Dari persamaan 2.7, daya dukung kapasitas ijin tiang Q
a
:
SF Q
Q
u a
=
= 5
, 2
78 ,
367 ton
= 147,11 ton
4.2.2 Perhitungan Kapasitas Daya Dukung Tiang dengan Metode Meyerhoff pada Titik 3 S-3
Data yang di peroleh dari S-3, pada kedalaman 1 meter yakni: Data tiang:
Diameter tiang D : 50 cm
Keliling tiang : π . 50 = 157,08 cm
Mutu Beton : K-500
Luas Tiang Ap :
2
. .
4 1
D π
:
2
50 .
. 4
1 π
= 1963,50 cm
2
Perlawanan penetrasi konus PPK, q
c
= 11 kgcm
2
Jumlah Hambatan Lekat JHL = 30 kgcm Dari persamaan 2.8, kapasitas daya dukung pondasi tunggal Q
ult
: Q
ult
= q
c .
A
p
+ JH . K = 11 . 1963,50 + 30 . 157,08
= 26310,9kg = 26,31 ton
Dari persamaan 2.9, kapasitas daya dukung ijin pondasi Q
ijin
:
S K
JHL A
x q
Q
p c
ijin
. 3
+ =
Universitas Sumatera Utara
5 08
, 157
. 30
3 5
, 1963
11 +
= x
= 8141,98 kg = 8,142 ton.
Daya dukung terhadap kekuatan tanah untuk tiang tarik:
ult
T = JHL x K = 30 x 157,08 = 4712,4 kg = 4,7124 ton Daya dukung ijin tarik:
ijin
Q =
3
ult
T =
3 7124
, 4
= 1,5708 ton = 1570,8 kg Daya dukung pada kekuatan bahan:
tiang
P = 0,45 x
bk
σ x
p
A = 0,45 x 500 kgcm² x 1963,50
= 441787,5 kg = 441,788 ton
Tabel 4.1 Perhitungan Daya Dukung Tiang Pancang pada Titik S-01
Kedalaman PPK
Ap JHL
K11 qc
cm² kgcm²
cm Qwp
Qws Qult
Qijin kgcm2
ton ton
ton
1963.5 157.08
0.2 2
1963.5 6
157.08 3.927
0.94248 4.86948
1.4975 0.4
9 1963.5
12 157.08
17.6715 1.88496
19.5565 6.26749
0.6 18
1963.5 18
157.08 35.343
2.82744 38.1704
12.3465 0.8
23 1963.5
26 157.08
45.1605 4.08408
49.2446 15.8703
1 27
1963.5 34
157.08 53.0145
5.34072 58.3552
18.7396 1.2
30 1963.5
42 157.08
58.905 6.59736
65.5024 20.9545
1.4 21
1963.5 50
157.08 41.2335
7.854 49.0875
15.3153 1.6
24 1963.5
58 157.08
47.124 9.11064
56.2346 17.5301
1.8 31
1963.5 66
157.08 60.8685
10.3673 71.2358
22.363 2
32 1963.5
76 157.08
62.832 11.9381
74.7701 23.3316
2.2 50
1963.5 86
157.08 98.175
13.5089 111.684
35.4268 2.4
70 1963.5
96 157.08
137.445 15.0797
152.525 48.8309
2.6 92
1963.5 108
157.08 180.642
16.9646 197.607
63.6069
Universitas Sumatera Utara
2.8 95
1963.5 122
157.08 186.533
19.1638 205.696
66.0103 3
62 1963.5
134 157.08
121.737 21.0487
142.786 44.7887
3.2 62
1963.5 144
157.08 121.737
22.6195 144.357
45.1029 3.4
54 1963.5
152 157.08
106.029 23.8762
129.905 40.1182
3.6 70
1963.5 164
157.08 137.445
25.7611 163.206
50.9672 3.8
78 1963.5
178 157.08
153.153 27.9602
181.113 56.643
4 92
1963.5 194
157.08 180.642
30.4735 211.116
66.3087 4.2
85 1963.5
208 157.08
166.898 32.6726
199.57 62.167
4.4 93
1963.5 222
157.08 182.606
34.8718 217.477
67.8429 4.6
91 1963.5
236 157.08
178.679 37.0709
215.749 66.9737
4.8 88
1963.5 250
157.08 172.788
39.27 212.058
65.45 5
82 1963.5
266 157.08
161.007 41.7833
202.79 62.0257
5.2 88
1963.5 282
157.08 172.788
44.2966 217.085
66.4553 5.4
88 1963.5
300 157.08
172.788 47.124
219.912 67.0208
5.6 91
1963.5 318
157.08 178.679
49.9514 228.63
69.5498 5.8
106 1963.5
336 157.08
208.131 52.7789
260.91 79.9328
6 108
1963.5 356
157.08 212.058
55.9205 267.978
81.8701 6.2
131 1963.5
378 157.08
257.219 59.3762
316.595 97.6147
6.4 142
1963.5 406
157.08 278.817
63.7745 342.591
105.694 6.6
164 1963.5
428 157.08
322.014 67.2302
389.244 120.784
6.8 158
1963.5 452
157.08 310.233
71.0002 381.233
117.611 7
154 1963.5
474 157.08
302.379 74.4559
376.835 115.684
7.2 121
1963.5 494
157.08 237.584
77.5975 315.181
94.714 7.4
142 1963.5
510 157.08
278.817 80.1108
358.928 108.961
7.6 134
1963.5 532
157.08 263.109
83.5666 346.676
104.416 7.8
144 1963.5
556 157.08
282.744 87.3365
370.08 111.715
8 120
1963.5 570
157.08 235.62
89.5356 325.156
96.4471 8.2
152 1963.5
594 157.08
298.452 93.3055
391.758 118.145
8.4 145
1963.5 616
157.08 284.708
96.7613 381.469
114.255 8.6
110 1963.5
636 157.08
215.985 99.9029
315.888 91.9756
8.8 82
1963.5 654
157.08 161.007
102.73 263.737
74.2151 9
85 1963.5
674 157.08
166.898 105.872
272.769 76.8069
9.2 117
1963.5 692
157.08 229.73
108.699 338.429
98.3164 9.4
114 1963.5
712 157.08
223.839 111.841
335.68 96.9812
9.6 95
1963.5 732
157.08 186.5325 114.9826 301.5151 85.17401 9.8
110 1963.5
748 157.08
215.985 117.4958 333.4808 95.49417 10
106 1963.5
766 157.08
208.131 120.3233 328.4543 93.44166 10.2
103 1963.5
784 157.08 202.2405 123.1507 325.3912 92.04364
10.4 91
1963.5 802
157.08 178.6785 125.9782 304.6567 84.75513 10.6
82 1963.5
820 157.08
161.007 128.8056 289.8126 79.43012 10.8
94 1963.5
836 157.08
184.569 131.3189 315.8879 87.78678
Universitas Sumatera Utara
11 105
1963.5 856
157.08 206.1675 134.4605 340.628 95.6146
11.2 100
1963.5 876
157.08 196.35
137.6021 333.9521 92.97042 11.4
116 1963.5
894 157.08
227.766 140.4295 368.1955 104.0079 11.6
112 1963.5
912 157.08
219.912 143.257
363.169 101.9554 11.8
131 1963.5
934 157.08 257.2185 146.7127 403.9312 115.082
12 157
1963.5 956
157.08 308.2695 150.1685 458.438 132.7902 12.2
161 1963.5
978 157.08 316.1235 153.6242 469.7477 136.0993
12.4 172
1963.5 1002
157.08 337.722 157.3942 495.1162 144.0528
Tabel 4.2 Perhitungan Daya Dukung Tiang Pancang pada Titik S-02
Kedalaman PPK
Ap JHL
K11 qc
cm2 kgcm
cm Qwp
Qws Qult
Qijin kgcm2
ton ton
ton
1963.5 157.08
0.2 5
1963.5 6
157.08 9.8175 0.94248
10.76 3.461
0.4 9
1963.5 12
157.08 17.6715 1.88496 19.5565
6.26749 0.6
21 1963.5
20 157.08 41.2335 3.1416
44.3751 14.3728
0.8 24
1963.5 28
157.08 47.124 4.39824
51.5222 16.5876
1 30
1963.5 36
157.08 58.905 5.65488
64.5599 20.766
1.2 36
1963.5 44
157.08 70.686 6.91152
77.5975 24.9443
1.4 34
1963.5 52
157.08 66.759 8.16816
74.9272 23.8866
1.6 32
1963.5 58
157.08 62.832 9.11064
71.9426 22.7661
1.8 36
1963.5 66
157.08 70.686 10.3673
81.0533 25.6355
2 41
1963.5 74
157.08 80.5035 11.6239 92.1274
29.1593 2.2
48 1963.5
82 157.08
94.248 12.8806 107.129
33.9921 2.4
54 1963.5
90 157.08 106.029 14.1372
120.166 38.1704
2.6 46
1963.5 100
157.08 90.321
15.708 106.029
33.2486 2.8
51 1963.5
110 157.08 100.139 17.2788
117.417 36.8353
3 50
1963.5 120
157.08 98.175 18.8496
117.025 36.4949
3.2 57
1963.5 130
157.08 111.92 20.4204
132.34 41.3906
3.4 54
1963.5 140
157.08 106.029 21.9912 128.02
39.7412 3.6
55 1963.5
150 157.08 107.993 23.562
131.555 40.7099
3.8 62
1963.5 160
157.08 121.737 25.1328 146.87
45.6056 4
61 1963.5
172 157.08 119.774 27.0178
146.791 45.3281
4.2 64
1963.5 184
157.08 125.664 28.9027 154.567
47.6685 4.4
61 1963.5
196 157.08 119.774 30.7877
150.561 46.082
4.6 63
1963.5 206
157.08 123.701 32.3585 156.059
47.7052 4.8
62 1963.5
216 157.08 121.737 33.9293
155.666 47.3649
5 65
1963.5 226
157.08 127.628 35.5001 163.128
49.6425 5.2
78 1963.5
238 157.08 153.153 37.385
190.538 58.528
Universitas Sumatera Utara
Tabel 4.3 Perhitungan Daya Dukung Tiang Pancang pada Titik S-03
Kedalaman PPK
Ap JHL
K11 qc
cm2 kgcm
cm Qwp
Qws Qult
Qijin kgcm2
ton ton
ton
1963.5 157.08
0.2 2
1963.5 6
157.08 3.927
0.94248 4.86948 1.4975
0.4 9
1963.5 12
157.08 17.6715 1.88496 19.5565
6.26749 0.6
31 1963.5
18 157.08
60.8685 2.82744 63.6959 20.855
0.8 12
1963.5 24
157.08 23.562
3.76992 27.3319 8.60798
1 11
1963.5 30
157.08 21.5985
4.7124 26.3109 8.14198
1.2 23
1963.5 36
157.08 45.1605 5.65488 50.8154
16.1845 1.4
47 1963.5
44 157.08
92.2845 6.91152 99.196 32.1438
1.6 54
1963.5 52
157.08 106.029 8.16816 114.197
36.9766 1.8
62 1963.5
62 157.08
121.737 9.73896 131.476 42.5268
2 65
1963.5 72
157.08 127.628 11.3098 138.937
44.8045 2.2
58 1963.5
80 157.08
113.883 12.5664 126.449 40.4743
2.4 47
1963.5 88
157.08 92.2845
13.823 106.108 33.5261
2.6 86
1963.5 98
157.08 168.861 15.3938 184.255
59.3658 5.4
74 1963.5
250 157.08 145.299
39.27 184.569
56.287 5.6
89 1963.5
262 157.08 174.752 41.155
215.906 66.4815
5.8 82
1963.5 274
157.08 161.007 43.0399 204.047
62.277 6
91 1963.5
288 157.08 178.679 45.239
223.918 68.6073
6.2 100
1963.5 302
157.08 196.35 47.4382
243.788 74.9376
6.4 88
1963.5 316
157.08 172.788 49.6373 222.425
67.5235 6.6
100 1963.5
332 157.08
196.35 52.1506 248.501
75.8801 6.8
108 1963.5
352 157.08 212.058 55.2922
267.35 81.7444
7 116
1963.5 368
157.08 227.766 57.8054 285.571
87.4831 7.2
140 1963.5
384 157.08
274.89 60.3187 335.209
103.694 7.4
100 1963.5
400 157.08
196.35 62.832
259.182 78.0164
7.6 87
1963.5 416
157.08 170.825 65.3453 236.17
70.0106 7.8
91 1963.5
434 157.08 178.679 68.1727
246.851 73.194
8 81
1963.5 446
157.08 159.044 70.0577 229.101
67.026 8.2
62 1963.5
458 157.08 121.737 71.9426
193.68 54.9675
8.4 105
1963.5 478
157.08 206.168 75.0842 281.252
83.7393 8.6
135 1963.5
500 157.08 265.073
78.54 343.613
104.066 8.8
160 1963.5
516 157.08
314.16 81.0533 395.213
120.931 9
160 1963.5
536 157.08
314.16 84.1949 398.355
121.559 9.2
184 1963.5
558 157.08 361.284 87.6506
448.935 137.958
9.4 208
1963.5 582
157.08 408.408 91.4206 499.829
154.42
Universitas Sumatera Utara
2.8 56
1963.5 106
157.08 109.956 16.6505 126.606
39.9821 3
57 1963.5
114 157.08
111.92 17.9071 129.827
40.8879 3.2
53 1963.5
122 157.08
104.066 19.1638 123.229 38.5213
3.4 56
1963.5 132
157.08 109.956 20.7346 130.691
40.7989 3.6
60 1963.5
142 157.08
117.81 22.3054 140.115
43.7311 3.8
65 1963.5
152 157.08
127.628 23.8762 151.504 47.3177
4 80
1963.5 162
157.08 157.08
25.447 182.527 57.4494
4.2 88
1963.5 174
157.08 172.788 27.3319 200.12
63.0624 4.4
100 1963.5
184 157.08
196.35 28.9027 225.253
71.2305 4.6
110 1963.5
200 157.08
215.985 31.416 247.401
78.2782 4.8
167 1963.5
212 157.08
327.905 33.301 361.205
115.962 5
147 1963.5
228 157.08
288.635 35.8142 324.449 103.374
5.2 104
1963.5 244
157.08 204.204 38.3275 242.532
75.7335 5.4
89 1963.5
256 157.08
174.752 40.2125 214.964 66.293
5.6 67
1963.5 268
157.08 131.555 42.0974 173.652
52.271 5.8
116 1963.5
278 157.08
227.766 43.6682 271.434 84.6556
6 136
1963.5 294
157.08 267.036 46.1815 313.218
98.2483 6.2
180 1963.5
310 157.08
353.43 48.6948 402.125
127.549 6.4
110 1963.5
330 157.08
215.985 51.8364 267.821 82.3623
6.6 159
1963.5 346
157.08 312.197 54.3497 366.546
114.935 6.8
127 1963.5
362 157.08
249.365 56.863 306.227
94.4941 7
147 1963.5
378 157.08
288.635 59.3762 348.011 108.087
7.2 182
1963.5 396
157.08 357.357 62.2037 419.561
131.56 7.4
185 1963.5
416 157.08
363.248 65.3453 428.593 134.152
7.6 220
1963.5 436
157.08 431.97
68.4869 500.457 157.687
Tabel 4.4 Perhitungan Daya Dukung Tiang Pancang pada Titik S-04
PPK Ap
JHL K11
qc cm2
kgcm cm
Qwp Qws
Qult Qijin
kgcm2 ton
ton ton
1963.5 157.08
0.2 5
1963.5 6
157.08 9.8175
0.94248 10.76
3.461 0.4
15 1963.5
12 157.08
29.4525 1.88496 31.3375
10.1945 0.6
20 1963.5
20 157.08
39.27 3.1416
42.4116 13.7183
0.8 17
1963.5 26
157.08 33.3795 4.08408
37.4636 11.9433
1 75
1963.5 38
157.08 147.263 5.96904
153.232 50.2813
1.2 95
1963.5 48
157.08 186.533 7.53984
194.072 63.6855
1.4 60
1963.5 58
157.08 117.81
9.11064 126.921
41.0921 1.6
55 1963.5
68 157.08
107.993 10.6814 118.674
38.1338 1.8
54 1963.5
76 157.08
106.029 11.9381 117.967
37.7306
Universitas Sumatera Utara
2 42
1963.5 86
157.08 82.467
13.5089 95.9759
30.1908 2.2
60 1963.5
96 157.08
117.81 15.0797
132.89 42.2859
2.4 57
1963.5 104
157.08 111.92
16.3363 128.256
40.5738 2.6
60 1963.5
114 157.08
117.81 17.9071
135.717 42.8514
2.8 56
1963.5 124
157.08 109.956 19.4779
129.434 40.5476
3 59
1963.5 136
157.08 115.847 21.3629
137.209 42.8881
3.2 64
1963.5 150
157.08 125.664
23.562 149.226
46.6004 3.4
72 1963.5
162 157.08
141.372 25.447
166.819 52.2134
3.6 65
1963.5 176
157.08 127.628 27.6461
155.274 48.0717
3.8 71
1963.5 190
157.08 139.409 29.8452
169.254 52.4385
4 88
1963.5 202
157.08 172.788 31.7302
204.518 63.942
4.2 108
1963.5 218
157.08 212.058 34.2434
246.301 77.5347
4.4 124
1963.5 234
157.08 243.474 36.7567
280.231 88.5093
4.6 168
1963.5 248
157.08 329.868 38.9558
368.824 117.747
4.8 143
1963.5 264
157.08 280.781 41.4691
322.25 101.887
5 140
1963.5 280
157.08 274.89
43.9824 318.872
100.426 5.2
143 1963.5
298 157.08
280.781 46.8098 327.59
102.955 5.4
141 1963.5
316 157.08
276.854 49.6373 326.491
102.212 5.6
110 1963.5
330 157.08
215.985 51.8364 267.821
82.3623 5.8
121 1963.5
348 157.08
237.584 54.6638 292.247
90.1273 6
150 1963.5
364 157.08
294.525 57.1771 351.702
109.61 6.2
165 1963.5
384 157.08
323.978 60.3187 384.296
120.056 6.4
181 1963.5
404 157.08
355.394 63.4603 418.854
131.157 6.6
208 1963.5
428 157.08
408.408 67.2302 475.638
149.582 6.8
216 1963.5
450 157.08
424.116 70.686
494.802 155.509
4.3 Menghitung Kapasitas Daya Dukung Tiang dari Data SPT
