0.4936 0.4651 0.4392 0.4154 0.3934 0.3729 0.3537 0.3356 0.3186 23 0.5147 0.4829 0.4545 0.4287 0.4050 0.3832 0.3628 0.3438 0.3259 24 0.5404 0.5041 0.4724 0.4440 0.4183 0.3948 0.3731 0.3529 0.3341 25 0.5727 0.5299 0.4936 0.4619 0.4336 0.4081 0.3847 0.3631 0.3431 Table 3.3 Bearing Capacity Factors N. Na N, N. N. N, 5.14 1.00 0.00 26 22.25 11.85 12.54 5.38 5.63 1.09 0.07 27 23.94 13.20 14.47 1.20 0.15 28 25.80 14.72 16.72 3 5.90 1.31 0.24 29 27.86 16.44 19.34 4 6.19 1.43 1.57 0.34 30 30.14 18.40 22.40 6.49 0.45 31 32.67 20.63 25.99 6. 6.81 1.72 0.57 32 35.49 23.18 30.22 7 7.16 1.88 0.71 33 38.64 26.09 35.19 8 7.53 2.06 0.86 34 42.16 29.44 41.06 9. 7.92 2.25 1.03 1.22 35 46.12 33.30 48.03 10 8.35 2.47 36 50.59 37.75 56.31 11 8.80 2.71 1.44 37 55.63 42.92 66.19 12 9.28 2.97 1.69 38 61.35 48.93 78.03 13 9.81 3.26 1.97 39 67.87 55.96 92.25 14 10.37 3.59 2.29 40 75.31 64.20 109.41 15 10.98 3.94 2.65 41 83.86 73.90 130.22 16 11.63 4.34 3.06 42 93.71 85.38 155.55 17 12.34 4.77 3.53 43 105.11 99.02 186.54 18 13.10 5.26 4.07 44 118.37 115.31 224.64 19 13.93 5.80 4.68 45 133.88 134.88 271.76 20 14.83 6.40 5.39 46 152.10 158.51 330.35 21 15.82 7.07 6.20 47 173.64 187.21 403.67 22 16.88 7.82 7.13 48 199.26 222.31 496.01 23 18.05 8.66 8.20 49 229.93 265.51 613.16 24 19.32 9.60 9.44 50 266.89 319.07 762.89 25 20.72 10.66 10.88
Transcribed Image Text:Table 7.1 Values of K, [Eq. (7.19)) a (deg) 4' (deg) - 28 29 30 31 32 33 34 35 36 0.3610 0.3470 0.3333 0.3201 0.3073 0.2948 0.2827 0.2710 0.2596 0.3612 0.3471 0.3335 0.3202 0.3074 0.2949 0.2828 0.2711 0.2597 0.3618 0.3476 0.3339 0.3207 0.3078 0.2953 0.2832 0.2714 0.2600 3 0.3627 0.3485 0.3347 0.3214 0.3084 0.2959 0.2837 0.2719 0.2605 0.3639 0.3656 0.3496 0.3512 0.3094 0.3105 4 0.3358 0.3224 0.2967 0.2845 0.2726 0.2611 0.3372 0.3237 0.2978 0.2855 0.2736 0.2620 6 0.3676 0.3531 0.3389 0.3253 0.3120 0.2992 0.2868 0.2747 0.2631 7 0.3701 0.3553 0.3410 0.3272 0.3138 0.3008 0.2883 0.2761 0.2644 0.3730 0.3580 0.3435 0.3294 0.3159 0.3027 0.2900 0.2778 0.2659 9 0.3764 0.3611 0.3463 0.3320 0.3182 0.3049 0.2921 0.2796 0.2676 10 0.3802 0.3646 0.3495 0.3350 0.3210 0.3074 0.2944 0.2818 0.2696 11 0.3846 0.3686 0.3532 0.3383 0.3241 0.3103 0.2970 0.2841 0.2718 12 0.3896 0.3731 0.3573 0.3421 0.3275 0.3134 0.2999 0.2868 0.2742 13 0.3952 0.3782 0.3620 0.3464 0.3314 0.3170 0.3031 0.2898 0.2770 14 0.4015 0.3839 0.3671 0.3511 0.3357 0.3209 0.3068 0.2931 0.2800 15 0.4086 0.3903 0.3729 0.3564 0.3405 0.3253 0.3108 0.2968 0.2834 16 0.4165 0.3975 0.3794 0.3622 0.3458 0.3302 0.3152 0.3008 0.2871 17 0.4255 0.4056 0.3867 0.3688 0.3518 0.3356 0.3201 0.3053 0.2911 18 0.4357 0.4146 0.3948 0.3761 0.3584 0.3415 0.3255 0.3102 0.2956 19 0.4473 0.4249 0.4039 0.3842 0.3657 0.3481 0.3315 0.3156 0.3006 20 0.4605 0.4365 0.4142 0.3934 0.3739 0.3555 0.3381 0.3216 0.3060 21 0.4758 0.4498 0.4259 0.4037 0.3830 0.3637 0.3455 0.3283 0.3120 22 0.4936 0.4651 0.4392 0.4154 0.3934 0.3729 0.3537 0.3356 0.3186 23 0.5147 0.4829 0.4545 0.4287 0.4050 0.3832 0.3628 0.3438 0.3259 24 0.5404 0.5041 0.4724 0.4440 0.4183 0.3948 0.3731 0.3529 0.3341 25 0.5727 0.5299 0.4936 0.4619 0.4336 0.4081 0.3847 0.3631 0.3431 Table 3.3 Bearing Capacity Factors N. Na N, N. N. N, 5.14 1.00 0.00 26 22.25 11.85 12.54 5.38 5.63 1.09 0.07 27 23.94 13.20 14.47 1.20 0.15 28 25.80 14.72 16.72 3 5.90 1.31 0.24 29 27.86 16.44 19.34 4 6.19 1.43 1.57 0.34 30 30.14 18.40 22.40 6.49 0.45 31 32.67 20.63 25.99 6. 6.81 1.72 0.57 32 35.49 23.18 30.22 7 7.16 1.88 0.71 33 38.64 26.09 35.19 8 7.53 2.06 0.86 34 42.16 29.44 41.06 9. 7.92 2.25 1.03 1.22 35 46.12 33.30 48.03 10 8.35 2.47 36 50.59 37.75 56.31 11 8.80 2.71 1.44 37 55.63 42.92 66.19 12 9.28 2.97 1.69 38 61.35 48.93 78.03 13 9.81 3.26 1.97 39 67.87 55.96 92.25 14 10.37 3.59 2.29 40 75.31 64.20 109.41 15 10.98 3.94 2.65 41 83.86 73.90 130.22 16 11.63 4.34 3.06 42 93.71 85.38 155.55 17 12.34 4.77 3.53 43 105.11 99.02 186.54 18 13.10 5.26 4.07 44 118.37 115.31 224.64 19 13.93 5.80 4.68 45 133.88 134.88 271.76 20 14.83 6.40 5.39 46 152.10 158.51 330.35 21 15.82 7.07 6.20 47 173.64 187.21 403.67 22 16.88 7.82 7.13 48 199.26 222.31 496.01 23 18.05 8.66 8.20 49 229.93 265.51 613.16 24 19.32 9.60 9.44 50 266.89 319.07 762.89 25 20.72 10.66 10.88
In Problems 8.1 through 8.4, use younente = 23.58 kN/m'. Also, in Eq. (8.1I), use k¡ = kz = 2/3 and P, = 0. (EV) tan (k,6;) + Bk,c'; + P, FS(sdng) (8.11) P, cosa 8.2 For the cantilever retaining wall shown in Figure P8.1, let the following data be given: Wall dimensions: H = 6.5 m, x, = 0.3 m, x, = 0.6 m, x, = 0.8 m, x, = 2 m, X3 = 0.8 m, D = 1.5 m, a = 0° Y = 18.08 kN/m², d = 36°, y; = 19.65 kN/m', ¢'; = 15°,c', = 30 kN/m² Soil properties: Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Figure P8.1
Transcribed Image Text:In Problems 8.1 through 8.4, use younente = 23.58 kN/m'. Also, in Eq. (8.1I), use k¡ = kz = 2/3 and P, = 0. (EV) tan (k,6;) + Bk,c'; + P, FS(sdng) (8.11) P, cosa 8.2 For the cantilever retaining wall shown in Figure P8.1, let the following data be given: Wall dimensions: H = 6.5 m, x, = 0.3 m, x, = 0.6 m, x, = 0.8 m, x, = 2 m, X3 = 0.8 m, D = 1.5 m, a = 0° Y = 18.08 kN/m², d = 36°, y; = 19.65 kN/m', ¢'; = 15°,c', = 30 kN/m² Soil properties: Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Figure P8.1
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