Semen Portland2

8/7/2019 Semen Portland2

1/17

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


2/17

STRUKTUR??? Suatu sistem yang mengambil tempat

dalam ruang, dengan komponen atau

bagian yang memiliki ukuran tertentukompleks

Struktur dimodelkan

Lebih sederhana


3/17

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


4/17

Balok menerus

RB Bidang

Tangki

RB Ruang

Dome

Portal bidang Portal ruang


5/17


6/17

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.


7/17

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.


8/17

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


9/17

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.


10/17

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)


11/17

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).


12/17


13/17

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


14/17

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


15/17

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.


16/17

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.


17/17

Documents

Semen Portland2