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ANALISIS STRUKTUR DENGANANALISIS STRUKTUR DENGANMETODE MATRIK KEKAKUANMETODE MATRIK KEKAKUAN
ANALISIS STRUKTUR DENGANANALISIS STRUKTUR DENGANMETODE MATRIK KEKAKUANMETODE MATRIK KEKAKUAN
Oleh : PRIMA YANE PUTRI, MTOleh : PRIMA YANE PUTRI, MT
PERTEMUAN - 1
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STRUKTUR??? Suatu sistem yang mengambil tempat
dalam ruang, dengan komponen atau
bagian yang memiliki ukuran tertentukompleks
Struktur dimodelkan
Lebih sederhana
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TIPE-TIPE STRUKTUR Berdasarkan kegunaan sistem
Struktur jembatan, tangki, gedung, bendungan, atau pesawatudara
Berdasarkan derajat ketidaktentuannya Struktur statis tertentu Struktur statis tak tentu
Berdasarkan fungsi sistem menerima beban luar Struktur kerangka
Mis : Balok Menerus, Portal Bidang, Portal Ruang, RangkaBatang Bidang, Rangka Batang Ruang, Grid Struktur kontinum
Mis : Pelat, cangkang, tangki
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Balok menerus
RB Bidang
Tangki
RB Ruang
Dome
Portal bidang Portal ruang
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Petronas Towers, Kuala LumpurCompleted in 1998, the Petronas Towers, inKuala Lumpur, Malaysia, stand 452 m (1,483
ft) tall at their pinnacles. The towers areconnected by a skyway at the 41st and42nd floors. The architect, ArgentineAmerican Cesar Pelli, found inspiration forthe buildings design in traditionalMalaysian Islamic architecture.
Sydney Opera House, AustraliaThe shell-shaped Sydney Opera House is one of themost famous pieces of modern architecture in the
world. It was designed by Jrn Utzon and completedin 1973. Sydney is the capital of New South Wales,which is located on the southeastern coast ofAustralia. Sydney is the largest city in Australia andthe countrys cultural center.
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Astoria BridgeConstructed of continuous trusses, this interstate
bridge over the meandering Columbia River connectsAstoria, Oregon, to Megler, Washington. The bridgewas named for Fort Astor, a fur-trading postestablished in 1811 by John Jacob Astor's PacificFur Company.
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Yokohama Bay BridgeThe 860-meter (2,822-foot) Yokohama BayBridge crosses part of Tokyo Bay. The cable-stayed bridge reflects the modern characterof the city of Yokohama, which was almostcompletely rebuilt after an earthquake causedwidespread destruction in 1923. The city isnow an industrial center and leading seaportfor Japan.
Golden Gate Bridge, San FranciscoThe Golden Gate Bridge links the city of SanFrancisco with Marin County to the north. Thesuspension bridge was opened in 1937 andsince then has been one of the principallandmarks of both San Francisco andCalifornia
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Saint Peters Basilica, RomeIn 1506 architect Donato Bramante, undercommission from Pope Julius II, designed SaintPeters, located in Vatican City, within the city ofRome. Bramante died before completing thechurch, so Florentine artist Michelangelo assumedthe supervisory role in 1546. Michelangelos
innovative design for the enormous ribbed domeof Saint Peters influenced dome design andconstruction for the next 300 years. The dome,which was completed after the death ofMichelangelo, preserves the essential elements ofhis design but is taller and more elongated than heplanned.
Geodesic DomeThis geodesic dome was built for the UnitedStates pavilion at Expo 67, the worlds fair inMontral, Canada. Geodesic domes have nointernal supports, making them ideal structuresfor holding large groups of people. They aremade up of standardized, interlocking shapes
that can be assembled and taken apart quickly.
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STRUKTURANALISIS STRUKTUR
Reaksi tumpuan (V, H, M).Gaya-gaya dalam (M, L, N, T)Displacement (translasi, rotasi)
DESAIN
MANUAL
(M.Matrik, Takabeya, Cross, dll)
SOFTWARE APLIKASI
(SAP, ETABS, SANS, dll)
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JOIN & DERAJAT KEBEBASAN Joint : titik kumpul yang
menghubungkan antara elemen, danmerupakan titik pada struktur yang
displacement-nya diketahui atau akandihitung.
Komponen displacement pada joint :translasi dan rotasi
Jumlah displacement bebas derajadkebebasan atau DOF (Degree ofFreedom).
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Penentuan Jumlah derajat
kebebasan StrukturNX = 3NJ 3NFJ 2NPJ NR
Dimana :
NJ = jumlah total titik kumpul (termasukperletakan)
NFJ = jumlah titik yang sifatnya JEPIT
NPJ = jumlah titik yang sifatnya SENDI
NR = jumlah titik yang sifatnya ROL
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Contoh :
1
2 3
4
5
6 7 8 9 10
11 12
13
1 2 3 4
7
6
11108 9
5
12 13
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KOORDINAT GLOBAL Koordinat dalam tiga dimensi,
mengikuti aturan tangan kanan (right
handed), dan merupakan koordinatCartesian (segi-empat).
Tiga sumbu dengan notasi X, Y, dan Z
ialah sumbu yang saling tegak lurussesuai dengan aturan tangan kanan.
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KOORDINAT LOKAL Digunakan untuk menentukan potongan
property, beban dan gaya-gaya keluaran.
Sumbu-sumbunya dinyatakan dengansimbol 1,2 dan 3. Sumbu 1 arahnya searah sumbu elemen,
dua sumbu yang lain tegak lurus dengan
elemen tersebut dan arahnya dapatditentukan sendiri oleh pengguna.
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