Optimasi Pondasi Mesin Tipe Rangka.
OPTIMASI PONDASI MESIN TIPE RANGKA
Loe Kian An
NRP : 0021025
Pembimbing : Winarni Hadipratomo, Ir.
UNIVERSITAS KRISTEN MARANATHA
FAKULTAS TEKNIK JURUSAN TEKNIK SIPIL
BANDUNG
ABSTRAK
Pondasi mesin merupakan salah satu bagian terpenting dalam bangunan
industri. Dari berbagai macam pondasi mesin, pondasi mesin tipe rangka
merupakan jenis pondasi mesin yang sering digunakan dan memiliki banyak
kelebihan dibandingkan dengan jenis lainnya. Untuk meminimalkan biaya
konstruksinya maka diperlukan proses optimasi.
Optimasi dilakukan pada hasil desain dari pondasi mesin yang meliputi
dimensi dan luas tulangan dari tiap elemen struktur. Dalam hal ini, dibuat suatu
program optimasi dengan menggunakan bahasa pemrograman Borland C++
Builder 4.0 Proffesional berdasarkan rumus – rumus, desain variabel serta syarat
– syarat batas yang ada. Hasil desain yang sudah dioptimasi kemudian
dibandingkan dengan hasil desain awal yang belum dioptimasi.
Setelah melalui proses optimasi, dapat disimpulkan bahwa optimasi
membuat biaya konstruksi lebih murah dibandingkan dengan biaya konstruksi
tanpa optimasi dan hasil optimasi dapat digunakan sebagai pengganti hasil desain
awal.
DAFTAR ISI
Halaman
SURAT KETERANGAN TUGAS AKHIR ......................................................... i
SURAT KETERANGAN SELESAI TUGAS AKHIR ...................................... ii
ABSTRAK ............................................................................................................ iii
PRAKATA ............................................................................................................ iv
DAFTAR ISI......................................................................................................... vi
DAFTAR NOTASI............................................................................................. viii
DAFTAR GAMBAR........................................................................................... xii
DAFTAR TABEL .............................................................................................. xiii
DAFTAR LAMPIRAN ..................................................................................... xiv
BAB 1 PENDAHULUAN
1.1 Latar Belakang Masalah........................................................................ 1
1.2 Maksud dan Tujuan Penulisan .............................................................. 2
1.3 Ruang Lingkup Pembahasan................................................................. 2
1.4 Sistematika Pembahasan ....................................................................... 3
BAB 2 TINJAUAN PUSTAKA
2.1 Pondasi Mesin Tipe Rangka ................................................................. 4
2.1.1 Bentuk Spesifik Pondasi Mesin Tipe Rangka............................... 4
2.1.2 Syarat Umum Pondasi Mesin........................................................ 6
2.1.3 Tipe Mesin yang Digunakan ......................................................... 7
2.2 Struktur Pondasi Mesin Tipe Rangka .................................................... 8
2.2.1 Pelat Dasar ................................................................................... 8
2.2.2 Balok dan Kolom ........................................................................ 10
2.3 Desain Beton Bertulang ....................................................................... 11
2.4 Parameter Tanah yang Dipakai ............................................................ 13
BAB 3 OPTIMASI STRUKTUR
3.1 Prosedur Desain Optimasi.................................................................... 15
3.1.1 Desain Variabel dan Fungsi Biaya............................................. 15
3.1.2 Desain Syarat Batas ( constraint design ) .................................. 17
3.2 Prosedur Optimasi................................................................................ 18
BAB 4 STUDI KASUS ....................................................................................... 19
BAB 5 KESIMPULAN DAN SARAN
5.1 Kesimpulan .......................................................................................... 31
5.2 Saran..................................................................................................... 32
DAFTAR PUSTAKA ......................................................................................... 33
LAMPIRAN
DAFTAR NOTASI
Ac
= Luas efektif beton pada potongan melintang
Al
= Luas dengan keliling luar u
AS
= Luas tulangan baja arah longitudinal
Ase
= Luas tulangan baja arah longitudinal pada elemen ke – e
ASS
= Luas tulangan baja arah transversal
ASX
= Luas tulangan baja pada arah longitudinal yang tegak lurus sumbu y
ASY
= Luas tulangan baja pada arah longitudinal yang tegak lurus sumbu x
Asse
= Luas tulangan baja arah transversal pada elemen ke – e
AST
= Luas tulangan torsi arah longitudinal
T
ASS
= Luas tulangan torsi pada arah transversal
V
ASS
= Luas tulangan geser pada arah transversal
B
= Lebar elemen balok / kolom pada potongan melintang
Be
= Lebar elemen balok / kolom pada potongan melintang pada elemen ke-e
Cc
= Harga beton per unit volume
Cf
= Harga bekisting per unit luas
Cs
= Harga tulangan baja per unit massa
C pf
= Harga stoot werk per unit luas
cp
= Selimut beton untuk pelat
d
= Tinggi efektif pelat
e
= Elemen / nomor elemen
e’
= Seperenam dari lebar elemen balok / kolom pada potongan melintang
f ( b ) = Fungsi biaya ( total cost )
f cd
= Tegangan beton desain
f ck
= Tegangan karakteristik beton
fy
= Tegangan leleh baja
f yd
= Tegangan baja desain
GS
= Modulus geser tanah
h
= Tebal pelat
hl
= Tebal minimum pelat
H
= Tinggi elemen balok / kolom pada potongan melintang
He
= Tinggi elemen balok / kolom pada potongan melintang pada elemen ke-e
I
= Momen inersia terhadap garis netral
KX
= Konstanta pegas tanah arah x
KY
= Konstanta pegas tanah arah y
KT
= Konstanta pegas rotasi dari tanah
L
= Panjang kolom
Le
= Panjang elemen ke – e
lx
= Setengah dari sisi pendek pelat
ly
= Setengah dari sisi panjang pelat
lx
min
= Setengah dari sisi pendek pelat minimum
ly
min
= Setengah dari sisi panjang pelat minimum
Mmax = Momen lentur maksimum yang bekerja pada elemen pelat
m0
= Momen lentur maksimum yang terjadi pada elemen rangka ke – e
r0
= Jari – jari ekuivalen pelat dasar
Tk
= Momen torsi yang terjadi pada elemen rangka
u
= Keliling luar elemen rangka
Vk
= Gaya geser yang terjadi pada elemen rangka
z
= Perbandingan antara momen inersia dengan momen lentur maksimum
Ω
= Frekuensi getar harmonis dari mesin
β1
β2
βx
βy
γc
= Koefisien yang tergantung dari tegangan karakteristik beton
= Koefisien yang tergantung dari tegangan karakteristik beton
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Faktor pembagi untuk memperoleh tegangan beton desain
γf
= Faktor beban ( load factor )
γs
= Faktor pembagi untuk memperoleh tegangan baja desain
η
= Koefisien reaksi tanah dasar
ηxy
τ td
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Tegangan desain pada beton akibat torsi
τ tu
τ wd
= Tegangan batas ( ultimate ) pada beton terhadap torsi
= Tegangan desain pada beton akibat geser
τ wu
= Tegangan batas ( ultimate ) pada beton terhadap geser
vs
= Poisson’s Ratio of Soil
ω Pelat = Frekuensi fundamental pelat
ω Rangka = Frekuensi fundamental rangka
ωt
= Frekuensi total dari sistem
DAFTAR GAMBAR
Halaman
Gambar 2.1
Bentuk Spesifik Pondasi Mesin Tipe Rangka ................................. 5
Gambar 2.2
Pemodelan Pelat .............................................................................. 8
Gambar 2.3
Elemen Segitiga Pelat...................................................................... 9
Gambar 2.4
Elemen Rangka dan Potongan Melintang ..................................... 10
Gambar 2.5
Potongan Melintang Elemen Rangka dan Pelat ............................ 11
Gambar 4.1
Diskretisasi Elemen Struktur......................................................... 20
Gambar 4.2
Gambar Beban Sinusoidal dan Cosinusoidal pada Titik Nodal 82
....................................................................................................... 20
DAFTAR TABEL
Halaman
Tabel 2.1
Amplitudo Ijin Berdasarkan Frekuensi Operasi dan Arah
Getar Mesin .................................................................................... 7
Tabel 4.1
Pembebanan Struktur Akibat Beban Statik dan
Beban Dinamik ............................................................................. 20
Tabel 4.2
Desain Awal Pelat Dasar............................................................... 24
Tabel 4.3
Desain Awal Elemen Rangka ....................................................... 24
Tabel 4.4
Input Sheet Elemen Rangka ......................................................... 26
Tabel 4.5
Hasil Optimasi Elemen Rangka .................................................... 27
Tabel 4.6
Hasil Optimasi Pelat Dasar .......................................................... 28
Tabel 4.7
Perhitungan Biaya Tanpa Proses Optimasi .................................. 29
Tabel 4.8
Perbandingan Biaya ..................................................................... 29
DAFTAR LAMPIRAN
Halaman
Lampiran 1
Gambar Pemodelan Struktur Tiga Dimensi................................... 34
Lampiran 2
Gambar Pemodelan Pelat............................................................... 35
Lampiran 3
Letak Beban Statik Pada Struktur.................................................. 36
Lampiran 4
Letak Beban Dinamik Pada Struktur ............................................. 37
Lampiran 5
Input Data SAP 2000..................................................................... 38
Lampiran 6
Output Data SAP 2000 .................................................................. 46
Lampiran 7
Gambar Bidang Momen ................................................................ 50
Lampiran 8
Gambar Bidang Gaya Geser .......................................................... 51
Lampiran 9
Kontur Momen Lentur Pelat.......................................................... 52
Lampiran 10
Flowchart Elemen Rangka............................................................ 53
Lampiran 11
Flowchart Elemen Pelat................................................................ 55
Lampiran 12 Flowchart Biaya Konstruksi .......................................................... 57
Lampiran 13 Script Program Elemen Rangka .................................................... 58
Lampiran 14 Script Program Elemen Pelat......................................................... 59
Lampiran 15 Script Program Biaya Konstruksi .................................................. 61
SAP2000 v7.42 File: FOUNDATION MODEL01
S T A T I C
L O A D
C A S E S
STATIC
CASE
CASE
TYPE
SELF WT
FACTOR
LOAD1
LOAD82Z
LOAD82X
LOAD87Z
LOAD87X
LOAD92Z
LOAD92X
DEAD
OTHER
OTHER
OTHER
OTHER
OTHER
OTHER
1.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
T I M E
KN-cm Units
H I S T O R Y
C A S E S
HISTORY
CASE
HISTORY
TYPE
NUMBER OF
TIME STEPS
TIME STEP
INCREMENT
HIST1
PERIODIC
12000
7.192E-04
J O I N T
D A T A
JOINT
ANGLE-C
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
RESTRAINTS
ANGLE-A
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J O I N T
S P R I N G
D A T A
JOINT
K-U1
K-U2
K-U3
K-R1
K-R2
K-R3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
MATERIAL
NAME=STEEL IDES=S M=7.85E-09 W=7.682E-05
T=0 E=206010 U=.3 A=.0000117 FY=490.5
NAME=CONC IDES=C M=2.400668E-09 W=2.451662E-05
T=0 E=21133.33 U=.2 A=.0000099
NAME=OTHER IDES=N M=2.40068E-09 W=2.356161E-05
T=0 E=24821.13 U=.2 A=.0000099
FRAME SECTION
NAME=FSEC1 MAT=STEEL SH=R T=500,300 A=150000 J=2.817371E+09
I=3.125E+09,1.125E+09 AS=125000,125000
NAME=KOLOM1 MAT=CONC SH=R T=609.6,914.4 A=557418.3 J=4.052509E+10
I=1.726195E+10,3.883939E+10 AS=464515.2,464515.2
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
NAME=KOLOM2 MAT=CONC SH=R
I=5.825908E+10,5.825908E+10
NAME=KOLOM3 MAT=CONC SH=R
I=7.282385E+09,2.912954E+10
NAME=BALOK1 MAT=CONC SH=R
I=1.726195E+10,3.883939E+10
NAME=BALOK2 MAT=CONC SH=R
I=3.883939E+10,1.726195E+10
NAME=BALOK3 MAT=CONC SH=R
I=5.825908E+10,5.825908E+10
SHELL SECTION
NAME=PELAT MAT=CONC
F R A M E
T=914.4,914.4 A=836127.4
AS=696772.8,696772.8
T=457.2,914.4 A=418063.7
AS=348386.4,348386.4
T=609.6,914.4 A=557418.3
AS=464515.2,464515.2
T=914.4,609.6 A=557418.3
AS=464515.2,464515.2
T=914.4,914.4 A=836127.4
AS=696772.8,696772.8
TYPE=Plate,Thick
E L E M E N T
J=9.845785E+10
J=2.000153E+10
J=4.052509E+10
J=4.052509E+10
J=9.845785E+10
TH=914.4
D A T A
FRAME
JNT-1
JNT-2
SECTION
ANGLE
RELEASES
SEGMENTS
R1
R2
FACTOR
LENGTH
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
11
14
81
82
81
83
84
85
86
87
86
88
89
90
91
92
35
38
67
70
81
83
82
83
84
85
86
88
87
88
89
90
91
93
92
93
86
88
91
93
KOLOM1
KOLOM1
BALOK1
BALOK1
BALOK2
BALOK2
BALOK2
BALOK2
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
KOLOM2
KOLOM2
KOLOM3
KOLOM3
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
2
2
4
4
4
4
4
4
4
4
4
4
4
4
4
4
2
2
2
2
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
518.000
518.000
156.765
156.765
152.400
152.400
152.400
152.400
156.765
156.765
203.200
203.200
203.200
203.200
156.765
156.765
518.000
518.000
518.000
518.000
S H E L L
E L E M E N T
D A T A
SHELL
JNT-1
JNT-2
JNT-3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
10
2
11
3
12
4
13
5
14
6
15
7
16
8
18
10
19
11
20
12
21
13
22
14
23
15
24
16
26
18
27
19
28
20
29
21
9
10
10
11
11
12
12
13
13
14
14
15
15
16
17
18
18
19
19
20
20
21
21
22
22
23
23
24
25
26
26
27
27
28
28
29
1
1
2
2
3
3
4
4
5
5
6
6
7
7
9
9
10
10
11
11
12
12
13
13
14
14
15
15
17
17
18
18
19
19
20
20
JNT-4
SECTION
ANGLE
AREA
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
30
22
31
23
32
24
34
26
35
27
36
28
37
29
38
30
39
31
40
32
42
34
43
35
44
36
45
37
46
38
47
39
48
40
50
42
51
43
52
44
53
45
54
46
55
47
56
48
58
50
59
51
60
52
61
53
62
54
63
55
64
56
66
58
67
59
68
60
69
61
70
62
71
63
29
30
30
31
31
32
33
34
34
35
35
36
36
37
37
38
38
39
39
40
41
42
42
43
43
44
44
45
45
46
46
47
47
48
49
50
50
51
51
52
52
53
53
54
54
55
55
56
57
58
58
59
59
60
60
61
61
62
62
63
63
64
65
66
66
67
67
68
68
69
69
70
70
71
21
21
22
22
23
23
25
25
26
26
27
27
28
28
29
29
30
30
31
31
33
33
34
34
35
35
36
36
37
37
38
38
39
39
41
41
42
42
43
43
44
44
45
45
46
46
47
47
49
49
50
50
51
51
52
52
53
53
54
54
55
55
57
57
58
58
59
59
60
60
61
61
62
62
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
J O I N T
72
64
74
66
75
67
76
68
77
69
78
70
79
71
80
72
71
72
73
74
74
75
75
76
76
77
77
78
78
79
79
80
F O R C E S
63
63
65
65
66
66
67
67
68
68
69
69
70
70
71
71
Load Case
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
LOAD1
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
81
83
87
89
90
92
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
-120.251
-120.251
-202.645
-48.991
-48.991
-126.932
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD82Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
82
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD82X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
82
1.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD87Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
87
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD87X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
87
1.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD92Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
92
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD92X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
92
1.000
0.000
0.000
0.000
0.000
0.000
MODE
TYPE=RITZ N=4
LOAD=LOAD82Z
LOAD=LOAD82X
LOAD=LOAD87Z
LOAD=LOAD87X
LOAD=LOAD92Z
LOAD=LOAD92X
NLLINK=*
FUNCTION
NAME=FUNC82X NPL=1
0 .6364
.0054 .4534
.0108 .4488
.0162 .0033
.0216 0
.027 -.0033
.0324 -.4488
.0378 -.4534
.0432 -.6364
.0486 -.4534
.054 -.4488
.0594 -.0033
.0647 0
.0702 .0033
.0756 .4488
.081 .4534
.0863 .6364
NAME=FUNC82Z NPL=1
0 0
.0054 .0066
.0108 .4465
.0162 .4511
.0216 .6364
.027 .4511
.0324 .4465
.0378 .0066
.0432 0
.0486 -.0066
.054 -.4465
.0594 -.4511
.0647 -.6364
.0702 -.4511
.0756 -.4465
.081 -.0066
.0863 0
NAME=FUNC87X NPL=1
0 17.978
.0054 12.8107
.0108 12.6794
.0162 .0931
.0216 0
.027 -.0931
.0324 -12.6794
.0378 -12.8107
.0432 -17.978
.0486 -12.8107
.054 -12.6794
.0594 -.0931
.0647 0
.0702 .0931
.0756 12.6794
.081 12.8107
.0863 17.978
NAME=FUNC87Z NPL=1
PRINT=Y
PRINT=Y
PRINT=Y
PRINT=Y
0 0
.0054 .1862
.0108 12.6132
.0162 12.7432
.0216 17.978
.027 12.7452
.0324 12.6132
.0378 .1862
.0432 0
.0486 -.1862
.054 -12.6132
.0594 -12.7452
.0647 -17.978
.0702 -12.7452
.0756 -12.6132
.081 -.1862
.0863 0
NAME=FUNC92X NPL=1 PRINT=Y
0 17.3417
.0054 12.3573
.0108 12.2306
.0162 .0898
.0216 0
.027 -.0898
.0324 -12.2306
.0378 -12.3573
.0432 -17.3417
.0486 -12.3573
.054 -12.2306
.0594 -.0898
.0647 0
.0702 .0898
.0756 12.2306
.081 12.3573
.0863 17.3417
NAME=FUNC92Z NPL=1 PRINT=Y
0 0
.0054 .1796
.0108 12.1668
.0162 12.2941
.0216 17.3417
.027 12.2941
.0324 12.1668
.0378 .1796
.0432 0
.0486 -.1796
.054 -12.1668
.0594 -12.2941
.0647 -17.3417
.0702 -12.2941
.0756 -12.1668
.081 -.1796
.0863 0
HISTORY
NAME=HIST1 TYPE=PER NSTEP=12000 DT=.0007192 DAMP=0 ENVE=Y
MODE=1 DAMP=.15
MODE=2 DAMP=.12
MODE=3 DAMP=.09
MODE=4 DAMP=.05
LOAD=LOAD82X FUNC=FUNC82X SF=1 AT=0
LOAD=LOAD82Z FUNC=FUNC82Z SF=1 AT=0
LOAD=LOAD87X FUNC=FUNC87X SF=1 AT=0
LOAD=LOAD87Z FUNC=FUNC87Z SF=1 AT=0
LOAD=LOAD92X FUNC=FUNC92X SF=1 AT=0
LOAD=LOAD92Z FUNC=FUNC92Z SF=1 AT=0
COMBO
NAME=COMB1
LOAD=LOAD1
HIST=HIST1
SF=1
SF=1
SAP2000 v7.42 File: FOUNDATION MODEL01
L O A D
C O M B I N A T I O N
COMBO
TYPE
COMB1
ADD
F R A M E
FRAME
127
127
128
128
129
129
130
130
131
131
132
132
M U L T I P L I E R S
CASE
FACTOR
TYPE
LOAD1
HIST1
1.0000
1.0000
STATIC(DEAD)
HISTORY
TITLE
COMB1
E L E M E N T
LOAD
N-mm Units
LOC
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
F O R C E S
P
V2
V3
T
-211775.75
-176380.77
-140985.80
4291.34
4291.34
4291.34
1507.60
1507.60
1507.60
2348153.98
2348153.98
2348153.98
-232072.66
-196677.69
-161282.71
-5902.29
-5902.29
-5902.29
-217016.93
-181621.95
-146226.99
9250.96
9250.96
9250.96
-238758.76
-203363.79
-167968.83
-970.47
-970.47
-970.47
6266.78
6266.78
6266.78
6266.78
6266.78
-10537.12
-5181.24
174.64
5530.53
10886.41
8023.66
8023.66
8023.66
8023.66
8023.66
-15665.87
-15665.87
-15665.87
-15665.87
-15665.87
-27143.96
-21788.08
-16432.20
-11076.32
-5720.44
-11835.24
-11835.24
-11835.24
-11835.24
-11835.24
10531.50
10531.50
10531.50
10531.50
10531.50
10562.40
15918.28
21274.17
26630.05
31985.93
8023.66
8023.66
8023.66
8023.66
8023.66
-11230.87
-11230.87
-11230.87
-11230.87
-11230.87
-5865.72
-509.84
4846.04
10201.92
15557.80
-11835.24
-11835.24
-11835.24
-11835.24
-11835.24
4854.81
4854.81
4854.81
4854.81
4854.81
-8460.33
-3253.58
1953.17
7159.92
12366.67
15548.35
15548.35
15548.35
15548.35
15548.35
-10427.51
-10427.51
-10427.51
-10427.51
-10427.51
-15577.64
-10370.89
-5164.14
42.61
5249.36
-10427.73
-10427.73
-10427.73
-10427.73
-10427.73
7811.01
7811.01
7811.01
7811.01
7811.01
-9362.74
-4155.99
1050.76
6257.51
11464.26
15364.71
15364.71
15364.71
15364.71
15364.71
-7435.62
-7435.62
-7435.62
-7435.62
-17110.16
-11903.41
-6696.66
-1489.91
-10614.79
-10614.79
-10614.79
-10614.79
M2
M3
4155797.42 14766883.24
406363.30 3655600.28
8264065.55 16015637.82
-3267.77 -3454809.89 -8662969.67 -14573043.5
-3267.77 -3454809.89 -391145.97
645060.12
-3267.77 -3454809.89 -3684715.88 -7462243.04
689.66
689.66
689.66
2374134.35 1790985.72 24254335.94
2374134.35
203490.05
307172.39
2374134.35 10742331.85 -105935.06
-4248.48 -3427674.88 -11264791.3 -5141198.73
-4248.48 -3427674.88 -432728.17 -2653014.30
-4248.48 -3427674.88 -1802254.94 -23672061.8
722553.43 12479445.04 12229092.71
722553.43 9334871.17 15311784.06
722553.43 6190296.69 16296044.31
722553.43 3045722.51 15278832.40
722553.43
-88171.80 12721557.04
-447272.05
-447272.05
-447272.05
-447272.05
-447272.05
-18651183.6 -13382832.3
-14012806.4 -3794292.60
-9374427.43 3674553.83
-4736049.34 8598040.01
-110806.04 11398682.40
722553.43
-88171.80 12721557.04
722553.43 4540707.45 13307672.27
722553.43 9179085.55 12145503.23
722553.43 13817463.94 9027815.25
722553.43 18455842.34 3938251.04
-447272.05
-447272.05
-447272.05
-447272.05
-447272.05
-110806.04 11398682.40
-3243426.46 6824386.90
-6388000.63 -405571.29
-9532575.12 -9739250.79
-12677149.6 -21180759.0
5780061.04 22020079.81
5780061.04 16097829.67
5780061.04 10175578.30
5780061.04 4253326.93
5780061.04 1083292.97
1568537.60
1568537.60
1568537.60
1568537.60
1568537.60
-14812357.9 -7832573.85
-10839394.5 -2889378.24
-6866430.37
70045.01
-2893466.29 1014469.30
-1685685.00 -296474.12
-1262929.23 21798793.72
-1262929.23 15946079.40
-1262929.23 10094103.61
-1262929.23 4242127.82
-1262929.23 1141765.80
-4947241.36
-4947241.36
-4947241.36
-4947241.36
3096631.47
5334490.17
5591113.59
3948249.36
551033.85
1374507.14
3972739.07
4608936.16
3344555.97
502621.76
-15037781.0 -10068576.0
-10993544.6 -4541490.06
-6949308.25 -998176.12
-2905071.58
559411.01
1524.00
133
133
134
134
135
135
136
136
137
137
138
138
139
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
-7435.62
3716.84
-10614.79 -4947241.36 -1626316.48
-261824.24
4854.81
4854.81
4854.81
4854.81
4854.81
12366.67
17573.42
22780.17
27986.92
33193.67
15548.35
15548.35
15548.35
15548.35
15548.35
-10427.51
-10427.51
-10427.51
-10427.51
-10427.51
5249.36
10456.11
15662.86
20869.62
26076.36
-10427.73
-10427.73
-10427.73
-10427.73
-10427.73
7811.01
7811.01
7811.01
7811.01
7811.01
11464.26
16671.01
21877.77
27084.52
32291.27
15364.71
15364.71
15364.71
15364.71
15364.71
-7435.62
-7435.62
-7435.62
-7435.62
-7435.62
3716.84
8923.59
14130.34
19337.09
24543.85
-10614.79
-10614.79
-10614.79
-10614.79
-10614.79
-4947241.36
-4947241.36
-4947241.36
-4947241.36
-4947241.36
35739.48
35739.48
35739.48
35739.48
35739.48
-91101.78
-83067.96
-75034.13
-67000.32
-58966.50
2080.13
2080.13
2080.13
2080.13
2080.13
1379210.56
1379210.56
1379210.56
1379210.56
1379210.56
3306143.40
2490912.53
1675681.81
860451.16
51854.07
13185947.27
47341782.89
79343999.02
109508691.4
147419815.7
-44735.89
-44735.89
-44735.89
-44735.89
-44735.89
-155698.82
-147665.00
-139631.18
-131597.37
-123563.55
-3144.95
-3144.95
-3144.95
-3144.95
-3144.95
-917474.62
-917474.62
-917474.62
-917474.62
-917474.62
-4881836.64
-3649292.55
-2416748.46
-1184204.37
42013.28
-85463855.
-26487560.4
24532194.82
72188829.35
116696899.4
18877.41
18877.41
18877.41
18877.41
18877.41
143117.05
151150.87
159184.69
167218.51
175252.33
2080.13
2080.13
2080.13
2080.13
2080.13
1379210.56
1379210.56
1379210.56
1379210.56
1379210.56
51854.07
1280883.74
2513427.90
3745971.99
4978516.08
147419815.7
102109504.4
65235614.01
28696181.03
-6934501.95
-63852.47
-63852.47
-63852.47
-63852.47
-63852.47
62796.52
70830.35
78864.17
86897.98
94931.80
-3144.95
-3144.95
-3144.95
-3144.95
-3144.95
65.89
65.89
65.89
65.89
65.89
-71019.58
-60606.08
-50192.58
-39779.08
-29365.58
3888.11
3888.11
3888.11
3888.11
3888.11
6945798.03
6945798.03
6945798.03
6945798.03
6945798.03
9694214.71
7719564.15
5744914.21
3773215.01
1806433.41
-42398572.
-8965040.59
19178431.09
42031844.18
59843150.56
-13994.16
-13994.16
-13994.16
-13994.16
-13994.16
-73995.77
-63582.26
-53168.77
-42755.26
-32341.77
-6313.39
-6313.39
-6313.39
-6313.39
-6313.39
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-15549664.7
-12347512.3
-9145360.45
-5950021.99
-2782345.59
-48861530.
-13916708.8
15738052.06
40102754.36
58945384.41
5780061.04 1083292.97
551033.85
5780061.04 5054703.09 -2948926.39
5780061.04 9026896.92 -7924709.47
5780061.04 12999091.96 -14884263.9
5780061.04 16971353.53 -23827591.6
1568537.60
1568537.60
1568537.60
1568537.60
1568537.60
-1685685.00 -296474.12
-7599777.50 -5592263.18
-13523699.4 -13274341.4
-19447620.7 -22942405.7
-25371542.0 -34597310.
-1262929.23 1141765.80
502621.76
-1262929.23 5184685.03 -2216772.61
-1262929.23 9227637.21 -6662641.91
-1262929.23 13271873.58 -13038189.1
-1262929.23 17316109.95 -21397507.9
-1626316.48 -261824.24
-7470986.97 -5595889.89
-13324943.4 -12932706.0
-19178899.1 -22260021.1
-25032854.9 -33571108.
-917474.62
42013.28 116696899.4
-917474.62 -770010.20 74852934.57
-917474.62 -1585240.92 15744111.33
-917474.62 -2400471.64 -46573904.
-917474.62 -3215702.36 -113150571
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
2745.97
2745.97
2745.97
2745.97
2745.97
-71699.46
-61285.96
-50872.46
-40458.96
-30045.46
4063.69
4063.69
4063.69
4063.69
4063.69
-11171.15
-11171.15
-11171.15
-11171.15
-11171.15
-74258.87
-63845.37
-53431.87
-43018.37
-32604.87
-6119.20
-6119.20
-6119.20
-6119.20
-6119.20
-8510710.75
-8510710.75
-8510710.75
-8510710.75
-8510710.75
COMB1 MAX
0.00
508.00
1016.00
65.89
65.89
65.89
19625.42
30038.92
40452.42
3888.11
3888.11
3888.11
6945798.03
6945798.03
6945798.03
466172.18 10124948.86 -43862613.
466172.18 8062178.99 -10080209.4
466172.18 6000278.27 18412136.00
466172.18 3938377.55 41723927.92
466172.18 1882177.97 59938133.24
-15076359.7
-11972704.4
-8869467.82
-5774476.45
-2706277.38
-49163187.
-14084709.8
15703709.26
40124021.45
58755483.32
1806433.41 59843150.56
726195.47 48247407.84
3758562.97 31694774.09
139
140
140
141
141
142
142
143
143
144
144
145
145
146
146
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
65.89
65.89
50865.92
61279.42
3888.11
3888.11
6945798.03 6940953.43 10009304.50
6945798.03 10139120.86 -16964069.8
-13994.16
-13994.16
-13994.16
-13994.16
-13994.16
16649.23
27062.73
37476.23
47889.73
58303.23
-6313.39
-6313.39
-6313.39
-6313.39
-6313.39
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-2782345.59
-393025.61
-2178237.88
-4145825.44
-6117562.48
58945384.41
46692091.75
28883272.86
5722649.23
-22731357.1
2745.97
2745.97
2745.97
2745.97
2745.97
18945.54
29359.04
39772.54
50186.04
60599.54
4063.69
4063.69
4063.69
4063.69
4063.69
466172.18
466172.18
466172.18
466172.18
466172.18
1882177.97
707230.37
3644095.37
6727841.92
9826782.88
59938133.24
48594238.28
32193628.23
10639871.83
-16201798.1
-11171.15
-11171.15
-11171.15
-11171.15
-11171.15
16386.13
26799.63
37213.13
47626.63
58040.13
-6119.20
-6119.20
-6119.20
-6119.20
-6119.20
-8510710.75
-8510710.75
-8510710.75
-8510710.75
-8510710.75
-2706277.38
-412811.97
-2280438.78
-4335524.47
-6397132.53
58755483.32
46893778.84
29526353.38
6750599.37
-21318159.3
-2516.27
-2516.27
-2516.27
-2516.27
-2516.27
-82081.99
-74048.17
-66014.35
-57980.52
-49946.71
6790.26
6790.26
6790.26
6790.26
6790.26
-2610.88
-2610.88
-2610.88
-2610.88
-2610.88
-104008.18
-95974.36
-87940.54
-79906.72
-71872.90
-4368.08
-4368.08
-4368.08
-4368.08
-4368.08
-1260999.92
-1260999.92
-1260999.92
-1260999.92
-1260999.92
-6710126.50
-4998220.86
-3287186.80
-1576270.69
130144.05
-25127208.3
14055389.40
50081676.64
82956139.22
112682056.8
-2516.27
-2516.27
-2516.27
-2516.27
-2516.27
76985.30
85019.12
93052.94
101086.76
109120.57
6790.26
6790.26
6790.26
6790.26
6790.26
1852884.74
1852884.74
1852884.74
1852884.74
1852884.74
162339.01
1850016.17
3561308.26
5273214.21
6985119.84
114415376.5
90264711.91
63883768.31
34370390.63
1711918.95
-2610.88
-2610.88
-2610.88
-2610.88
-2610.88
55059.10
63092.93
71126.75
79160.57
87194.38
-4368.08
-4368.08
-4368.08
-4368.08
-4368.08
-1260999.92
-1260999.92
-1260999.92
-1260999.92
-1260999.92
-302001.59
-248909.13
-195816.69
15780.92
15780.92
15780.92
-355.46
-355.46
-355.46
-361548.23
-308455.76
-255363.32
-30659.40
-30659.40
-30659.40
-305976.92
-252884.48
-199792.03
43514.81
43514.81
43514.81
-1655.05
-1655.05
-1655.05
-379484.81
-326392.38
-273299.92
-4809.07
-4809.07
-4809.07
-8219.14 -6180465.65 -14772585.4 -28190371.1
-8219.14 -6180465.65 6499572.20 -17110597.8
-8219.14 -6180465.65 11143408.20 -119413257
-195199.26
-168653.03
-142106.81
3735.70
3735.70
3735.70
7640.38
7640.38
7640.38
660729.31 15071327.51 12084057.62
660729.31 -4613491.55 2409232.79
660729.31 -15801817.0 18357240.60
-215810.26
-189264.03
-162717.81
-6424.95
-6424.95
-6424.95
4193.97
4193.97
4193.97
-974431.14 5911592.41 -14931024.2
-974431.14 -5086901.91 1693046.84
-974431.14 -24505860.6 -7266843.87
-200028.69
-173482.47
-146936.24
8696.89
8696.89
8696.89
6882.14
6882.14
6882.14
648612.78 13072183.53 20941668.09
648612.78 -4607708.55 -1568813.86
648612.78 -14620752.3 1742547.61
-221454.53
-194908.31
-168362.07
-1531.50
-1531.50
-1531.50
3662.57
3662.57
3662.57
-987382.71 4338840.94 -6190601.20
-987382.71 -5262668.72 -2237493.13
-987382.71 -22577297.4 -24108217.2
1852884.74 10795904.38 10269937.74
1852884.74 8134717.37 40868464.36
1852884.74 5473530.36 68327335.21
1852884.74 2812343.04 92637648.32
1852884.74
162339.01 114415376.5
130144.05 112682056.8
-2510030.98 81796810.30
-5171217.68 46944042.97
-7832404.69 8931707.76
-10493591.7 -32240701.
4202910.10 6005026.25 60760058.59
4202910.10 6948373.39 20229947.51
4202910.10 24570592.04 88777175.29
-6884.02 -6159952.76 -11091409.3 -70346851.
-6884.02 -6159952.76 6707559.60 7831507.57
-6884.02 -6159952.76 7843731.69 -20985112.3
4183765.92 2570236.82 106187099.6
4183765.92 6856944.65 -6295886.23
4183765.92 27802537.84 -3279399.41
S H E L L
SHELL
68
68
E L E M E N T
LOAD JOINT
COMB1 MAX
39
47
38
COMB1 MIN
39
47
38
R E S U L T A N T S
F11
F22
M12
V13
V23
0.00
0.00
0.00
0.00
0.00
0.00
0.00 -4137.63
0.00 -2222.20
0.00 152752.74
F12
M11
7985.64
2228.93
-5103.80 -10573.69
55896.48
1262.95
M22
99.59
99.59
99.59
25.44
25.44
25.44
0.00
0.00
0.00
0.00
0.00
0.00
0.00 -10067.87
0.00 -13598.19
0.00 67371.22
2789.07
-830.10
-6917.51 -11592.29
30639.41 -2872.55
50.29
50.29
50.29
14.32
14.32
14.32
LINE ELEMENT FLOWCHART
START
Be , He , Ase , Asse , Tk , Vk , m0
γ f , γ s , γ c , c, f y
V
I , Al , u, e’, Ac , fcd , fyd , τtd , τtu , τwd , τwu , z, Ass ,
Calculate:
AssT , Ass total ( AssV + AssT )
τtu > 3.92 MPa
τ wu > 4.41 MPa
No
Show:
Be , He , Ase , Asse
Yes
τtd τ wd
+
≤1
τtu τwu
END
No
Yes
B
A
A
B
Ase = Ase + 1
Yes
Ase < 0.0015 Be H e
No
Ase > 0.04 Be H e
Yes
Ase = Ase − 1
No
No
Asse <
0.0007 Be H e
Be + H e − 4c
Show:
Be , He , Ase , Asse
Yes
Yes
Asse = Asse + 1
Asse ≥ Ass total
No
END
Be =Be −1
He =He −1
FOOTING FLOWCHART
START
lx , ly , h, Asx , Asy , β1, β2 , Mmax,
cp, Gs, υs ,
ρ, Ω, looping = 0
d = β 1 γ f M m ax
h = d + cp
h < hl
hl ≤ h
No
Yes
No
Yes
h = hl
Show:
Asx = Asy = β2
γ f M max
h, Asx , Asy , lx , ly
d
0.0015 h ≤ ( Asx , Asy ) ≤ 0.04 h
END
Yes
B
C
A
A
B
η = 1.5046
β x = 0.02105
β y = 0.02105
ηxy = 1 +
r0 = 2
2 l y GS
1 − vs
lx
+ 0.98947
ly
ly
+ 0.98947
0.55 ( 2 − vs ) h
lx
4lx l y
π
lx l y ( lx2 + l y2 )
6π
16 GS r03
KT =
3
K X = 4 (1 + vs ) GS β x ηxy lx l y
4
Yes
Ω
2 Ω
≤ 3.92||twu>4.41)lanjut=false;else lanjut=true;
if(!lanjut)break;
if((ttd/ttu+twd/twu-1)Text.ToDouble();
B2=Design->beta2->Text.ToDouble();
gf=Design->gf->Text.ToDouble();
cp=Design->cp->Text.ToDouble();
hl=Design->hl->Text.ToDouble()*1000;
vs=Design->poi
Loe Kian An
NRP : 0021025
Pembimbing : Winarni Hadipratomo, Ir.
UNIVERSITAS KRISTEN MARANATHA
FAKULTAS TEKNIK JURUSAN TEKNIK SIPIL
BANDUNG
ABSTRAK
Pondasi mesin merupakan salah satu bagian terpenting dalam bangunan
industri. Dari berbagai macam pondasi mesin, pondasi mesin tipe rangka
merupakan jenis pondasi mesin yang sering digunakan dan memiliki banyak
kelebihan dibandingkan dengan jenis lainnya. Untuk meminimalkan biaya
konstruksinya maka diperlukan proses optimasi.
Optimasi dilakukan pada hasil desain dari pondasi mesin yang meliputi
dimensi dan luas tulangan dari tiap elemen struktur. Dalam hal ini, dibuat suatu
program optimasi dengan menggunakan bahasa pemrograman Borland C++
Builder 4.0 Proffesional berdasarkan rumus – rumus, desain variabel serta syarat
– syarat batas yang ada. Hasil desain yang sudah dioptimasi kemudian
dibandingkan dengan hasil desain awal yang belum dioptimasi.
Setelah melalui proses optimasi, dapat disimpulkan bahwa optimasi
membuat biaya konstruksi lebih murah dibandingkan dengan biaya konstruksi
tanpa optimasi dan hasil optimasi dapat digunakan sebagai pengganti hasil desain
awal.
DAFTAR ISI
Halaman
SURAT KETERANGAN TUGAS AKHIR ......................................................... i
SURAT KETERANGAN SELESAI TUGAS AKHIR ...................................... ii
ABSTRAK ............................................................................................................ iii
PRAKATA ............................................................................................................ iv
DAFTAR ISI......................................................................................................... vi
DAFTAR NOTASI............................................................................................. viii
DAFTAR GAMBAR........................................................................................... xii
DAFTAR TABEL .............................................................................................. xiii
DAFTAR LAMPIRAN ..................................................................................... xiv
BAB 1 PENDAHULUAN
1.1 Latar Belakang Masalah........................................................................ 1
1.2 Maksud dan Tujuan Penulisan .............................................................. 2
1.3 Ruang Lingkup Pembahasan................................................................. 2
1.4 Sistematika Pembahasan ....................................................................... 3
BAB 2 TINJAUAN PUSTAKA
2.1 Pondasi Mesin Tipe Rangka ................................................................. 4
2.1.1 Bentuk Spesifik Pondasi Mesin Tipe Rangka............................... 4
2.1.2 Syarat Umum Pondasi Mesin........................................................ 6
2.1.3 Tipe Mesin yang Digunakan ......................................................... 7
2.2 Struktur Pondasi Mesin Tipe Rangka .................................................... 8
2.2.1 Pelat Dasar ................................................................................... 8
2.2.2 Balok dan Kolom ........................................................................ 10
2.3 Desain Beton Bertulang ....................................................................... 11
2.4 Parameter Tanah yang Dipakai ............................................................ 13
BAB 3 OPTIMASI STRUKTUR
3.1 Prosedur Desain Optimasi.................................................................... 15
3.1.1 Desain Variabel dan Fungsi Biaya............................................. 15
3.1.2 Desain Syarat Batas ( constraint design ) .................................. 17
3.2 Prosedur Optimasi................................................................................ 18
BAB 4 STUDI KASUS ....................................................................................... 19
BAB 5 KESIMPULAN DAN SARAN
5.1 Kesimpulan .......................................................................................... 31
5.2 Saran..................................................................................................... 32
DAFTAR PUSTAKA ......................................................................................... 33
LAMPIRAN
DAFTAR NOTASI
Ac
= Luas efektif beton pada potongan melintang
Al
= Luas dengan keliling luar u
AS
= Luas tulangan baja arah longitudinal
Ase
= Luas tulangan baja arah longitudinal pada elemen ke – e
ASS
= Luas tulangan baja arah transversal
ASX
= Luas tulangan baja pada arah longitudinal yang tegak lurus sumbu y
ASY
= Luas tulangan baja pada arah longitudinal yang tegak lurus sumbu x
Asse
= Luas tulangan baja arah transversal pada elemen ke – e
AST
= Luas tulangan torsi arah longitudinal
T
ASS
= Luas tulangan torsi pada arah transversal
V
ASS
= Luas tulangan geser pada arah transversal
B
= Lebar elemen balok / kolom pada potongan melintang
Be
= Lebar elemen balok / kolom pada potongan melintang pada elemen ke-e
Cc
= Harga beton per unit volume
Cf
= Harga bekisting per unit luas
Cs
= Harga tulangan baja per unit massa
C pf
= Harga stoot werk per unit luas
cp
= Selimut beton untuk pelat
d
= Tinggi efektif pelat
e
= Elemen / nomor elemen
e’
= Seperenam dari lebar elemen balok / kolom pada potongan melintang
f ( b ) = Fungsi biaya ( total cost )
f cd
= Tegangan beton desain
f ck
= Tegangan karakteristik beton
fy
= Tegangan leleh baja
f yd
= Tegangan baja desain
GS
= Modulus geser tanah
h
= Tebal pelat
hl
= Tebal minimum pelat
H
= Tinggi elemen balok / kolom pada potongan melintang
He
= Tinggi elemen balok / kolom pada potongan melintang pada elemen ke-e
I
= Momen inersia terhadap garis netral
KX
= Konstanta pegas tanah arah x
KY
= Konstanta pegas tanah arah y
KT
= Konstanta pegas rotasi dari tanah
L
= Panjang kolom
Le
= Panjang elemen ke – e
lx
= Setengah dari sisi pendek pelat
ly
= Setengah dari sisi panjang pelat
lx
min
= Setengah dari sisi pendek pelat minimum
ly
min
= Setengah dari sisi panjang pelat minimum
Mmax = Momen lentur maksimum yang bekerja pada elemen pelat
m0
= Momen lentur maksimum yang terjadi pada elemen rangka ke – e
r0
= Jari – jari ekuivalen pelat dasar
Tk
= Momen torsi yang terjadi pada elemen rangka
u
= Keliling luar elemen rangka
Vk
= Gaya geser yang terjadi pada elemen rangka
z
= Perbandingan antara momen inersia dengan momen lentur maksimum
Ω
= Frekuensi getar harmonis dari mesin
β1
β2
βx
βy
γc
= Koefisien yang tergantung dari tegangan karakteristik beton
= Koefisien yang tergantung dari tegangan karakteristik beton
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Faktor pembagi untuk memperoleh tegangan beton desain
γf
= Faktor beban ( load factor )
γs
= Faktor pembagi untuk memperoleh tegangan baja desain
η
= Koefisien reaksi tanah dasar
ηxy
τ td
= Koefisien yang tak berdimensi yang berhubungan dengan dimensi pelat
dasar dan Poisson’s ratio dari tanah
= Tegangan desain pada beton akibat torsi
τ tu
τ wd
= Tegangan batas ( ultimate ) pada beton terhadap torsi
= Tegangan desain pada beton akibat geser
τ wu
= Tegangan batas ( ultimate ) pada beton terhadap geser
vs
= Poisson’s Ratio of Soil
ω Pelat = Frekuensi fundamental pelat
ω Rangka = Frekuensi fundamental rangka
ωt
= Frekuensi total dari sistem
DAFTAR GAMBAR
Halaman
Gambar 2.1
Bentuk Spesifik Pondasi Mesin Tipe Rangka ................................. 5
Gambar 2.2
Pemodelan Pelat .............................................................................. 8
Gambar 2.3
Elemen Segitiga Pelat...................................................................... 9
Gambar 2.4
Elemen Rangka dan Potongan Melintang ..................................... 10
Gambar 2.5
Potongan Melintang Elemen Rangka dan Pelat ............................ 11
Gambar 4.1
Diskretisasi Elemen Struktur......................................................... 20
Gambar 4.2
Gambar Beban Sinusoidal dan Cosinusoidal pada Titik Nodal 82
....................................................................................................... 20
DAFTAR TABEL
Halaman
Tabel 2.1
Amplitudo Ijin Berdasarkan Frekuensi Operasi dan Arah
Getar Mesin .................................................................................... 7
Tabel 4.1
Pembebanan Struktur Akibat Beban Statik dan
Beban Dinamik ............................................................................. 20
Tabel 4.2
Desain Awal Pelat Dasar............................................................... 24
Tabel 4.3
Desain Awal Elemen Rangka ....................................................... 24
Tabel 4.4
Input Sheet Elemen Rangka ......................................................... 26
Tabel 4.5
Hasil Optimasi Elemen Rangka .................................................... 27
Tabel 4.6
Hasil Optimasi Pelat Dasar .......................................................... 28
Tabel 4.7
Perhitungan Biaya Tanpa Proses Optimasi .................................. 29
Tabel 4.8
Perbandingan Biaya ..................................................................... 29
DAFTAR LAMPIRAN
Halaman
Lampiran 1
Gambar Pemodelan Struktur Tiga Dimensi................................... 34
Lampiran 2
Gambar Pemodelan Pelat............................................................... 35
Lampiran 3
Letak Beban Statik Pada Struktur.................................................. 36
Lampiran 4
Letak Beban Dinamik Pada Struktur ............................................. 37
Lampiran 5
Input Data SAP 2000..................................................................... 38
Lampiran 6
Output Data SAP 2000 .................................................................. 46
Lampiran 7
Gambar Bidang Momen ................................................................ 50
Lampiran 8
Gambar Bidang Gaya Geser .......................................................... 51
Lampiran 9
Kontur Momen Lentur Pelat.......................................................... 52
Lampiran 10
Flowchart Elemen Rangka............................................................ 53
Lampiran 11
Flowchart Elemen Pelat................................................................ 55
Lampiran 12 Flowchart Biaya Konstruksi .......................................................... 57
Lampiran 13 Script Program Elemen Rangka .................................................... 58
Lampiran 14 Script Program Elemen Pelat......................................................... 59
Lampiran 15 Script Program Biaya Konstruksi .................................................. 61
SAP2000 v7.42 File: FOUNDATION MODEL01
S T A T I C
L O A D
C A S E S
STATIC
CASE
CASE
TYPE
SELF WT
FACTOR
LOAD1
LOAD82Z
LOAD82X
LOAD87Z
LOAD87X
LOAD92Z
LOAD92X
DEAD
OTHER
OTHER
OTHER
OTHER
OTHER
OTHER
1.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
T I M E
KN-cm Units
H I S T O R Y
C A S E S
HISTORY
CASE
HISTORY
TYPE
NUMBER OF
TIME STEPS
TIME STEP
INCREMENT
HIST1
PERIODIC
12000
7.192E-04
J O I N T
D A T A
JOINT
ANGLE-C
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
RESTRAINTS
ANGLE-A
ANGLE-B
1
-365.78500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
2
-261.27500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
3
-156.76500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
4
-52.25500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
5
52.25500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
6
156.76500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
7
261.27500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
8
365.78500
-457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
9
-365.78500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
10
-261.27500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
11
-156.76500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
12
-52.25500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
13
52.25500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
14
156.76500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
15
261.27500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
16
365.78500
-355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
17
-365.78500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
18
-261.27500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
19
-156.76500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
20
-52.25500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
21
52.25500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
22
156.76500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
23
261.27500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
24
365.78500
-254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
25
-365.78500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
26
-261.27500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
27
-156.76500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
28
-52.25500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
29
52.25500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
30
156.76500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
31
261.27500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
32
365.78500
-152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
33
-365.78500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
34
-261.27500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
35
-156.76500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
36
-52.25500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
37
52.25500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
38
156.76500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
39
261.27500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
40
365.78500
-50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
41
-365.78500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
42
-261.27500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
43
-156.76500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
44
-52.25500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
45
52.25500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
46
156.76500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
47
261.27500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
48
365.78500
50.80000
0.00000
0 0 0 0 0 0
0.000
0.000
49
-365.78500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
50
-261.27500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
51
-156.76500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
52
-52.25500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
53
52.25500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
54
156.76500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
55
261.27500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
56
365.78500
152.40000
0.00000
0 0 0 0 0 0
0.000
0.000
57
-365.78500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
58
-261.27500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
59
-156.76500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
60
-52.25500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
61
52.25500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
62
156.76500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
63
261.27500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
64
365.78500
254.00000
0.00000
0 0 0 0 0 0
0.000
0.000
65
-365.78500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
66
-261.27500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
67
-156.76500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
68
-52.25500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
69
52.25500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
70
156.76500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
71
261.27500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
72
365.78500
355.60000
0.00000
0 0 0 0 0 0
0.000
0.000
73
-365.78500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
74
-261.27500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
75
-156.76500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
76
-52.25500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
77
52.25500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
78
156.76500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
79
261.27500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
80
365.78500
457.20000
0.00000
0 0 0 0 0 0
0.000
0.000
81
-156.76500
-355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
82
0.00000
-355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
83
156.76500
-355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
84
-156.76500
-203.20000
518.00000
0 0 0 0 0 0
0.000
0.000
85
156.76500
-203.20000
518.00000
0 0 0 0 0 0
0.000
0.000
86
-156.76500
-50.80000
518.00000
0 0 0 0 0 0
0.000
0.000
87
0.00000
-50.80000
518.00000
0 0 0 0 0 0
0.000
0.000
88
156.76500
-50.80000
518.00000
0 0 0 0 0 0
0.000
0.000
89
-156.76500
152.40000
518.00000
0 0 0 0 0 0
0.000
0.000
90
156.76500
152.40000
518.00000
0 0 0 0 0 0
0.000
0.000
91
-156.76500
355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
92
0.00000
355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
93
156.76500
355.60000
518.00000
0 0 0 0 0 0
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
J O I N T
S P R I N G
D A T A
JOINT
K-U1
K-U2
K-U3
K-R1
K-R2
K-R3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12508.720
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
12626.410
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
11215.022
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
MATERIAL
NAME=STEEL IDES=S M=7.85E-09 W=7.682E-05
T=0 E=206010 U=.3 A=.0000117 FY=490.5
NAME=CONC IDES=C M=2.400668E-09 W=2.451662E-05
T=0 E=21133.33 U=.2 A=.0000099
NAME=OTHER IDES=N M=2.40068E-09 W=2.356161E-05
T=0 E=24821.13 U=.2 A=.0000099
FRAME SECTION
NAME=FSEC1 MAT=STEEL SH=R T=500,300 A=150000 J=2.817371E+09
I=3.125E+09,1.125E+09 AS=125000,125000
NAME=KOLOM1 MAT=CONC SH=R T=609.6,914.4 A=557418.3 J=4.052509E+10
I=1.726195E+10,3.883939E+10 AS=464515.2,464515.2
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
2478654841
NAME=KOLOM2 MAT=CONC SH=R
I=5.825908E+10,5.825908E+10
NAME=KOLOM3 MAT=CONC SH=R
I=7.282385E+09,2.912954E+10
NAME=BALOK1 MAT=CONC SH=R
I=1.726195E+10,3.883939E+10
NAME=BALOK2 MAT=CONC SH=R
I=3.883939E+10,1.726195E+10
NAME=BALOK3 MAT=CONC SH=R
I=5.825908E+10,5.825908E+10
SHELL SECTION
NAME=PELAT MAT=CONC
F R A M E
T=914.4,914.4 A=836127.4
AS=696772.8,696772.8
T=457.2,914.4 A=418063.7
AS=348386.4,348386.4
T=609.6,914.4 A=557418.3
AS=464515.2,464515.2
T=914.4,609.6 A=557418.3
AS=464515.2,464515.2
T=914.4,914.4 A=836127.4
AS=696772.8,696772.8
TYPE=Plate,Thick
E L E M E N T
J=9.845785E+10
J=2.000153E+10
J=4.052509E+10
J=4.052509E+10
J=9.845785E+10
TH=914.4
D A T A
FRAME
JNT-1
JNT-2
SECTION
ANGLE
RELEASES
SEGMENTS
R1
R2
FACTOR
LENGTH
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
11
14
81
82
81
83
84
85
86
87
86
88
89
90
91
92
35
38
67
70
81
83
82
83
84
85
86
88
87
88
89
90
91
93
92
93
86
88
91
93
KOLOM1
KOLOM1
BALOK1
BALOK1
BALOK2
BALOK2
BALOK2
BALOK2
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
BALOK3
KOLOM2
KOLOM2
KOLOM3
KOLOM3
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
000000
2
2
4
4
4
4
4
4
4
4
4
4
4
4
4
4
2
2
2
2
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
518.000
518.000
156.765
156.765
152.400
152.400
152.400
152.400
156.765
156.765
203.200
203.200
203.200
203.200
156.765
156.765
518.000
518.000
518.000
518.000
S H E L L
E L E M E N T
D A T A
SHELL
JNT-1
JNT-2
JNT-3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
10
2
11
3
12
4
13
5
14
6
15
7
16
8
18
10
19
11
20
12
21
13
22
14
23
15
24
16
26
18
27
19
28
20
29
21
9
10
10
11
11
12
12
13
13
14
14
15
15
16
17
18
18
19
19
20
20
21
21
22
22
23
23
24
25
26
26
27
27
28
28
29
1
1
2
2
3
3
4
4
5
5
6
6
7
7
9
9
10
10
11
11
12
12
13
13
14
14
15
15
17
17
18
18
19
19
20
20
JNT-4
SECTION
ANGLE
AREA
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
30
22
31
23
32
24
34
26
35
27
36
28
37
29
38
30
39
31
40
32
42
34
43
35
44
36
45
37
46
38
47
39
48
40
50
42
51
43
52
44
53
45
54
46
55
47
56
48
58
50
59
51
60
52
61
53
62
54
63
55
64
56
66
58
67
59
68
60
69
61
70
62
71
63
29
30
30
31
31
32
33
34
34
35
35
36
36
37
37
38
38
39
39
40
41
42
42
43
43
44
44
45
45
46
46
47
47
48
49
50
50
51
51
52
52
53
53
54
54
55
55
56
57
58
58
59
59
60
60
61
61
62
62
63
63
64
65
66
66
67
67
68
68
69
69
70
70
71
21
21
22
22
23
23
25
25
26
26
27
27
28
28
29
29
30
30
31
31
33
33
34
34
35
35
36
36
37
37
38
38
39
39
41
41
42
42
43
43
44
44
45
45
46
46
47
47
49
49
50
50
51
51
52
52
53
53
54
54
55
55
57
57
58
58
59
59
60
60
61
61
62
62
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
J O I N T
72
64
74
66
75
67
76
68
77
69
78
70
79
71
80
72
71
72
73
74
74
75
75
76
76
77
77
78
78
79
79
80
F O R C E S
63
63
65
65
66
66
67
67
68
68
69
69
70
70
71
71
Load Case
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
PELAT
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
5309.108
LOAD1
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
81
83
87
89
90
92
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
-120.251
-120.251
-202.645
-48.991
-48.991
-126.932
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD82Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
82
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD82X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
82
1.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD87Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
87
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD87X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
87
1.000
0.000
0.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD92Z
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
92
0.000
0.000
-1.000
0.000
0.000
0.000
J O I N T
F O R C E S
Load Case
LOAD92X
JOINT
GLOBAL-X
GLOBAL-Y
GLOBAL-Z
GLOBAL-XX
GLOBAL-YY
GLOBAL-ZZ
92
1.000
0.000
0.000
0.000
0.000
0.000
MODE
TYPE=RITZ N=4
LOAD=LOAD82Z
LOAD=LOAD82X
LOAD=LOAD87Z
LOAD=LOAD87X
LOAD=LOAD92Z
LOAD=LOAD92X
NLLINK=*
FUNCTION
NAME=FUNC82X NPL=1
0 .6364
.0054 .4534
.0108 .4488
.0162 .0033
.0216 0
.027 -.0033
.0324 -.4488
.0378 -.4534
.0432 -.6364
.0486 -.4534
.054 -.4488
.0594 -.0033
.0647 0
.0702 .0033
.0756 .4488
.081 .4534
.0863 .6364
NAME=FUNC82Z NPL=1
0 0
.0054 .0066
.0108 .4465
.0162 .4511
.0216 .6364
.027 .4511
.0324 .4465
.0378 .0066
.0432 0
.0486 -.0066
.054 -.4465
.0594 -.4511
.0647 -.6364
.0702 -.4511
.0756 -.4465
.081 -.0066
.0863 0
NAME=FUNC87X NPL=1
0 17.978
.0054 12.8107
.0108 12.6794
.0162 .0931
.0216 0
.027 -.0931
.0324 -12.6794
.0378 -12.8107
.0432 -17.978
.0486 -12.8107
.054 -12.6794
.0594 -.0931
.0647 0
.0702 .0931
.0756 12.6794
.081 12.8107
.0863 17.978
NAME=FUNC87Z NPL=1
PRINT=Y
PRINT=Y
PRINT=Y
PRINT=Y
0 0
.0054 .1862
.0108 12.6132
.0162 12.7432
.0216 17.978
.027 12.7452
.0324 12.6132
.0378 .1862
.0432 0
.0486 -.1862
.054 -12.6132
.0594 -12.7452
.0647 -17.978
.0702 -12.7452
.0756 -12.6132
.081 -.1862
.0863 0
NAME=FUNC92X NPL=1 PRINT=Y
0 17.3417
.0054 12.3573
.0108 12.2306
.0162 .0898
.0216 0
.027 -.0898
.0324 -12.2306
.0378 -12.3573
.0432 -17.3417
.0486 -12.3573
.054 -12.2306
.0594 -.0898
.0647 0
.0702 .0898
.0756 12.2306
.081 12.3573
.0863 17.3417
NAME=FUNC92Z NPL=1 PRINT=Y
0 0
.0054 .1796
.0108 12.1668
.0162 12.2941
.0216 17.3417
.027 12.2941
.0324 12.1668
.0378 .1796
.0432 0
.0486 -.1796
.054 -12.1668
.0594 -12.2941
.0647 -17.3417
.0702 -12.2941
.0756 -12.1668
.081 -.1796
.0863 0
HISTORY
NAME=HIST1 TYPE=PER NSTEP=12000 DT=.0007192 DAMP=0 ENVE=Y
MODE=1 DAMP=.15
MODE=2 DAMP=.12
MODE=3 DAMP=.09
MODE=4 DAMP=.05
LOAD=LOAD82X FUNC=FUNC82X SF=1 AT=0
LOAD=LOAD82Z FUNC=FUNC82Z SF=1 AT=0
LOAD=LOAD87X FUNC=FUNC87X SF=1 AT=0
LOAD=LOAD87Z FUNC=FUNC87Z SF=1 AT=0
LOAD=LOAD92X FUNC=FUNC92X SF=1 AT=0
LOAD=LOAD92Z FUNC=FUNC92Z SF=1 AT=0
COMBO
NAME=COMB1
LOAD=LOAD1
HIST=HIST1
SF=1
SF=1
SAP2000 v7.42 File: FOUNDATION MODEL01
L O A D
C O M B I N A T I O N
COMBO
TYPE
COMB1
ADD
F R A M E
FRAME
127
127
128
128
129
129
130
130
131
131
132
132
M U L T I P L I E R S
CASE
FACTOR
TYPE
LOAD1
HIST1
1.0000
1.0000
STATIC(DEAD)
HISTORY
TITLE
COMB1
E L E M E N T
LOAD
N-mm Units
LOC
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
F O R C E S
P
V2
V3
T
-211775.75
-176380.77
-140985.80
4291.34
4291.34
4291.34
1507.60
1507.60
1507.60
2348153.98
2348153.98
2348153.98
-232072.66
-196677.69
-161282.71
-5902.29
-5902.29
-5902.29
-217016.93
-181621.95
-146226.99
9250.96
9250.96
9250.96
-238758.76
-203363.79
-167968.83
-970.47
-970.47
-970.47
6266.78
6266.78
6266.78
6266.78
6266.78
-10537.12
-5181.24
174.64
5530.53
10886.41
8023.66
8023.66
8023.66
8023.66
8023.66
-15665.87
-15665.87
-15665.87
-15665.87
-15665.87
-27143.96
-21788.08
-16432.20
-11076.32
-5720.44
-11835.24
-11835.24
-11835.24
-11835.24
-11835.24
10531.50
10531.50
10531.50
10531.50
10531.50
10562.40
15918.28
21274.17
26630.05
31985.93
8023.66
8023.66
8023.66
8023.66
8023.66
-11230.87
-11230.87
-11230.87
-11230.87
-11230.87
-5865.72
-509.84
4846.04
10201.92
15557.80
-11835.24
-11835.24
-11835.24
-11835.24
-11835.24
4854.81
4854.81
4854.81
4854.81
4854.81
-8460.33
-3253.58
1953.17
7159.92
12366.67
15548.35
15548.35
15548.35
15548.35
15548.35
-10427.51
-10427.51
-10427.51
-10427.51
-10427.51
-15577.64
-10370.89
-5164.14
42.61
5249.36
-10427.73
-10427.73
-10427.73
-10427.73
-10427.73
7811.01
7811.01
7811.01
7811.01
7811.01
-9362.74
-4155.99
1050.76
6257.51
11464.26
15364.71
15364.71
15364.71
15364.71
15364.71
-7435.62
-7435.62
-7435.62
-7435.62
-17110.16
-11903.41
-6696.66
-1489.91
-10614.79
-10614.79
-10614.79
-10614.79
M2
M3
4155797.42 14766883.24
406363.30 3655600.28
8264065.55 16015637.82
-3267.77 -3454809.89 -8662969.67 -14573043.5
-3267.77 -3454809.89 -391145.97
645060.12
-3267.77 -3454809.89 -3684715.88 -7462243.04
689.66
689.66
689.66
2374134.35 1790985.72 24254335.94
2374134.35
203490.05
307172.39
2374134.35 10742331.85 -105935.06
-4248.48 -3427674.88 -11264791.3 -5141198.73
-4248.48 -3427674.88 -432728.17 -2653014.30
-4248.48 -3427674.88 -1802254.94 -23672061.8
722553.43 12479445.04 12229092.71
722553.43 9334871.17 15311784.06
722553.43 6190296.69 16296044.31
722553.43 3045722.51 15278832.40
722553.43
-88171.80 12721557.04
-447272.05
-447272.05
-447272.05
-447272.05
-447272.05
-18651183.6 -13382832.3
-14012806.4 -3794292.60
-9374427.43 3674553.83
-4736049.34 8598040.01
-110806.04 11398682.40
722553.43
-88171.80 12721557.04
722553.43 4540707.45 13307672.27
722553.43 9179085.55 12145503.23
722553.43 13817463.94 9027815.25
722553.43 18455842.34 3938251.04
-447272.05
-447272.05
-447272.05
-447272.05
-447272.05
-110806.04 11398682.40
-3243426.46 6824386.90
-6388000.63 -405571.29
-9532575.12 -9739250.79
-12677149.6 -21180759.0
5780061.04 22020079.81
5780061.04 16097829.67
5780061.04 10175578.30
5780061.04 4253326.93
5780061.04 1083292.97
1568537.60
1568537.60
1568537.60
1568537.60
1568537.60
-14812357.9 -7832573.85
-10839394.5 -2889378.24
-6866430.37
70045.01
-2893466.29 1014469.30
-1685685.00 -296474.12
-1262929.23 21798793.72
-1262929.23 15946079.40
-1262929.23 10094103.61
-1262929.23 4242127.82
-1262929.23 1141765.80
-4947241.36
-4947241.36
-4947241.36
-4947241.36
3096631.47
5334490.17
5591113.59
3948249.36
551033.85
1374507.14
3972739.07
4608936.16
3344555.97
502621.76
-15037781.0 -10068576.0
-10993544.6 -4541490.06
-6949308.25 -998176.12
-2905071.58
559411.01
1524.00
133
133
134
134
135
135
136
136
137
137
138
138
139
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
381.00
762.00
1143.00
1524.00
COMB1 MIN
0.00
381.00
762.00
1143.00
1524.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
-7435.62
3716.84
-10614.79 -4947241.36 -1626316.48
-261824.24
4854.81
4854.81
4854.81
4854.81
4854.81
12366.67
17573.42
22780.17
27986.92
33193.67
15548.35
15548.35
15548.35
15548.35
15548.35
-10427.51
-10427.51
-10427.51
-10427.51
-10427.51
5249.36
10456.11
15662.86
20869.62
26076.36
-10427.73
-10427.73
-10427.73
-10427.73
-10427.73
7811.01
7811.01
7811.01
7811.01
7811.01
11464.26
16671.01
21877.77
27084.52
32291.27
15364.71
15364.71
15364.71
15364.71
15364.71
-7435.62
-7435.62
-7435.62
-7435.62
-7435.62
3716.84
8923.59
14130.34
19337.09
24543.85
-10614.79
-10614.79
-10614.79
-10614.79
-10614.79
-4947241.36
-4947241.36
-4947241.36
-4947241.36
-4947241.36
35739.48
35739.48
35739.48
35739.48
35739.48
-91101.78
-83067.96
-75034.13
-67000.32
-58966.50
2080.13
2080.13
2080.13
2080.13
2080.13
1379210.56
1379210.56
1379210.56
1379210.56
1379210.56
3306143.40
2490912.53
1675681.81
860451.16
51854.07
13185947.27
47341782.89
79343999.02
109508691.4
147419815.7
-44735.89
-44735.89
-44735.89
-44735.89
-44735.89
-155698.82
-147665.00
-139631.18
-131597.37
-123563.55
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-3144.95
-3144.95
-3144.95
-917474.62
-917474.62
-917474.62
-917474.62
-917474.62
-4881836.64
-3649292.55
-2416748.46
-1184204.37
42013.28
-85463855.
-26487560.4
24532194.82
72188829.35
116696899.4
18877.41
18877.41
18877.41
18877.41
18877.41
143117.05
151150.87
159184.69
167218.51
175252.33
2080.13
2080.13
2080.13
2080.13
2080.13
1379210.56
1379210.56
1379210.56
1379210.56
1379210.56
51854.07
1280883.74
2513427.90
3745971.99
4978516.08
147419815.7
102109504.4
65235614.01
28696181.03
-6934501.95
-63852.47
-63852.47
-63852.47
-63852.47
-63852.47
62796.52
70830.35
78864.17
86897.98
94931.80
-3144.95
-3144.95
-3144.95
-3144.95
-3144.95
65.89
65.89
65.89
65.89
65.89
-71019.58
-60606.08
-50192.58
-39779.08
-29365.58
3888.11
3888.11
3888.11
3888.11
3888.11
6945798.03
6945798.03
6945798.03
6945798.03
6945798.03
9694214.71
7719564.15
5744914.21
3773215.01
1806433.41
-42398572.
-8965040.59
19178431.09
42031844.18
59843150.56
-13994.16
-13994.16
-13994.16
-13994.16
-13994.16
-73995.77
-63582.26
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-6313.39
-6313.39
-6313.39
-6313.39
-6313.39
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-3051307.07
-15549664.7
-12347512.3
-9145360.45
-5950021.99
-2782345.59
-48861530.
-13916708.8
15738052.06
40102754.36
58945384.41
5780061.04 1083292.97
551033.85
5780061.04 5054703.09 -2948926.39
5780061.04 9026896.92 -7924709.47
5780061.04 12999091.96 -14884263.9
5780061.04 16971353.53 -23827591.6
1568537.60
1568537.60
1568537.60
1568537.60
1568537.60
-1685685.00 -296474.12
-7599777.50 -5592263.18
-13523699.4 -13274341.4
-19447620.7 -22942405.7
-25371542.0 -34597310.
-1262929.23 1141765.80
502621.76
-1262929.23 5184685.03 -2216772.61
-1262929.23 9227637.21 -6662641.91
-1262929.23 13271873.58 -13038189.1
-1262929.23 17316109.95 -21397507.9
-1626316.48 -261824.24
-7470986.97 -5595889.89
-13324943.4 -12932706.0
-19178899.1 -22260021.1
-25032854.9 -33571108.
-917474.62
42013.28 116696899.4
-917474.62 -770010.20 74852934.57
-917474.62 -1585240.92 15744111.33
-917474.62 -2400471.64 -46573904.
-917474.62 -3215702.36 -113150571
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
2745.97
2745.97
2745.97
2745.97
2745.97
-71699.46
-61285.96
-50872.46
-40458.96
-30045.46
4063.69
4063.69
4063.69
4063.69
4063.69
-11171.15
-11171.15
-11171.15
-11171.15
-11171.15
-74258.87
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-6119.20
-6119.20
-6119.20
-6119.20
-6119.20
-8510710.75
-8510710.75
-8510710.75
-8510710.75
-8510710.75
COMB1 MAX
0.00
508.00
1016.00
65.89
65.89
65.89
19625.42
30038.92
40452.42
3888.11
3888.11
3888.11
6945798.03
6945798.03
6945798.03
466172.18 10124948.86 -43862613.
466172.18 8062178.99 -10080209.4
466172.18 6000278.27 18412136.00
466172.18 3938377.55 41723927.92
466172.18 1882177.97 59938133.24
-15076359.7
-11972704.4
-8869467.82
-5774476.45
-2706277.38
-49163187.
-14084709.8
15703709.26
40124021.45
58755483.32
1806433.41 59843150.56
726195.47 48247407.84
3758562.97 31694774.09
139
140
140
141
141
142
142
143
143
144
144
145
145
146
146
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MAX
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MIN
0.00
508.00
1016.00
1524.00
2032.00
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
391.91
783.83
1175.74
1567.65
COMB1 MIN
0.00
391.91
783.83
1175.74
1567.65
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
COMB1 MAX
0.00
2590.00
5180.00
COMB1 MIN
0.00
2590.00
5180.00
65.89
65.89
50865.92
61279.42
3888.11
3888.11
6945798.03 6940953.43 10009304.50
6945798.03 10139120.86 -16964069.8
-13994.16
-13994.16
-13994.16
-13994.16
-13994.16
16649.23
27062.73
37476.23
47889.73
58303.23
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-6313.39
-6313.39
-6313.39
-6313.39
-3051307.07
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-4145825.44
-6117562.48
58945384.41
46692091.75
28883272.86
5722649.23
-22731357.1
2745.97
2745.97
2745.97
2745.97
2745.97
18945.54
29359.04
39772.54
50186.04
60599.54
4063.69
4063.69
4063.69
4063.69
4063.69
466172.18
466172.18
466172.18
466172.18
466172.18
1882177.97
707230.37
3644095.37
6727841.92
9826782.88
59938133.24
48594238.28
32193628.23
10639871.83
-16201798.1
-11171.15
-11171.15
-11171.15
-11171.15
-11171.15
16386.13
26799.63
37213.13
47626.63
58040.13
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-8510710.75
-8510710.75
-8510710.75
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-8510710.75
-2706277.38
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58755483.32
46893778.84
29526353.38
6750599.37
-21318159.3
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-2516.27
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-82081.99
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6790.26
6790.26
6790.26
6790.26
6790.26
-2610.88
-2610.88
-2610.88
-2610.88
-2610.88
-104008.18
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-1260999.92
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-1260999.92
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-6710126.50
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-3287186.80
-1576270.69
130144.05
-25127208.3
14055389.40
50081676.64
82956139.22
112682056.8
-2516.27
-2516.27
-2516.27
-2516.27
-2516.27
76985.30
85019.12
93052.94
101086.76
109120.57
6790.26
6790.26
6790.26
6790.26
6790.26
1852884.74
1852884.74
1852884.74
1852884.74
1852884.74
162339.01
1850016.17
3561308.26
5273214.21
6985119.84
114415376.5
90264711.91
63883768.31
34370390.63
1711918.95
-2610.88
-2610.88
-2610.88
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55059.10
63092.93
71126.75
79160.57
87194.38
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15780.92
15780.92
15780.92
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43514.81
43514.81
43514.81
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-273299.92
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-8219.14 -6180465.65 -14772585.4 -28190371.1
-8219.14 -6180465.65 6499572.20 -17110597.8
-8219.14 -6180465.65 11143408.20 -119413257
-195199.26
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-142106.81
3735.70
3735.70
3735.70
7640.38
7640.38
7640.38
660729.31 15071327.51 12084057.62
660729.31 -4613491.55 2409232.79
660729.31 -15801817.0 18357240.60
-215810.26
-189264.03
-162717.81
-6424.95
-6424.95
-6424.95
4193.97
4193.97
4193.97
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-974431.14 -5086901.91 1693046.84
-974431.14 -24505860.6 -7266843.87
-200028.69
-173482.47
-146936.24
8696.89
8696.89
8696.89
6882.14
6882.14
6882.14
648612.78 13072183.53 20941668.09
648612.78 -4607708.55 -1568813.86
648612.78 -14620752.3 1742547.61
-221454.53
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3662.57
3662.57
3662.57
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-987382.71 -22577297.4 -24108217.2
1852884.74 10795904.38 10269937.74
1852884.74 8134717.37 40868464.36
1852884.74 5473530.36 68327335.21
1852884.74 2812343.04 92637648.32
1852884.74
162339.01 114415376.5
130144.05 112682056.8
-2510030.98 81796810.30
-5171217.68 46944042.97
-7832404.69 8931707.76
-10493591.7 -32240701.
4202910.10 6005026.25 60760058.59
4202910.10 6948373.39 20229947.51
4202910.10 24570592.04 88777175.29
-6884.02 -6159952.76 -11091409.3 -70346851.
-6884.02 -6159952.76 6707559.60 7831507.57
-6884.02 -6159952.76 7843731.69 -20985112.3
4183765.92 2570236.82 106187099.6
4183765.92 6856944.65 -6295886.23
4183765.92 27802537.84 -3279399.41
S H E L L
SHELL
68
68
E L E M E N T
LOAD JOINT
COMB1 MAX
39
47
38
COMB1 MIN
39
47
38
R E S U L T A N T S
F11
F22
M12
V13
V23
0.00
0.00
0.00
0.00
0.00
0.00
0.00 -4137.63
0.00 -2222.20
0.00 152752.74
F12
M11
7985.64
2228.93
-5103.80 -10573.69
55896.48
1262.95
M22
99.59
99.59
99.59
25.44
25.44
25.44
0.00
0.00
0.00
0.00
0.00
0.00
0.00 -10067.87
0.00 -13598.19
0.00 67371.22
2789.07
-830.10
-6917.51 -11592.29
30639.41 -2872.55
50.29
50.29
50.29
14.32
14.32
14.32
LINE ELEMENT FLOWCHART
START
Be , He , Ase , Asse , Tk , Vk , m0
γ f , γ s , γ c , c, f y
V
I , Al , u, e’, Ac , fcd , fyd , τtd , τtu , τwd , τwu , z, Ass ,
Calculate:
AssT , Ass total ( AssV + AssT )
τtu > 3.92 MPa
τ wu > 4.41 MPa
No
Show:
Be , He , Ase , Asse
Yes
τtd τ wd
+
≤1
τtu τwu
END
No
Yes
B
A
A
B
Ase = Ase + 1
Yes
Ase < 0.0015 Be H e
No
Ase > 0.04 Be H e
Yes
Ase = Ase − 1
No
No
Asse <
0.0007 Be H e
Be + H e − 4c
Show:
Be , He , Ase , Asse
Yes
Yes
Asse = Asse + 1
Asse ≥ Ass total
No
END
Be =Be −1
He =He −1
FOOTING FLOWCHART
START
lx , ly , h, Asx , Asy , β1, β2 , Mmax,
cp, Gs, υs ,
ρ, Ω, looping = 0
d = β 1 γ f M m ax
h = d + cp
h < hl
hl ≤ h
No
Yes
No
Yes
h = hl
Show:
Asx = Asy = β2
γ f M max
h, Asx , Asy , lx , ly
d
0.0015 h ≤ ( Asx , Asy ) ≤ 0.04 h
END
Yes
B
C
A
A
B
η = 1.5046
β x = 0.02105
β y = 0.02105
ηxy = 1 +
r0 = 2
2 l y GS
1 − vs
lx
+ 0.98947
ly
ly
+ 0.98947
0.55 ( 2 − vs ) h
lx
4lx l y
π
lx l y ( lx2 + l y2 )
6π
16 GS r03
KT =
3
K X = 4 (1 + vs ) GS β x ηxy lx l y
4
Yes
Ω
2 Ω
≤ 3.92||twu>4.41)lanjut=false;else lanjut=true;
if(!lanjut)break;
if((ttd/ttu+twd/twu-1)Text.ToDouble();
B2=Design->beta2->Text.ToDouble();
gf=Design->gf->Text.ToDouble();
cp=Design->cp->Text.ToDouble();
hl=Design->hl->Text.ToDouble()*1000;
vs=Design->poi