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01A - ASST 2010 Dasar2, Introduct

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Analisis Struktur Statis tertentu 1. Dasar-dasar
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STRUCTURAL ANALYSIS STRUCTURAL ANALYSIS WHAT IS A STRUCTURE ? Structure Æ system consist of a series of connected parts. Example: Building Bridge Tower Dam Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo Fakultas Teknik, Universitas Gadjahmada Program S1 01B-01a INTRODUCTION Parts or Elements of Structures
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  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    WHAT IS A STRUCTURE ?

    Structure system consist of a series of connected parts.

    Example: BuildingBridgeTowerDam

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-01a

    INTRODUCTION

    Parts or Elementsof Structures

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-01b

    INTRODUCTION

    Struktur pada bangunan2 Teknik Sipil seringkali mengadopsi ataumeniru sistim struktur dari alam.Misalnya:1. Rangka tubuh manusia2. Struktur pohon3. Sarang laba-laba4. Cangkang kerang

    STRUCTURES IN THE NATURE

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-01c

    INTRODUCTION

    STRUCTURES IN THE NATURE

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Parts or Elementsof Structures

    Column (Kolom)

    Slab (Plat lantai)

    Beam (Balok)

    Foundation (Fondasi)

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-02

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    FUNCTION OF STRUCTUREThe basic function of any structure is to support loads andtransmit them to the ground.

    Building:The building structure supports the roof, floors, walls and their loads and transmit them through the foundation to the ground.

    Structure

    Foundation

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-03

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    FUNCTION OF STRUCTUREBridge:The bridge structure supports a deck which allows the passage of pedestrians and vehicles, than transmit all of these loads (incl. selfweight of the bridge) through piers, abutments and foundations to the ground.

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-04

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    FUNCTION OF STRUCTURE

    Other structures carry other types of loads:

    Dam Water Retaining Wall Earth

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-05

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    DESIGN PROCEDURE OF CIV. ENG. STRUCTURE

    General Process:

    INPUT PROCESS OUTPUT

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-06

    Data:geometri bangunan,

    beban, bahan dll.

    Proses hitungan:analisis beban, analisis struktur,

    perancangan elemenGambar2,

    RKS/Spec., RAB

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    DESIGN PROCEDURE OF CIV.ENG. STRUCTUREPengumpulan Data:- Fungsi Bangunan- Ukuran/Geom. Struktur- Bahan Bangunan- Peraturan2 / Standard2- Keadaan Tanah & Lingk.

    Modelisasi:Struktur Riil Model Struktur

    Analisis Beban; Perkiraan Dimensi Elemen2 Str

    Analisis Struktur Perancangan Elemen2 Struktur

    Kontrol Kapasitas & Tegangan

    pada Elemen2 Str.

    PelaksanaanPekerjaan Struktur

    Tidak !

    Gambar Detail Struktur

    Ya!

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-07

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    ROLE OF STRUCTURAL ANALYSIS IN THE DESIGN OF CIV. ENG. STRUCTURE

    Analisis Struktur bukan merupakan tahapan akhir dalam proses perancangan.

    Analisis Struktur merupakan `alat yang digunakan untuk mendukung proses perancangan.

    Analisis Struktur membantu perancang struktur dalam membuatkeputusan2 penting dalam proses perancangan.

    INTRODUCTION

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-08

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    OBJECTIVES OF STRUCTURAL ANALYSIS

    INTRODUCTION

    To obtain effects of the loading supported by the structure:

    1. Distribution of internal forces

    2. Deformation of the structure

    LOAD

    REACTION REACTION

    Internal Forces= Deformation

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-09

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    STRUCTURAL REQUIREMENTS:

    INTRODUCTION

    1. Strengh

    2. Stiffness

    ------------------

    3. Durability

    4. Economic

    5. Aesthetic

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-10

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    STRUCTURAL FORMS

    INTRODUCTION

    The decision as to the form of a structure rests with the structural designer and is governed by: - the purpose for which the structure is required, - the materials that are to be used and - any aesthetic considerations that may apply.

    Structures, for construction and analysis purposes, are divided into a number of structural elements, although an element ofone structure may, in another situation, form a complete structure in its own right.

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-11

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    STRUCTURAL FORMS

    INTRODUCTION

    ... in its own right.

    For example, a beam may support afoot-path across a stream,

    or...

    beam as a part of a large framework

    Simple beam

    Building frame

    beam

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-12

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    STRUCTURAL FORMS

    INTRODUCTION

    Beam

    Beam

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-13

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    As spans increase, the use of beams to support bridge decks becomes uneconomical. For moderately large spans, trusses may be used. Trusses carry loads by developing axial forces in their members, and their depth, for the same span and load, is larger than that of a beam but, because of the skeletal nature of their construction, will be lighter.

    For example:the Warren truss shown is typical of thoseused in bridge construction;other geometries form roof supportsand also carry bridge decks.

    Truss

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-14

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    STRUCTURAL FORMS

    Truss

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-15

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Portal frames are commonly used in building construction and generally comprise arrangements of beams and columns.

    Portal

    beam

    column

    rigid joint

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-16

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Portal

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-17

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    The use of trusses to support bridge decks becomes impracticable for longer than moderate spans. In this Situation arches are often used.

    Bridge Deck

    ArchColumn

    Bridge Deck

    ArchHanger

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-18

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Arch

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-19

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    For exceptionally long-span bridges, and sometimes for shortspans, cables are used to support the bridge deck. Generally, the cables pass over saddles on the tops of towers and are fixed ateach end within the ground by massive anchor blocks. The cablescarry hangers from which the bridge deck is suspended

    STRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-20

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Cable Structure Suspension BridgeSTRUCTURAL FORMS

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-21

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Other structural forms include:

    - plate and slabs, which are used as floors in buildings, as raft foundations and as bridge decks,

    - and continuum structures which include shells, folded plate roofs, arch dams, etc.;

    Generally, continuum structures require computer-based methodsof analysis.

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-22

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    SUPPORT SYSTEMINTRODUCTION

    The loads applied to a structure are transferred to its foundations by its supports. In practice supports may be complex, in which case they are idealized into a form that may readily be analysed.

    PIN SUPPORT (tumpuan sendi):Thus a support that: - allows rotation, but

    - prevents translation

    in practice: represented for analysis purposes by the idealizedform:

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-23

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Tumpuan sendi dapat menahan gaya horisontal dan vertikal,tetapi tidak dapat menahan momen.

    TUMPUAN SENDI

    RV

    RH

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-24

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    TUMPUAN SENDI

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-25

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    TUMPUAN SENDI

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-26

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    ROLLER SUPPORT (tumpuan rol):Thus a support that: - allows rotation, but

    - prevents translation in direction perpendi-cular to its bearing plate

    in practice: represented for analysis purposes by the idealizedform:

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-27

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    TUMPUAN ROL

    Tumpuan rol hanya dapat menahan gaya tegak lurus pada bidang tumpunya, dan tidak dapat menahan momen

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-28

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    FIX SUPPORT (tumpuan jepit):Thus a support that: - prevents translation and rotation in all

    directions

    in practice: represented for analysis purposes by the idealizedform:

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-29

    Str. Baja

    Str. Beton

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    TUMPUAN JEPIT

    Tumpuan jepit dapat menahan gaya vertikal maupun horisontal dan dapat menahan momen

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-30

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    TUMPUAN JEPIT

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-31

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    Resume:Support conditionsand itscharacteristics

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-32

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    STRUCTURAL IDEALIZATIONGenerally, structures are complex and must be idealized or sirnplified into a form that can be analysed.

    INTRODUCTION

    This building can be idealized as 2D as well as 3D frame:

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-33

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSISINTRODUCTION

    This bridge structure can be idealized as 2D as well as 3D truss:

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-34

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    UNIT SYSTEMWe use the SI Unit

    INTRODUCTION

    Lenght Force Mass Temperatur Time

    Meter (m) Newton (N) kilogram (kg) Celcius (C) Second

    Jurusan Teknik Sipil ANALISIS TRUKTUR STATIS TERTENTU Dr.-Ing. Ir. Djoko Sulistyo

    Fakultas Teknik, Universitas Gadjahmada Program S1 01B-35

  • STRUCTURAL ANALYSISSTRUCTURAL ANALYSIS

    Static equilibrium


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