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BAB XII
CASE STUDIES
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Case # 1Sebuah pipa memiliki dua buah segmen dan mendapat beban aksial
sebesar FC = 1500 lb dan FB = 600 lb. Pipa tersebut memiliki diameter luar sebesar 8.625 in dan tebal 0.5 in. Tentukan tegangan yang terjadi pada
tiap segmen !
Skema :
Luas penampang pipa :
A = /4(Do2-Di
2)
= /4(8.6252-7.6252)
= 12.76 in2
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DBB : Distribusi Gaya Sepanjang Pipa
Besar tegangan yang terjadi :
AB = FAB /A = 900 / 12.76 = 70.53 psiBC = FBC / A = 1500 / 12.76 = 117.55 psi
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Solusi CAESAR II Step 1 : Piping Input (Elemen 1)
Klik untuk
membuatelemen
berikutnya
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Piping Input (Elemen 2)
Klik untuk persiapan run
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Step 2 : Error Checker
Jika terdapat tanda error, maka
analisis tidak dapat dilanjutkan
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Step 3 : Static Analysis Tekan Run Toolbar untuk
memulai analisis statik
Beban yang bekerjahanya gaya luar
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Step 4 : Static Output Precessor
1. Klik Load Cases
Analyzed dan
Report Options
2. Klik Static Output
Precessing Toolbar
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Static Output Processor
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Output :
Setelah melakukan analisis statik, pada Static Output Precessing
dapat dilihat bahwa besarnya tegangan aksial (Axial Stress) adalah
71 psi pada elemen 1 dan 118 psi pada elemen 2
Atau
axialAB = 71 Psi
axialBC = 117.5)
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Sebuah pipa diberi beban F = 200 lb pada salah satu ujungnya, sementara ujung
yang lainnya dijepit. Pipa tersebut memiliki diameter luar sebesar 8.625 in dan
ketebalan 0.5 in. Tentukan tegangan yang terjadi pada pipa !
Luas penampang pipa :
A = /4(Do2-Di
2)
= /4(8.6252-7.6252)= 12.76 in2
Skema DBB
Case # 2
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Distribusi Momen Lentur
Sepanjang Pipa
Penampang Pipa di A
).(
64
2
1..
44
1
io
o
D D
D M
I
Mc
psi35,326
)625,7625,8.(64
625,8.5,0).8000.(
44
1
2 = 4 = 0
3 = 326,35 psi (tekan)
(tarik)
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Solusi CAESAR IIStep 1 : Piping Input
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Step 2 : Error Checker
Jika terdapat tanda error, maka
analisis tidak dapat dilanjutkan
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Step 3 : Static Analysis Tekan Run Toolbar untuk
memulai analisis statik
Beban yang bekerjahanya gaya luar
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Step 4 : Static Output Processor 2. Klik Static Output
Precessing Toolbar
1. Klik Load Cases
Analyzed dan
Report Options
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Static Output Processor
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Sebuah pipa baja diberi tumpuan pada kedua ujungnya dan mendapat beban F =
200 lb pada bagian tengahnya. Pipa tersebut memiliki diameter luar sebesar
8.625 in dan ketebalan 0.5 in. Tentukan besar tegangan yang terjadi pada pipa !
Jawab :
Skema DBB
- RAx = 0
- RAy = RBy = 100 lb
Case # 3
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Distribusi momen lentur
sepanjang pipa : Penampang Pipa
di Titik C :
).(
64
2
1..
44
1
io
o
D D
D M
I
Mc
Psi586,81
)625,7625,8.(64
625,8.5,0).2000.(
44
1
2 = 4 = 0
3 = 81.586 Psi
(tarik)(tekan)
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Solusi CAESAR II Step 1 : Piping Input ( Elemen 1 )
Tekan Untuk elemen baru
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Piping Input (Elemen 2 )
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Step 2 : Error Checker
Jika terdapat tanda error, maka
analisis tidak dapat dilanjutkan
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Step 3 : Static Analysis
Beban yang bekerjahanya gaya luar
Tekan Run Toolbar untuk
memulai analisis statik
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Static Output Processor
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Sebuah pipa mendapat momen puntir T = 1000 lb.in pada salah satu
ujungnya, sedangkan ujung yang lainnya dijepit. Pipa tersebut memilikidiameter luar sebesar 8.625 in dan ketebalan 0.5 in. Tentukan besar
tegangan yang terjadi !
Jawab :
Skema DBB
Case # 4
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Distribusi Momen Puntir di
Sepanjang Pipa
Besarnya Tegangan Geser
di Sepanjang Pipa
1 = 2 = 3 = 4 = AB = 20.4 Psi
; 44
32
2
1.
.
io
o AB AB
AB
D D
DT
J
cT
Psi
AB4.20
)625.7625.8.(
32
626,8.5,0).1000(
44
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Solusi CAESAR II Step 1 : Piping Input
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Step 2 : Error Checker
Jika terdapat tanda error, maka
analisis tidak dapat dilanjutkan
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Step 4 : Static Output Processor2. Klik Static Output
Precessing Toolbar
1. Klik Load Cases
Analyzed dan
Report Options
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Static Output Processor
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Sebuah pipa memiliki dua buah segmen dan mendapat momen puntir sebesar
TB = 800 lb.in dan TC = 1500 lb.in. Pipa tersebut memiliki diameter luarsebesar 8.625 in dan ketebalan 0.5 in. Tentukan tegangan yang terjadi pada tiap
segmen pipa !
Jawab :
Skema DBB
Case # 5
C C S
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Distribusi Momen Puntir
Sepanjang Pipa
Bentuk Penampang Pipa
Segmen AB
44
32
2
1..
io
o AB AB
AB
D D
DT
J
cT
Psi AB
28.14
)625.7625.8.(32
626,8.5,0).700(
44
Ch XII C S di
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Segmen BC
44
32
2
1.
.
io
o BC BC
BC
D D
DT
J
cT
Psi BC
59.30
)625.7625.8.(32
626,8.5,0).1500(
44
;
Ch t XII C St di
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Static Output Processor
Ch t XII C St di
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Pada sebuah pipa bekerja tekanan internal sebesar 130 psi. Pipa tersebut memilikidiameter luar sebesar 8.625 in dan ketebalan 0.5 in. Tentukan besar tegangan yang
terjadi pada dinding pipa!
Skema DBB
Case # 6
Ch t XII C St di
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Diameter dalam pipa :
Di = Do – 2t
= 8.625 – 2(0.5)= 7.625 in
Besar tegangan pada dinding pipa :
tegangan tangensial :
tegangan longitudinal :
t
D pi
t .2
.
Psit
.25.991)5.0.(2
)625.7.(130
t
D pi
l.4
. Psi
l.625.495
)5.0.(4
)625.7.(130
Ch t XII C St di
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Static Output Processor
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200 lb
A
B
C
Sebuah pipa diberi beban F = 200 lb
pada salah satu ujungnya, sementara
ujung yang lainnya dijepit. Pipa
tersebut memiliki diameter luar sebesar
8.625 in dan ketebalan 0.5 in. Tentukan
tegangan yang terjadi pada pipa di titik
A!
40 in
40 in
Case # 7
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DBB batang AB DBB batang BC
Momen Torsi yang Terjadi :
TA = F x BC
= 200 x 40
= 8000 lb.in
Momen Lentur yang Terjadi :
MA = F x AB
= 200 x 40
= 8000 lb.in
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Tegangan Yang Terjadi Pada Titik A :
- Tegangan Lentur ( Bending Stress ) :
A
).(64
2
1..
44
1
io
o
D D
D M
I
Mc
Psi34.326
)625,7625,8.(64
625,8.5,0).8000.(
44
1
- Tegangan Puntir (Torsional Stress) : A
44
32
2
1.
.
io
o AB AB
AB
D D
DT
J
cT
Psi
AB17.163
)625.7625.8.(32
626,8.5,0).8000(
44
;
;
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Solusi CAESAR IIStep 1 : Piping Input (elemen 1)
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Static Output Processor
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Dua buah pipa “seamless carbon steel A106 grade B”, schedule 40
dengan diameter nominal 3 in pada potongan AB dan 2 in padapotongan BC disambung pada titik B dan dijepit di antara 2 dinding
seperti pada gambar. Tentukan tegangan di masing-masing pipa dan
perpindahan titik B akibat peningkatan temperatur T = 130o F.
Case # 8
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Solusi
1) Statika
Dari diagram benda bebas
F AB = R
F AB = FBC
FBC = R2) Hubungan gaya – perpindahan
Untuk pipa AB Untuk pipa BC
TEAEAF
EA
F
ABABABAB
AB
AB
AB
TEAEAF
EA
F
BCBCBCBC
BC
BC
BC
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3) Geometri
Perpindahan pada titik A, B dan C ditunjukkan pada gambar
dengan kondisi batas u A = uC = 0
AB
B
AB
ABAB
L
u
L
uu
BC
B
BC
BCBC
L
u
L
uu
TEAL
uEATEA
L
uEA BC
BC
BBCAB
AB
BAB
BCAB FF
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kemudian dapat dicari UB
........u
AATL
A
L
Au
B
BCAB
BC
BC
AB
ABB
4) Tegangan
Tentukan R = FBC
R = ………
Sehingga tegangan-tegangan yang terjadi
........A
R
......A
R
BC
BC
AB
AB
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Case Study #9“Sistem perpipaam digunakan untuk mengalirkan crude oil dari pompa ke
vertical vessel dalam suatu refining process. Discharge pompa memiliki
diameter 8-in nozzle.
Kondisi Operasi & pembebanan
Fluida dengan specific gravity 0.8, temperatur operasi 6000F dan tekanan 30 psi
Anchor displacement pada discharge pompa : Y = 0.077 dan Z = 0.046
akibat thermal growth pada pompa
Anchor displacement pada vessel : Y = 0.28 dan Z = -0.10 akibat thermal growth
pada vessel
Isolasi type calcium silicate sepanjang pipa dengan tebal 3.0 in
Corrosion allowance 0.0312 in
Bahan pipa : Baja karbon rendah dengan Sc = 20000 psi dan Sh = 17300 psi
Semua percabangan menggunakan welding tee Semua belokan menggunakan type “long radius”
Semua Valve adalah kelas 150 psi
Hanger tipe Grinell dengan load variation 25%
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Penomoran nodal
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Pemodelan anchor displacement pada discharge pompa
PemodelanCheck valve
klas 150 psi
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Hanger Auxiliary Data
Specification
Pemodelan tumpuan
satu arah
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Stress report
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Hanger report
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Case
Sistem, kondisi operasi dan pembebanan sama seperti pada Case # 9, yang ingin
dicari pada Case # 10 ini adalah menentukan „Pump Discharge Loads‟ padanodal 5 dengan menggunakan analisis fleksibilitas API 610 pada CAESAR II,
pada nosel menggunakan analisis fleksiblitas WRC 297 & dan melakukan
redesign jika terjadi beban berlebih.
Langkah-langkah pengerjaan :
Mengecek apakah operating loads and installation loads lebih kecil daribeban yang diijinkan API 610
Jika lebih kecil tidak diperlukan pengecekan tambahan dengan API 610,
namun jika lebih besar diperlukan pengecekan tambahan.
Data di Nozzle Pad :
Tebal 1/4” & lebar 1-1/2” , berada pada nodal 40
Case # 10
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Jika bebannya berlebih, dilakukan penambahan flexibilitas pada :
Vessel/Nozzle intersection (Cara 1, cara ini lebih murah)
Jika belum berhasil juga, dilakukan redesign pada sistem sehingga
bebannya turun yaitu dengan menambahkan expansion loops ke sistem
pipa. (Cara 2, cara ini lebih mahal dilakukan jika cara 1 juga gagal)
Pump With Discharge Loads
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Step 1 : Mengecek Static Output Processing dari Case # 9
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Step 2 : dari main menu CAESAR II masuk ke API 610 analisis
diketik deskripsi
equipment
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Nomor nodal untuk pump
base point dan pump
suction nozzle : 1 & 105berurutan.
Step 3 : Memasukkan Input Data
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Step 4 : Memasukkan data Suction Nozzle
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Step 5 : masukkan Data Discharge Nozzle
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Step 6 : Lakukan analisis dengan EQP toolbar to perform the API-610 equipment
check. The results will become available under the Equipment Report tab.
Data dari get load
from output file Cek
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WRC 297 Input
Displacement on Vessel Node
Step 7 : Lakukan Analisis Fleksibilitas dengan Cara 1
Masukkan input data ke Nosel dengan menggunakan tipe WRC 297
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Step 8 : lakukan pengecekan error
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Displacement Report
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Step 9 : Masukkan input API 610 Discharge Nozzle
Akibat momen pada arah sumbu x dan z masih terlalu besar, quick run pada
API 610 akan mengevaluasi dan memperbaiki model yang ada
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Step 10 : Dengan cara 1 juga masih gagal, lakukan cara 2 untuk penambahan
fleksibilitas dengan melakukan REDESIGN pada sistem.
Buka file Tutor._A dan save dengan nama baru Tutor2._A
Lakukan redesign dari sistem :
Untuk panjang element 30-35 dari 12 ft menjadi 20 ft
Pindahakan + Y Support dari nodal 35 ke nodal 33
“Break” nodal 30 – 35 dengan manambahkan nodal 32 ditengahnya, jarak
nodal 30 ke 32 adalah 10 ft
“Break nodal 35-40 dengan menambahkan nodal 135, jarak nodal 135
dari 35 adalah 8 ft.
Kemudian insert nodal selanjutnya 235 dengan jarak 8 ft dari nodal 135,
karena jarak antara nodal 35 dan 40 : 26 ft, perlu ditambahkan support
diantaranya, insert nodal 140 antara 135-235 yang berjarak 5 ft dari 135.
Duplikasikan + Y Support nodal 33 pada nodal 140.
Ganti posisi hanger ke nodal 28
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Step 11 : Start Run & lakukan analisis staticsHanger di nodal 28
Plot 3 D
Stress Report
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C # 11
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Case # 11
Gambar 3.1. Menunjukkan pipeline yang menghubungkan
dua buah nozle (A & H). Pipa mempunyai diameternominal 12 in, berisi air dan mempunyai tebal isolasi 4,5 in,
belokannya long radius dan semua valvenya 150 psi
pressure rating gate valve. Tentukan letak-letak penumpu
dan hitunglah bebannya.
Kondisi Operasi & pembebanan
Material : Low Carbon
Nozzle A, Out. Dia =12.750 in, Wall Thickness =0.375
Vezzle A, Out. Dia = 60 in, Wall Thickness =0.250, Pad Thickness =0.188
Distance to Stiffner or Head =48 in, Distance to Opposite Stiffner =72 inRigid Weight (Valve) = 1170 lb
Bend (Standard)
Restraint C (arah Y), D & E (arah X,Y,Y) Stif = 1000000 lb/in, H (arah X)
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Gambar 3.1
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Volume Plot
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Cek Nozzle (Node 5)
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Cek Nozzle (Node 5) : WRC 297
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Cek Nozzle (Node 5)
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Cek Nozzle (Node 75) : WRC 297
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Analysis ….
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Displacement Report
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Stress Report
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CASE #12Gambar 5.11 menunjukkan sistem pipadengan diameter nominal pipa 8 in Sch. 80 dan
tebal isolasi 2 in. Sistem pipa tersebut terkenaangin dengan kecepatan maksimu 75 mpharah utara-selatan. Tentukan beban yangditerima oleh restrain C, E, dan H pada arah
x.
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Chapter XII Case Studies
K di i i d b b
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Kondisi operasi dan pembebanan :
- Fluida dengan specific gravity 0.8, temperatur operasi, dan
tekanan 30 psi
- Restrain yang ada pada titik H, E, C, digunakan untuk mencegah
sistem pipa bertranslasi dalam arah x+
- Isolasi type calcium cilicate sepanjang pipa dengan tebal 2 in
- Corrosion allowance 0.0312
- Bahan pipa : A 106 B
- Elbow yang digunakan tidak memiliki flens dan cara
pemasangannya adalah dilas
- Kecepatan angin dianggap konstan 75 mph pada arah yang tetap
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Step 1 : piping input
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Step 2 : Error checker :
No Error
Message
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Step 3 : Mendefinisikan Beban Angin
Beban Angin
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Step 4 : Analisis Statik
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Step 5 : View Report
Gaya-gaya
tumpuan :
-Fc = 505 lb
- FE = 548 lb
- FH = 86 lb
Chapter XII Case Studies
Case #13 :
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Case #13 :Pipa dengan tumpuan jepit, menerima gaya relief 1500 lb padapercabangan pipa yang berjarak 17 ft dari tumpuan A. Akibat gayarelief tersebut, pipa juga menerima momen 3000 lb ft. Tentukanresultan reaksi di restraint.
Kondisi Operasi & Pembebanan :
Pipa berdiameter 8 in dengan schedule standard (40), terbuatdari material A106 (B)
Tipe percabangan tipe menggunakan : Welding Tee
Pada percabangan pipa panjang setiap element sebelumberbelok : 2 ft
Chapter XII Case Studies
S 1 M kk d
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Step 1 : Masukkan data
input
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Step 2 : Lakukan pengecekan Error
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Step 2 : Lakukan pengecekan Error
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Step 3 : Lakukan Analisis Statics
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C # 14
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Case # 14
Sistem yang terlihat pada Gambar 5.26 terbuat dari baja karbon
dan beriperasi pada 3500F (1770C). Sistem tersebutmenggunakan pipa berdiameter 12 in (300 mm) schedulestandar dengan I = 279 in4 (1.16 x 108 mm4) dan E = 27.7 x 106psi (1.91 x 1011 N/m2). Sistem diberi tumpuan jangkar(anchors) pada titik A dan G, dan dua tumpuan vertkal pada
titik D dan E.Tentukan :
1. Pergeseran yang diserap oleh segmen A-B, B-C, dan E-F
2. Gaya dan momen yang diterima oleh segmen A-B, B-C, dan E-F
3. Gaya dan momen pada tumpuan A
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Gambar 5.26
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Volume Plot
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Volume Plot
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Displacement Report
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Displacement Report
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Local Force Report
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Local Force Report
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Restraint Report
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Restraint Report
Chapter XII Case Studies
C St di #15 St t l St l
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Case Studies #15: Structural Steel
Tentukanlah defleksi dan tegangan struktur penumpu pipa
seperti ditunjukkan pada gambar. Sistem perpipaan ditumpupada nodal 20.
Dari pipe stress analisis
diketahui gaya reaksitumpuan pada nodal 20
adalah
• F x = -39.0 lbs.
• F y = -1975.0 lbs.
• F z = 1350.0 lbs.
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S 1 M N
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Step 1 : Menu utama New
Nama File
Lokasi File
Tipe File Input
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St 2 M t I t St t l St l
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Step 2 : Menu utama Input Structural Steel
Pilih Sistem Unit:
ENGLISH
MM
SI
Chapter XII Case Studies
St 3 M k d t
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Step 3 : Masukan data
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St 4 C k E
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Step 4 : Cek Error
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Step 5 : Plot Gambar (Volume Plot)
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Step 5 : Plot Gambar (Volume Plot)
Anchor
Nomor Node
Chapter XII Case Studies
Step 6 : Analysis - Static
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Step 6 : Analysis - Static
Gaya berat + Beban Luar
Run...
Chapter XII Case Studies
Step 7 : Report type - Displacement
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Step 7 : Report type Displacement
Stiffness
Chapter XII Case Studies
Case Studies #16: Structural Steel
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Perancangan tumpuan untuk membatasi beban nozzle pada “waste
heat boiler’s fuel gas nozzle connection”. Beban maksimum padanozzle yang diijinkan adalah :
• Fshear = 500 lb. Faxial = 1500 lb.
• Mbending= 5000 ft. lb. Mtorsion = 10000 ft. lb.
Case Studies #16: Structural Steel
Chapter XII Case Studies
Piping Dimensions
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Piping Dimensions
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Structure Dimensions
Structure Node
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Step 1 - Step 2 (seperti contoh 1 : nama file SUP2)
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Step 3 : Masukan data
Step 1 Step 2 (seperti contoh 1 : nama file SUP2)
Step 4 : Cek Error (lihat contoh 1)
Chapter XII Case Studies
Step 5 : Plot Struktur (Volume plot)
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Volume plot
Anchor
Nomor
Node
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Piping Input
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Piping Input
Step 1 : Menu utama
New
Chapter XII Case Studies
Step 2 : Menu utama Input Piping Input
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Step 2 : Menu utama Input Piping Input
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Step 3 : Piping Input (DATA)
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Step 3 : Piping Input (DATA)
dan selanjutnya…. (lihat lampiran)
Chapter XII Case Studies
Step 4 : Plot Piping (Volume plot)
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Step 4 : Plot Piping (Volume plot)
Node
Panjang Elemen
Anchor
Restraint
Chapter XII Case Studies
Step 5 : Cek Error
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Step 5 : Cek Error
Pilih Start Batch Run
Chapter XII Case Studies
Proses Penggabungan Pipa dengan Struktur
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Proses Penggabungan Pipa dengan Struktur
Step 1: Piping Input -Kaux-Include Structural Files
Nama File Support
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Step 2 :
Mendefinisikan nodal yangberhubungan antara piping & support
Contoh
Node 115 (Piping)
node 215 (support)arah X dan arah Z
Node 120 (Piping) node 240 (support)
arah Z
Chapter XII Case Studies
Step 3 : Plot Pipa dengan Support
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p p g pp
Chapter XII Case Studies
Step 4 : Animation
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Plot perpindahan bidang X-Y (Pipa)
p
Plot perpindahan
bidang X-Y (Struktur)
Chapter XII Case Studies
Case Studies #17: Structural Steel
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Estimate the X, Y, and Z
stiffness of the structure at thepoint 1000. (Note that, in
general, the stiffness of a three-
dimensional structure,
condensed down to the stiffnessof a single point, must be
represented by a 6..6 stiffness
matrix. As a first estimate, only
the on diagonal, translational
stiffnesses are often estimated,as is being done here.)
Case Studies #17: Structural Steel
Chapter XII Case Studies
Step 1 : Menu utama - New
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Nama File
Lokasi File
Tipe File Input
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Step 2 : Input - Structural Steel
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Pilih Sistem Unit:
ENGLISH
MM
SI
Chapter XII Case Studies
Step 3 : Masukan data
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p
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Step 4 : Cek Error
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p
Chapter XII Case Studies
Step 4 : Plot - Volume plot
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p p
Chapter XII Case Studies
Step 5 : Report type - Displacement
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Chapter XII Case Studies
Step 6 : Report type - Restraint
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Chapter XII Case Studies
Step 6 : Report type - Animation
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Chapter XII Case Studies
Case Studies #18: Harmonic Analysis
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The following model is to be analyzed first for natural frequencies
and second for harmonic loads imposed on the top of the structure
at nodes 8 and 13.
Member Properties:
Pipe Outside Diameter:2.375 in.
Pipe Wall Thickness:
0.154 in.
Elastic Modulus:
27.9E+06 psi
Poisson’s Ratio: 0.3
Chapter XII Case Studies
Step 1 : Setelah memasukkan data “piping input” sampai tahap
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analisis statik, maka selanjutnya masuk ke menu Dinamik
Dari Menu utama :
Analysis - Dynamic
Pilih tipe
Chapter XII Case Studies
Step 2 : Ubah “Control Parameter” sebagai berikut :
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Cek Error
Running Dynamic…
Chapter XII Case Studies
Lalu muncul menu…
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Akhirnya menu…
Chapter XII Case Studies
Step 3 : Lihat animasi pada frekuensi pribadi pertama (111.2355 Hz)
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Chapter XII Case Studies
Step 4 : Lihat animasi pada frekuensi pribadi kedua (115.8 Hz)
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Chapter XII Case Studies
Step 5 : Lihat animasi pada frekuensi pribadi ketiga (137.17 Hz)
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Chapter XII Case Studies
Step 6 : Lihat animasi pada frekuensi pribadi keempat (215.8 Hz)
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Chapter XII Case Studies
Step 7 : Lihat animasi pada frekuensi pribadi kelima (404.27 Hz)
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Chapter XII Case Studies
Step 4 : Analisis Dinamik dari Sistem ini …
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Misalkan motor dengan frekuensi 120 Hz bekerja
pada struktur pipa
Note :
frek. Operasi diantara dua
frek. Pribadi (115 - 137 Hz)
Chapter XII Case Studies
Step 5 : Lihat animasi (frek. Gangguan 120 Hz)
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Chapter XII Case Studies
Case Studies #19: Relief Valve Loads
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Data :
Chapter XII Case Studies
Nodal
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Chapter XII Case Studies
Panjang Elemen
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j g
Chapter XII Case Studies
Dynamic Input
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Analysis - Dynamics
Chapter XII Case Studies Membuat data spektrum
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Chapter XII Case Studies
Force set
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Force set
Spectrum
Definition
Chapter XII Case Studies
Static/Dynamic
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Combination
Control
Parameter
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Mass Participation Report
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Chapter XII Case Studies
Displacement Report
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Chapter XII Case Studies
Restraint Report
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Chapter XII Case Studies
Stress Report
The maximum stress at node 5 is 1486 psi. The stress at node 5 due only to mode #1
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was 1288 psi.
The maximum stress at node 40 on the 40-50 element is 5864 psi. The stress at node
40 due to mode #4 was 3982 psi. Mode #4 was the largest contributor to the stress at
node 40.
Chapter XII Case Studies
Restraint Report (Combination… )
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Chapter XII Case Studies
Stress Report (Combination… )
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Chapter XII Case Studies
Case Studies #20: Dynamic Analysis of Water Hammer Loads
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PROBLEM: The cooling water supply line shown as follows suffers a
pressure surge when the turbine driven pump drops offlinedue to a bearing temperature problem. The elbow at node
45 is observed to “jump” 6 to 8 in. in the “X” direction
when the turbine trip occurs.
Design an alternative support scheme to eliminate the large field
displacements associated with the turbine trip.
Fluid Properties: 250 psi @ 140°F
Flow Velocity: 6 fps Water Bulk Modulus: 313000 psi
Chapter XII Case Studies
Layout : Dynamic Analysis of Water Hammer Loads (HAMMER)
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Chapter XII Case Studies
Step 1 : Membuat Files DLF Spectrum (45 -75)
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Setelah membuat file data sampai
dengan analisa statik, selanjutnya
melakukan input dinamik
Click disini, lalu…
Chapter XII Case Studies
Step 2 : Create table (data 45 - 75)
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Step 3 : Dengan cara yang sama, Create table (data 90 - 110)
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Step 4 : Next we define the Spectrum
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Step 5 : Then we define the force set
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Step 6 : Three Spectrum load cases :
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Step 7 : Three Static/Dynamics Combination :
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Step 8 : Control parameter
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Step 8 : Mass Participation Report
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Step 9 : Displacement Report
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Case # 11
Water Hammer dapat menyebabkan pipa pecah dan proses pada perpipaan menjadi
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terhenti. Karena itu pada sistem perpipaan perlu diperhitungkan penyebab water
hammer dan pada daerah mana saja pada sistem perpipaan yang mempunyaikemungkinan terjadinya beban dinamis jenis ini. Analisis water hammer
menggunakan Time History.
Kondisi Operasi & Pembebanan :
Fluida kerja dengan massa jenis 1 Kg/m3, dengan temperatur operasi 25 0Cpada tekanan 7 Kg./sq.cm
Material pipa dari bahan : (305)API-5L B
Semua percabangan menggunakan : Welding-Tee
Fenomena water hammer terjadi pada saat Katup di nodal 170 ditutup, gaya
tekan yang terjadi : 27000 N pada arah sumbu-x.
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Step 1 : Masukkan data input (Data Terlampir)
Langkah pengerjaan :
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Plot - 3D
Step 2 : Plot 3D
Step 3 : Lakukan pengecekan error
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Step 4 : Lakukan analisis Statis
Keluaran “Stress” Akibat pembabenan pada Load Case 1
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Step 5 : Masukkan data dinamik
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a. Time History Definitions :
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b. Force Sets
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Untuk mencari Force gaya tumbukan akibat proses Water
hammer pemodelannya menggunakan software : Flow Master
(Tidak dibahas lebih lanjut pada kesempatan ini)
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c. Time History Load Cases
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d. Static/Dynamic Combination
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d. Static/Dynamic Combination
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e. Control Parameter
U t k L d M d S bb di k k
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Untuk Lumped Masses dan Snubber di kosongkan semuanya.
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f. Advanced
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g. Spektrum
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Step 6 : Pengecekan Input Dinamik
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Keluaran Frekuensi Pribadi, ada 26 buah
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Keluaran Stress on Elements akibat Load Cases : (OCC) Maximum Response
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“ Sistem perpipaan yang dialiri oleh gas alam didesign sesuai dengan Code
Case #16
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p p p y g g g g
ASME B31.3, mengalami kegagalan dalam pengoperasiannya. Akan dianalisis
apakah dengan pemodelan di CAESAR II memang terjadi kegagalan sesuaidengan keadaan sebenarnya dilapangan”
Kondisi Operasi & Pembebanan :
Fluida kerja yang mengalir melalui pipa adalah gas hidrokarbon dengan massa jenis : 0Kg/m3, temperatur operasi : 100 0C = 212 F
Material Pipa dari bahan A106-B, dengan corrosion allowance 1.587 mm
Diameter pipa yang dipakai adalah 4, 8 & 10 in, sedang schedule pipa yang
dipergunakan adalah 40 dan 80.
Katup yang digunakan adalah klas #150 dan #600, dengan End Tipe : FLG (semua)
Tekanan rancang : 20 Kg/cm2 = 284.4669 lb/in2, cold base temperature : 20 0C = 68 F.
Pada nodal 2570-2580 adalah katup dengan rigid weight : 70 kg = 154.3234 lb
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Pada saat pemasukan input untuk Valve terjadi perubahan panjang element, untuk saat iniperubahan tersebut dilewatkan saja, sebab pada kondisi perancangan di Industri, setiap katupmemiliki manual masing-masing dengan masukan yang bervariasi dimana nilai rigidweightnya dimasukkan secara manual sesuai dengan katalog yang diberikan oleh vendor. Jikarigid weight dimasukkan secara manual tidak akan terjadi perubahan panjang element
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Penomoran nodal :
rigid weight dimasukkan secara manual tidak akan terjadi perubahan panjang element.
Stopper dianggap sebagai restraint pada arah sumbu - x
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4. VESSEL, TOWER AND TANK
Keterangan Simbol :
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1. PUMP , COMPRESSOR AND FAN
M
D
FREE DRAINING LINE
GRAVITY FLOW LINE
SLOPED LINE
B
J
2. DRIVER
5. MISCELLANEOUS EQUIPMENT
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Step 1 : masukkan data masukan
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Plot 3D
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Step 2 : Lakukan pengecekan Error
Step 3 : Lakukan Analisis Statics
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p
Stress Report