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Structural Analysis-2

by Jntu HeroesJntu Heroes
Type: NoteInstitute: Jawaharlal nehru technological university anantapur college of engineering Offline Downloads: 226Views: 5478Uploaded: 11 months ago

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Jntu Heroes
Draft DRAFT Lecture Notes in: STRUCTURAL ENGINEERING Analysis and Design
Draft 3 PREFACE Whereas there are numerous excellent textbooks covering Structural Analysis, or Structural Design, I felt that there was a need for a single reference which • Provides a succinct, yet rigorous, coverage of Structural Engineering. • Combines, as much as possible, Analysis with Design. • Presents numerous, carefully selected, example problems. in a properly type set document. As such, and given the reluctance of undergraduate students to go through extensive verbage in order to capture a key concept, I have opted for an unusual format, one in which each key idea is clearly distinguishable. In addition, such a format will hopefully foster group learning among students who can easily reference misunderstood points. Finally, whereas all problems have been taken from a variety of references, I have been very careful in not only properly selecting them, but also in enhancing their solution through appropriate figures and LATEX typesetting macros. Victor Saouma Structural Engineering
Draft Contents I ANALYSIS 29 1 A BRIEF HISTORY OF STRUCTURAL ARCHITECTURE 1.1 Before the Greeks . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Greeks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Romans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.4 The Medieval Period (477-1492) . . . . . . . . . . . . . . . . . . . 1.5 The Renaissance . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.5.1 Leonardo da Vinci 1452-1519 . . . . . . . . . . . . . . . . 1.5.2 Brunelleschi 1377-1446 . . . . . . . . . . . . . . . . . . . . 1.5.3 Alberti 1404-1472 . . . . . . . . . . . . . . . . . . . . . . 1.5.4 Palladio 1508-1580 . . . . . . . . . . . . . . . . . . . . . . 1.5.5 Stevin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.5.6 Galileo 1564-1642 . . . . . . . . . . . . . . . . . . . . . . . 1.6 Pre Modern Period, Seventeenth Century . . . . . . . . . . . . . 1.6.1 Hooke, 1635-1703 . . . . . . . . . . . . . . . . . . . . . . . 1.6.2 Newton, 1642-1727 . . . . . . . . . . . . . . . . . . . . . . 1.6.3 Bernoulli Family 1654-1782 . . . . . . . . . . . . . . . . . 1.6.4 Euler 1707-1783 . . . . . . . . . . . . . . . . . . . . . . . 1.7 The pre-Modern Period; Coulomb and Navier . . . . . . . . . . . 1.8 The Modern Period (1857-Present) . . . . . . . . . . . . . . . . . 1.8.1 Structures/Mechanics . . . . . . . . . . . . . . . . . . . . 1.8.2 Eiffel Tower . . . . . . . . . . . . . . . . . . . . . . . . . . 1.8.3 Sullivan 1856-1924 . . . . . . . . . . . . . . . . . . . . . . 1.8.4 Roebling, 1806-1869 . . . . . . . . . . . . . . . . . . . . . 1.8.5 Maillart . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.8.6 Nervi, 1891-1979 . . . . . . . . . . . . . . . . . . . . . . . 1.8.7 Khan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.8.8 et al. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 31 31 33 34 36 36 37 38 38 40 40 42 42 43 45 45 47 48 48 48 48 49 49 50 50 51 2 INTRODUCTION 2.1 Structural Engineering . . . . . . . 2.2 Structures and their Surroundings 2.3 Architecture & Engineering . . . . 2.4 Architectural Design Process . . . 2.5 Architectural Design . . . . . . . . 2.6 Structural Analysis . . . . . . . . . 2.7 Structural Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 55 55 56 56 56 57 57 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Draft CONTENTS 7 6 INTERNAL FORCES IN STRUCTURES 6.1 Design Sign Conventions . . . . . . . . . . . . . . . . . . . . . 6.2 Load, Shear, Moment Relations . . . . . . . . . . . . . . . . . 6.3 Moment Envelope . . . . . . . . . . . . . . . . . . . . . . . . 6.4 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6.4.1 Beams . . . . . . . . . . . . . . . . . . . . . . . . . . . E 6-1 Simple Shear and Moment Diagram . . . . . . . . . . E 6-2 Sketches of Shear and Moment Diagrams . . . . . . . 6.4.2 Frames . . . . . . . . . . . . . . . . . . . . . . . . . . E 6-3 Frame Shear and Moment Diagram . . . . . . . . . . . E 6-4 Frame Shear and Moment Diagram; Hydrostatic Load E 6-5 Shear Moment Diagrams for Frame . . . . . . . . . . . E 6-6 Shear Moment Diagrams for Inclined Frame . . . . . . 6.4.3 3D Frame . . . . . . . . . . . . . . . . . . . . . . . . . E 6-7 3D Frame . . . . . . . . . . . . . . . . . . . . . . . . . 6.5 Arches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 113 115 116 117 117 117 119 120 120 123 125 127 127 127 130 7 ARCHES and CURVED STRUCTURES 7.1 Arches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.1.1 Statically Determinate . . . . . . . . . . . . . . . . . . . . . . . . . . E 7-1 Three Hinged Arch, Point Loads. (Gerstle 1974) . . . . . . . . . . . E 7-2 Semi-Circular Arch, (Gerstle 1974) . . . . . . . . . . . . . . . . . . . 7.1.2 Statically Indeterminate . . . . . . . . . . . . . . . . . . . . . . . . . E 7-3 Statically Indeterminate Arch, (Kinney 1957) . . . . . . . . . . . . . 7.2 Curved Space Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . E 7-4 Semi-Circular Box Girder, (Gerstle 1974) . . . . . . . . . . . . . . . 7.2.1 Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.2.1.1 Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.2.1.2 Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . E 7-5 Internal Forces in an Helicoidal Cantilevered Girder, (Gerstle 1974) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 131 134 134 135 137 137 140 140 142 142 143 144 8 DEFLECTION of STRUCTRES; Geometric Methods 8.1 Flexural Deformation . . . . . . . . . . . . . . . . . . . 8.1.1 Curvature Equation . . . . . . . . . . . . . . . . 8.1.2 Differential Equation of the Elastic Curve . . . . 8.1.3 Moment Temperature Curvature Relation . . . . 8.2 Flexural Deformations . . . . . . . . . . . . . . . . . . . 8.2.1 Direct Integration Method . . . . . . . . . . . . . E 8-1 Double Integration . . . . . . . . . . . . . . . . . 8.2.2 Curvature Area Method (Moment Area) . . . . . 8.2.2.1 First Moment Area Theorem . . . . . . 8.2.2.2 Second Moment Area Theorem . . . . . E 8-2 Moment Area, Cantilevered Beam . . . . . . . . E 8-3 Moment Area, Simply Supported Beam . . . . . 8.2.2.3 Maximum Deflection . . . . . . . . . . E 8-4 Maximum Deflection . . . . . . . . . . . . . . . . E 8-5 Frame Deflection . . . . . . . . . . . . . . . . . . E 8-6 Frame Subjected to Temperature Loading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 149 149 151 152 152 152 152 154 154 154 157 157 159 159 161 162 Victor Saouma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Structural Engineering

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