S o a l 1 :
Pe m b u a t a n Re s p o n s S p e k t r u m
B u a t l a h s u a t u a p l i k a s i d a r i p r o s e d u r p e m b u a t a n r e s p o n s s p e k t r u m
d a r i s t r o n g m o t i o n r e c o r d
( r e k a m a n g e t a r a n k u a t ) g e m p a - g e m p a
y a n g t e r s e b u t d i b a w a h i n i :
G e m p a E l - C e n t r o 1 8 M e i 1 9 4 0
G e m p a L o m a P r i e t a 1 8 O k t o b e r 1 9 8 9
G e m p a N o r t h r i d g e 1 8 J a n u a r i 1 9 9 4
G e m p a K o c a e l i ( Tu r k i ) 1 7 A g u s t u s 1 9 9 9
Solusi :
P r o s e d u r P e m b u a t a n S p e k t r u m Re s p o n s
Akan diberikan garis besar prosedur pembuatan spektrum respons dari suatu
rekaman getaran tanah (ground motion record) time history percepatan.
Langkah 1:
Menentukan model struktur SDOF
W = mg
(t)
k c k
Gambar 1. Model Sistem SDOF
Langkah 2:
Menyediakan data rekaman percepatan getaran tanah (ground motion record)
Gambar 2. Time history percepatan suatu gempa bumi
Langkah 3:
Menentukan hubungan kekakuan-deformasi dan hubungan gaya
redaman-kecepatan
Gambar 3. Hubungan gaya redaman-kecepatan dan kekakuan-deformasi. Terdapat dua
Sistem Kekakuan Sistem Massa
dt
p
(t)
(b) Sistem Massa-Rangka/Portal
(kondisi
formasi akibat gaya luar
Fixed
Support
Sistem Redamanpilihan dalam hubungan tersebut yaitu: linear (elastik) dan non-linear.
Langkah 4:
Merumuskan persamaan gerakan sistem SDOF (osilator) dengan perioda getar
fundamental
T
ndan rasio redaman
yang tertentu,sbb:
)
(
)
(
)
(
)
(
y
t
a
t
m
k
t
y
m
c
t
y
)
(
)
(
)
(
2
)
(
t
y
t
2y
t
a
t
y
n
n
dimana:
n n
T
2
;
nm
c
2
;
n2m
k
Langkah 5:
Solusi persamaan diferensial gerak untuk mendapatkan nilai simpangan y(t)
pada perioda getar
T
ndan rasio redaman
yang tertentu dengan pilihan
metoda-metoda integrasi numerik, sbb:
1. Metoda-metoda integrasi numerik,
Metoda kecepatan konstan
Metoda percepatan linear
Metoda central difference
Metoda
-Newmark
- Formulasi linear elastik
- Formulasi linear incremental (in-elastik)
Metoda Wilson-
2. Integrasi Duhamel
t
d
e
t
a
t
y
dt
d
)
(
sin
)
(
1
)
(
Langkah 6:
Plot kurva displasemen-waktu atau buat kurva spektrum perpindahan. Tentukan
nilai maksimum absolut perpindahan untuk perioda fundamental dan rasio
redaman tertentu.
SD
(
,
T
n) = maks | y(t) |
Langkah 7:
Hitung percepatan spektra berdasar simpangan maksimum absolut
SD
yang
diperoleh, menggunakan rumus:
SA
(
,
T
n) =
n2SD
=
2
2
n
T
SD
Plot spektra akselerasi yang diperoleh untuk peroda getar Tn dan
rasio redaman
yang tertentu.
Langkah 8:
percepatan ini harus diulangi sebanyak
n
perioda getar (sejumlah yang
diperlukan) pada suatu rasio redaman
yang sama.
P r o g r a m A p l i k a s i
S p e k t r u m R e s p o n s
NUVIB Version 1.01 (Northwestern University
Vibration Analysis Program
SeismoSignal Version 3.1.0
1.
Gempa Elcentro 1940, komponen NS
Rekaman Getaran Tanah Gempa Elcentro
PGA
= 0.3194 g (g = 9.81 m/s^2)
V MAKS
= 49.354 m/s
ZONA = Intermediate A/V Records, 0.8g < A/V < 1.2g (m/s) PERIODE GETARAN KUAT = 11 Detik (Program Seismosignal)
LOKASI ACCELEROMETER = Imperial Valley, California LOKASI EPISENTRAL = El Centro
JARAK EPISENTRAL = 8.0 km
JENIS BATUAN/TANAH = ROCK/STIFF SOIL INTENSITAS = 6.6 RICHTER MMI = X
Tabel 1
. Strong Motion Record Gempa Elcentro 1940, komponen NS
0.00000 .01080 .04200 .00100 .09700 .01590.16100 -.00010 .22100 .01890 .26300 .00010 .29100 .00590 .33200 -.00120 .37400 .02000 .42900 -.02370 .47100 .00760 .58100 .04250 .62300 .00940 .66500 .01380 .72000 -.00880 .72010 -.02560 .78900 -.03870 .78910 -.05680 .87200 -.02320 .87210 -.03430 .94100 -.04020 .94110 -.06030 .99700 -.07890 1.06600 -.06660 1.06610 -.03810 1.09400 -.04290 1.16800 .08970 1.31500 -.16960 1.38400 -.08280 1.41200 -.08280 1.44000 -.09450 1.48100 -.08850 1.50900 -.10800 1.53700 -.12800 1.62800 .11440 1.70300 .23550 1.80000 .14280 1.85500 .17770 1.92400 -.26100 2.00700 -.31940 2.21500 .29520 2.27000 .26340 2.32000 -.29840 2.39500 .00540 2.45000 .28650 2.51900 -.04690 2.57500 .15160 2.65200 .20770 2.70800 .10870 2.76900 -.03250 2.89300 .10330 2.97600 -.08030 3.06800 .05200 3.12900 -.15470 3.21200 .00650 3.25300 -.20600 3.38600 .19270 3.41900 -.09370 3.53000 .17080 3.59900 -.03590 3.66800 .03650 3.73800 -.07360 3.83500 .03110 3.90400 -.18330 4.01400 .02270 4.05600 -.04350 4.10600 .02160 4.22200 -.19720 4.31400 -.17620 4.41600 .14600 4.47100 -.00470 4.61800 .25720 4.66500 -.20450 4.75600 .06080 4.83100 -.27330 4.97000 .17790 5.03900 .03010 5.10800 .21830 5.19900 .02670 5.23300 .12520 5.30200 .12900 5.33000 .10890 5.34300 -.02390 5.45400 .17230 5.51000 -.10210 5.60600 .01410 5.69000 -.19490 5.77300 -.02420 5.80000 -.00500 5.80900 -.02750 5.86900 -.05730 5.88300 -.03270 5.92500 .02160 5.98000 .01080 6.01300 .02350 6.08500 -.06650 6.13200 .00140 6.17400 .04930 6.18800 .01490 6.18810 -.02000 6.22900 -.03810 6.27900 .02070 6.32600 -.00580 6.36800 -.06030 6.38200 -.01620 6.40900 .02000 6.45900 -.01760 6.47800 -.00330 6.52000 .00430 6.53400 -.00400 6.56200 -.00990 6.57500 -.00170 6.60300 -.01700 6.64500 .03730
6.68600 .04570 6.71400 .03850 6.72800 .00090 6.76900 -.02880 6.76910 .00160 6.81100 .01130 6.85200 .00220 6.90800 .00920 6.99100 -.09960
Gambar 3. Plot Time History Percepatan Gempa El-Centro 1940
2.
Gempa Loma Prieta 18 Oktober 1989
Rekaman Getaran Tanah Gempa Loma Prieta
PGA
= 0.2498 g (g = 9.81 m/s^2)
V MAKS
= 43.296 m/s
PERIODE GETARAN KUAT = 20.53 Detik
LOKASI ACCELEROMETER = Emeryville, California JARAK EPISENTRAL = 80 km
LOKASI EPISENTRAL = San Andreas Fault (Santa Cruz Mountain)
MAGNITUDE = 7.1 Ms
Tabel 2. Strong Motion Record Gempa Loma Prieta 1989 (t diambil selama 12.72 detik)
0 0
0.01 -0.0035
0.02 -0.0088
0.03 -0.0121
0.04 -0.0103
0.05 -0.0064
0.06 -0.0047
0.07 -0.0059
0.08 -0.0075
0.09 -0.009
0.1 -0.0103
0.11 -0.0094
0.12 -0.0047
0.13 0.0014
0.14 0.0051
0.15 0.0058
0.16 0.005
0.17 0.0043
0.18 0.0049
0.19 0.0078
0.2 0.0111
0.21 0.0107
0.22 0.0052
0.23 -0.0017
0.24 -0.0048
0.25 -0.0029
0.26 0.002
0.27 0.0076
0.28 0.0114
0.29 0.011
0.3 0.0059
0.31 -0.0007
0.32 -0.0045
0.33 -0.0033
0.34 0.0012
0.35 0.0047
0.36 0.0043
0.37 0.0006
0.38 -0.003
0.39 -0.0044
0.4 -0.004
0.41 -0.0028
0.42 -0.0017
0.43 -0.0019
0.44 -0.0046
0.45 -0.0078
0.46 -0.0074
0.47 -0.0025
0.48 0.0037
0.49 0.0074
0.5 0.0083
0.51
0.0085
0.52
0.0085
0.53
0.0076
0.54
0.0059
0.55
0.0052
0.56
0.0064
0.57
0.008
0.58
0.0078
0.59
0.0061
0.6
0.0042
0
.61 0.00270.62 0.0016
0.63 0.0008
0.64 0.0008
0.65 0.0016
0.66 0.0026
0.67 0.0038
0.68 0.0046
0.69 0.0036
0.7 0.0006
0.71 -0.002
0.72 -0.0016
0.73 0.0006
0.74 0.0015
0.75 0.0007
0.76 0.0002
0.77 0.0005
0.78 -0.0001
0.79 -0.0023
0.8 -0.0057
0.81 -0.0097
0.82 -0.0132
0.83 -0.0148
0.84 -0.0136
0.85 -0.0112
0.86 -0.0091
0.87 -0.0072
0.88 -0.0057
0.89 -0.0062
0.9 -0.0085
0.91 -0.0089
0.92 -0.0057
0.93 -0.0016
0.94 0
0.95 -0.0008
0.96 -0.0022
0.97 -0.0039
0.98 -0.0059
0.99 -0.006
1 -0.003
1.01 0.0007
1.02 0.0019
1.03 0.0005
1.04 -0.0005
1.05 0
1.06 0.0009
1.07 0.001
1.08 0.0006
1.09 0.0001
1.1 0.0002
1.11 0.0014
1.12 0.0039
1.13 0.0064
1.14 0.007
1.15 0.0057
1.16 0.0042
1.17 0.004
1.18 0.005
1.19 0.0066
1.2 0.0077
1.21 0.0066
1.22 0.003
1.23 -0.0014
1.24 -0.0044
1.25 -0.0049
1.26 -0.0031
1.27 -0.0001
1.28 0.0019
1.29 0.0014
1.3 -0.0009
1.31 -0.0023
1.32 -0.0007
1.33 0.0041
1.34 0.0099
1.35 0.0131
1.36 0.0115
1.37 0.0074
1.38 0.0049
1.39 0.0052
1.4 0.0063
1.41 0.0066
1.42 0.0063
1.43 0.0056
1.44 0.0044
1.45 0.0026
1.46 0.0007
1.47 -0.0009
1.48 -0.0013
1.49 -0.0002
1.5 0.0018
1.51 0.0032
1.52 0.0037
1.53 0.0034
1.54 0.003
1.55 0.004
1.56 0.0065
1.57 0.0083
1.58 0.007
1.59 0.0034
1.6 0.0006
1.61 0.0002
1.62 0.0012
1.63 0.0025
1.64 0.0037
1.65 0.0038
1.66 0.0019
1.67 -0.0008
1.68 -0.0024
1.69 -0.0021
1.7 -0.001
1.71 -0.0009
1.72 -0.0025
1.73 -0.0062
1.74 -0.0115
1.75 -0.0174
1.76 -0.0213
1.77 -0.0201
1.78 -0.0136
1.79 -0.0061
1.8 -0.0029
1.81 -0.0047
1.82 -0.0079
1.83 -0.0085
1.84 -0.005
1.85 0.0022
1.86 0.0107
1.87 0.016
1.88 0.0145
1.89 0.0076
1.9 0.0004
1.91 -0.0021
1.92 0.0008
1.93 0.006
1.94 0.0084
1.95 0.0047
1.96 -0.0044
1.97 -0.014
1.98 -0.0196
1.99 -0.0205
2 -0.0199
2.01 -0.0213
2.02 -0.0253
2.03 -0.0305
2.04 -0.0344
2.05 -0.0352
2.06 -0.0325
2.07 -0.0278
2.08 -0.024
2.09 -0.0234
2.1 -0.0254
2.11 -0.0266
2.12 -0.0237
2.13 -0.0165
2.14 -0.0085
2.15 -0.0035
2.16 -0.0028
2.17 -0.0048
2.18 -0.0071
2.19 -0.0073
2.2 -0.003
2.21 0.0067
2.22 0.0193
2.23 0.0299
2.24 0.0353
2.25 0.0367
2.26 0.0383
2.27 0.0428
2.28 0.0484
2.29 0.0516
2.3 0.0511
2.31 0.0484
2.32 0.0455
2.33 0.0422
2.34 0.0373
2.35 0.0313
2.36 0.026
2.37 0.0213
2.38 0.0141
2.39 0.002
2.4 -0.0132
2.41 -0.027
2.42 -0.0374
2.43 -0.0451
2.44 -0.0511
2.45 -0.0552
2.46 -0.0575
3.08 -0.0317
3.09 -0.036
3.1 -0.0393
3.11 -0.0429
3.12 -0.0472
3.13 -0.0509
3.14 -0.0532
3.15 -0.0538
3.16 -0.0525
3.17 -0.0495
3.18 -0.0454
3.19 -0.0413
3.2 -0.0381
3.21 -0.0363
3.22 -0.0352
3.23 -0.0329
3.24 -0.0282
3.25 -0.0222
3.26 -0.0167
3.27 -0.0121
3.28 -0.0064
3.29 0.0013
3.3 0.0092
3.31 0.0152
3.32 0.0191
3.33 0.0222
3.34 0.0256
3.35 0.0285
3.36 0.0307
3.37 0.033
3.38 0.0362
3.39 0.0395
3.4 0.0423
3.41 0.0454
3.42 0.0499
3.43 0.0548
3.44 0.0565
3.45 0.0528
3.46 0.0452
3.47 0.0372
3.48 0.0307
3.49 0.0253
3.5 0.0205
3.51 0.0165
3.52 0.0125
3.53 0.0063
3.54 -0.0031
3.55 -0.0128
3.56 -0.0188
3.57 -0.0203
3.58 -0.0191
3.59 -0.0156
3.6 -0.0099
3.61 -0.0048
3.62 -0.004
3.63 -0.007
3.64 -0.0087
3.65 -0.0065
3.66 -0.0035
3.67 -0.0032
3.68 -0.0046
3.69 -0.0052
3.7 -0.0042
3.71 -0.0019
3.72 0.0015
3.73 0.0036
3.74 0.0007
3.75 -0.0077
3.76 -0.0173
3.77 -0.0238
3.78 -0.0266
3.79 -0.0275
3.8 -0.0277
5.01 -0.0914
5.02 -0.1003
5.03 -0.1082
5.04 -0.115
5.05 -0.1212
5.06 -0.1262
5.07 -0.129
5.08 -0.13
5.09 -0.1314
5.1 -0.1348
5.11 -0.1404
5.12 -0.1476
5.13 -0.1554
5.14 -0.1624
5.15 -0.1673
5.16 -0.1708
5.17 -0.1744
5.18 -0.1771
5.19 -0.1784
5.2 -0.1809
5.21 -0.1861
5.22 -0.1906
5.23 -0.192
5.24 -0.193
5.25 -0.195
5.26 -0.1957
5.27 -0.1968
5.28 -0.2032
5.29 -0.2058
5.3 -0.1829
5.31 -0.1301
5.32 -0.0733
5.33 -0.0377
5.34 -0.02
5.35 -0.0031
5.36 0.0182
5.37 0.0391
5.38 0.0595
5.39 0.082
5.4 0.1036
5.41 0.12
5.42 0.1326
5.43 0.1438
5.44 0.1531
5.45 0.1598
5.46 0.1658
5.47 0.1724
5.48 0.178
5.49 0.1798
5.5 0.1798
5.51 0.1843
5.52 0.1962
5.53 0.2108
5.54 0.2234
5.55 0.2368
5.56 0.2498
5.57 0.2479
5.58 0.2186
5.59 0.1728
5.6 0.1347
5.61 0.1136
5.62 0.1002
5.63 0.0883
5.64 0.0819
5.65 0.0835
5.66 0.0894
5.67 0.0972
5.68 0.108
5.69 0.1202
5.7 0.1296
5.71 0.1362
5.72 0.1434
5.73 0.152
6.94 0.2148
6.95 0.2185
6.96 0.2251
6.97 0.2322
6.98 0.235
6.99 0.2307
7 0.2201
7.01 0.2071
7.02 0.1948
7.03 0.1845
7.04 0.1757
7.05 0.1687
7.06 0.165
7.07 0.1654
7.08 0.1681
7.09 0.1705
7.1 0.1701
7.11 0.1639
7.12 0.1487
7.13 0.1233
7.14 0.092
7.15 0.0634
7.16 0.0442
7.17 0.0342
7.18 0.0278
7.19 0.0208
7.2 0.0132
7.21 0.0066
7.22 0.0014
7.23 -0.0038
7.24 -0.0106
7.25 -0.0194
7.26 -0.0284
7.27 -0.0353
7.28 -0.0392
7.29 -0.0404
7.3 -0.0398
7.31 -0.037
7.32 -0.0309
7.33 -0.0191
7.34 -0.0006
7.35 0.0221
7.36 0.0432
7.37 0.0576
7.38 0.0642
7.39 0.065
7.4 0.0629
7.41 0.0605
7.42 0.0584
7.43 0.0548
7.44 0.0479
7.45 0.039
7.46 0.0313
7.47 0.0263
7.48 0.0224
7.49 0.0182
7.5 0.0137
7.51 0.0091
7.52 0.0047
7.53 0.0006
7.54 -0.0039
7.55 -0.009
7.56 -0.0136
7.57 -0.016
7.58 -0.0163
7.59 -0.0162
7.6 -0.0161
7.61 -0.0152
7.62 -0.014
7.63 -0.014
7.64 -0.016
7.65 -0.0192
7.66 -0.0228
8.87 0.0765
8.88 0.0728
8.89 0.067
8.9 0.0593
8.91 0.0532
8.92 0.0511
8.93 0.0503
8.94 0.0467
8.95 0.0404
8.96 0.0341
8.97 0.0292
8.98 0.0255
8.99 0.0221
9 0.0183
9.01 0.0137
9.02 0.0085
9.03 0.0042
9.04 0.0014
9.05 -0.0011
9.06 -0.004
9.07 -0.0075
9.08 -0.0116
9.09 -0.017
9.1 -0.024
9.11 -0.0312
9.12 -0.0372
9.13 -0.0418
9.14 -0.0463
9.15 -0.0516
9.16 -0.0569
9.17 -0.061
9.18 -0.0629
9.19 -0.0634
9.2 -0.0641
9.21 -0.0664
9.22 -0.0702
9.23 -0.0744
9.24 -0.0773
9.25 -0.0778
9.26 -0.0766
9.27 -0.0756
9.28 -0.0757
9.29 -0.0753
9.3 -0.0722
9.31 -0.0671
9.32 -0.0628
9.33 -0.0609
9.34 -0.0602
9.35 -0.0589
9.36 -0.0561
9.37 -0.0524
9.38 -0.0493
9.39 -0.0489
9.4 -0.0513
9.41 -0.0547
9.42 -0.0565
9.43 -0.0565
9.44 -0.0556
9.45 -0.055
9.46 -0.0554
9.47 -0.0567
9.48 -0.0579
9.49 -0.058
9.5 -0.0567
9.51 -0.0541
9.52 -0.0509
9.53 -0.0477
9.54 -0.0446
9.55 -0.0417
9.56 -0.0393
9.57 -0.0373
9.58 -0.0344
9.59 -0.0295
10.8 -0.0166
10.81 -0.0137 10.82 -0.0104 10.83 -0.008 10.84 -0.007 10.85 -0.0059 10.86 -0.0029 10.87 0.0023 10.88 0.0076 10.89 0.011
10.9 0.0116
10.91 0.0105 10.92 0.0089 10.93 0.0077 10.94 0.0076 10.95 0.0093 10.96 0.0116 10.97 0.0125 10.98 0.0113 10.99 0.0093
11 0.0074
11.01 0.0048 11.02 0.0009 11.03 -0.0032 11.04 -0.0062 11.05 -0.0085 11.06 -0.0112 11.07 -0.0146 11.08 -0.0183 11.09 -0.0219
11.1 -0.0253
11.11 -0.0289 11.12 -0.0331 11.13 -0.0381 11.14 -0.0429 11.15 -0.0462 11.16 -0.0478 11.17 -0.0488 11.18 -0.0496 11.19 -0.0493
11.2 -0.0473
11.21 -0.0444 11.22 -0.0414 11.23 -0.0382 11.24 -0.0346 11.25 -0.0313 11.26 -0.0292 11.27 -0.0281 11.28 -0.027 11.29 -0.0262
11.3 -0.0264
11.31 -0.0278 11.32 -0.0297 11.33 -0.0312 11.34 -0.0323 11.35 -0.0331 11.36 -0.0333 11.37 -0.0322 11.38 -0.0294 11.39 -0.0253
11.4 -0.0212
11.41 -0.0178 11.42 -0.0147 11.43 -0.0109 11.44 -0.0064 11.45 -0.0024 11.46 0.0002 11.47 0.0014 11.48 0.002 11.49 0.0026
11.5 0.0043
3.81 -0.0288
3.82 -0.0333
3.83 -0.0416
3.84 -0.0512
3.85 -0.0588
3.86 -0.062
3.87 -0.0601
3.88 -0.054
3.89 -0.0465
3.9 -0.0406
3.91 -0.0364
3.92 -0.0315
3.93 -0.0241
3.94 -0.0149
3.95 -0.0049
3.96 0.005
3.97 0.0127
3.98 0.0164
3.99 0.0173
4 0.0184
4.01 0.0213
4.02 0.0254
4.03 0.0299
4.04 0.0352
4.05 0.041
4.06 0.0453
4.07 0.0465
4.08 0.0453
4.09 0.0441
4.1 0.0442
4.11 0.0452
4.12 0.0463
4.13 0.0471
4.14 0.0473
4.15 0.046
4.16 0.043
4.17 0.0387
4.18 0.0335
4.19 0.0259
4.2 0.0145
4.21 0.0005
4.22 -0.0132
4.23 -0.0257
4.24 -0.0393
4.25 -0.0554
4.26 -0.0712
4.27 -0.0822
4.28 -0.0872
4.29 -0.0892
4.3 -0.0921
4.31 -0.096
4.32 -0.0983
4.33 -0.0979
4.34 -0.0965
4.35 -0.0957
4.36 -0.0932
4.37 -0.0844
4.38 -0.0673
4.39 -0.0445
4.4 -0.0196
4.41 0.0038
4.42 0.0231
4.43 0.0372
4.44 0.0483
4.45 0.059
4.46 0.0685
4.47 0.0739
4.48 0.0749
4.49 0.0741
4.5 0.0718
4.51 0.0638
4.52 0.0471
4.53 0.024
4.54 0.0005
4.55 -0.0186
4.56 -0.0324
5.74 0.1593
5.75 0.1639
5.76 0.1666
5.77 0.1678
5.78 0.1656
5.79 0.1591
5.8 0.1518
5.81 0.1471
5.82 0.1427
5.83 0.133
5.84 0.1178
5.85 0.1042
5.86 0.0977
5.87 0.0958
5.88 0.0933
5.89 0.0877
5.9 0.0798
5.91 0.0717
5.92 0.0659
5.93 0.0626
5.94 0.0588
5.95 0.0515
5.96 0.041
5.97 0.0298
5.98 0.0196
5.99 0.0103
6 0.0018
6.01 -0.0063
6.02 -0.0143
6.03 -0.0211
6.04 -0.0254
6.05 -0.0287
6.06 -0.0345
6.07 -0.0442
6.08 -0.0553
6.09 -0.063
6.1 -0.0653
6.11 -0.0653
6.12 -0.0681
6.13 -0.0752
6.14 -0.0834
6.15 -0.0913
6.16 -0.1019
6.17 -0.1182
6.18 -0.1374
6.19 -0.1554
6.2 -0.1726
6.21 -0.1907
6.22 -0.2068
6.23 -0.2156
6.24 -0.218
6.25 -0.2212
6.26 -0.2305
6.27 -0.2425
6.28 -0.2472
6.29 -0.2372
6.3 -0.2137
6.31 -0.1821
6.32 -0.1465
6.33 -0.1107
6.34 -0.0823
6.35 -0.0688
6.36 -0.0683
6.37 -0.071
6.38 -0.0719
6.39 -0.0756
6.4 -0.0861
6.41 -0.0997
6.42 -0.1108
6.43 -0.1182
6.44 -0.1239
6.45 -0.128
6.46 -0.13
6.47 -0.1292
6.48 -0.1244
6.49 -0.114
7.67 -0.0271
7.68 -0.0321
7.69 -0.037
7.7 -0.0416
7.71 -0.0451
7.72 -0.0466
7.73 -0.0472
7.74 -0.0499
7.75 -0.0555
7.76 -0.0611
7.77 -0.0641
7.78 -0.0649
7.79 -0.0651
7.8 -0.0653
7.81 -0.0663
7.82 -0.0693
7.83 -0.0732
7.84 -0.0756
7.85 -0.0758
7.86 -0.0752
7.87 -0.0747
7.88 -0.0734
7.89 -0.0711
7.9 -0.0688
7.91 -0.0666
7.92 -0.0641
7.93 -0.0607
7.94 -0.0567
7.95 -0.0528
7.96 -0.0502
7.97 -0.0496
7.98 -0.0499
7.99 -0.0496
8 -0.0496
8.01 -0.0512
8.02 -0.0538
8.03 -0.0555
8.04 -0.0564
8.05 -0.0584
8.06 -0.0619
8.07 -0.0656
8.08 -0.0684
8.09 -0.0707
8.1 -0.0729
8.11 -0.0752
8.12 -0.0774
8.13 -0.0789
8.14 -0.0786
8.15 -0.0757
8.16 -0.0711
8.17 -0.0665
8.18 -0.0637
8.19 -0.0631
8.2 -0.0639
8.21 -0.064
8.22 -0.0618
8.23 -0.058
8.24 -0.0548
8.25 -0.0533
8.26 -0.052
8.27 -0.0489
8.28 -0.0445
8.29 -0.0403
8.3 -0.0363
8.31 -0.032
8.32 -0.0275
8.33 -0.0233
8.34 -0.0191
8.35 -0.0144
8.36 -0.009
8.37 -0.0031
8.38 0.003
8.39 0.0081
8.4 0.0107
8.41 0.0114
8.42 0.0123
9.6 -0.0255
9.61 -0.0255
9.62 -0.0265
9.63 -0.0227
9.64 -0.0144
9.65 -0.0087
9.66 -0.0089
9.67 -0.011
9.68 -0.0115
9.69 -0.0127
9.7 -0.0167
9.71 -0.0217
9.72 -0.0253
9.73 -0.0283
9.74 -0.0316
9.75 -0.0345
9.76 -0.0358
9.77 -0.0361
9.78 -0.0361
9.79 -0.0356
9.8 -0.0336
9.81 -0.0302
9.82 -0.0258
9.83 -0.0208
9.84 -0.0153
9.85 -0.0095
9.86 -0.004
9.87 0.0007
9.88 0.0054
9.89 0.0112
9.9 0.0179
9.91 0.0237
9.92 0.0276
9.93 0.0304
9.94 0.0338
9.95 0.0382
9.96 0.043
9.97 0.0477
9.98 0.0515
9.99 0.054
10 0.0562
10.01 0.0597 10.02 0.0651 10.03 0.0713 10.04 0.0774 10.05 0.0842 10.06 0.0921 10.07 0.0999 10.08 0.1057 10.09 0.1089
10.1 0.1098
10.11 0.1094 10.12 0.1093 10.13 0.11 10.14 0.1103 10.15 0.109 10.16 0.1059 10.17 0.1009 10.18 0.0926 10.19 0.0816
10.2 0.0709
10.21 0.0625 10.22 0.0548 10.23 0.0462 10.24 0.0373 10.25 0.0295 10.26 0.0231 10.27 0.0176 10.28 0.0133 10.29 0.0113
10.3 0.0114
10.31 0.013 10.32 0.0152 10.33 0.0173 10.34 0.0185 10.35 0.0187
11.53 0.0136 11.54 0.0146 11.55 0.0143 11.56 0.014 11.57 0.0147 11.58 0.0157 11.59 0.0155
11.6 0.0138
11.61 0.0118 11.62 0.0105 11.63 0.0096 11.64 0.0084 11.65 0.0069 11.66 0.0053 11.67 0.0041 11.68 0.0037 11.69 0.0041
11.7 0.0049
11.71 0.0062 11.72 0.0087 11.73 0.0125 11.74 0.0163 11.75 0.0193 11.76 0.0226 11.77 0.0271 11.78 0.0324 11.79 0.0371
11.8 0.0404
11.81 0.0424 11.82 0.0434 11.83 0.0438 11.84 0.0441 11.85 0.0446 11.86 0.0452 11.87 0.0458 11.88 0.0456 11.89 0.0444
11.9 0.0425
11.91 0.0408 11.92 0.0394 11.93 0.0381 11.94 0.0367 11.95 0.035 11.96 0.0319 11.97 0.0269 11.98 0.0217 11.99 0.0183
12 0.0171
12.01 0.0169 12.02 0.0161 12.03 0.0142 12.04 0.0118 12.05 0.01 12.06 0.0096 12.07 0.0106 12.08 0.0122 12.09 0.0134
12.1 0.0137
12.11 0.013 12.12 0.0123 12.13 0.0121 12.14 0.0125 12.15 0.0128 12.16 0.0126 12.17 0.012 12.18 0.0113 12.19 0.0106
12.2 0.0101
4.57 -0.0416
4.58 -0.0473
4.59 -0.0494
4.6 -0.0481
4.61 -0.0447
4.62 -0.0401
4.63 -0.0342
4.64 -0.0256
4.65 -0.0142
4.66 -0.0007
4.67 0.0154
4.68 0.0345
4.69 0.0528
4.7 0.0635
4.71 0.063
4.72 0.0554
4.73 0.0473
4.74 0.0421
4.75 0.0402
4.76 0.0414
4.77 0.0456
4.78 0.0509
4.79 0.0551
4.8 0.0577
4.81 0.0605
4.82 0.0642
4.83 0.067
4.84 0.0666
4.85 0.063
4.86 0.0587
4.87 0.0561
4.88 0.0555
4.89 0.0555
4.9 0.0537
4.91 0.0463
4.92 0.0296
4.93 0.0044
4.94 -0.0224
4.95 -0.043
4.96 -0.055
4.97 -0.0618
4.98 -0.0676
4.99 -0.0743
5 -0.0824
6.5 -0.0991
6.51 -0.0841
6.52 -0.0721
6.53 -0.0629
6.54 -0.0551
6.55 -0.0485
6.56 -0.0438
6.57 -0.0405
6.58 -0.0382
6.59 -0.037
6.6 -0.0374
6.61 -0.0396
6.62 -0.042
6.63 -0.0425
6.64 -0.0398
6.65 -0.0344
6.66 -0.0283
6.67 -0.0236
6.68 -0.0209
6.69 -0.0202
6.7 -0.0205
6.71 -0.0204
6.72 -0.0185
6.73 -0.0149
6.74 -0.0116
6.75 -0.0109
6.76 -0.0137
6.77 -0.0184
6.78 -0.022
6.79 -0.0215
6.8 -0.0171
6.81 -0.0127
6.82 -0.0106
6.83 -0.0079
6.84 0.001
6.85 0.017
6.86 0.0364
6.87 0.0563
6.88 0.0794
6.89 0.1093
6.9 0.1446
6.91 0.1775
6.92 0.2003
6.93 0.211
8.43 0.0141
8.44 0.0162
8.45 0.0179
8.46 0.0196
8.47 0.0221
8.48 0.0259
8.49 0.031
8.5 0.0366
8.51 0.0409
8.52 0.0436
8.53 0.0461
8.54 0.0496
8.55 0.0544
8.56 0.0597
8.57 0.0644
8.58 0.0675
8.59 0.0696
8.6 0.0718
8.61 0.074
8.62 0.075
8.63 0.0756
8.64 0.0774
8.65 0.0795
8.66 0.0794
8.67 0.0774
8.68 0.0765
8.69 0.0775
8.7 0.0771
8.71 0.0742
8.72 0.0714
8.73 0.0712
8.74 0.0725
8.75 0.0741
8.76 0.077
8.77 0.0822
8.78 0.0886
8.79 0.0943
8.8 0.0977
8.81 0.0973
8.82 0.0935
8.83 0.0888
8.84 0.0855
8.85 0.0829
8.86 0.0799
10.36 0.0189 10.37 0.0205 10.38 0.023 10.39 0.0242
10.4 0.0229
10.41 0.0201 10.42 0.0169 10.43 0.0133 10.44 0.0091 10.45 0.0054 10.46 0.0029 10.47 0 10.48 -0.0039 10.49 -0.0073
10.5 -0.0088
10.51 -0.0093 10.52 -0.0102 10.53 -0.0113 10.54 -0.0122 10.55 -0.0131 10.56 -0.0144 10.57 -0.0158 10.58 -0.017 10.59 -0.0186
10.6 -0.021
10.61 -0.0235 10.62 -0.0252 10.63 -0.0267 10.64 -0.0287 10.65 -0.0315 10.66 -0.0341 10.67 -0.0353 10.68 -0.0353 10.69 -0.035
10.7 -0.0349
10.71 -0.0349 10.72 -0.0338 10.73 -0.031 10.74 -0.0273 10.75 -0.024 10.76 -0.0219 10.77 -0.0205 10.78 -0.0194 10.79 -0.0184
12.29 -0.0125
12.3 -0.0162
12.31 -0.0195 12.32 -0.0226 12.33 -0.0257 12.34 -0.0288 12.35 -0.0318 12.36 -0.0344 12.37 -0.0368 12.38 -0.0396 12.39 -0.043
12.4 -0.0462
12.41 -0.0482 12.42 -0.0495 12.43 -0.0511 12.44 -0.0537 12.45 -0.0566 12.46 -0.0587 12.47 -0.0596 12.48 -0.0598 12.49 -0.0602
12.5 -0.0612
12.51 -0.0618 12.52 -0.0614 12.53 -0.0605 12.54 -0.0601 12.55 -0.0604 12.56 -0.0609 12.57 -0.0614 12.58 -0.0615 12.59 -0.0609
12.6 -0.0594
12.61 -0.0573 12.62 -0.0554 12.63 -0.0538 12.64 -0.052 12.65 -0.0494 12.66 -0.0467 12.67 -0.0443 12.68 -0.041 12.69 -0.036
12.7 -0.0305
Gambar 5. Plot Time History Percepatan Gempa Loma Prieta 18 Oktober 1989
3.
Gempa Northridge 18 Januari 1994, komponen
NS
Rekaman Getaran Tanah Gempa Northridge
PGA
= 0.843 g atau 8.27 m/s
2(g = 9.81 m/s
2)
V MAKS
= 128.88 m/s
ZONA = High A/V Records, A/V > 1.2g (m/s) PERIODE GETARAN KUAT = 20 detik (60 detik total)
LOKASI ACCELEROMETER = Sylmar County Hospital Parking, California LOKASI EPISENTRAL = Northridge
JARAK EPISENTRAL = 15.0 km
JENIS BATUAN/TANAH = ROCK/STIFF SOIL INTENSITAS = 6.7 Mw
MMI = X
Tabel 3. Strong Motion Record Gempa Northridge 1994 (T = 20 detik)
(1000 poin data akselerasi dengan
t = 0.020 detik
. Unit:
cm/s
2)
Gambar 7. Plot Time History Percepatan Gempa Northridge 18 Januari 1994
4.
Gempa Kocaeli (Turki) 17 Agustus 1999
Rekaman Getaran Tanah Gempa Kocaeli
PGA
= 0.628 g (g = 9.81 m/s^2)
V MAKS
= 77.42 m/s
PERIODE GETARAN KUAT = 20 Detik
LOKASI ACCELEROMETER = Sakaria Recording Station JARAK EPISENTRAL = km
LOKASI EPISENTRAL = North Anatolian Fault Zone
MAGNITUDE = 7.4 Mw
Tabel 2. Strong Motion Record Gempa Kocaeli 1999 (t. diambil selama 10.09 detik)
0
-1.32 0.0650316
1.33
2.08 0.0704842
0.29
-1.29 -0.006
1.3
2.23 0.0159684
-1.31
7.46 0.0122263
3.5
5.1 0.1454842
5.11 0.1872579
4.46 -0.036234455
4.47
-0.048558614
4.48
-0.058626911
4.49
-0.066688073
4.5
-0.076106014
4.51
-0.091102956
4.52
-0.113384302
4.53
-0.140132518
4.54
-0.164668705
4.55
-0.179072375
4.56
-0.177196738
4.57
-0.156788991
4.58
-0.120234455
4.59
-0.073470948
4.6
-0.023491335 4.61
0.024221203 4.62
0.066840979 4.63
0.103618756 4.64
0.134159021 4.65
0.156687054
0.312711519
5.86
-0.253527013
5.87
-0.246422018
5.88
-0.300061162
5.89
-0.399622834
5.9
-0.51243629
5.91
-0.599398573
5.92
-0.628216106
5.93
-0.583537207
5.94
-0.471172273
5.95
-0.316034659
5.96
-0.155076453
5.97
-0.027291539 5.98
0.037502548 5.99
0.02830581
6
-0.042611621
6.01
-0.14362895
0.055461774 7.2
0.006783078
7.21
-0.000203874 7.22
0.033686035 7.23
0.097487258 7.24
0.173955148 7.25
0.245361876 7.26
0.29911315 7.27
0.330927625 7.28
0.344811417 7.29
0.349938838 7.3
0.355993884 7.31
0.368797146 7.32
0.388277268 7.33
0.409449541 7.34
0.425637105 7.35
0.431630989 7.36
0.425107034 7.37
0.406034659
8.57
0.00628053 8.58
0.059716616 8.59
0.102181448 8.6
0.124933741 8.61
0.127635066 8.62
0.116360856 8.63
0.099601427 8.64
0.084107034 8.65
0.072166157 8.66
0.061530071 8.67
0.047570846 8.68
0.026179409
8.69
-0.003988787
8.7
-0.040442406
8.71
-0.076912334
8.72
-0.104770642
8.73
-0.11606524
9.93
-0.045531091
9.94
-0.034702345 9.95
0.001074108 9.96
0.044091743 9.97
0.073585117 9.98
0.07395209 9.99
0.040506626
10
-0.019284404
10.01
-0.088801223
10.02
-0.147767584
10.03
-0.178267074
10.04
-0.169449541
10.05
-0.120091743
10.06
-0.038622834 10.07
0.058850153 10.08
0.152028542 10.09
Gambar 9. Plot Time History Percepatan Gempa Kocaeli 17 Agustus 1999
5.
Gempa Taiwan 21 September 1999
Rekaman Getaran Tanah Gempa Taiwan
PGA
= 0.808g (g = 9.81 m/s^2)
V MAKS
= 720.21 m/s
PERIODE GETARAN KUAT = 40 Detik LOKASI ACCELEROMETER =
JARAK EPISENTRAL = km LOKASI EPISENTRAL =
MAGNITUDE =
Tabel 5. Strong Motion Record Gempa Taiwan 1999 (t. diambil selama 18.04 detik)
0.00 0.0001 0.01 0.0007 0.02 0.0007 0.03 0.0007 0.04 0.0007 0.05 0.0005 0.06 0.0001 0.07 -0.0005 0.08 -0.0007 0.09 0.0000 0.10 0.0013 0.11 0.0024 0.12 0.0028 0.13 0.0029 0.14 0.0034 0.15 0.0043 0.16 0.0053 0.17 0.0061 0.18 0.0064 0.19 0.0054 0.20 0.0034 0.21 0.0014 0.22 -0.0003 0.23 -0.0020 0.24 -0.0041 0.25 -0.0057 0.26 -0.0066 0.27 -0.0069 0.28 -0.0063 0.29 -0.0054 0.30 -0.0047 0.31 -0.0040 0.32 -0.0028 0.33 -0.0012 0.34 0.0007 0.35 0.0027 0.36 0.0044 0.37 0.0054 0.38 0.0061 0.39 0.0063 0.40 0.0062 0.41 0.0061 0.42 0.0060 0.43 0.0061 0.44 0.0059 0.45 0.0053 0.46 0.0042 0.47 0.0029 0.48 0.0015 0.49 0.0004 0.50 -0.0001 0.51 0.0001 0.52 0.0006 0.53 0.0016 0.54 0.0025 0.55 0.0034 0.56 0.0043 0.57 0.0048 0.58 0.0049 0.59 0.0042 0.60 0.0028 0.61 0.0014 0.62 0.0002 0.63 -0.0008 0.64 -0.0018 0.65 -0.0026 0.66 -0.0029
3.61 0.0041 3.62 0.0104 3.63 0.0174 3.64 0.0252 3.65 0.0329 3.66 0.0399 3.67 0.0449 3.68 0.0474 3.69 0.0469 3.70 0.0428 3.71 0.0356 3.72 0.0270 3.73 0.0177 3.74 0.0079 3.75 -0.0029 3.76 -0.0147 3.77 -0.0265 3.78 -0.0366 3.79 -0.0447 3.80 -0.0515 3.81 -0.0572 3.82 -0.0620 3.83 -0.0665 3.84 -0.0699 3.85 -0.0718 3.86 -0.0715 3.87 -0.0687 3.88 -0.0641 3.89 -0.0584 3.90 -0.0508 3.91 -0.0416 3.92 -0.0310 3.93 -0.0190 3.94 -0.0061 3.95 0.0065 3.96 0.0196 3.97 0.0329 3.98 0.0446 3.99 0.0540 4.00 0.0595 4.01 0.0619 4.02 0.0619 4.03 0.0602 4.04 0.0571 4.05 0.0537 4.06 0.0511 4.07 0.0491 4.08 0.0468 4.09 0.0435 4.10 0.0382 4.11 0.0304 4.12 0.0206 4.13 0.0106 4.14 0.0009 4.15 -0.0075 4.16 -0.0145 4.17 -0.0208 4.18 -0.0255 4.19 -0.0293 4.20 -0.0321 4.21 -0.0340 4.22 -0.0352 4.23 -0.0352 4.24 -0.0336 4.25 -0.0299 4.26 -0.0244 4.27 -0.0168
7.22 -0.0959 7.23 -0.0935 7.24 -0.0900 7.25 -0.0865 7.26 -0.0822 7.27 -0.0768 7.28 -0.0703 7.29 -0.0613 7.30 -0.0498 7.31 -0.0383 7.32 -0.0280 7.33 -0.0170 7.34 -0.0058 7.35 0.0030 7.36 0.0087 7.37 0.0129 7.38 0.0178 7.39 0.0230 7.40 0.0265 7.41 0.0281 7.42 0.0297 7.43 0.0324 7.44 0.0340 7.45 0.0310 7.46 0.0295 7.47 0.0334 7.48 0.0321 7.49 0.0297 7.50 0.0278 7.51 0.0200 7.52 0.0149 7.53 0.0134 7.54 0.0102 7.55 0.0103 7.56 0.0167 7.57 0.0228 7.58 0.0236 7.59 0.0204 7.60 0.0170 7.61 0.0156 7.62 0.0141 7.63 0.0103 7.64 0.0037 7.65 -0.0014 7.66 -0.0036 7.67 -0.0083 7.68 -0.0132 7.69 -0.0123 7.70 -0.0037 7.71 0.0059 7.72 0.0104 7.73 0.0085 7.74 0.0038 7.75 -0.0011 7.76 -0.0077 7.77 -0.0139 7.78 -0.0191 7.79 -0.0237 7.80 -0.0262 7.81 -0.0244 7.82 -0.0165 7.83 -0.0048 7.84 0.0062 7.85 0.0124 7.86 0.0156 7.87 0.0219 7.88 0.0269
10.83 0.0376 10.84 0.0442 10.85 0.0438 10.86 0.0391 10.87 0.0319 10.88 0.0250 10.89 0.0150 10.90 0.0050 10.91 -0.0010 10.92 -0.0129 10.93 -0.0308 10.94 -0.0403 10.95 -0.0613 10.96 -0.0809 10.97 -0.0887 10.98 -0.0959 10.99 -0.0969 11.00 -0.0991 11.01 -0.0989 11.02 -0.0915 11.03 -0.0760 11.04 -0.0553 11.05 -0.0341 11.06 -0.0207 11.07 -0.0144 11.08 -0.0021 11.09 0.0156 11.10 0.0297 11.11 0.0399 11.12 0.0471 11.13 0.0544 11.14 0.0665 11.15 0.0877 11.16 0.1155 11.17 0.1441 11.18 0.1663 11.19 0.1746 11.20 0.1731 11.21 0.1657 11.22 0.1487 11.23 0.1388 11.24 0.1341 11.25 0.1203 11.26 0.1020 11.27 0.0806 11.28 0.0577 11.29 0.0357 11.30 0.0113 11.31 -0.0131 11.32 -0.0314 11.33 -0.0488 11.34 -0.0638 11.35 -0.0745 11.36 -0.0877 11.37 -0.1004 11.38 -0.1665 11.39 -0.1465 11.40 -0.0984 11.41 -0.0950 11.42 -0.0954 11.43 -0.0968 11.44 -0.0982 11.45 -0.0960 11.46 -0.0865 11.47 -0.0709 11.48 -0.0447 11.49 -0.0108
0.67 -0.0023 0.68 -0.0015 0.69 -0.0015 0.70 -0.0024 0.71 -0.0033 0.72 -0.0038 0.73 -0.0038 0.74 -0.0038 0.75 -0.0035 0.76 -0.0025 0.77 -0.0014 0.78 0.0001 0.79 0.0017 0.80 0.0026 0.81 0.0020 0.82 0.0006 0.83 -0.0010 0.84 -0.0026 0.85 -0.0043 0.86 -0.0060 0.87 -0.0072 0.88 -0.0075 0.89 -0.0069 0.90 -0.0058 0.91 -0.0048 0.92 -0.0039 0.93 -0.0035 0.94 -0.0035 0.95 -0.0033 0.96 -0.0033 0.97 -0.0032 0.98 -0.0029 0.99 -0.0024 1.00 -0.0013 1.01 0.0006 1.02 0.0031 1.03 0.0059 1.04 0.0087 1.05 0.0107 1.06 0.0118 1.07 0.0120 1.08 0.0112 1.09 0.0095 1.10 0.0073 1.11 0.0055 1.12 0.0043 1.13 0.0038 1.14 0.0035 1.15 0.0031 1.16 0.0026 1.17 0.0016 1.18 0.0001 1.19 -0.0013 1.20 -0.0023 1.21 -0.0030 1.22 -0.0031 1.23 -0.0027 1.24 -0.0019 1.25 -0.0007 1.26 0.0006 1.27 0.0020 1.28 0.0029 1.29 0.0031 1.30 0.0031 1.31 0.0026 1.32 0.0019 1.33 0.0015 1.34 0.0014 1.35 0.0019 1.36 0.0028 1.37 0.0037 1.38 0.0046 1.39 0.0049 1.40 0.0042 1.41 0.0030 1.42 0.0012 1.43 -0.0007 1.44 -0.0022 1.45 -0.0033 1.46 -0.0042 1.47 -0.0049 1.48 -0.0052 1.49 -0.0053
4.28 -0.0076 4.29 0.0009 4.30 0.0096 4.31 0.0194 4.32 0.0290 4.33 0.0379 4.34 0.0459 4.35 0.0520 4.36 0.0562 4.37 0.0594 4.38 0.0613 4.39 0.0617 4.40 0.0612 4.41 0.0599 4.42 0.0572 4.43 0.0529 4.44 0.0462 4.45 0.0381 4.46 0.0284 4.47 0.0155 4.48 0.0019 4.49 -0.0107 4.50 -0.0241 4.51 -0.0386 4.52 -0.0503 4.53 -0.0591 4.54 -0.0656 4.55 -0.0683 4.56 -0.0672 4.57 -0.0647 4.58 -0.0611 4.59 -0.0558 4.60 -0.0498 4.61 -0.0427 4.62 -0.0336 4.63 -0.0235 4.64 -0.0149 4.65 -0.0074 4.66 -0.0007 4.67 0.0020 4.68 0.0021 4.69 0.0015 4.70 -0.0014 4.71 -0.0061 4.72 -0.0110 4.73 -0.0157 4.74 -0.0201 4.75 -0.0235 4.76 -0.0248 4.77 -0.0241 4.78 -0.0216 4.79 -0.0169 4.80 -0.0097 4.81 0.0002 4.82 0.0119 4.83 0.0233 4.84 0.0336 4.85 0.0420 4.86 0.0478 4.87 0.0500 4.88 0.0503 4.89 0.0513 4.90 0.0516 4.91 0.0534 4.92 0.0582 4.93 0.0624 4.94 0.0674 4.95 0.0741 4.96 0.0801 4.97 0.0855 4.98 0.0919 4.99 0.0976 5.00 0.1027 5.01 0.1074 5.02 0.1105 5.03 0.1133 5.04 0.1147 5.05 0.1152 5.06 0.1133 5.07 0.1060 5.08 0.0955 5.09 0.0835 5.10 0.0705
7.89 0.0214 7.90 0.0064 7.91 -0.0102 7.92 -0.0202 7.93 -0.0234 7.94 -0.0222 7.95 -0.0124 7.96 0.0014 7.97 0.0086 7.98 0.0118 7.99 0.0179 8.00 0.0241 8.01 0.0277 8.02 0.0227 8.03 0.0082 8.04 -0.0027 8.05 -0.0083 8.06 -0.0196 8.07 -0.0375 8.08 -0.0537 8.09 -0.0640 8.10 -0.0706 8.11 -0.0712 8.12 -0.0607 8.13 -0.0441 8.14 -0.0318 8.15 -0.0262 8.16 -0.0230 8.17 -0.0181 8.18 -0.0141 8.19 -0.0159 8.20 -0.0205 8.21 -0.0201 8.22 -0.0172 8.23 -0.0189 8.24 -0.0210 8.25 -0.0182 8.26 -0.0135 8.27 -0.0122 8.28 -0.0120 8.29 -0.0077 8.30 0.0031 8.31 0.0150 8.32 0.0208 8.33 0.0240 8.34 0.0350 8.35 0.0518 8.36 0.0641 8.37 0.0704 8.38 0.0771 8.39 0.0866 8.40 0.0909 8.41 0.0850 8.42 0.0762 8.43 0.0726 8.44 0.0751 8.45 0.0799 8.46 0.0854 8.47 0.0925 8.48 0.1038 8.49 0.1124 8.50 0.1157 8.51 0.1179 8.52 0.1107 8.53 0.0929 8.54 0.0752 8.55 0.0585 8.56 0.0409 8.57 0.0266 8.58 0.0152 8.59 -0.0001 8.60 -0.0198 8.61 -0.0378 8.62 -0.0515 8.63 -0.0603 8.64 -0.0635 8.65 -0.0650 8.66 -0.0685 8.67 -0.0739 8.68 -0.0813 8.69 -0.0894 8.70 -0.0960 8.71 -0.0980
11.50 0.0119 11.51 0.0326 11.52 0.0602 11.53 0.0812 11.54 0.1006 11.55 0.1175 11.56 0.1269 11.57 0.1335 11.58 0.1361 11.59 0.1388 11.60 0.1435 11.61 0.1429 11.62 0.1393 11.63 0.1357 11.64 0.1343 11.65 0.1359 11.66 0.1358 11.67 0.1292 11.68 0.1253 11.69 0.1233 11.70 0.1145 11.71 0.1073 11.72 0.0956 11.73 0.0807 11.74 0.0707 11.75 0.0659 11.76 0.0686 11.77 0.0774 11.78 0.0882 11.79 0.0939 11.80 0.0932 11.81 0.0852 11.82 0.0699 11.83 0.0555 11.84 0.0400 11.85 0.0145 11.86 -0.0182 11.87 -0.0526 11.88 -0.0899 11.89 -0.1991 11.90 -0.2849 11.91 -0.1907 11.92 -0.0982 11.93 -0.0725 11.94 -0.0361 11.95 0.0141 11.96 0.0807 11.97 0.1563 11.98 0.2232 11.99 0.2769 12.00 0.3243 12.01 0.3580 12.02 0.3801 12.03 0.3964 12.04 0.4087 12.05 0.4131 12.06 0.4084 12.07 0.4114 12.08 0.4172 12.09 0.3942 12.10 0.3691 12.11 0.3754 12.12 0.3680 12.13 0.3589 12.14 0.3489 12.15 0.3205 12.16 0.2942 12.17 0.2726 12.18 0.2587 12.19 0.2486 12.20 0.2342 12.21 0.2139 12.22 0.1855 12.23 0.1524 12.24 0.1210 12.25 0.0918 12.26 0.0643 12.27 0.0397 12.28 0.0208 12.29 0.0037 12.30 -0.0101 12.31 -0.0258 12.32 -0.0517
1.50 -0.0057 1.51 -0.0065 1.52 -0.0071 1.53 -0.0073 1.54 -0.0072 1.55 -0.0067 1.56 -0.0060 1.57 -0.0058 1.58 -0.0061 1.59 -0.0068 1.60 -0.0078 1.61 -0.0090 1.62 -0.0098 1.63 -0.0097 1.64 -0.0090 1.65 -0.0082 1.66 -0.0073 1.67 -0.0058 1.68 -0.0039 1.69 -0.0020 1.70 -0.0006 1.71 0.0002 1.72 0.0012 1.73 0.0027 1.74 0.0048 1.75 0.0074 1.76 0.0099 1.77 0.0119 1.78 0.0132 1.79 0.0139 1.80 0.0140 1.81 0.0137 1.82 0.0131 1.83 0.0116 1.84 0.0098 1.85 0.0086 1.86 0.0083 1.87 0.0084 1.88 0.0081 1.89 0.0072 1.90 0.0055 1.91 0.0035 1.92 0.0022 1.93 0.0018 1.94 0.0020 1.95 0.0020 1.96 0.0015 1.97 0.0009 1.98 0.0009 1.99 0.0014 2.00 0.0023 2.01 0.0030 2.02 0.0035 2.03 0.0048 2.04 0.0065 2.05 0.0073 2.06 0.0066 2.07 0.0049 2.08 0.0029 2.09 0.0003 2.10 -0.0027 2.11 -0.0053 2.12 -0.0073 2.13 -0.0086 2.14 -0.0094 2.15 -0.0105 2.16 -0.0119 2.17 -0.0134 2.18 -0.0150 2.19 -0.0166 2.20 -0.0181 2.21 -0.0188 2.22 -0.0178 2.23 -0.0159 2.24 -0.0143 2.25 -0.0138 2.26 -0.0139 2.27 -0.0139 2.28 -0.0130 2.29 -0.0111 2.30 -0.0085 2.31 -0.0054 2.32 -0.0024
5.11 0.0567 5.12 0.0420 5.13 0.0263 5.14 0.0098 5.15 -0.0078 5.16 -0.0262 5.17 -0.0434 5.18 -0.0587 5.19 -0.0721 5.20 -0.0840 5.21 -0.0942 5.22 -0.1139 5.23 -0.1165 5.24 -0.1044 5.25 -0.1070 5.26 -0.1011 5.27 -0.0964 5.28 -0.0910 5.29 -0.0853 5.30 -0.0796 5.31 -0.0728 5.32 -0.0649 5.33 -0.0567 5.34 -0.0486 5.35 -0.0403 5.36 -0.0312 5.37 -0.0210 5.38 -0.0100 5.39 0.0017 5.40 0.0155 5.41 0.0327 5.42 0.0531 5.43 0.0755 5.44 0.0962 5.45 0.1109 5.46 0.1220 5.47 0.1323 5.48 0.1398 5.49 0.1431 5.50 0.1436 5.51 0.1419 5.52 0.1355 5.53 0.1257 5.54 0.1172 5.55 0.1097 5.56 0.1038 5.57 0.1023 5.58 0.1026 5.59 0.1050 5.60 0.1096 5.61 0.1146 5.62 0.1194 5.63 0.1240 5.64 0.1295 5.65 0.1357 5.66 0.1417 5.67 0.1470 5.68 0.1497 5.69 0.1487 5.70 0.1429 5.71 0.1321 5.72 0.1178 5.73 0.1029 5.74 0.0899 5.75 0.0790 5.76 0.0706 5.77 0.0640 5.78 0.0578 5.79 0.0511 5.80 0.0435 5.81 0.0349 5.82 0.0258 5.83 0.0160 5.84 0.0058 5.85 -0.0047 5.86 -0.0150 5.87 -0.0262 5.88 -0.0386 5.89 -0.0488 5.90 -0.0552 5.91 -0.0606 5.92 -0.0636 5.93 -0.0628
8.72 -0.0915 8.73 -0.0855 8.74 -0.0817 8.75 -0.0705 8.76 -0.0574 8.77 -0.0499 8.78 -0.0452 8.79 -0.0422 8.80 -0.0396 8.81 -0.0358 8.82 -0.0311 8.83 -0.0250 8.84 -0.0177 8.85 -0.0094 8.86 0.0000 8.87 0.0107 8.88 0.0206 8.89 0.0280 8.90 0.0336 8.91 0.0382 8.92 0.0403 8.93 0.0369 8.94 0.0286 8.95 0.0189 8.96 0.0140 8.97 0.0155 8.98 0.0188 8.99 0.0293 9.00 0.0401 9.01 0.0447 9.02 0.0558 9.03 0.0607 9.04 0.0555 9.05 0.0560 9.06 0.0592 9.07 0.0600 9.08 0.0627 9.09 0.0645 9.10 0.0582 9.11 0.0482 9.12 0.0423 9.13 0.0379 9.14 0.0325 9.15 0.0287 9.16 0.0261 9.17 0.0231 9.18 0.0201 9.19 0.0164 9.20 0.0097 9.21 0.0017 9.22 -0.0072 9.23 -0.0186 9.24 -0.0340 9.25 -0.0509 9.26 -0.0660 9.27 -0.0758 9.28 -0.0793 9.29 -0.0790 9.30 -0.0779 9.31 -0.0786 9.32 -0.0809 9.33 -0.0816 9.34 -0.0806 9.35 -0.0811 9.36 -0.0834 9.37 -0.0837 9.38 -0.0791 9.39 -0.0727 9.40 -0.0688 9.41 -0.0675 9.42 -0.0695 9.43 -0.0759 9.44 -0.0849 9.45 -0.0950 9.46 -0.1260 9.47 -0.0990 9.48 -0.0844 9.49 -0.0671 9.50 -0.0465 9.51 -0.0263 9.52 -0.0071 9.53 0.0152 9.54 0.0428
12.33 -0.0864 12.34 -0.2244 12.35 -0.3540 12.36 -0.3611 12.37 -0.0853 12.38 -0.0510 12.39 -0.0095 12.40 0.0289 12.41 0.0566 12.42 0.0690 12.43 0.0717 12.44 0.0736 12.45 0.0814 12.46 0.0992 12.47 0.1193 12.48 0.1387 12.49 0.1565 12.50 0.1749 12.51 0.1942 12.52 0.2146 12.53 0.2341 12.54 0.2468 12.55 0.2475 12.56 0.2358 12.57 0.2275 12.58 0.2165 12.59 0.1970 12.60 0.2117 12.61 0.2375 12.62 0.2355 12.63 0.2216 12.64 0.1860 12.65 0.1472 12.66 0.1313 12.67 0.1327 12.68 0.1375 12.69 0.1358 12.70 0.1244 12.71 0.1131 12.72 0.1132 12.73 0.1184 12.74 0.1218 12.75 0.1264 12.76 0.1333 12.77 0.1393 12.78 0.1459 12.79 0.1553 12.80 0.1608 12.81 0.1588 12.82 0.1509 12.83 0.1336 12.84 0.1191 12.85 0.1065 12.86 0.0985 12.87 0.0973 12.88 0.0904 12.89 0.0804 12.90 0.0642 12.91 0.0449 12.92 0.0233 12.93 -0.0042 12.94 -0.0303 12.95 -0.0510 12.96 -0.0671 12.97 -0.0808 12.98 -0.0980 12.99 -0.1573 13.00 -0.2194 13.01 -0.1528 13.02 -0.2252 13.03 -0.2293 13.04 -0.1160 13.05 -0.1368 13.06 -0.1017 13.07 -0.0859 13.08 -0.0647 13.09 -0.0360 13.10 0.0016 13.11 0.0455 13.12 0.0945 13.13 0.1480 13.14 0.2047 13.15 0.2603
2.33 0.0005 2.34 0.0032 2.35 0.0053 2.36 0.0072 2.37 0.0095 2.38 0.0122 2.39 0.0142 2.40 0.0152 2.41 0.0155 2.42 0.0151 2.43 0.0137 2.44 0.0114 2.45 0.0090 2.46 0.0077 2.47 0.0072 2.48 0.0068 2.49 0.0061 2.50 0.0057 2.51 0.0057 2.52 0.0056 2.53 0.0056 2.54 0.0057 2.55 0.0056 2.56 0.0054 2.57 0.0050 2.58 0.0045 2.59 0.0036 2.60 0.0024 2.61 0.0012 2.62 0.0004 2.63 0.0001 2.64 0.0002 2.65 0.0006 2.66 0.0016 2.67 0.0031 2.68 0.0049 2.69 0.0065 2.70 0.0080 2.71 0.0089 2.72 0.0089 2.73 0.0081 2.74 0.0067 2.75 0.0053 2.76 0.0043 2.77 0.0036 2.78 0.0027 2.79 0.0011 2.80 -0.0017 2.81 -0.0055 2.82 -0.0098 2.83 -0.0137 2.84 -0.0166 2.85 -0.0186 2.86 -0.0195 2.87 -0.0198 2.88 -0.0196 2.89 -0.0187 2.90 -0.0173 2.91 -0.0157 2.92 -0.0144 2.93 -0.0131 2.94 -0.0116 2.95 -0.0101 2.96 -0.0089 2.97 -0.0080 2.98 -0.0070 2.99 -0.0057 3.00 -0.0035 3.01 0.0001 3.02 0.0047 3.03 0.0096 3.04 0.0135 3.05 0.0159 3.06 0.0165 3.07 0.0158 3.08 0.0149 3.09 0.0144 3.10 0.0146 3.11 0.0152 3.12 0.0154 3.13 0.0144 3.14 0.0123 3.15 0.0089
5.94 -0.0705 5.95 -0.0875 5.96 -0.0999 5.97 -0.1456 5.98 -0.0975 5.99 -0.0918 6.00 -0.0875 6.01 -0.0841 6.02 -0.0811 6.03 -0.0780 6.04 -0.0748 6.05 -0.0716 6.06 -0.0695 6.07 -0.0693 6.08 -0.0696 6.09 -0.0696 6.10 -0.0692 6.11 -0.0693 6.12 -0.0704 6.13 -0.0725 6.14 -0.0750 6.15 -0.0769 6.16 -0.0774 6.17 -0.0768 6.18 -0.0758 6.19 -0.0749 6.20 -0.0741 6.21 -0.0737 6.22 -0.0729 6.23 -0.0712 6.24 -0.0669 6.25 -0.0594 6.26 -0.0497 6.27 -0.0377 6.28 -0.0238 6.29 -0.0090 6.30 0.0067 6.31 0.0233 6.32 0.0413 6.33 0.0606 6.34 0.0802 6.35 0.0981 6.36 0.1126 6.37 0.1238 6.38 0.1324 6.39 0.1382 6.40 0.1404 6.41 0.1381 6.42 0.1334 6.43 0.1273 6.44 0.1200 6.45 0.1136 6.46 0.1065 6.47 0.0980 6.48 0.0902 6.49 0.0831 6.50 0.0760 6.51 0.0678 6.52 0.0591 6.53 0.0496 6.54 0.0381 6.55 0.0265 6.56 0.0168 6.57 0.0080 6.58 -0.0008 6.59 -0.0085 6.60 -0.0150 6.61 -0.0198 6.62 -0.0228 6.63 -0.0245 6.64 -0.0244 6.65 -0.0218 6.66 -0.0176 6.67 -0.0122 6.68 -0.0051 6.69 0.0034 6.70 0.0139 6.71 0.0254 6.72 0.0352 6.73 0.0426 6.74 0.0476 6.75 0.0499 6.76 0.0498
9.55 0.0728 9.56 0.1018 9.57 0.1283 9.58 0.1524 9.59 0.1744 9.60 0.1935 9.61 0.2068 9.62 0.2177 9.63 0.2320 9.64 0.2350 9.65 0.2220 9.66 0.2143 9.67 0.2131 9.68 0.2131 9.69 0.2140 9.70 0.2148 9.71 0.2164 9.72 0.2184 9.73 0.2138 9.74 0.1973 9.75 0.1657 9.76 0.1247 9.77 0.0865 9.78 0.0540 9.79 0.0250 9.80 -0.0020 9.81 -0.0260 9.82 -0.0459 9.83 -0.0614 9.84 -0.0734 9.85 -0.0864 9.86 -0.0936 9.87 -0.0702 9.88 -0.0550 9.89 -0.0482 9.90 -0.0405 9.91 -0.0282 9.92 -0.0095 9.93 0.0298 9.94 0.1087 9.95 0.1922 9.96 0.2267 9.97 0.2202 9.98 0.1662 9.99 0.0596 10.00 -0.0312 10.01 -0.0929 10.02 -0.1822 10.03 -0.1987 10.04 -0.0964 10.05 -0.0680 10.06 -0.0407 10.07 -0.0168 10.08 0.0081 10.09 0.0415 10.10 0.0788 10.11 0.1001 10.12 0.0842 10.13 0.0398 10.14 0.0107 10.15 0.0101 10.16 0.0238 10.17 0.0453 10.18 0.0672 10.19 0.0879 10.20 0.1140 10.21 0.1469 10.22 0.1817 10.23 0.2131 10.24 0.2357 10.25 0.2477 10.26 0.2464 10.27 0.2422 10.28 0.2518 10.29 0.2595 10.30 0.2506 10.31 0.2362 10.32 0.2079 10.33 0.1315 10.34 0.0180 10.35 -0.0729 10.36 -0.2383 10.37 -0.1302
13.16 0.3083 13.17 0.3393 13.18 0.3414 13.19 0.3007 13.20 0.2229 13.21 0.1585 13.22 0.1302 13.23 0.1150 13.24 0.1038 13.25 0.0918 13.26 0.0762 13.27 0.0583 13.28 0.0406 13.29 0.0300 13.30 0.0317 13.31 0.0410 13.32 0.0484 13.33 0.0510 13.34 0.0504 13.35 0.0432 13.36 0.0292 13.37 0.0152 13.38 0.0006 13.39 -0.0189 13.40 -0.0378 13.41 -0.0479 13.42 -0.0449 13.43 -0.0314 13.44 -0.0060 13.45 0.0326 13.46 0.0627 13.47 0.0866 13.48 0.1089 13.49 0.1320 13.50 0.1537 13.51 0.1587 13.52 0.1484 13.53 0.1135 13.54 0.0642 13.55 0.0170 13.56 -0.0259 13.57 -0.0594 13.58 -0.0745 13.59 -0.0777 13.60 -0.0738 13.61 -0.0577 13.62 -0.0287 13.63 0.0105 13.64 0.0566 13.65 0.1051 13.66 0.1492 13.67 0.1851 13.68 0.2168 13.69 0.2438 13.70 0.2677 13.71 0.2867 13.72 0.2995 13.73 0.3079 13.74 0.3071 13.75 0.2975 13.76 0.2933 13.77 0.3003 13.78 0.3092 13.79 0.3102 13.80 0.3018 13.81 0.2957 13.82 0.2948 13.83 0.2939 13.84 0.2928 13.85 0.2941 13.86 0.2994 13.87 0.3079 13.88 0.3227 13.89 0.3440 13.90 0.3503 13.91 0.3586 13.92 0.3619 13.93 0.3693 13.94 0.3837 13.95 0.3086 13.96 0.2166 13.97 0.1721 13.98 0.1399
3.16 0.0047 3.17 0.0013 3.18 -0.0007 3.19 -0.0016 3.20 -0.0021 3.21 -0.0022 3.22 -0.0027 3.23 -0.0044 3.24 -0.0069 3.25 -0.0093 3.26 -0.0104 3.27 -0.0103 3.28 -0.0088 3.29 -0.0061 3.30 -0.0030 3.31 -0.0006 3.32 0.0007 3.33 0.0011 3.34 0.0010 3.35 0.0010 3.36 0.0015 3.37 0.0029 3.38 0.0054 3.39 0.0087 3.40 0.0118 3.41 0.0138 3.42 0.0146 3.43 0.0143 3.44 0.0137 3.45 0.0128 3.46 0.0118 3.47 0.0101 3.48 0.0071 3.49 0.0030 3.50 -0.0015 3.51 -0.0062 3.52 -0.0106 3.53 -0.0141 3.54 -0.0167 3.55 -0.0180 3.56 -0.0175 3.57 -0.0156 3.58 -0.0123 3.59 -0.0077 3.60 -0.0020
6.77 0.0487 6.78 0.0466 6.79 0.0438 6.80 0.0424 6.81 0.0430 6.82 0.0464 6.83 0.0524 6.84 0.0542 6.85 0.0515 6.86 0.0504 6.87 0.0487 6.88 0.0446 6.89 0.0382 6.90 0.0311 6.91 0.0251 6.92 0.0209 6.93 0.0178 6.94 0.0152 6.95 0.0125 6.96 0.0128 6.97 0.0141 6.98 0.0118 6.99 0.0094 7.00 0.0049 7.01 -0.0032 7.02 -0.0085 7.03 -0.0129 7.04 -0.0197 7.05 -0.0256 7.06 -0.0295 7.07 -0.0337 7.08 -0.0393 7.09 -0.0442 7.10 -0.0491 7.11 -0.0557 7.12 -0.0629 7.13 -0.0696 7.14 -0.0766 7.15 -0.0839 7.16 -0.0906 7.17 -0.0967 7.18 -0.1003 7.19 -0.1010 7.20 -0.1002 7.21 -0.0981
10.38 -0.0457 10.39 0.0071 10.40 0.0830 10.41 0.1376 10.42 0.1698 10.43 0.1958 10.44 0.2191 10.45 0.2334 10.46 0.2344 10.47 0.2246 10.48 0.2119 10.49 0.1977 10.50 0.1788 10.51 0.1514 10.52 0.1159 10.53 0.0802 10.54 0.0520 10.55 0.0318 10.56 0.0195 10.57 0.0146 10.58 0.0148 10.59 0.0165 10.60 0.0146 10.61 0.0060 10.62 0.0009 10.63 -0.0074 10.64 -0.0243 10.65 -0.0386 10.66 -0.0578 10.67 -0.0786 10.68 -0.0790 10.69 -0.0620 10.70 -0.0722 10.71 -0.0853 10.72 -0.0760 10.73 -0.0814 10.74 -0.0974 10.75 -0.0998 10.76 -0.0956 10.77 -0.0933 10.78 -0.0876 10.79 -0.0753 10.80 -0.0485 10.81 -0.0133 10.82 0.0182
13.99 0.1039 14.00 0.0680 14.01 0.0296 14.02 0.0014 14.03 -0.0279 14.04 -0.0626 14.05 -0.0884 14.06 -0.1092 14.07 -0.0990 14.08 -0.0940 14.09 -0.0676 14.10 -0.0405 14.11 -0.0095 14.12 0.0048 14.13 -0.0003 14.14 -0.0098 14.15 -0.0313 14.16 -0.0556 14.17 -0.0797 14.18 -0.0971 14.19 -0.2072 14.20 -0.5031 14.21 -0.4549 14.22 -0.5671 14.23 -0.4633 14.24 -0.0353 14.25 0.0355 14.26 0.1067 14.27 0.1992 14.28 0.3518 14.29 0.5690 14.30 0.7505 14.31 0.8082 14.32 0.7962 14.33 0.7820 14.34 0.7728 14.35 0.7570 14.36 0.7404 14.37 0.7260 14.38 0.7059 14.39 0.6764 14.40 0.6537 14.41 0.6336 14.42 0.6000 14.43 0.5815
