What is the cohesion shape factor \lambda_{cs}λcs​?  1.147 None of the choices 1.189 1.379 1.259 1.444

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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A 1.65m wide square footing is embedded 1.81m beneath the ground surface. The soil about the ground water table has a unit weight of 16.79 kN/m3, saturated unit weight of 19.86 kN/m3, and an unconfined compressive strength of 134 kPa (hint: half of this is the cohesion). The angle of internal friction is 18 degrees.

The load acting on the column are given below. Assume a plan view where B is parallel to x-axis and L is parallel to the y-axis

 

  • Vertical axial load = 256kN
  • My = 65kNm
  • Mx = 40kNm

The groundwater table is 0.65m above the base of the footing. The factor of safety is 3.0. 

The Meyerhof bearing capacity factors are given below:

What is the cohesion shape factor \lambda_{cs}λcs​? 

1.147

None of the choices

1.189

1.379

1.259

1.444

Please answer this asap. For upvote. Thank you very much

Shape Factors
Component
For o = 0
For o > 10
Cohesion
Aa =1+0.2
d =1+0.2
tan 45 +
Surcharge
dg = 1
=1+0.1
tan 45 +
Unit Weight
Ayn = 1
Ay = Ag
Depth Factors
Component
For = 0°
For o > 10°
Cohesion
Aed =1+0.2
Aed =1+0.2
tan 45+
Surcharge
Agd = 1
Agr = 1+0.1
tan 45 +
B
Unit Weight
Ayd = 1
Ayd = Agd
Inclination Factors
Component
Formula
Cohesion
di =
90°
Surcharge
90
B- width of the footing
D, = depth of footing
L- length of the footing
Unit Weight
Transcribed Image Text:Shape Factors Component For o = 0 For o > 10 Cohesion Aa =1+0.2 d =1+0.2 tan 45 + Surcharge dg = 1 =1+0.1 tan 45 + Unit Weight Ayn = 1 Ay = Ag Depth Factors Component For = 0° For o > 10° Cohesion Aed =1+0.2 Aed =1+0.2 tan 45+ Surcharge Agd = 1 Agr = 1+0.1 tan 45 + B Unit Weight Ayd = 1 Ayd = Agd Inclination Factors Component Formula Cohesion di = 90° Surcharge 90 B- width of the footing D, = depth of footing L- length of the footing Unit Weight
$ (deg) N.
N
O (deg)
N.
N,
5-14
1.00
0.000
26
22.25
11.85
8.002
5-38
1.09
0.002
27
23.94
13.20
9-463
5.63
28
25.80
1.20
0.010
14.72
11.190
3.
5-90
131
0.023
29
27.86
16.44
13.236
4.
6.19
1.43
0.042
30
30.14
18.40
15.668
6.49
1.57
0.070
31
32.67
20.63
18.668
6.
6.81
1.72
0.106
35-49
23.18
32
22.022
7.16
1.88
0.152
33
38.64
26.09
26.166
8.
7-53
2.06
0.209
34
42.16
29.44
31.145
6.
7-92
2.25
0.280
35
46.12
33-30
37-152
10
8.35
2.47
0.367
36
50.59
37-75
44426
11
8.80
2.71
0.471
37
55,63
42.92
53-270
12
9-28
2.97
0.596
38
61.35
48.93
64.073
13
9.81
3-26
0.744
39
67.87
55-96
7-332
14
10.37
3-59
0.921
40
75-31
64.20
93-690
15
10.98
3-94
1.129
41
83.86
73-90
113.985
16
11.63
434
1.375
42
93-71
85-38
139-985
17
12.34
477
1.664
43
105.11
99.02
171.141
18
13.10
5-26
2.003
44
118.37
115.31
211.406
19
13-93
5.80
2.403
45
133.88
134.88
262.739
14.83
6.40
2.871
46
158.51
328.728
20
152.10
21
15.82
7.07
3-421
47
173.64
187.21
414-322
22
16.88
7.82
4,066
48
199.26
222.31
526.444
23
18.05
8.66
4,824
49
229-93
265-51
674-908
24
19-32
9.60
5-716
50
266.89
319.07
873.843
25
20.72
10.66
6.765
Transcribed Image Text:$ (deg) N. N O (deg) N. N, 5-14 1.00 0.000 26 22.25 11.85 8.002 5-38 1.09 0.002 27 23.94 13.20 9-463 5.63 28 25.80 1.20 0.010 14.72 11.190 3. 5-90 131 0.023 29 27.86 16.44 13.236 4. 6.19 1.43 0.042 30 30.14 18.40 15.668 6.49 1.57 0.070 31 32.67 20.63 18.668 6. 6.81 1.72 0.106 35-49 23.18 32 22.022 7.16 1.88 0.152 33 38.64 26.09 26.166 8. 7-53 2.06 0.209 34 42.16 29.44 31.145 6. 7-92 2.25 0.280 35 46.12 33-30 37-152 10 8.35 2.47 0.367 36 50.59 37-75 44426 11 8.80 2.71 0.471 37 55,63 42.92 53-270 12 9-28 2.97 0.596 38 61.35 48.93 64.073 13 9.81 3-26 0.744 39 67.87 55-96 7-332 14 10.37 3-59 0.921 40 75-31 64.20 93-690 15 10.98 3-94 1.129 41 83.86 73-90 113.985 16 11.63 434 1.375 42 93-71 85-38 139-985 17 12.34 477 1.664 43 105.11 99.02 171.141 18 13.10 5-26 2.003 44 118.37 115.31 211.406 19 13-93 5.80 2.403 45 133.88 134.88 262.739 14.83 6.40 2.871 46 158.51 328.728 20 152.10 21 15.82 7.07 3-421 47 173.64 187.21 414-322 22 16.88 7.82 4,066 48 199.26 222.31 526.444 23 18.05 8.66 4,824 49 229-93 265-51 674-908 24 19-32 9.60 5-716 50 266.89 319.07 873.843 25 20.72 10.66 6.765
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