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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer 8.2
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
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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