Laporan Analisis Riwayat Waktu Struktur Beton Lanjut
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UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023 1 I. Pemodelan&DesainStruktur (ETABS) Lampiran 1 Pengecekan Pelat dan Estimasi Ukuran Balok Induk,Balok Anak,dan Kolom Data : Data Struktur Bangunan : Fungsi Bangunan : Faktor Beban : Beban spesi Beban keramik Beban plafond dan penggantung Beban waterproof Beban ME Perhitungan Dimensi Balok Induk Dimensi = Perhitungan Dimensi Balok Anak Dimensi = Perhitungan Rasio Kekakuan Balok Cek tebal pelat : asumsi α fm = 2.0 tanpa tulangan! L 8m := L 2 2.667m := n lantai 6 := h pelat 12cm := f c' 30MPa := f y1 400MPa := H 1 4.2m := H 3 3.6m := H 5 3.6m := H 2 3.6m := H 4 3.6m := H 6 3.6m := H total H 1 H 2 + H 3 + H 4 + H 5 + H 6 + 22.2m = := Perkantoran LL 2.5 kN m 2 := γ beton 23.5 kN m 3 := L s 0.21 kN m 2 := L k 0.236 kN m 2 := L p 0.18 kN m 2 := L w 0.07 kN m 2 := L me 0.2 kN m 2 := L me 0.2 kN m 2 := h bi 1 14 L ⋅ := h bi 571.429mm ⋅ = b bi 1 2 h bi ⋅ := b bi 285.714mm ⋅ = h bi 600mm := b bi 300mm := h ba 1 16 L ⋅ := h ba 500 mm ⋅ = h ba 550mm := b ba 300mm := b ba 1 2 h ba ⋅ := b ba 275 mm ⋅ = f y 0 :=
Transcript of Laporan Analisis Riwayat Waktu Struktur Beton Lanjut
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I. Pemodelan&DesainStruktur (ETABS)
Lampiran 1 Pengecekan Pelat dan Estimasi Ukuran Balok Induk,Balok Anak,dan Kolom
Data :
Data Struktur Bangunan :
Fungsi Bangunan :
Faktor Beban :
Beban spesi
Beban keramik
Beban plafond dan penggantung
Beban waterproof
Beban ME
Perhitungan Dimensi Balok Induk
Dimensi =
Perhitungan Dimensi Balok Anak
Dimensi =
Perhitungan Rasio Kekakuan Balok
Cek tebal pelat : asumsi α fm = 2.0 tanpa tulangan!
L 8m:= L2 2.667m:= nlantai 6:= hpelat 12cm:= fc' 30MPa:= fy1 400MPa:=
H1 4.2m:= H3 3.6m:= H5 3.6m:=
H2 3.6m:= H4 3.6m:= H6 3.6m:= Htotal H1 H2+ H3+ H4+ H5+ H6+ 22.2m=:=
Perkantoran
LL 2.5kN
m2:=
γ beton 23.5kN
m3:=Ls 0.21
kN
m2:=
Lk 0.236kN
m2:=
Lp 0.18kN
m2:=
Lw 0.07kN
m2:=
Lme 0.2kN
m2:=
Lme 0.2kN
m2:=
hbi114L⋅:= hbi 571.429mm⋅=
bbi12hbi⋅:= bbi 285.714mm⋅= hbi 600mm:= bbi 300mm:=
hba116L⋅:= hba 500mm⋅=
hba 550mm:= bba 300mm:=bba12hba⋅:= bba 275mm⋅=
fy 0:=
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tebal pelat tidak mencukupi, maka dibutuhkan balok anak
Balok Induk :
Menentukan b efektif
Jarak titik berat penampang balok
βL bbi−
L bbi−:= β 1=
hL bbi−( ) 0.8
fy1500
⎛⎜⎝
⎞⎟⎠
+⎡⎢⎣
⎤⎥⎦
⋅
36 9 β⋅+:= h 136.889mm⋅=
hw1 hbi hpelat− 480mm⋅=:=
be1 bbi hw1+ 780mm⋅=:=
be2 bbi 4 hpelat⋅+ 780mm⋅=:=
be 780mm:=
ybe hpelat⋅ hw1
hpelat2
+⎛⎜⎝
⎞⎟⎠
⋅ bbi hw1⋅hw12
⎛⎜⎝
⎞⎟⎠
⋅+
be hpelat⋅ bbi hw1⋅+:= y 358.182mm⋅=
Ib112bbi⋅ hw1
3⋅ bbi hw1⋅ y
hw12
−⎛⎜⎝
⎞⎟⎠
2
⋅+112be⋅ hpelat
3⋅+ be hpelat⋅ hw1
hpelat2
+ y−⎛⎜⎝
⎞⎟⎠
2
⋅+:=
Ib 7.983 109× mm4⋅=
Is112L2⋅ hpelat
3⋅:= Is 3.84 108× mm4⋅=
αfm1IbIs
20.785=:=
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Balok Anak :
Menentukan b efektif
Jarak titik berat penampang balok
Rasio Kekakuan Balok :
Cek Pelat
tebal pelat 120 mm mencukupi.
hw2 hba hpelat− 430mm⋅=:=
be1 bba hw2+ 705mm⋅=:=
be2 bba 4 hpelat⋅+ 755mm⋅=:=
be 580mm:=
y2be hpelat⋅ hw2
hpelat2
+⎛⎜⎝
⎞⎟⎠
⋅ bba hw2⋅hw22
⎛⎜⎝
⎞⎟⎠
⋅+
be hpelat⋅ bba hw2⋅+:= y2 316.89mm⋅=
Ib2112bbi⋅ hw2
3⋅ bbi hw2⋅ y2
hw22
−⎛⎜⎝
⎞⎟⎠
2
⋅+112be⋅ hpelat
3⋅+ be hpelat⋅ hw2
hpelat2
+ y2−⎛⎜⎝
⎞⎟⎠
2
⋅+:=
Ib2 5.496 109× mm4⋅=
Is112L2⋅ hpelat
3⋅:= Is 3.84 108× mm4⋅=
αfm2Ib2Is
14.311=:=
αfmαfm1 αfm2+
2:= αfm 17.548= αfm 2>
hmin
L212bbi⋅−
12bba⋅−⎛⎜
⎝⎞⎟⎠0.8
fy1500
⎛⎜⎝
⎞⎟⎠
+⎡⎢⎣
⎤⎥⎦
⋅
36 9 β⋅+:= hmin 42.302mm⋅=
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Perhitungan Pembebanan Lantai 1 - 6
Dead Load
Beban spesi :
Beban keramik :
Beban Plafond dan Penggantung
Beban ME :
Beban Balok Induk :
Beban Balok Anak :
Beban Pelat :
Total Dead Load
Live Load
Beban Ultimate
Menentukan Dimensi Kolom
dimensi kolom 600 x 600
DL1 Ls L⋅ L⋅:= DL1 13.44kN⋅=
DL2 Lk L⋅ L⋅:= DL2 15.104kN⋅=
DL3 Lp L⋅ L⋅:= DL3 11.52kN⋅=
DL4 LmeL⋅ L⋅:= DL4 12.8 kN⋅=
DL5 γ beton bbi⋅ hbi⋅ L L+( )⋅:= DL5 67.68kN⋅=
DL6 γ beton bba⋅ hba⋅ L L+( )⋅:= DL6 56.87kN⋅=
DL7 γ beton L⋅ L⋅ hpelat⋅:= DL7 180.48kN⋅=
DL DL1 DL2+ DL3+ DL4+ DL5+ DL6+ DL7+:= DL 357.894kN⋅=
LL LLL2⋅ 160 kN⋅=:=
Pu 1.2DL⋅ 1.6LL+:=
Pu 685.473kN⋅=
ρt 0.01:=
AgPu nlantai⋅
0.4 fc' fy ρt⋅+( )⋅:= Ag 3.427 105× mm2⋅=
c Ag:= c 585.437mm⋅=
c 600mm:=
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Lampiran 2 Perhitungan Input ETABS
Langkah 1 : Pembuatan pemodelan (balok induk,balok anak,kolom,pelat)
Balok Induk GL 30/60
Set Modifers :
Momen 2 axis 3 axis = 0.35
(stiffness modifiers)
torsional constant = 0.1
Balok Anak GT 30/55
Set Modifers :
Momen 2 axis 3 axis = 0.35
torsional constant = 0.1
Kolom CR 60/60
Set Modifers : Momen 2 axis 3 axis = 0.7
Pelat (Slab 1;membrane thickness = 120mm)
Perletakan(Base Level) : Jepit
Input beban sesuai lampiran 1 pada slab .
be 300mm 8 120⋅ mm+ 1.26m=:=
mass300 500⋅
2652000.566=:=
weight mass 0.566=:=
be 350mm 16 120⋅ mm+ 2.27m=:=
crosssectionarea 355400mm2:=
mass250mm500⋅ mmcrosssectionarea
0.352=:=
weight mass 0.352=:=
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Input Nilai Sds,Sd1, faktor R,faktor Ie
Unit : kN.m Gedung Perkantoran, lokasi di Bandung :
Tentukan kategori risiko berdasarkan fungsi gedung.
Lihat Tabel 1 SNI 1726 Kategori Risiko : IV
Lihat Tabel 2 SNI 1726 Faktor Keutamaan Gempa
Berdasarkan perhitungan data tanah, Tabel 3 SNI 1726, termasuk jenis tanah Lunak
Berdasarkan Tabel 5 dan Tabel 6 SNI 1726, diperoleh koefisien situs :
maka percepatan spektra desain adalah :
Spektrum Respons Desain
HASIL ETABS COCOK dengan perhitungan manual :
Ss 1.5:= S1 0.47:=
Ie 1.0:= R 8:=
Fa 0.9:= Fv 2.4:=
SMS Fa Ss⋅ 1.35=:= SM1 Fv S1⋅ 1.128=:=
SD123SM1⋅ 0.752=:= SDS
23SMS⋅ 0.9=:=
TsSD1SDS
0.836=:= T0 0.2 Ts⋅ 0.167=:=
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Langkah 2 : RUN 1
Stiffness modifiers,massa,berat total,periode getar
Kategori Desain Seismik
Lihat Tabel 6 dan Tabel 7 SNI 1726 : Berdasarkan Kategori Risiko dan nilai Spektrum Respons Desain, maka Kategori Desain Seismik struktur ini adalah D.
Lihat Tabel 9 SNI 1726, berdasarkan sistem struktur yang dipilih dan Kategori Desain Seismik, struktur didesain sebagai Special Moment Resisting Concrete Frame, dengan.:
Massa Lantai
Kesimpulan :
'
a
R 8:= Ωo 3:= CD 5.5:= fsIeR10⋅ 1.25=:=
m1 481.65:= m2 477.5075:= m3 375.36:= m4 477.50:= m5 477.50:=
n 6:= m6 429.28:=
Wt1
n
i
mi 9.8⋅( )∑=
2.664 104×=:= kN1
n
i
mi∑=
2.719 103×= ton
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Story Data
Denah Lt 1
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Denah Lt 3 (Void)
Tampak Elevasi 2 (untuk Drain 2D)
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Tampak 3D
Material Properties
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Slab
Frame Section
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Load Combination
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Mass Sources
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Input Load
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Mode shape 1
Mode shape 2
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Mode shape 3
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Frame yang ditinjau : (Frame el.2)
Frame ini akan digunakan untuk analisis riwayat waktu dengan program drain 2D
Pada lantai 3 terdapat void (tidak ada balok internal)
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Envelope Gaya Aksial Frame 2
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Envelope Momen33 frame 2
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Envelope Shear22 frame 2
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Longitudinal Reinforcing
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Rebar Percentage
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Column P-M-M Ratio
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Beam/Column Capacity Ratio
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II. Time History Analysis(Drain 2D) 1. Node Numbering
Urutdariujungkiribawahkekanan no 1-28 (Peninjauan Frame 2 denganelemenbalokpadalantai 3-B-C dihilangkanakibat opening). Koordinat (x;y) 1 0.0 0.0 2 8.0 0.0 3 16.0 0.0 4 24.0 0.0 5 0.0 4.2 6 8.0 4.2 7 16.0 4.2 8 24.0 4.2 9 0.0 7.8 10 8.0 7.8 11 16.0 7.8 12 24.0 7.8 25 0.0 22.2 26 8.0 22.2 27 16.0 22.2 28 24.0 22.2 Generate : 9 25 4 4 10 26 4 4 11 27 4 4 12 28 4 4
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2. MendefinisikanPeralihanarah x yang seragam (per lantai) 1 4 5 6 7 8 1 4 9 10 11 12 1 4 13 14 15 16 1 4 17 18 19 20 1 4 21 22 23 24 1 4 25 26 27 28
3. Massa Lantai
5 481.6587 0.0 0.0 8 1 9.8 9 477.5076 0.0 0.0 12 1 13 375.3647 0.0 0.0 16 1 17 477.5076 0.0 0.0 20 1 21 477.5076 0.0 0.0 24 1 25 429.2863 0.0 0.0 28 1
4. Time History Setting Analisis 14 detik , Bi Linier factor = 0.01. Gempa El Centro pembacaan max = 3410 ; g =9.8 Bandung Tanah Lunak, Ss = 1.5 à Scale = (1.5 x 9.8) / 3410 = 0.0043085 UntukSkala 2/3 = 0.0043 x 2/3 = 0.0028739 UntukSkala 3/2 = 0.0043 x 3/2 = 0.0064662
1 12 1400 0.01 0.0028739 1 0 00
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5. Joint Load
Hasil Gaya Aksialuntuk Drain 2D (1,2DL +0,5 LL) 5 0 -317.11 0 8 3 6 0 -651.62 0 7 1 9 0 -311.12 0 12 3 10 0 -642.62 0 11 1 13 0 -319.81 0 16 3 14 0 -511.01 0 15 1 17 0 -312.86 0 20 3 18 0 -640.04 0 19 1 21 0 -313.09 0 24 3 22 0 -636.37 0 23 1 25 0 -292.39 0 28 3 26 0 -591.61 0 27 1
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6. Input Data Gempa El Centro
Data = 702
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Mbalance = 890 kNm ;Pyc = 7300 kN ; Pyt = 2100 kN ; M(p=0) = 590 kNm ;P(M=0) = 2000kN
890/590= 1.50
2000/7300=0.27
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Balok 30/60 à d=540mm ,Jd = 0.9 x 540 = 486 mm
As-= 1843 à 7D19 Mpr- = 1984.5 x 1.25 x 400 x 486 = -482.233 kNm
As+ = 720 à4D19 (min ½ M- ) Mpr+ = 1134 x 1.25 x 400 x 486 = 275.562kNm
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III. ObservasiResponsRiwayatWaktu
1. Deformasi Lateral
Bandung Tanah Lunak -‐ El Centro -‐ Skala 0.67 Lt. UX Max (cm) t (s) UX Min (cm) t (s) 0 0 0 0 0 1 4.1 3.19 -‐8.9 4.9 2 8.6 3.18 -‐15.6 4.92 3 13 3.2 -‐21.1 4.97 4 16.1 3.22 -‐26 5 5 17.6 3.22 -‐29.3 5.01 6 17.9 3.24 -‐31.4 5.02
Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.00 Lt. UX Max (cm) t (s) UX Min (cm) t (s) 0 0 0 0 0 1 4.1 11.69 -‐20.8 4.93 2 8.6 11.7 -‐36.8 4.95 3 16.4 11.71 -‐46.3 4.99 4 24.1 11.73 -‐52.5 5.01 5 28.9 11.73 -‐55.7 5.02 6 32.7 11.74 -‐57.6 5.02
Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.50 Lt. UX Max (cm) t (s) UX Min (cm) t (s) 0 0 0 0 0 1 21.7 12.32 -‐33.5 2.48 2 49.7 11.76 -‐60.2 2.53 3 54 11.78 -‐73.2 2.57 4 52.9 11.79 -‐81.6 2.59 5 52.7 11.8 -‐85.4 2.59 6 51.9 11.81 -‐87.6 2.6
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2. Drift Antar Lantai
Bandung Tanah Lunak -‐ El Centro -‐ Skala 0.67 Drift AntarLantai Positive Envelope Negative Envelope
Storey-‐Drift (cm) Storey-‐Drift (cm) 1 Base 4.11 -‐8.92 2 1 4.45 -‐6.75 3 2 4.34 -‐6.13 4 3 3.26 -‐5.09 5 4 1.98 -‐3.93 6 5 3.09 -‐1.02
Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.00 Drift
AntarLantai Positive Envelope Negative Envelope
Storey-‐Drift (cm) Storey-‐Drift (cm) 1 Base 4.06 -‐20.48 2 1 4.5 -‐16.28 3 2 7.81 -‐9.93 4 3 8.36 -‐6.65 5 4 5.64 -‐4.29 6 5 2.93 -‐4.33
0
1
2
3
4
5
6
7
-‐100 -‐80 -‐60 -‐40 -‐20 0 20 40 60 80
Tingkat
Peralihan Lateral Maximum (cm)
Deformasi Lateral Bandung Tanah Lunak -‐ Gempa El Centro
Bandung 0.67 El Centro Max Enve
Bandung 0.67 El Centro Min Enve
Bandung 1.00 El Centro Max Enve
Bandung 1.00 El Centro Min Enve
Bandung 1.50 El Centro Max Enve
Bandung 1.50 El Centro Min Enve
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Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.50 Drift
AntarLantai Positive Envelope Negative Envelope
Storey-‐Drift (cm) Storey-‐Drift (cm) 1 Base 21.65 -‐33.31 2 1 32.26 -‐37.77 3 2 7.11 -‐13.79 4 3 1.14 -‐8.55 5 4 0.62 -‐4.15 6 5 2.51 -‐0.29
0
1
2
3
4
5
6
7
-‐60 -‐40 -‐20 0 20 40
Tingkat
SImpangan Antar Tingkat (cm)
DriD Antar Lantai Bandung Tanah Lunak -‐ Gempa El Centro
Bandung 0.67 El Centro Max Enve
Bandung 0.67 El Centro Min Enve
Bandung 1.00 El Centro Max Enve
Bandung 1.00 El Centro Min Enve
Bandung 1.50 El Centro Max Enve
Bandung 1.50 El Centro Min Enve
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3. Letak-Letak Sendi Plastis
-‐1.00 -‐0.90 -‐0.80 -‐0.70 -‐0.60 -‐0.50 -‐0.40 -‐0.30 -‐0.20 -‐0.10 0.00 0.10 0.20 0.30 0.40 0.50 0.60
0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00
Top Displacemen
t (m)
t (s)
Riwayat Peralihan Lantai Paling Atas Gempa El Centro -‐ Bandung Tanah Lunak
Scale 0.67
Scale 1.0
Scale 1.5
1 3
22
4
28
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4. Besarnya Rotasi Sendi Plastis (PL Hinge Rotation)
Analisa Lokasi Sendi Plastis Dan Batasan Rotasi
: Sendi Plastis Skala 0.67 Bandung Tanah Lunak -‐ El Centro -‐ Skala 0.67
ELEM NODE BENDING SHEAR FORCE
PL HINGE ROTATION
ACCUM ROTATIONS NO. NO. MOMENT TIME TIME TIME
1
5 POSITIVE 531.68 4 0.91 221.16 4 0.91 .02132 4 0.910 0.086
NEGATIVE -‐302.02 3.18 -‐6.98 3.18 -‐0.011 3.180 -‐0.085 6 POSITIVE 322.89 4.91 215.17 3.18 0.019 4.910 0.073
NEGATIVE -‐508.83 3.18 -‐12.97 4.91 -‐0.011 3.180 -‐0.073 2
6 POSITIVE 527.69 4.91 220.17 4.91 0.019 4.910 0.073
NEGATIVE -‐301.87 3.18 -‐7.09 3.18 -‐0.010 3.180 -‐0.073 7 POSITIVE 319.66 4.91 215.28 3.18 0.018 4.910 0.072
NEGATIVE -‐509.75 3.18 -‐11.98 4.91 -‐0.012 3.180 -‐0.074 3
7 POSITIVE 528.52 4.91 220.81 4.91 0.018 4.910 0.073
NEGATIVE -‐302.86 3.18 -‐7.25 3.18 -‐0.011 3.180 -‐0.073 8 POSITIVE 323.51 4.91 215.45 3.18 0.021 4.910 0.085
NEGATIVE -‐509.99 3.18 -‐12.62 4.91 -‐0.012 3.180 -‐0.085 4
9 POSITIVE 523.63 4.98 218.98 4.98 0.018 4.980 0.086
NEGATIVE -‐304.21 3.17 -‐7.61 3.17 -‐0.01169 3.17 -‐0.08391 10 POSITIVE 315.03 4.98 215.8 3.17 0.01552 4.98 0.07638
NEGATIVE -‐511.24 3.17 -‐10.79 4.98 -‐0.01215 3.17 -‐0.07462 5
10 POSITIVE 520.42 4.98 218.24 4.98 0.01616 4.98 0.07784
NEGATIVE -‐304.46 3.17 -‐7.74 3.17 -‐0.01161 3.17 -‐0.0755 11 POSITIVE 312.85 4.98 215.94 3.17 0.01505 4.98 0.0768
NEGATIVE -‐511.97 3.17 -‐10.05 4.98 -‐0.01264 3.17 -‐0.0756 6
11 POSITIVE 521.33 4.98 218.77 4.98 0.0157 4.98 0.07665
NEGATIVE -‐304.91 3.17 -‐7.83 3.17 -‐0.01189 3.17 -‐0.07473 12 POSITIVE 315.8 4.98 216.03 3.17 0.01711 4.98 0.08511
NEGATIVE -‐512.17 3.17 -‐10.58 4.98 -‐0.01263 3.17 -‐0.08387 7
13 POSITIVE 521.66 5.01 218.66 5.01 0.01646 5.01 0.08373
NEGATIVE -‐299.12 3.24 -‐6.26 3.24 -‐0.00946 3.24 -‐0.08179 14 POSITIVE 314.63 5.01 214.45 3.24 0.016 5.01 0.08655
NEGATIVE -‐506.47 3.24 -‐10.46 5.01 -‐0.0103 3.24 -‐0.08579 8
15 POSITIVE 519.32 5.01 218 5.01 0.01552 5.01 0.08605
NEGATIVE -‐301.3 3.24 -‐6.81 3.24 -‐0.01052 3.24 -‐0.08578 16 POSITIVE 312.21 5.01 215 3.24 0.01497 5.01 0.08234
NEGATIVE -‐508.28 3.24 -‐9.81 5.01 -‐0.0109 3.24 -‐0.08189 9
17 POSITIVE 511.59 5.04 203.85 5.04 0.01243 5.04 0.05384
NEGATIVE -‐289.61 3.28 -‐15.56 3.28 -‐0.00579 3.28 -‐0.05152 18 POSITIVE 304.24 5.04 199.76 3.28 0.01158 5.04 0.04752
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NEGATIVE -‐496.31 3.28 -‐19.66 5.04 -‐0.00584 3.28 -‐0.04554
10
18 POSITIVE 510.35 5.04 203.56 5.04 0.01178 5.04 0.04919
NEGATIVE -‐290.04 3.27 -‐15.72 3.27 -‐0.00585 3.27 -‐0.04702 19 POSITIVE 303.32 5.04 199.92 3.27 0.01133 5.04 0.04876
NEGATIVE -‐497.05 3.27 -‐19.37 5.04 -‐0.00627 3.27 -‐0.04705 11
19 POSITIVE 509.7 5.04 203.44 5.04 0.01134 5.04 0.04732
NEGATIVE -‐290.81 3.28 -‐15.98 3.28 -‐0.00604 3.28 -‐0.04557 20 POSITIVE 303.07 5.04 200.17 3.28 0.0114 5.04 0.05284
NEGATIVE -‐498.11 3.28 -‐19.24 5.04 -‐0.00683 3.28 -‐0.05154 12
21 POSITIVE 504.39 5.1 201.91 5.1 0.00936 5.1 0.02848
NEGATIVE -‐279.08 3.32 -‐12.71 3.32 -‐0.00135 3.32 -‐0.02575 22 POSITIVE 297.26 5.1 196.9 3.32 0.00878 5.1 0.02637
NEGATIVE -‐485.99 3.32 -‐17.72 5.1 -‐0.00166 3.32 -‐0.02382 13
22 POSITIVE 503.27 5.1 201.61 5.1 0.00886 5.1 0.02712
NEGATIVE -‐280.06 3.31 -‐13 3.31 -‐0.00169 3.31 -‐0.02463 23 POSITIVE 296.21 5.1 197.19 3.31 0.008 5.1 0.02665
NEGATIVE -‐487.13 3.31 -‐17.42 5.1 -‐0.00219 3.31 -‐0.02465 14
23 POSITIVE 502.33 5.1 201.38 5.1 0.00841 5.1 0.02601
NEGATIVE -‐280.94 3.32 -‐13.25 3.32 -‐0.00203 3.32 -‐0.02383 24 POSITIVE 295.41 5.1 197.44 3.32 0.00811 5.1 0.02723
NEGATIVE -‐488.06 3.32 -‐17.18 5.1 -‐0.0026 3.32 -‐0.02574 15
25 POSITIVE 498.53 5.11 200.26 5.11 0.00705 5.11 0.01398
NEGATIVE -‐275.71 2.2 -‐11.71 2.2 -‐0.00018 2.2 -‐0.01119 26 POSITIVE 291.1 5.11 195.9 2.2 0.00611 5.11 0.00904
NEGATIVE -‐482.09 2.2 -‐16.07 5.11 0 0 -‐0.00723 16
26 POSITIVE 496.69 5.11 199.81 5.11 0.00614 5.11 0.00928
NEGATIVE -‐275.28 2.2 -‐11.69 2.2 0 0 -‐0.00732 27 POSITIVE 289.64 5.11 195.88 2.2 0.00566 5.11 0.00882
NEGATIVE -‐482.33 2.2 -‐15.62 5.11 -‐0.0002 2.2 -‐0.00734 17
27 POSITIVE 496.42 5.11 199.84 5.11 0.00573 5.11 0.00867
NEGATIVE -‐276.77 2.2 -‐12.14 2.2 -‐0.0002 2.2 -‐0.00724 28 POSITIVE 290.08 5.11 196.33 2.2 0.00614 5.11 0.01307
NEGATIVE -‐484.16 2.2 -‐15.64 5.11 -‐0.0011 2.2 -‐0.01119 18 1 POSITIVE 1352.08 11.6 404.18 11.53 0.00645 3.19 0.05063
NEGATIVE -‐1277.8 2.16 -‐602.89 2.16 -‐0.01896 4.9 -‐0.05122
5 POSITIVE 574.68 12.27 602.89 2.16 0 0 0
NEGATIVE -‐1268.57 2.15 -‐404.18 11.53 -‐0.00021 2.17 -‐0.00021 19 5 POSITIVE 740.21 2.16 264.04 5.62 0 0 0
NEGATIVE -‐964.29 12.07 -‐380.17 1.7 0 0 0
9 POSITIVE 823.11 10.86 380.17 1.7 0 0 0
NEGATIVE -‐1320.6 2.21 -‐264.04 5.62 -‐0.00098 4.44 -‐0.00098 20 9 POSITIVE 857.33 2.1 293.08 2.09 0 0 0
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
41
NEGATIVE -‐973.73 5.98 -‐409.14 12.06 0 0 0
13 POSITIVE 739.95 3.14 409.14 12.06 0 0 0
NEGATIVE -‐1220.58 4.5 -‐293.08 2.09 0 0 0 21 13 POSITIVE 646.32 4.5 257.2 2.12 0 0 0
NEGATIVE -‐683.29 3.58 -‐366.09 2.34 0 0 0
17 POSITIVE 957.69 3.11 366.09 2.34 0 0 0
NEGATIVE -‐1179.5 1.76 -‐257.2 2.12 0 0 0 22 17 POSITIVE 613.7 1.76 206.17 2.17 0 0 0
NEGATIVE -‐680.24 9.12 -‐247.96 4.65 0 0 0
21 POSITIVE 844.55 5.71 247.96 4.65 0 0 0
NEGATIVE -‐947.27 5.03 -‐206.17 2.17 0 0 0 23 21 POSITIVE 353.67 5.02 123.16 4.8 0 0 0
NEGATIVE -‐603.63 11.94 -‐221.58 4.7 0 0 0
25 POSITIVE 307.73 9.64 221.58 4.7 0 0 0
NEGATIVE -‐645.59 1.82 -‐123.16 4.8 0 0 0 24 2 POSITIVE 674.01 8.66 313.75 9.5 0.00834 3.19 0.07065
NEGATIVE -‐752.19 4.9 -‐341.49 4.89 -‐0.02044 4.9 -‐0.07178
6 POSITIVE 648.33 10.49 341.49 4.89 0 0 0.00181
NEGATIVE -‐701.29 1.64 -‐313.75 9.5 -‐0.002 2.17 -‐0.00279 25 6 POSITIVE 832.25 2.07 393.73 5.34 0.00127 2.07 0.00134
NEGATIVE -‐894.05 12.07 -‐443.4 2.25 -‐0.00232 12.07 -‐0.00365
10 POSITIVE 844.37 10.85 443.4 2.25 0.00001 10.86 0.00862
NEGATIVE -‐902.54 4.45 -‐393.73 5.34 -‐0.00414 2.23 -‐0.00872 26 10 POSITIVE 1022.99 2.1 374.51 2.09 0 0 0
NEGATIVE -‐1032.77 2.37 -‐447.22 2.54 0 0 0
14 POSITIVE 992.85 5.62 447.22 2.54 0 0 0
NEGATIVE -‐1096.87 4.5 -‐374.51 2.09 -‐0.00057 4.5 -‐0.00057 27 14 POSITIVE 814.84 4.47 371.93 2.12 0 0 0
NEGATIVE -‐688.23 9.5 -‐281.48 12.11 0 0 0
18 POSITIVE 1212.29 3.11 281.48 12.11 0 0 0
NEGATIVE -‐1217.59 5 -‐371.93 2.12 -‐0.00006 5 -‐0.00006 28 18 POSITIVE 718.19 4.79 333.98 2.16 0 0 0
NEGATIVE -‐830.55 9.14 -‐335.36 4.65 0 0 0
22 POSITIVE 1088.25 5.7 335.36 4.65 0 0 0
NEGATIVE -‐1137.79 5.03 -‐333.98 2.16 0 0 0 29 22 POSITIVE 586.56 4.8 364.93 2.21 0 0 0
NEGATIVE -‐579.21 9.54 -‐354.01 4.69 0 0 0
26 POSITIVE 871.08 2.18 354.01 4.69 0 0 0
NEGATIVE -‐957.94 1.83 -‐364.93 2.21 0 0 0 30 3 POSITIVE 700.05 3.19 314.31 6.72 0.00851 3.19 0.07139
NEGATIVE -‐740.34 4.88 -‐342.63 4.88 -‐0.02005 4.9 -‐0.0718
7 POSITIVE 657.74 6.69 342.63 4.88 0 0 0.00133
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
42
NEGATIVE -‐699.02 4.87 -‐314.31 6.72 -‐0.00274 4.89 -‐0.00327 31 7 POSITIVE 886.09 2.06 406.19 5.34 0.00096 2.07 0.00096
NEGATIVE -‐847.82 12.06 -‐436.38 2.25 -‐0.00333 12.07 -‐0.0043
11 POSITIVE 879.88 3.02 436.38 2.25 0.00001 10.86 0.0085
NEGATIVE -‐870.65 2.15 -‐406.19 5.34 -‐0.00408 2.23 -‐0.00873 32 11 POSITIVE 940.86 2.1 355.01 11.72 0 0 0
NEGATIVE -‐1040.93 2.55 -‐472.5 2.54 -‐0.00011 2.37 -‐0.00011
15 POSITIVE 1022.18 5.62 472.5 2.54 0 0 0
NEGATIVE -‐1051.05 4.5 -‐355.01 11.72 -‐0.0014 4.5 -‐0.0014 33 15 POSITIVE 525.89 4.44 307.84 2.12 0 0 0
NEGATIVE -‐1009.49 9.5 -‐370.15 12.11 0 0 0
19 POSITIVE 1183.09 3.11 370.15 12.11 0 0 0
NEGATIVE -‐1231.01 1.76 -‐307.84 2.12 -‐0.00035 5 -‐0.00035 34 19 POSITIVE 744.5 4.79 344.7 2.16 0 0 0
NEGATIVE -‐810.29 9.14 -‐326.11 4.65 0 0 0
23 POSITIVE 1092.88 5.7 326.11 4.65 0 0 0
NEGATIVE -‐1133.53 5.03 -‐344.7 2.16 0 0 0 35 23 POSITIVE 581.55 4.8 363.84 2.21 0 0 0
NEGATIVE -‐582.66 9.54 -‐354.88 4.69 0 0 0
27 POSITIVE 892.51 2.17 354.88 4.69 0 0 0
NEGATIVE -‐942.75 1.84 -‐363.84 2.21 0 0 0 36 4 POSITIVE 1213.59 8.67 425.91 8.71 0.00637 3.19 0.04988
NEGATIVE -‐1415.6 4.9 -‐556.2 2.18 -‐0.01927 4.9 -‐0.05144
8 POSITIVE 779.59 12.27 556.2 2.18 0 0 0
NEGATIVE -‐1148.36 2.15 -‐425.91 8.71 0 0 0 37 8 POSITIVE 938.18 2.08 283.62 5.62 0 0 0
NEGATIVE -‐887.01 12.07 -‐336.26 4.52 0 0 0
12 POSITIVE 760.18 10.86 336.26 4.52 0 0 0
NEGATIVE -‐1292.41 2.23 -‐283.62 5.62 -‐0.00024 4.45 -‐0.00024 38 12 POSITIVE 1012.71 4.43 383.36 5.34 0 0 0
NEGATIVE -‐687.99 3.56 -‐259.17 12.06 0 0 0
16 POSITIVE 912.64 3.14 259.17 12.06 0 0 0
NEGATIVE -‐1033.03 4.5 -‐383.36 5.34 0 0 0 39 16 POSITIVE 741.28 4.5 339.61 2.12 0 0 0
NEGATIVE -‐573.75 3.58 -‐297.82 2.34 0 0 0
20 POSITIVE 1096.07 3.11 297.82 2.34 0 0 0
NEGATIVE -‐1031 1.76 -‐339.61 2.12 0 0 0 40 20 POSITIVE 744.09 4.79 262.37 2.17 0 0 0
NEGATIVE -‐539.81 9.12 -‐180.79 4.65 0 0 0
24 POSITIVE 948 5.71 180.79 4.65 0 0 0
NEGATIVE -‐844.11 5.03 -‐262.37 2.17 0 0 0 41 24 POSITIVE 529.02 1.8 246.35 4.8 0 0 0
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
43
NEGATIVE -‐433.7 11.94 -‐98.38 4.7 0 0 0
28 POSITIVE 640.81 2.16 98.38 4.7 0 0 0
NEGATIVE -‐351.01 1.83 -‐246.35 4.8 0 0 0
Analisa Lokasi Sendi Plastis Dan Batasan Rotasi
: Sendi Plastis Skala 1.0 Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.00
ELEM NODE BENDING SHEAR PL HINGE ACCUM NO. NO. MOMENT TIME FORCE TIME ROTATION TIME ROTATIONS
1 5 POSITIVE 596.78 4 0.94 238.80 4 0.94 .04884 4 0.940 0.158
NEGATIVE -‐307.33 11.69 -‐8.43 11.69 -‐0.013 11.690 -‐0.150
6 POSITIVE 386.54 4.94 216.62 11.69 0.044 4.940 0.139
NEGATIVE -‐514.1 11.69 -‐30.61 4.94 -‐0.013 11.690 -‐0.131 2 6 POSITIVE 588.74 4.94 236.78 4.94 0.045 4.940 0.139
NEGATIVE -‐308.35 11.69 -‐9.01 11.69 -‐0.013 11.690 -‐0.130
7 POSITIVE 379.86 4.94 217.2 11.69 0.042 4.940 0.137
NEGATIVE -‐517.34 11.69 -‐28.59 4.94 -‐0.015 11.690 -‐0.131 3 7 POSITIVE 590.56 4.94 238.15 4.94 0.043 4.940 0.137
NEGATIVE -‐310.51 11.69 -‐9.2 11.69 -‐0.015 11.690 -‐0.131
8 POSITIVE 388.01 4.94 217.4 11.69 0.048 4.940 0.159
NEGATIVE -‐516.58 11.69 -‐29.95 4.94 -‐0.014 11.690 -‐0.151 4 9 POSITIVE 553.47 5 227.2 5 0.030 5.000 0.134
NEGATIVE -‐333.04 11.71 -‐15.26 11.71 -‐0.024 11.710 -‐0.137
10 POSITIVE 345.17 5 223.45 11.71 0.02811 5 0.11998
NEGATIVE -‐538.23 11.71 -‐19.01 5 -‐0.02255 11.71 -‐0.12237 5 10 POSITIVE 550.2 5 226.32 5 0.02873 5 0.12093
NEGATIVE -‐330.11 11.71 -‐14.87 11.71 -‐0.02193 11.71 -‐0.12266
11 POSITIVE 342.01 5 223.06 11.71 0.02685 5 0.12014
NEGATIVE -‐538.31 11.71 -‐18.12 5 -‐0.02382 11.71 -‐0.12376 6 11 POSITIVE 550.22 5 226.74 5 0.02749 5 0.11932
NEGATIVE -‐333.21 11.71 -‐15.72 11.71 -‐0.02318 11.71 -‐0.12232
12 POSITIVE 345.06 5 223.91 11.71 0.02937 5 0.13387
NEGATIVE -‐541.46 11.71 -‐18.55 5 -‐0.02515 11.71 -‐0.13809 7 13 POSITIVE 534.73 5.04 222.2 5.04 0.02197 5.04 0.12421
NEGATIVE -‐336.39 11.77 -‐16.41 11.77 -‐0.02505 11.77 -‐0.13213
14 POSITIVE 327.44 5.04 224.6 11.77 0.0212 5.04 0.12756
NEGATIVE -‐543.3 11.77 -‐14.01 5.04 -‐0.02536 11.77 -‐0.13564 8 15 POSITIVE 532.18 5.04 221.59 5.04 0.02064 5.04 0.1271
NEGATIVE -‐338.49 11.77 -‐17.01 11.77 -‐0.02586 11.77 -‐0.13568
16 POSITIVE 325.53 5.04 225.2 11.77 0.02067 5.04 0.12398
NEGATIVE -‐545.56 11.77 -‐13.4 5.04 -‐0.02635 11.77 -‐0.13321
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
44
9 17 POSITIVE 513.53 5.08 204.37 5.08 0.01326 5.08 0.0833
NEGATIVE -‐317.21 11.81 -‐23.09 11.81 -‐0.0173 11.81 -‐0.08694
18 POSITIVE 306.09 5.08 207.29 11.81 0.01231 5.08 0.07519
NEGATIVE -‐523.68 11.81 -‐20.18 5.08 -‐0.01705 11.81 -‐0.07865 10 18 POSITIVE 512.06 5.08 204.03 5.08 0.01248 5.08 0.07694
NEGATIVE -‐317.11 11.81 -‐23.15 11.81 -‐0.01703 11.81 -‐0.08036
19 POSITIVE 305.03 5.08 207.34 11.81 0.01204 5.08 0.07655
NEGATIVE -‐524.15 11.81 -‐19.84 5.08 -‐0.01749 11.81 -‐0.08043 11 19 POSITIVE 511.66 5.08 203.99 5.08 0.01208 5.08 0.07503
NEGATIVE -‐318.18 11.81 -‐23.5 11.81 -‐0.01729 11.81 -‐0.07873
20 POSITIVE 305.19 5.08 207.69 11.81 0.01233 5.08 0.08243
NEGATIVE -‐525.65 11.81 -‐19.8 5.08 -‐0.01828 11.81 -‐0.08705 12 21 POSITIVE 505.65 5.13 202.26 5.13 0.00987 5.13 0.0497
NEGATIVE -‐307.57 11.84 -‐20.52 11.84 -‐0.01313 11.84 -‐0.05379
22 POSITIVE 298.53 5.13 204.71 11.84 0.00931 5.13 0.04594
NEGATIVE -‐514.5 11.84 -‐18.07 5.13 -‐0.01345 11.84 -‐0.05065 13 22 POSITIVE 504.55 5.12 201.96 5.12 0.00939 5.12 0.04694
NEGATIVE -‐308.48 11.84 -‐20.78 11.84 -‐0.01345 11.84 -‐0.05146
23 POSITIVE 297.49 5.12 204.98 11.84 0.009 5.12 0.04643
NEGATIVE -‐515.54 11.84 -‐17.77 5.12 -‐0.01394 11.84 -‐0.05144 14 23 POSITIVE 503.62 5.13 201.73 5.13 0.00895 5.13 0.04557
NEGATIVE -‐309.41 11.84 -‐21.05 11.84 -‐0.01381 11.84 -‐0.05064
24 POSITIVE 296.69 5.13 205.24 11.84 0.00864 5.13 0.04846
NEGATIVE -‐516.53 11.84 -‐17.54 5.13 -‐0.01437 11.84 -‐0.05378 15 25 POSITIVE 501.46 5.14 201.06 5.14 0.00827 5.14 0.03039
NEGATIVE -‐301.24 11.86 -‐18.7 11.86 -‐0.01076 11.86 -‐0.0349
26 POSITIVE 294.01 5.14 202.89 11.86 0.00731 5.14 0.02542
NEGATIVE -‐507.55 11.86 -‐16.87 5.14 -‐0.01032 11.86 -‐0.0307 16 26 POSITIVE 499.55 5.14 200.6 5.14 0.00732 5.14 0.02549
NEGATIVE -‐300.82 11.86 -‐18.68 11.86 -‐0.01029 11.86 -‐0.03068
27 POSITIVE 292.5 5.14 202.88 11.86 0.00684 5.14 0.02501
NEGATIVE -‐507.87 11.86 -‐16.4 5.14 -‐0.01076 11.86 -‐0.03069 17 27 POSITIVE 499.33 5.14 200.63 5.14 0.00693 5.14 0.02504
NEGATIVE -‐302.24 11.86 -‐19.13 11.86 -‐0.0107 11.86 -‐0.03071
28 POSITIVE 293 5.14 203.32 11.86 0.00735 5.14 0.02948
NEGATIVE -‐509.7 11.86 -‐16.44 5.14 -‐0.01169 11.86 -‐0.03491 18 1 POSITIVE 1348.21 11.64 509.17 8.75 0.00745 11.69 0.10468
NEGATIVE -‐1371.02 2.15 -‐641.11 2.15 -‐0.04698 4.92 -‐0.11559
5 POSITIVE 951.86 12.26 641.11 2.15 0 0 0
NEGATIVE -‐1321.65 2.15 -‐509.17 8.75 -‐0.00377 2.21 -‐0.00377 19 5 POSITIVE 723.58 2.13 300.22 5.5 0 0 0
NEGATIVE -‐1070.77 12.08 -‐449.56 1.71 0 0 0
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
45
9 POSITIVE 1200.07 8.75 449.56 1.71 0 0 0.00179
NEGATIVE -‐1386.34 2.23 -‐300.22 5.5 -‐0.01639 4.45 -‐0.01639 20 9 POSITIVE 834.48 2.2 167.17 5.67 0 0 0
NEGATIVE -‐1266.22 3.56 -‐376.47 5 0 0 0
13 POSITIVE 1076 5.48 376.47 5 0 0 0
NEGATIVE -‐1341.74 4.53 -‐167.17 5.67 -‐0.00541 4.53 -‐0.00541 21 13 POSITIVE 773.66 4.43 346.21 2.12 0 0 0
NEGATIVE -‐958.26 9.5 -‐389.99 4.6 0 0 0
17 POSITIVE 1117.97 8.9 389.99 4.6 0.00311 8.92 0.01409
NEGATIVE -‐1249.37 1.8 -‐346.21 2.12 -‐0.00436 5.04 -‐0.01098 22 17 POSITIVE 702.68 4.99 256.29 2.17 0 0 0
NEGATIVE -‐950.72 9.19 -‐297.66 12.17 0 0 0
21 POSITIVE 1019.82 5.73 297.66 12.17 0 0 0.00014
NEGATIVE -‐1115.68 4.64 -‐256.29 2.17 -‐0.00039 4.64 -‐0.00039 23 21 POSITIVE 595.77 4.63 140.43 2.22 0 0 0
NEGATIVE -‐753.65 5.73 -‐260.61 9.16 0 0 0
25 POSITIVE 360.66 2.15 260.61 9.16 0 0 0
NEGATIVE -‐624.77 5.09 -‐140.43 2.22 0 0 0 24 2 POSITIVE 655.43 9.17 297.17 3.59 0.00815 11.69 0.12834
NEGATIVE -‐910.88 4.92 -‐409.25 4.9 -‐0.04876 4.92 -‐0.13971
6 POSITIVE 620.79 3.59 409.25 4.9 0.00029 1.88 0.00923
NEGATIVE -‐811.35 4.9 -‐297.17 3.59 -‐0.00721 2.21 -‐0.01212 25 6 POSITIVE 803.3 2.06 377.54 11.65 0.00006 2.07 0.00226
NEGATIVE -‐952.93 4.53 -‐519.97 2.26 -‐0.00218 2.51 -‐0.00413
10 POSITIVE 805.36 1.82 519.97 2.26 0 0 0.02303
NEGATIVE -‐996.23 4.45 -‐377.54 11.65 -‐0.01929 4.45 -‐0.03485 26 10 POSITIVE 1042.74 2.1 469.32 2.08 0.00111 2.1 0.00111
NEGATIVE -‐1097.23 2.57 -‐464.48 1.75 0 0 -‐0.00073
14 POSITIVE 1039.83 3.15 464.48 1.75 0 0 0.00386
NEGATIVE -‐1130.41 4.53 -‐469.32 2.08 -‐0.00647 4.53 -‐0.0075 27 14 POSITIVE 904.17 4.41 419.49 5.7 0 0 0
NEGATIVE -‐789.46 3.58 -‐379.05 4.6 0 0 0
18 POSITIVE 1248.95 8.92 379.05 4.6 0.00388 8.92 0.01601
NEGATIVE -‐1251.91 1.8 -‐419.49 5.7 -‐0.00475 5.04 -‐0.01213 28 18 POSITIVE 619.66 2.74 368.06 2.17 0 0 0
NEGATIVE -‐1007.16 9.18 -‐393.87 4.64 0 0 0
22 POSITIVE 1249.38 5.73 393.87 4.64 0 0 0.00019
NEGATIVE -‐1249.96 4.64 -‐368.06 2.17 -‐0.00035 4.64 -‐0.00035 29 22 POSITIVE 618.24 4.81 404.35 2.22 0 0 0
NEGATIVE -‐666.73 9.16 -‐369.74 4.7 0 0 0
26 POSITIVE 936.68 2.16 369.74 4.7 0 0 0
NEGATIVE -‐958.65 5.09 -‐404.35 2.22 0 0 0
UAS StrukturBetonLanjut Rizfan Hermanto - 2013831023
46
30 3 POSITIVE 689.53 11.69 292.09 12.26 0.00885 11.69 0.12899
NEGATIVE -‐871.09 4.92 -‐391.32 4.91 -‐0.04817 4.92 -‐0.13941
7 POSITIVE 611.01 12.26 391.32 4.91 0 0 0.00857
NEGATIVE -‐773.8 4.89 -‐292.09 12.26 -‐0.00885 4.91 -‐0.01356 31 7 POSITIVE 853.65 2.07 399.85 11.65 0 0 0.00118
NEGATIVE -‐904.69 4.54 -‐501.99 2.26 -‐0.00451 12.07 -‐0.00569
11 POSITIVE 820.03 1.97 501.99 2.26 0 0 0.02317
NEGATIVE -‐954.07 4.89 -‐399.85 11.65 -‐0.02012 4.45 -‐0.0353 32 11 POSITIVE 1091.3 2.11 485.99 2.08 0.00069 2.11 0.00069
NEGATIVE -‐1050.5 2.57 -‐461.94 4.56 -‐0.00052 2.57 -‐0.0012
15 POSITIVE 1087.47 3.08 461.94 4.56 0 0 0.00398
NEGATIVE -‐1082.92 4.51 -‐485.99 2.08 -‐0.00742 4.53 -‐0.00849 33 15 POSITIVE 574.96 4.41 331.54 5.7 0 0 0
NEGATIVE -‐1111.15 3.58 -‐469.5 1.8 0 0 0
19 POSITIVE 1240.66 5.7 469.5 1.8 0.00356 8.92 0.01601
NEGATIVE -‐1254.73 5.04 -‐331.54 5.7 -‐0.00509 5.04 -‐0.01245 34 19 POSITIVE 632.94 2.74 375.48 2.17 0 0 0
NEGATIVE -‐993.73 9.18 -‐392.34 4.64 0 0 0
23 POSITIVE 1249.38 5.73 392.34 4.64 0 0 0.00018
NEGATIVE -‐1250.57 4.62 -‐375.48 2.17 -‐0.00033 4.64 -‐0.00033 35 23 POSITIVE 619.8 4.81 403.02 2.22 0 0 0
NEGATIVE -‐667.91 9.16 -‐368.68 4.7 0 0 0
27 POSITIVE 938.48 2.16 368.68 4.7 0 0 0
NEGATIVE -‐998.62 1.85 -‐403.02 2.22 0 0 0 36 4 POSITIVE 1230.8 3.58 511.74 8.73 0.00577 11.69 0.10251
NEGATIVE -‐1537.23 4.86 -‐636.14 2.21 -‐0.04788 4.92 -‐0.11576
8 POSITIVE 1126.38 12.25 636.14 2.21 0 0 0
NEGATIVE -‐1291.71 2.21 -‐511.74 8.73 -‐0.00297 2.21 -‐0.00297 37 8 POSITIVE 1217.04 2.19 346.07 5.5 0 0 0
NEGATIVE -‐957.63 12.08 -‐405.82 1.71 0 0 0
12 POSITIVE 1156.86 8.76 405.82 1.71 0 0 0.00167
NEGATIVE -‐1390.17 2.25 -‐346.07 5.5 -‐0.01548 4.45 -‐0.01548 38 12 POSITIVE 1240.47 2.2 292.15 5.67 0 0 0
NEGATIVE -‐953.55 3.56 -‐248.46 5 0 0 0
16 POSITIVE 1219.33 5.48 248.46 5 0 0 0
NEGATIVE -‐1213.66 4.48 -‐292.15 5.67 -‐0.00507 4.53 -‐0.00507 39 16 POSITIVE 977.08 4.43 410.18 2.11 0 0 0
NEGATIVE -‐824.4 9.5 -‐319.35 1.8 0 0 0
20 POSITIVE 1241.89 3.26 319.35 1.8 0.00335 8.92 0.01395
NEGATIVE -‐1133.19 5.02 -‐410.18 2.11 -‐0.00404 5.04 -‐0.0106 40 20 POSITIVE 921.19 1.75 329.09 2.17 0 0 0
NEGATIVE -‐795.23 9.19 -‐227.28 12.17 0 0 0
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24 POSITIVE 1114.05 5.73 227.28 12.17 0 0 0.00012
NEGATIVE -‐1023.07 4.63 -‐329.09 2.17 -‐0.00032 4.64 -‐0.00032 41 24 POSITIVE 771.49 4.63 264.32 4.81 0 0 0
NEGATIVE -‐571.5 5.73 -‐135.65 9.16 0 0 0
28 POSITIVE 633.71 2.15 135.65 9.16 0 0 0
NEGATIVE -‐352.86 5.09 -‐264.32 4.81 0 0 0
Analisa Lokasi Sendi Plastis Dan Batasan Rotasi
: Sendi Plastis
: Tidak Aman
( >0.025) Skala 1.5
Bandung Tanah Lunak -‐ El Centro -‐ Skala 1.5 ELEM NODE BENDING SHEAR PL HINGE ACCUM NO. NO. MOMENT TIME FORCE TIME ROTATION TIME ROTATIONS 1 5 POSITIVE 1247.55 4.91 396.21 4.91 0.382 6.400 92.325
NEGATIVE -‐1018.31 11.72 -‐172.96 3.78 -‐0.428 11.720 -‐92.108
6 POSITIVE 894.42 8.01 381.15 3.78 0.269 8.320 58.497
NEGATIVE -‐1130.89 3.78 -‐188.02 4.91 -‐0.282 3.780 -‐58.568 2 6 POSITIVE 1027.52 8.18 359.92 7.51 0.277 5.030 59.054
NEGATIVE -‐753.38 10.48 -‐122.11 10.48 -‐0.278 3.760 -‐59.134
7 POSITIVE 850.42 7.51 330.3 10.48 0.262 2.750 55.920
NEGATIVE -‐949.53 10.16 -‐151.73 7.51 -‐0.254 12.320 -‐55.927 3 7 POSITIVE 1153.58 2.8 406.21 2.8 0.272 4.760 55.539
NEGATIVE -‐968.96 12.51 -‐169.31 4.1 -‐0.258 12.510 -‐55.537
8 POSITIVE 1099.09 7.87 377.5 4.1 0.429 7.870 95.296
NEGATIVE -‐1162.29 12.5 -‐198.02 2.8 -‐0.424 12.830 -‐95.250 4 9 POSITIVE 1141.94 4.82 376.34 4.82 0.360 6.940 86.196
NEGATIVE -‐904.55 13.14 -‐151.75 9.65 -‐0.360 12.450 -‐86.390
10 POSITIVE 845.43 4.82 359.94 9.65 0.29424 5.07 67.37069
NEGATIVE -‐1025.36 9.65 -‐168.15 4.82 -‐0.27973 10.69 -‐67.2404 5 10 POSITIVE 1081.3 8.22 367.25 8.22 0.29302 5.07 68.49377
NEGATIVE -‐782.79 9.6 -‐145.98 12.6 -‐0.2812 10.69 -‐68.35265
11 POSITIVE 860.57 5.32 354.17 12.6 0.29874 4.99 73.24584
NEGATIVE -‐1063.53 12.6 -‐159.06 8.22 -‐0.2796 12.6 -‐73.22014 6 11 POSITIVE 1116.85 5.28 398.87 5.28 0.29915 4.99 71.58847
NEGATIVE -‐937.74 12.67 -‐193.51 12.67 -‐0.27022 12.59 -‐71.57112
12 POSITIVE 1035 5.28 401.71 12.67 0.39441 2.59 95.34853
NEGATIVE -‐1234.82 12.67 -‐190.68 5.28 -‐0.36372 11.81 -‐95.33006 7 13 POSITIVE 551.83 2.62 226.84 2.62 0.02917 2.62 0.10409
NEGATIVE -‐280.61 0.87 -‐1.18 0.87 -‐0.00182 0.87 -‐0.09082
14 POSITIVE 344.22 2.62 209.38 0.87 0.028 2.62 0.10022
NEGATIVE -‐487.93 0.87 -‐18.65 2.62 -‐0.00262 0.87 -‐0.0869
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8 15 POSITIVE 544.63 2.6 224.98 2.6 0.02585 2.6 0.09639
NEGATIVE -‐282.33 0.87 -‐1.62 0.87 -‐0.00263 0.87 -‐0.08403
16 POSITIVE 337.85 2.6 209.81 0.87 0.02571 2.6 0.09514
NEGATIVE -‐489.4 0.87 -‐16.79 2.6 -‐0.00313 0.87 -‐0.08238 9 17 POSITIVE 516.84 2.65 205.22 2.65 0.01481 2.65 0.0507
NEGATIVE -‐281.59 11.92 -‐13.35 11.92 -‐0.00254 11.92 -‐0.04599
18 POSITIVE 308.96 2.65 197.54 11.92 0.01331 2.65 0.0451
NEGATIVE -‐488.38 11.93 -‐21.03 2.65 -‐0.00254 11.93 -‐0.04121 10 18 POSITIVE 514.68 2.65 204.62 2.63 0.01347 2.66 0.04567
NEGATIVE -‐282.16 11.92 -‐13.63 11.92 -‐0.0024 11.92 -‐0.04164
19 POSITIVE 308.31 2.66 197.82 11.92 0.01358 2.66 0.055
NEGATIVE -‐489.63 11.92 -‐20.43 2.63 -‐0.00339 11.92 -‐0.04971 11 19 POSITIVE 674.45 2.71 268 2.71 0.02082 2.71 2.05041
NEGATIVE -‐381.41 9.77 -‐53.42 9.77 -‐0.00783 11.94 -‐2.04335
20 POSITIVE 609.65 2.71 237.61 9.77 0.19683 2.71 67.92524
NEGATIVE -‐680.87 9.77 -‐83.81 2.71 -‐0.12051 9.77 -‐67.90509 12 21 POSITIVE 501.86 2.68 201.21 2.68 0.00832 2.68 0.01853
NEGATIVE -‐271.64 2.22 -‐10.66 2.22 0 0 -‐0.01564
22 POSITIVE 294.71 2.68 194.86 2.22 0.00772 2.68 0.01619
NEGATIVE -‐478.51 2.22 -‐17.02 2.68 0 0 -‐0.01411 13 22 POSITIVE 500.9 2.68 200.97 2.68 0.00787 2.68 0.01663
NEGATIVE -‐272.2 2.22 -‐10.83 2.22 0 0 -‐0.01445
23 POSITIVE 294.11 2.69 195.03 2.22 0.008 2.69 0.01609
NEGATIVE -‐479.48 12.58 -‐16.78 2.68 0 0 -‐0.01455 14 23 POSITIVE 499.16 2.69 200.13 1.91 0.0075 2.69 0.01529
NEGATIVE -‐273.18 2.22 -‐11.13 2.22 0 0 -‐0.0137
24 POSITIVE 290.86 1.91 195.33 2.22 0.00623 1.91 0.01613
NEGATIVE -‐480.41 2.22 -‐15.94 1.91 0 0 -‐0.01418 15 25 POSITIVE 494.72 1.91 199.22 1.91 0.00547 1.91 0.00722
NEGATIVE -‐268.36 2.23 -‐9.7 2.23 0 0 -‐0.00325
26 POSITIVE 287.3 1.91 193.89 2.23 0.00455 1.91 0.00498
NEGATIVE -‐474.75 2.23 -‐15.03 1.91 0 0 -‐0.00134 16 26 POSITIVE 492.95 1.91 198.79 1.91 0.0046 1.91 0.00501
NEGATIVE -‐268.06 2.23 -‐9.71 2.23 0 0 -‐0.00132
27 POSITIVE 285.88 1.91 193.9 2.23 0.0041 1.91 0.00456
NEGATIVE -‐475.15 2.23 -‐14.59 1.91 0 0 -‐0.00135 17 27 POSITIVE 492.54 1.91 198.77 1.91 0.00413 1.91 0.0045
NEGATIVE -‐269.47 2.23 -‐10.14 2.23 0 0 -‐0.00132
28 POSITIVE 286.2 1.91 194.33 2.23 0.00459 2.7 0.00718
NEGATIVE -‐476.84 2.23 -‐14.58 1.91 0 0 -‐0.00444 18 1 POSITIVE 2227.23 12.1 1221.19 12.1 0.05042 12.32 0.26935
NEGATIVE -‐2438.94 5.69 -‐1393.3 5.69 -‐0.07757 2.48 -‐0.27514
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5 POSITIVE 3071.48 13.34 1393.33 5.69 0.37197 13.34 89.4244
NEGATIVE -‐3413.06 5.69 -‐1221.2 12.1 -‐0.41702 5.69 -‐89.22381 19 5 POSITIVE 2791.77 3.84 1501.12 3.41 0.36069 6.4 88.06784
NEGATIVE -‐2830.83 8.39 -‐1463.2 13.62 -‐0.36775 3.1 -‐87.89165
9 POSITIVE 2858.88 3.8 1463.2 13.62 0.36245 5.69 82.52479
NEGATIVE -‐3077.4 11.2 -‐1501.1 3.41 -‐0.37864 13.34 -‐82.75048 20 9 POSITIVE 3222.9 6.94 1368.82 3.1 0.33797 6.94 84.18522
NEGATIVE -‐3316.44 3.64 -‐1439.4 13.34 -‐0.35817 3.59 -‐84.38411
13 POSITIVE 2015.91 11.52 1439.39 13.34 0.01678 12.59 0.04544
NEGATIVE -‐1936.09 13.34 -‐1368.8 3.1 -‐0.00912 5.22 -‐0.03606 21 13 POSITIVE 946.21 2.49 356.67 11.91 0 0 0
NEGATIVE -‐1159.53 11.73 -‐406.01 8.21 -‐0.00011 11.73 -‐0.00011
17 POSITIVE 1094.5 11.75 406.01 8.21 0 0 0.0025
NEGATIVE -‐1268 2.64 -‐356.67 11.91 -‐0.00777 5.19 -‐0.00777 22 17 POSITIVE 937.07 2.76 281.85 4.86 0 0 0
NEGATIVE -‐979.23 10.05 -‐321.1 4.71 0 0 0
21 POSITIVE 988.66 11.94 321.1 4.71 0 0 0
NEGATIVE -‐1117 2.67 -‐281.85 4.86 -‐0.00061 2.67 -‐0.00061 23 21 POSITIVE 671.32 2.79 136.22 5.66 0 0 0
NEGATIVE -‐765.26 12.02 -‐233.38 4.75 0 0 0
25 POSITIVE 318.48 2.19 233.38 4.75 0 0 0
NEGATIVE -‐598.39 2.49 -‐136.22 5.66 0 0 0 24 2 POSITIVE 1331.18 12.23 736.14 10.69 0.04819 12.31 0.29917
NEGATIVE -‐1457.42 2.42 -‐745.21 2.42 -‐0.07881 2.49 -‐0.30805
6 POSITIVE 2167.43 10.69 745.21 2.42 0.29529 10.69 57.89458
NEGATIVE -‐1808.1 3.76 -‐736.14 10.69 -‐0.25954 3.76 -‐57.98136 25 6 POSITIVE 2323.79 11.91 1298.89 11.81 0.25943 6.17 57.12555
NEGATIVE -‐2245.58 5.28 -‐1329.7 5.28 -‐0.21992 3.76 -‐57.22983
10 POSITIVE 2518.54 9.55 1329.72 5.28 0.25755 5.63 66.13511
NEGATIVE -‐2541.41 5.28 -‐1298.9 11.81 -‐0.3 10.69 -‐66.04159 26 10 POSITIVE 2710.56 13.34 1081.67 3.06 0.27447 13.34 66.61566
NEGATIVE -‐2679.59 10.69 -‐1171.1 10.69 -‐0.28214 10.69 -‐66.48274
14 POSITIVE 1622.7 3.06 1171.14 10.69 0.01727 13.02 0.04961
NEGATIVE -‐1739.96 4.8 -‐1081.7 3.06 -‐0.0096 2.58 -‐0.04035 27 14 POSITIVE 1155.62 5.15 488.05 12.61 0 0 0
NEGATIVE -‐1032.37 11.87 -‐393.57 1.84 0 0 0
18 POSITIVE 1189.33 11.9 393.57 1.84 0 0 0.00447
NEGATIVE -‐1265.31 5.12 -‐488.05 12.61 -‐0.00843 2.63 -‐0.00967 28 18 POSITIVE 856.41 2.83 369.31 2.16 0 0 0
NEGATIVE -‐1001.24 12.77 -‐378.88 4.72 0 0 0
22 POSITIVE 1248.39 11.94 378.88 4.72 0 0 0.00015
NEGATIVE -‐1255.33 2.67 -‐369.31 2.16 -‐0.00096 2.67 -‐0.00096
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29 22 POSITIVE 691.56 2.79 325.39 2.23 0 0 0
NEGATIVE -‐682.55 13.55 -‐391.26 4.75 0 0 0
26 POSITIVE 858.83 2.19 391.26 4.75 0 0 0
NEGATIVE -‐908.14 2.7 -‐325.39 2.23 0 0 0 30 3 POSITIVE 1323.13 12.8 715.81 12.8 0.04864 12.33 0.29503
NEGATIVE -‐1229.47 7.26 -‐688.54 7.26 -‐0.07783 2.49 -‐0.30301
7 POSITIVE 1848.46 13.09 688.54 7.26 0.225 4.76 54.66643
NEGATIVE -‐1884.32 2.6 -‐715.81 12.8 -‐0.22841 5.98 -‐54.67423 31 7 POSITIVE 2170.72 11.96 1198.39 11.96 0.21614 3.33 54.00981
NEGATIVE -‐2325.81 5.04 -‐1168.6 13.6 -‐0.24676 13.99 -‐54.04888
11 POSITIVE 2198.13 11.51 1168.63 13.6 0.24066 3.74 71.04573
NEGATIVE -‐2171.43 10.94 -‐1198.4 11.96 -‐0.24731 4.74 -‐71.0583 32 11 POSITIVE 2535.06 4.99 1069.65 10.16 0.25892 4.99 71.30052
NEGATIVE -‐2498.79 3.09 -‐1117.3 12.83 -‐0.24891 12.58 -‐71.2886
15 POSITIVE 1671.64 10.16 1117.29 12.83 0.0167 12.07 0.05295
NEGATIVE -‐1607.26 12.83 -‐1069.7 10.16 -‐0.01236 2.59 -‐0.04426 33 15 POSITIVE 906.4 4.84 407.35 12.61 0 0 0
NEGATIVE -‐1058.27 9.93 -‐627.78 1.82 0 0 0
19 POSITIVE 1189.88 11.98 627.78 1.82 0 0 0.00523
NEGATIVE -‐1294.98 5.12 -‐407.35 12.61 -‐0.0091 2.62 -‐0.00981 34 19 POSITIVE 1241.74 5.13 372.65 11.45 0.00027 5.13 0.00027
NEGATIVE -‐852.37 4.26 -‐408.58 5.15 0 0 0
23 POSITIVE 1210.79 11.93 408.58 5.15 0 0 0
NEGATIVE -‐1252.58 2.68 -‐372.65 11.45 -‐0.00076 2.68 -‐0.00076 35 23 POSITIVE 772.37 2.79 345.09 2.2 0 0 0
NEGATIVE -‐717.7 13.55 -‐379.36 4.75 0 0 0
27 POSITIVE 897.64 2.2 379.36 4.75 0 0 0
NEGATIVE -‐907.16 2.7 -‐345.09 2.2 0 0 0 36 4 POSITIVE 2150.43 12.17 1200.18 11.4 0.04717 12.32 0.2687
NEGATIVE -‐2351.11 2.42 -‐1238.5 7.42 -‐0.07768 2.5 -‐0.27738
8 POSITIVE 3114.96 10.79 1238.48 7.42 0.39231 7.67 91.86008
NEGATIVE -‐3099.5 2.59 -‐1200.2 11.4 -‐0.35775 12.83 -‐91.81937 37 8 POSITIVE 3260.23 11.11 1662.15 9.12 0.36508 7.25 90.56207
NEGATIVE -‐2923.56 6.57 -‐1687.6 6.57 -‐0.36308 7.42 -‐90.55599
12 POSITIVE 3278.65 12.58 1687.56 6.57 0.38336 12.83 91.71136
NEGATIVE -‐3151.67 6.57 -‐1662.2 9.12 -‐0.35716 7.77 -‐91.72216 38 12 POSITIVE 3327.6 7.42 1463.34 5.43 0.36513 7.42 93.3427
NEGATIVE -‐3209.47 10.21 -‐1374.5 7.77 -‐0.33797 10.21 -‐93.32594
16 POSITIVE 2147.6 12.94 1374.47 7.77 0.01611 12.08 0.05325
NEGATIVE -‐2040.32 6.72 -‐1463.3 5.43 -‐0.01168 2.62 -‐0.04651 39 16 POSITIVE 1576.15 4.57 991.05 4.57 0.00066 2.61 0.00518
NEGATIVE -‐1521.85 11.49 -‐939.04 11.49 -‐0.00127 4 -‐0.00563
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20 POSITIVE 2083.44 11.9 939.04 11.49 0.16488 2.71 64.47881
NEGATIVE -‐1871.98 9.77 -‐991.05 4.57 -‐0.13098 2.65 -‐64.4687 40 20 POSITIVE 2026.69 9.75 983.41 9.75 0.17588 2.71 64.62332
NEGATIVE -‐1743.72 9.77 -‐858 2.65 -‐0.11884 2.65 -‐64.60837
24 POSITIVE 1536.78 3.89 858 2.65 0.00145 12.02 0.00723
NEGATIVE -‐1378.86 2.65 -‐983.41 9.75 -‐0.0037 2.7 -‐0.00751 41 24 POSITIVE 764.31 1.86 322.43 11.65 0 0 0
NEGATIVE -‐337.45 6.09 -‐175.48 2.7 0 0 0
28 POSITIVE 593.34 2.18 175.48 2.7 0 0 0
NEGATIVE -‐373.47 2.69 -‐322.43 11.65 0 0 0
5. Kurva histerisis Momen – Rotasi
-‐1500
-‐1000
-‐500
0
500
1000
1500
-‐0.6 -‐0.4 -‐0.2 0 0.2 0.4 0.6
Histerisis Momen-‐Rotasi Balok 5-‐6 (Elemen no 1)
Histerisis Momen-‐Rotasi
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IV. Observasi Hasil Respons Riwayat Waktu
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Gempa El Centro
Roof Displacement (m)
H (m)
Xmax/H Performance Level
Drift Max (m)
H (m) Drift / H
Skala 0.67 0.179 22.2 0.0081 FO-IO 0.0892 4.2 0.0212 Skala 1.0 0.327 22.2 0.0147 DC-LS 0.2048 4.2 0.0488 Skala 1.5 0.519 22.2 0.0234 CP 0.373 4.2 0.0888
FO = Fully Operational
IO = Immediate Occupancy
DC = Damage Control
LS = Life Safety
CP = Collapse Prevention
V. Kesimpulan
• Mekanisme plastisifikasi yang terjadi sudah memenuhi persyaratan yang ada di mana sendi plastis terjadi di ujung-ujung balok dan kolom paling bawah.
• Urutan terjadinya sendi plastis untuk skala gempa kecil – sedang – besar ialah balok – balok pada lantai 1,2 dan 4,5,6 diikuti balok pada lantai 3 lalu kolom lantai 1
• Performance Level yang didapat untuk gempa skala 0.67 ialah Fully Operational , skala 1.0 ialah Life Safety, dan skala 1.5 ialah Collapse Prevention di mana telah memenuhi syarat dari ATC-40.
• Nilai PL hinge yang melebihi 0.025 pada simulasi gempa skala 1.5 membuat Basic Objective tidak terpenuhi di mana akan ada banyak balok yang akan mengalami kegagalan akibat terlalu besarnya rotasi inelastic yang terjadi.
VI. Saran • Untuk mencapai Basic Objective sesuai SEAOC vision 2000 , persyaratan
performance level haruslah near collapsed ketika terjadi gempa rare (skala 1.5) maka untuk menurunkan besarnya nilai PL hinge rotation, dimensi elemen tersebut (balok/kolom),kuat tekan material, dan momen kapasitas harus diperbesar pula.
