EDP Sciences 1778685122 20260513 fre

laboutique.edpsciences.fr-R002565 03 01 01 R002565 00 ED E107 00 01 01 Structural Analysis 01 eng 08 440 03 22 30581877 17 01 P15 EDP Sciences & Science Press 01 01 P15 EDP Sciences & Science Press 11 00 20231212 02 01 002652 03 9782759831913 15 9782759831913 03 01 D1 EDP Sciences 45 03 laboutique.edpsciences.fr-002652 03 01 01 002652 03 9782759831913 15 9782759831913 10 EA E107 10 00 01 R002565 ED E107 1 10 01 02 Textbooks for Tomorrow's Scientists Textbooks for Tomorrow’s Scientists introduces advanced textbooks on a wide range of topics in STM subject areas. These books offer students, researchers, faculty and professionals the resources they need to learn and succeed in graduate courses. 01 01 Structural Analysis 1 A01 01 A2223 Dixiong YANG YANG, Dixiong Dixiong YANG Dixiong YANG is a Professor of Engineering Mechanics at Dalian University of Technology, China. In 2004, he received a Ph.D. degree in mechanics from the Dalian University of Technology. His research interests involve the seismic design and vibration-reduction of engineering structures, structural optimization, random vibration and reliability analysis, and computational mechanics. He achieved the second-class award of the National Science and Technology Progress Prize in 2017, and the first-class award of the Natural Science Prize for the Ministry of Education in 2013. He taught the structural analysis course for 18 years and achieved several awards for outstanding teaching at the Dalian University of Technology. He has published over 130 peer-reviewed journal papers and 3 books. He is also the deputy editor of the third edition of the engineering mechanics branch for the civil engineering discipline of Encyclopedia of China and a member of the random vibration committee of the China Society of Vibration Engineering, the International Society of Structural and Multidisciplinary Optimization, and the International Association of Computational Mechanics 2 A01 01 A2224 Junfeng GU GU, Junfeng Junfeng GU Junfeng GU is an Associate Professor of Engineering Mechanics at Dalian University of Technology, China. He received a Ph.D. degree in mechanics from the Dalian University of Technology in 2009. Dr. Gu has devoted himself to the study of theory, simulation, and optimization during advanced molding and service of polymer and composite materials. His main research directions include structural optimization, polymer molding process optimization, polymer service behavior, medical polymer interface behavior, and intelligent optimization algorithm. He has published more than 50 academic journal papers and taught the structural analysis course for 8 years. 3 A01 01 A2225 Lei YANG YANG, Lei Lei YANG Lei YANG is an Associate Professor of Aerospace Engineering at Dalian University of Technology, China. In 2014, he received a Ph.D. degree in flight vehicle design from Beihang University, China. From 2017 to 2019, he worked as a visiting scholar at the University of Nebraska-Lincoln, USA. His research interests involve the design of aircraft structures, mechanics of composite materials, and computational mechanics. He achieved the Young Elite Scientists Sponsorship Program by China Association for Science and Technology in 2017. Dr. Yang has published over 30 peer-reviewed journal papers and taught the structural analysis course for 7 years. He is a member of the Youth Working Committee of the Chinese Society of Composite Materials. 4 A01 01 A2226 Jingjie CHEN CHEN, Jingjie Jingjie CHEN Jingjie CHEN is an Associate Professor of Naval Architecture and Ocean Engineering at Dalian University of Technology, China. In 2011, she received a Ph.D. degree in design and manufacture of ships and marine structures from the Dalian University of Technology. Her research interests involve the strength, fatigue, and fracture of ship and marine engineering structures, ice ship collision, and the damaged structural ultimate strength analysis in polar regions. Dr. Chen taught the structural analysis course for 8 years and achieved one award for outstanding teaching at the Dalian University of Technology. She has published over 30 peerreviewed journal papers and one book. 5 A01 01 A2227 Xiaofei HU HU, Xiaofei Xiaofei HU Xiaofei HU is an Associate Professor of Engineering Mechanics at Dalian University of Technology, China. He received a Ph.D. degree in mechanics from the Dalian University of Technology in 2012. From 2013 to 2015, he worked as a senior engineer at Schlumberger in Beijing for developing and maintaining a finite element program package “IDEAS”. From 2015 to 2017, he moved to the National University of Singapore and worked as a research fellow under the supervision of Professor Tong Earn Tay. His study in Singapore focused on the modelling of the progressive failure in composite laminates using the extended finite element method. From 2017 to now, Dr. Hu moved back to the Dalian University of Technology. So far, he has published more than 50 journal papers and 1 book. He taught the structural analysis course for 6 years. 01 eng 08 438 03 01 24 Izibook:Subject Ingénierie 24 Izibook:SubjectAndCategoryAndTags |Ingénierie| 20 Structural Analysis;Undergraduate;Students;Engineering Majors;Beams;Trusses;Frames;Arches;Composite Structures;Buildings;Bridges;Flight Vehicles;Kinematic Method;Influence Line Construction;Engineering Applications;Innovative Talents;Historical Context 10 2011 TEC063000 01 620 05 06 06 03 00 <blockquote>Structural Analysis is a basic course for undergraduate students with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, naval architecture and ocean engineering etc., and is also an introductory course for undergraduates to learn and master the analysis and design of beam, truss, frame, arch and composite structures for buildings, bridges and flight vehicles and so on. This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures, principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. Main features of this textbook lie in: (1) strengthened the interestingness and readability, and increased brief introduction on the developmental history of structural analysis and the important figures; (2) adopted the kinematic method to construct exactly and rapidly the influence lines of forces of statically indeterminate structures proposed by the author, and highlighted the energy principles and methods; (3) increased introducing the backgrounds of engineering applications; (4) from the viewpoints of history, methodology, aesthetic appreciation and creative thinking, inspected structural analysis and strived to cultivate the innovative talents. This book is designed to serve as a textbook for students in fields such as civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, and ocean engineering, as well as a helpful reference for engineers and professionals in related fields. </blockquote> <blockquote>Structural Analysis is a basic course for undergraduate students with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, naval architecture and ocean engineering etc., and is also an introductory course for undergraduates to learn and master the analysis and design of beam, truss, frame, arch and composite structures for buildings, bridges and flight vehicles and so on. This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures, principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. Main features of this textbook lie in: (1) strengthened the interestingness and readability, and increased brief introduction on the developmental history of structural analysis and the important figures; (2) adopted the kinematic method to construct exactly and rapidly the influence lines of forces of statically indeterminate structures proposed by the author, and highlighted the energy principles and methods; (3) increased introducing the backgrounds of engineering applications; (4) from the viewpoints of history, methodology, aesthetic appreciation and creative thinking, inspected structural analysis and strived to cultivate the innovative talents The present book emphasizes fundamental theories, concepts, computational methods and engineering applications of structural analysis. It can be used as a textbook for undergraduates with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, and ocean engineering etc., while being a helpful reference for engineers and professionals in the relevant fields.</blockquote> 02 00 This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures,principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures,principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. 04 00 Brief Introduction to the Book................................... III<o:p></o:p>About the Authors............................................ V<o:p></o:p>Preface..................................................... VII<o:p></o:p>Notations................................................... XV<o:p></o:p>CHAPTER 1<o:p></o:p>Introduction................................................. 1<o:p></o:p>1.1 Research Object and Tasks of Structural Analysis................ 2<o:p></o:p>1.1.1 Research Object.................................... 2<o:p></o:p>1.1.2 Tasks............................................ 3<o:p></o:p>1.2 Computational Models of Structures.......................... 4<o:p></o:p>1.2.1 Simplification of Structural Systems..................... 5<o:p></o:p>1.2.2 Simplification of Members............................ 5<o:p></o:p>1.2.3 Simplification of Joints............................... 6<o:p></o:p>1.2.4 Simplification of the Supports......................... 7<o:p></o:p>1.2.5 Simplification of Material Properties..................... 8<o:p></o:p>1.2.6 Simplification of Loads............................... 8<o:p></o:p>1.3 Classification of Member Structures and Loads .................. 10<o:p></o:p>1.3.1 Classification of Member Structures..................... 10<o:p></o:p>1.3.2 Classification of Loads............................... 11<o:p></o:p>1.4 A Brief History of the Development of Structural Analysis ......... 12<o:p></o:p>1.4.1 Energy Principles and Energy Methods.................. 13<o:p></o:p>1.4.2 Force Method and Displacement Method................. 15<o:p></o:p>1.4.3 Matrix Displacement Method and Finite Element Method .... 18<o:p></o:p>1.5 A Brief Introduction to Important Figuresin Structural Analysis .... 20<o:p></o:p>CHAPTER 2<o:p></o:p>Kinematic Analysis of Plane Member Systems....................... 27<o:p></o:p>2.1 Several Concepts of Kinematic Analysis....................... 28<o:p></o:p>2.1.1 Degree of Freedom and Constraint...................... 28<o:p></o:p>2.1.2 Instantaneously Changeable System and Constantly Changeable System................................. 302.1.3 Instantaneous Hinge................................. 31<o:p></o:p>2.2 Basic Construction Rules of Plane Geometrically Unchangeable Systems............................................... 322.2.1 The Rule of Pin-Joined Member System.................. 32<o:p></o:p>2.2.2 The Rule of Two Rigid Discs.......................... 33<o:p></o:p>2.2.3 The Rule of Three Rigid Discs......................... 34<o:p></o:p>2.3 Computational Degree of Freedom of Plane Member Systems ....... 39<o:p></o:p>2.3.1 Computational Degree of Freedom of Rigid Disc System ...... 40<o:p></o:p>2.3.2 Computational Degree of Freedom of the Hinged System ..... 42<o:p></o:p>2.3.3 Computational Degree of Freedom of the Mixed System ...... 44<o:p></o:p>2.4 Geometrical Stability and Static Determinacy of Systems .......... 45<o:p></o:p>Problems................................................... 46<o:p></o:p>CHAPTER 3<o:p></o:p>Analysis of Statically Determinate Structures........................ 49<o:p></o:p>3.1 Single-Span Statically Determinate Beams..................... 50<o:p></o:p>3.1.1 Single-Span Statically Determinate Beamsand Internal Forces........................................... 503.1.2 Relations Between Loads and Internal Forces .............. 52<o:p></o:p>3.1.3 Method of Segmental Superposition..................... 54<o:p></o:p>3.2 Multi-Span Statically Determinate Beams...................... 57<o:p></o:p>3.3 Statically Determinate Plane Trusses......................... 62<o:p></o:p>3.3.1 Characteristics and Classification of Trusses ............... 62<o:p></o:p>3.3.2 Method of Joints................................... 64<o:p></o:p>3.3.3 Method of Sections.................................. 67<o:p></o:p>3.3.4 Combined Application of the Method of Joints<o:p></o:p>and the Method of Sections........................... 69<o:p></o:p>3.4 Statically Determinate Plane Frames.......................... 71<o:p></o:p>3.4.1 Characteristics of Frames............................. 71<o:p></o:p>3.4.2 Calculation of Support Reactions....................... 71<o:p></o:p>3.4.3 Internal Force Analysis and DrawingInternal Force Diagram of Frames.................................. 753.4.4 Quick Drawing of Moment Diagrams of Statically Determinate Frames................................. 843.5 Statically Determine Composite Structures..................... 86<o:p></o:p>3.6 Three-Hinged Arches..................................... 92<o:p></o:p>3.6.1 Support Reactions and Internal Force Calculation of Three-Hinged Arches.............................. 933.6.2 Rational Axes of Three-Hinged Arches................... 99<o:p></o:p>3.7 General Properties of Statically Determinate Structures ........... 104<o:p></o:p>Problems................................................... 106<o:p></o:p>CHAPTER 4<o:p></o:p>Principle of Virtual Work and Deflection Calculation .................. 113<o:p></o:p>4.1 Overview of Deflection Calculation........................... 113<o:p></o:p>4.1.1 Concept of Structural Displacements.................... 113<o:p></o:p>4.1.2 Purpose of Deflection Calculation....................... 115<o:p></o:p>4.2 Principle of Virtual Work for Deformable Structures .............. 116<o:p></o:p>4.2.1 Principle of Virtual Work for Rigid Body System ........... 116<o:p></o:p>4.2.2 Application Conditions of Principle of Virtual Work for Deformable Structures............................ 1164.2.3 Virtual Work Equation for Deformable Structures .......... 119<o:p></o:p>4.2.4 Principle of Virtual Forces and Principle of Virtual Displacements..................................... 1224.3 Unit-Load Method for Structural Deflection Calculation ........... 124<o:p></o:p>4.4 Deflection Calculation under Loads........................... 127<o:p></o:p>4.4.1 Formula for Deflection Calculation under Loads ............ 127<o:p></o:p>4.4.2 Deflection Formulas for Various Structures ................ 128<o:p></o:p>4.4.3 Examples of Deflection Calculation under Loads............ 130<o:p></o:p>4.5 Graph Multiplication Method............................... 136<o:p></o:p>4.5.1 Graph Multiplication Method and Its Application Conditions. . 136<o:p></o:p>4.5.2 Several Specific Problems of Applying Graph Multiplication Method.......................................... 1374.5.3 Examples of Graph Multiplication Method................ 140<o:p></o:p>4.6 Deflection Calculation under Temperature Change ............... 143<o:p></o:p>4.7 Reciprocal Theorems of Linearly Elastic Structures ............... 146<o:p></o:p>4.7.1 Theorem of Reciprocal Works.......................... 146<o:p></o:p>4.7.2 Theorem of Reciprocal Displacements.................... 148<o:p></o:p>4.7.3 Theorem of Reciprocal Reactions....................... 149<o:p></o:p>4.7.4 Theorem of Reciprocal Displacement-Reaction ............. 150<o:p></o:p>Problems................................................... 151<o:p></o:p>CHAPTER 5<o:p></o:p>Force Method................................................ 157<o:p></o:p>5.1 Determination of Degree of Static Indeterminacy ................ 158<o:p></o:p>5.1.1 Equilibrium and Geometric Construction Characteristics of Statically Indeterminate Structures.................... 1585.1.2 Determination of Degree of Indeterminacy and Number of Redundant Constraint Forces........................ 1595.2 Fundamental Concept of the Force Method..................... 161<o:p></o:p>5.2.1 Primary Unknowns, Primary System, and Basic Equations of Force Method.................................... 1615.2.2 Analysis of Structures with Multiple Degrees of Indeterminacy by Force Method................................... 1655.2.3 Canonical Equations of Force Method................... 1675.3 Analysis of Statically Indeterminate Framesand Bent Structures .... 169<o:p></o:p>5.4 Analysis of Statically Indeterminate Trusses and Composite Structures.............................................. 1775.5 Analysis of Symmetric Structures and Half Structures............. 182<o:p></o:p>5.5.1 Selection of Symmetric Primary System.................. 184<o:p></o:p>5.5.2 Determination of Half Structure in Terms of Symmetry ...... 188<o:p></o:p>5.6 Two-Hinged and Hingeless Arches............................ 193<o:p></o:p>5.6.1 Solving Two-Hinged Arch by the Force Method ............ 194<o:p></o:p>5.6.2 Solving Hingeless Arch by the Force Method .............. 200<o:p></o:p>5.7 Internal Force Analysis of Structures under Support Movement or Temperature Change................................... 2045.7.1 Support Movement.................................. 204<o:p></o:p>5.7.2 Temperature Change................................ 208<o:p></o:p>5.8 Deflection Computation of Statically Indeterminate Structures ...... 210<o:p></o:p>5.9 Check for Calculated Results of Statically Indeterminate Structures . . 215<o:p></o:p>5.9.1 Check of Equilibrium Conditions....................... 216<o:p></o:p>5.9.2 Check of Deformation Conditions....................... 217<o:p></o:p>Problems................................................... 218<o:p></o:p>CHAPTER 6<o:p></o:p>Displacement Method.......................................... 223<o:p></o:p>6.1 Fundamental Concept of the Displacement Method ............... 224<o:p></o:p>6.1.1 A Simple Example of Displacement Method............... 224<o:p></o:p>6.1.2 Primary Unknowns and Basic Equations of Displacement Method.............................. 2276.1.3 Basic Idea of Calculating Frame Structures by Displacement Method............................. 2286.1.4 Determination of Primary Unknowns of Displacement Method . 229<o:p></o:p>6.2 Slope-Deflection Equation of Prismatic Member ................. 232<o:p></o:p>6.2.1 Calculating Member-End Internal Forces from Member-End Displacements..................................... 2346.2.2 Calculating Fixed-End Internal Forces from Loads .......... 238<o:p></o:p>6.3 Analysis of Frames Without Sidesway......................... 241<o:p></o:p>6.3.1 Selection of Primary Unknowns........................ 241<o:p></o:p>6.3.2 Establishment of Basic Equations....................... 241<o:p></o:p>6.4 Analysis of Frames with Sidesway............................ 245<o:p></o:p>6.5 Analysis of Symmetric Structures............................ 253<o:p></o:p>6.6 Primary System in the Displacement Method................... 256<o:p></o:p>6.6.1 Primary System of the Displacement Method.............. 257<o:p></o:p>6.6.2 Basic Equations of the Displacement Method .............. 258<o:p></o:p>6.6.3 Process of Establishing the Basic Equations of the Displacement Method........................... 2606.6.4 Canonical Equations of Displacement Method ............. 262<o:p></o:p>6.7 Principle of Potential Energy and Displacement Method ........... 264<o:p></o:p>6.7.1 Principle of Stationary Potential Energy.................. 2646.7.2 Linear Elastic Strain Energy of Prismatic Member .......... 266<o:p></o:p>6.7.3 Principle of Potential Energy and Equilibrium Equation of Displacement Method.............................. 2676.8 Rayleigh–Ritz Method.................................... 272<o:p></o:p>6.9 Moment-Distribution Method and No-Shear Distribution Method .... 274<o:p></o:p>6.9.1 Basic Principle of the Moment-Distribution Method ......... 275<o:p></o:p>6.9.2 Computation of Continuous Beams and Frames Without<o:p></o:p>Sidesway Using the Moment-Distribution Method.......... 280<o:p></o:p>6.9.3 No-Shear Distribution Method......................... 286<o:p></o:p>6.10 Characteristics of Statically Indeterminate Structures ............. 292<o:p></o:p>Problems................................................... 294<o:p></o:p>CHAPTER 7<o:p></o:p>Influence Lines for Structures under Moving Loads .................... 301<o:p></o:p>7.1 Concepts of Moving Load and Influence Line................... 302<o:p></o:p>7.2 Equilibrium Method for Constructing Influence Lines of Simply Supported Beams........................................ 3047.3 Influence Lines for Girders and Trusses........................ 309<o:p></o:p>7.3.1 Influence Lines for Internal Forces of Girders .............. 309<o:p></o:p>7.3.2 Influence Lines for Axial Forces of Trusses ................ 311<o:p></o:p>7.4 Kinematic Method for Constructing Influence Lines of Statically Determinate Structures.................................... 3157.5 Applications of Influence Lines.............................. 321<o:p></o:p>7.5.1 Responses Due to Various Kinds of Loads................ 322<o:p></o:p>7.5.2 Most Unfavorable Position of Moving Loads............... 324<o:p></o:p>7.5.3 Determination of Critical Position forPolygonal Influence Line............................................. 3267.5.4 Determination of Critical Position for Triangle Influence Line . . 330<o:p></o:p>7.6 Kinematic Method for Constructing Influence Lines of Statically<o:p></o:p>Indeterminate Beams..................................... 333<o:p></o:p>Problems................................................... 341<o:p></o:p>CHAPTER 8<o:p></o:p>Matrix Displacement Methods................................... 345<o:p></o:p>8.1 Fundamental Principle of the Matrix Displacement Method ........ 346<o:p></o:p>8.2 Elemental Stiffness Matrix................................. 347<o:p></o:p>8.2.1 Elemental Stiffness Matrix in Local Coordinate System ...... 348<o:p></o:p>8.2.2 Properties of Elemental Stiffness Matrix.................. 350<o:p></o:p>8.3 Coordinate Transformation of Elemental Stiffness Matrix .......... 351<o:p></o:p>8.3.1 Elemental Stiffness Matrix in the Global Coordinate System ... 351<o:p></o:p>8.3.2 Elemental Stiffness Matrix of Continuous Beam ............ 355<o:p></o:p>8.3.3 Elemental Stiffness Matrix of Axial Force Bar.............. 357<o:p></o:p>8.4 Global Stiffness Matrix of Structure.......................... 360<o:p></o:p>8.4.1 Element and Node Numberings........................ 3608.4.2 Direct Stiffness Method for Assembling Global Stiffness Matrix........................................... 3628.4.3 Imposing Support Conditions.......................... 364<o:p></o:p>8.4.4 Properties of Global Stiffness Matrix.................... 365<o:p></o:p>8.4.5 Treatment of Pinned Joints........................... 366<o:p></o:p>8.5 Equivalent Nodal Loads................................... 366<o:p></o:p>8.5.1 Basic Equation of Matrix Displacement Method ............ 366<o:p></o:p>8.5.2 Equivalent Nodal Loads of Elements.................... 367<o:p></o:p>8.5.3 Equivalent Nodal Loads of Structure.................... 369<o:p></o:p>8.6 Computational Procedures and Examples...................... 372<o:p></o:p>8.6.1 Example of Truss Analysis............................ 373<o:p></o:p>8.6.2 Example of Frame Structure........................... 378<o:p></o:p>8.6.3 Example of Composite Structure....................... 384<o:p></o:p>8.6.4 Matrix Displacement Method for Rectangular Frame Neglecting Axial Deformation.......................... 388Problems................................................... 391<o:p></o:p>Bibliography................................................. 397<o:p></o:p>Appendix A1. Answers to Problems............................... 399<o:p></o:p>Appendix A2. Index........................................... 407<o:p></o:p>Appendix A3. Matlab Program Codes of the Matrix Displacement Method for Plane Structural Analysis......................... 409 Brief Introduction to the Book................................... III<o:p></o:p>About the Authors............................................ V<o:p></o:p>Preface..................................................... VII<o:p></o:p>Notations................................................... XV<o:p></o:p>CHAPTER 1<o:p></o:p>Introduction................................................. 1<o:p></o:p>1.1 Research Object and Tasks of StructuralAnalysis................ 2<o:p></o:p>1.1.1 Research Object.................................... 2<o:p></o:p>1.1.2 Tasks............................................ 3<o:p></o:p>1.2 Computational Models of Structures.......................... 4<o:p></o:p>1.2.1 Simplification of Structural Systems..................... 5<o:p></o:p>1.2.2 Simplification of Members............................ 5<o:p></o:p>1.2.3 Simplification of Joints............................... 6<o:p></o:p>1.2.4 Simplification of the Supports......................... 7<o:p></o:p>1.2.5 Simplification of MaterialProperties..................... 8<o:p></o:p>1.2.6 Simplification of Loads............................... 8<o:p></o:p>1.3 Classification of Member Structures andLoads .................. 10<o:p></o:p>1.3.1 Classification of Member Structures..................... 10<o:p></o:p>1.3.2 Classification of Loads............................... 11<o:p></o:p>1.4 A Brief History of the Development ofStructural Analysis ......... 12<o:p></o:p>1.4.1 Energy Principles and Energy Methods.................. 13<o:p></o:p>1.4.2 Force Method and Displacement Method................. 15<o:p></o:p>1.4.3 Matrix Displacement Method and FiniteElement Method .... 18<o:p></o:p>1.5 A Brief Introduction to Important Figuresin Structural Analysis .... 20<o:p></o:p>CHAPTER 2<o:p></o:p>Kinematic Analysis of Plane Member Systems....................... 27<o:p></o:p>2.1 Several Concepts of Kinematic Analysis....................... 28<o:p></o:p>2.1.1 Degree of Freedom and Constraint...................... 28<o:p></o:p>2.1.2 Instantaneously Changeable System and Constantly Changeable System................................. 302.1.3 Instantaneous Hinge................................. 31<o:p></o:p>2.2 Basic Construction Rules of Plane Geometrically Unchangeable Systems............................................... 322.2.1 The Rule of Pin-Joined Member System.................. 32<o:p></o:p>2.2.2 The Rule of Two Rigid Discs.......................... 33<o:p></o:p>2.2.3 The Rule of Three Rigid Discs......................... 34<o:p></o:p>2.3 Computational Degree of Freedom of PlaneMember Systems ....... 39<o:p></o:p>2.3.1 Computational Degree of Freedom of RigidDisc System ...... 40<o:p></o:p>2.3.2 Computational Degree of Freedom of theHinged System ..... 42<o:p></o:p>2.3.3 Computational Degree of Freedom of theMixed System ...... 44<o:p></o:p>2.4 Geometrical Stability and StaticDeterminacy of Systems .......... 45<o:p></o:p>Problems................................................... 46<o:p></o:p>CHAPTER 3<o:p></o:p>Analysis of Statically Determinate Structures........................ 49<o:p></o:p>3.1 Single-Span Statically Determinate Beams..................... 50<o:p></o:p>3.1.1 Single-Span Statically Determinate Beamsand Internal Forces........................................... 503.1.2 Relations Between Loads and InternalForces .............. 52<o:p></o:p>3.1.3 Method of Segmental Superposition..................... 54<o:p></o:p>3.2 Multi-Span Statically Determinate Beams...................... 57<o:p></o:p>3.3 Statically Determinate Plane Trusses......................... 62<o:p></o:p>3.3.1 Characteristics and Classification ofTrusses ............... 62<o:p></o:p>3.3.2 Method of Joints................................... 64<o:p></o:p>3.3.3 Method ofSections.................................. 67<o:p></o:p>3.3.4 Combined Application of the Method ofJoints and the Method of Sections........................... 693.4 Statically Determinate PlaneFrames.......................... 71<o:p></o:p>3.4.1 Characteristics of Frames............................. 71<o:p></o:p>3.4.2 Calculation of Support Reactions....................... 71<o:p></o:p>3.4.3 Internal Force Analysis and DrawingInternal Force Diagram of Frames.................................. 753.4.4 Quick Drawing of Moment Diagrams ofStatically Determinate Frames................................. 843.5 Statically Determine Composite Structures..................... 86<o:p></o:p>3.6 Three-Hinged Arches..................................... 92<o:p></o:p>3.6.1 Support Reactions and Internal ForceCalculation of Three-Hinged Arches.............................. 933.6.2 Rational Axes of Three-Hinged Arches................... 99<o:p></o:p>3.7 General Properties of Statically Determinate Structures ........... 104<o:p></o:p>Problems................................................... 106<o:p></o:p>CHAPTER 4<o:p></o:p>Principle of Virtual Work and Deflectio Calculation .................. 113<o:p></o:p>4.1 Overview of Deflection Calculation........................... 113<o:p></o:p>4.1.1 Concept of Structural Displacements.................... 113<o:p></o:p>4.1.2 Purpose of Deflection Calculation....................... 115<o:p></o:p>4.2 Principle of Virtual Work for Deformable Structures .............. 116<o:p></o:p>4.2.1 Principle of Virtual Work for Rigid Body System ........... 116<o:p></o:p>4.2.2 Application Conditions of Principle of Virtual Work<o:p></o:p>for Deformable Structures............................ 116<o:p></o:p>4.2.3 Virtual Work Equation for DeformableStructures .......... 119<o:p></o:p>4.2.4 Principle of Virtual Forces and Principleof Virtual Displacements..................................... 1224.3 Unit-Load Method for Structural Deflection Calculation ........... 124<o:p></o:p>4.4 Deflection Calculation under Loads........................... 127<o:p></o:p>4.4.1 Formula for Deflection Calculation underLoads ............ 127<o:p></o:p>4.4.2 Deflection Formulas for Various Structures ................ 128<o:p></o:p>4.4.3 Examples of Deflection Calculation underLoads............ 130<o:p></o:p>4.5 Graph Multiplication Method............................... 136<o:p></o:p>4.5.1 Graph Multiplication Method and ItsApplication Conditions. . 136<o:p></o:p>4.5.2 Several Specific Problems of ApplyingGraph Multiplication Method.......................................... 1374.5.3 Examples of Graph Multiplication Method................ 140<o:p></o:p>4.6 Deflection Calculation under Temperature Change ............... 143<o:p></o:p>4.7 Reciprocal Theorems of Linearly Elastic Structures ............... 146<o:p></o:p>4.7.1 Theorem of Reciprocal Works.......................... 146<o:p></o:p>4.7.2 Theorem of Reciprocal Displacements.................... 148<o:p></o:p>4.7.3 Theorem of Reciprocal Reactions....................... 149<o:p></o:p>4.7.4 Theorem of Reciprocal Displacement-Reaction ............. 150<o:p></o:p>Problems................................................... 151<o:p></o:p>CHAPTER 5<o:p></o:p>Force Method................................................ 157<o:p></o:p>5.1 Determination of Degree of Static Indeterminacy ................ 158<o:p></o:p>5.1.1 Equilibrium and Geometric Construction Characteristics of Statically Indeterminate Structures.................... 1585.1.2 Determination of Degree of Indeterminacy and Number of Redundant Constraint Forces........................ 1595.2 Fundamental Concept of the Force Method..................... 161<o:p></o:p>5.2.1 Primary Unknowns, Primary System, andBasic Equations of Force Method.................................... 1615.2.2 Analysis of Structures with MultipleDegrees of Indeterminacy by Force Method................................... 1655.2.3 Canonical Equations of Force Method................... 1675.3 Analysis of Statically Indeterminate Framesand Bent Structures .... 169<o:p></o:p>5.4 Analysis of Statically IndeterminateTrusses and Composite Structures.............................................. 1775.5 Analysis of Symmetric Structures and Half Structures............. 182<o:p></o:p>5.5.1 Selection of Symmetric Primary System.................. 184<o:p></o:p>5.5.2 Determination of Half Structure in Termsof Symmetry ...... 188<o:p></o:p>5.6 Two-Hinged and HingelessArches............................ 193<o:p></o:p>5.6.1 Solving Two-Hinged Arch by the Force Method ............ 194<o:p></o:p>5.6.2 Solving Hingeless Arch by the Force Method .............. 200<o:p></o:p>5.7 Internal Force Analysis of Structures underSupport Movement or Temperature Change................................... 2045.7.1 Support Movement.................................. 204<o:p></o:p>5.7.2 Temperature Change................................ 208<o:p></o:p>5.8 Deflection Computation of StaticallyIndeterminate Structures ...... 210<o:p></o:p>5.9 Check for Calculated Results of StaticallyIndeterminate Structures . . 215<o:p></o:p>5.9.1 Check of Equilibrium Conditions....................... 216<o:p></o:p>5.9.2 Check of Deformation Conditions....................... 217<o:p></o:p>Problems................................................... 218<o:p></o:p>CHAPTER 6<o:p></o:p>Displacement Method.......................................... 223<o:p></o:p>6.1 Fundamental Concept of the Displacement Method ............... 224<o:p></o:p>6.1.1 A Simple Example of Displacement Method............... 224<o:p></o:p>6.1.2 Primary Unknowns and Basic Equations of Displacement Method.............................. 2276.1.3 Basic Idea of Calculating FrameStructures by Displacement Method............................. 2286.1.4 Determination of Primary Unknowns of Displacement Method . 229<o:p></o:p>6.2 Slope-Deflection Equation of Prismatic Member ................. 232<o:p></o:p>6.2.1 Calculating Member-End Internal Forcesfrom Member-End Displacements..................................... 2346.2.2 Calculating Fixed-End Internal Forces from Loads .......... 238<o:p></o:p>6.3 Analysis of Frames Without Sidesway......................... 241<o:p></o:p>6.3.1 Selection of Primary Unknowns........................ 241<o:p></o:p>6.3.2 Establishment of Basic Equations....................... 241<o:p></o:p>6.4 Analysis of Frames with Sidesway............................ 245<o:p></o:p>6.5 Analysis of Symmetric Structures............................ 253<o:p></o:p>6.6 Primary System in the Displacement Method................... 256<o:p></o:p>6.6.1 Primary System of the Displacement Method.............. 257<o:p></o:p>6.6.2 Basic Equations of the Displacement Method .............. 258<o:p></o:p>6.6.3 Process of Establishing the Basic Equations of the Displacement Method........................... 2606.6.4 Canonical Equations of Displacemen tMethod ............. 262<o:p></o:p>6.7 Principle of Potential Energy and Displacement Method ........... 264<o:p></o:p>6.7.1 Principle of Stationary Potential Energy.................. 2646.7.2 Linear Elastic Strain Energy of Prismatic Member .......... 266<o:p></o:p>6.7.3 Principle of Potential Energy and Equilibrium Equation<o:p></o:p>of Displacement Method.............................. 267<o:p></o:p>6.8 Rayleigh–Ritz Method.................................... 272<o:p></o:p>6.9 Moment-Distribution Method and No-Shear Distribution Method .... 274<o:p></o:p>6.9.1 Basic Principle of the Moment-Distribution Method ......... 275<o:p></o:p>6.9.2 Computation of Continuous Beams and Frames Without Sidesway Using the Moment-Distribution Method.......... 2806.9.3 No-Shear Distribution Method......................... 286<o:p></o:p>6.10 Characteristics of StaticallyIndeterminate Structures ............. 292<o:p></o:p>Problems................................................... 294<o:p></o:p>CHAPTER 7<o:p></o:p>Influence Lines for Structures under Moving Loads .................... 301<o:p></o:p>7.1 Concepts of Moving Load and Influence Line................... 302<o:p></o:p>7.2 Equilibrium Method for ConstructingInfluence Lines of Simply Supported Beams........................................ 3047.3 Influence Lines for Girders and Trusses........................ 309<o:p></o:p>7.3.1 Influence Lines for Internal Forces of Girders .............. 309<o:p></o:p>7.3.2 Influence Lines for Axial Forces of Trusses ................ 311<o:p></o:p>7.4 Kinematic Method for Constructing InfluenceLines of Statically Determinate Structures.................................... 3157.5 Applications of Influence Lines.............................. 321<o:p></o:p>7.5.1 Responses Due to Various Kinds of Loads................ 322<o:p></o:p>7.5.2 Most Unfavorable Position of Moving Loads............... 324<o:p></o:p>7.5.3 Determination of Critical Position forPolygonal Influence Line............................................. 3267.5.4 Determination of Critical Position forTriangle Influence Line . . 330<o:p></o:p>7.6 Kinematic Method for Constructing Influence Lines of Statically Indeterminate Beams..................................... 333Problems................................................... 341<o:p></o:p>CHAPTER 8<o:p></o:p>Matrix Displacement Methods................................... 345<o:p></o:p>8.1 Fundamental Principle of the MatrixDisplacement Method ........ 346<o:p></o:p>8.2 Elemental Stiffness Matrix................................. 347<o:p></o:p>8.2.1 Elemental Stiffness Matrix in LocalCoordinate System ...... 348<o:p></o:p>8.2.2 Properties of Elemental Stiffness Matrix.................. 350<o:p></o:p>8.3 Coordinate Transformation of ElementalStiffness Matrix .......... 351<o:p></o:p>8.3.1 Elemental Stiffness Matrix in the GlobalCoordinate System ... 351<o:p></o:p>8.3.2 Elemental Stiffness Matrix of ContinuousBeam ............ 355<o:p></o:p>8.3.3 Elemental Stiffness Matrix of Axial ForceBar.............. 357<o:p></o:p>8.4 Global Stiffness Matrix of Structure.......................... 360<o:p></o:p>8.4.1 Element and Node Numberings........................ 3608.4.2 Direct Stiffness Method for Assembling Global Stiffness Matrix........................................... 3628.4.3 Imposing Support Conditions.......................... 364<o:p></o:p>8.4.4 Properties of Global Stiffness Matrix.................... 365<o:p></o:p>8.4.5 Treatment of Pinned Joints........................... 366<o:p></o:p>8.5 Equivalent Nodal Loads................................... 366<o:p></o:p>8.5.1 Basic Equation of Matrix DisplacementMethod ............ 366<o:p></o:p>8.5.2 Equivalent Nodal Loads of Elements.................... 367<o:p></o:p>8.5.3 Equivalent Nodal Loads of Structure.................... 369<o:p></o:p>8.6 Computational Procedures and Examples...................... 372<o:p></o:p>8.6.1 Example of Truss Analysis............................ 373<o:p></o:p>8.6.2 Example of Frame Structure........................... 378<o:p></o:p>8.6.3 Example of Composite Structure....................... 384<o:p></o:p>8.6.4 Matrix Displacement Method forRectangular Frame<o:p></o:p>Neglecting Axial Deformation.......................... 388<o:p></o:p>Problems................................................... 391<o:p></o:p>Bibliography................................................. 397<o:p></o:p>Appendix A1. Answers to Problems............................... 399<o:p></o:p>Appendix A2. Index........................................... 407<o:p></o:p>Appendix A3. Matlab Program Codes of the MatrixDisplacement Method<o:p></o:p>for Plane Structural Analysis......................... 409<o:p></o:p> 21 00 06 01 https://laboutique.edpsciences.fr/produit/1381/9782759831913/structural-analysis 01 00 03 02 https://laboutique.edpsciences.fr/system/product_pictures/data/009/983/061/original/9782759831906-Structural_Analysis_couv-sofedis.jpg 17 14 20240913T172747+0200 01 P15 EDP Sciences & Science Press 01 01 P15 EDP Sciences & Science Press 04 11 00 20231212 01 00 20231212 19 00 20231212 2026 06 3052868830012 01 WORLD 13 03 9782759831906 15 9782759831906 06 03 9782759831920 15 9782759831920 WORLD 08 EDP Sciences & Science Press 04 01 00 20231212 03 01 D1 EDP Sciences 20 04 05 01 02 1 00 101.99 01 5.50 5.32 EUR 04 06 01 02 1 00 356.99 01 5.50 5.32 EUR 01 04 06 01 02 1 00 392.99 01 5.50 20.49 USD 01 laboutique.edpsciences.fr-002653 03 01 01 002653 03 9782759831920 15 9782759831920 10 EA 10 10 01 02 Textbooks for Tomorrow's Scientists Textbooks for Tomorrow’s Scientists introduces advanced textbooks on a wide range of topics in STM subject areas. These books offer students, researchers, faculty and professionals the resources they need to learn and succeed in graduate courses. 01 01 Structural Analysis 1 A01 01 A2223 Dixiong YANG YANG, Dixiong Dixiong YANG Dixiong YANG is a Professor of Engineering Mechanics at Dalian University of Technology, China. In 2004, he received a Ph.D. degree in mechanics from the Dalian University of Technology. His research interests involve the seismic design and vibration-reduction of engineering structures, structural optimization, random vibration and reliability analysis, and computational mechanics. He achieved the second-class award of the National Science and Technology Progress Prize in 2017, and the first-class award of the Natural Science Prize for the Ministry of Education in 2013. He taught the structural analysis course for 18 years and achieved several awards for outstanding teaching at the Dalian University of Technology. He has published over 130 peer-reviewed journal papers and 3 books. He is also the deputy editor of the third edition of the engineering mechanics branch for the civil engineering discipline of Encyclopedia of China and a member of the random vibration committee of the China Society of Vibration Engineering, the International Society of Structural and Multidisciplinary Optimization, and the International Association of Computational Mechanics 2 A01 01 A2224 Junfeng GU GU, Junfeng Junfeng GU Junfeng GU is an Associate Professor of Engineering Mechanics at Dalian University of Technology, China. He received a Ph.D. degree in mechanics from the Dalian University of Technology in 2009. Dr. Gu has devoted himself to the study of theory, simulation, and optimization during advanced molding and service of polymer and composite materials. His main research directions include structural optimization, polymer molding process optimization, polymer service behavior, medical polymer interface behavior, and intelligent optimization algorithm. He has published more than 50 academic journal papers and taught the structural analysis course for 8 years. 3 A01 01 A2225 Lei YANG YANG, Lei Lei YANG Lei YANG is an Associate Professor of Aerospace Engineering at Dalian University of Technology, China. In 2014, he received a Ph.D. degree in flight vehicle design from Beihang University, China. From 2017 to 2019, he worked as a visiting scholar at the University of Nebraska-Lincoln, USA. His research interests involve the design of aircraft structures, mechanics of composite materials, and computational mechanics. He achieved the Young Elite Scientists Sponsorship Program by China Association for Science and Technology in 2017. Dr. Yang has published over 30 peer-reviewed journal papers and taught the structural analysis course for 7 years. He is a member of the Youth Working Committee of the Chinese Society of Composite Materials. 4 A01 01 A2226 Jingjie CHEN CHEN, Jingjie Jingjie CHEN Jingjie CHEN is an Associate Professor of Naval Architecture and Ocean Engineering at Dalian University of Technology, China. In 2011, she received a Ph.D. degree in design and manufacture of ships and marine structures from the Dalian University of Technology. Her research interests involve the strength, fatigue, and fracture of ship and marine engineering structures, ice ship collision, and the damaged structural ultimate strength analysis in polar regions. Dr. Chen taught the structural analysis course for 8 years and achieved one award for outstanding teaching at the Dalian University of Technology. She has published over 30 peerreviewed journal papers and one book. 5 A01 01 A2227 Xiaofei HU HU, Xiaofei Xiaofei HU Xiaofei HU is an Associate Professor of Engineering Mechanics at Dalian University of Technology, China. He received a Ph.D. degree in mechanics from the Dalian University of Technology in 2012. From 2013 to 2015, he worked as a senior engineer at Schlumberger in Beijing for developing and maintaining a finite element program package “IDEAS”. From 2015 to 2017, he moved to the National University of Singapore and worked as a research fellow under the supervision of Professor Tong Earn Tay. His study in Singapore focused on the modelling of the progressive failure in composite laminates using the extended finite element method. From 2017 to now, Dr. Hu moved back to the Dalian University of Technology. So far, he has published more than 50 journal papers and 1 book. He taught the structural analysis course for 6 years. 01 eng 08 438 03 01 24 Izibook:Subject Ingénierie 24 Izibook:SubjectAndCategoryAndTags |Ingénierie| 20 Structural Analysis;Undergraduate;Students;Engineering Majors;Beams;Trusses;Frames;Arches;Composite Structures;Buildings;Bridges;Flight Vehicles;Kinematic Method;Influence Line Construction;Engineering Applications;Innovative Talents;Historical Context 10 2011 TEC063000 01 620 05 06 06 03 00 <blockquote>Structural Analysis is a basic course for undergraduate students with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, naval architecture and ocean engineering etc., and is also an introductory course for undergraduates to learn and master the analysis and design of beam, truss, frame, arch and composite structures for buildings, bridges and flight vehicles and so on. This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures, principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. Main features of this textbook lie in: (1) strengthened the interestingness and readability, and increased brief introduction on the developmental history of structural analysis and the important figures; (2) adopted the kinematic method to construct exactly and rapidly the influence lines of forces of statically indeterminate structures proposed by the author, and highlighted the energy principles and methods; (3) increased introducing the backgrounds of engineering applications; (4) from the viewpoints of history, methodology, aesthetic appreciation and creative thinking, inspected structural analysis and strived to cultivate the innovative talents. This book is designed to serve as a textbook for students in fields such as civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, and ocean engineering, as well as a helpful reference for engineers and professionals in related fields. </blockquote> <blockquote>Structural Analysis is a basic course for undergraduate students with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, naval architecture and ocean engineering etc., and is also an introductory course for undergraduates to learn and master the analysis and design of beam, truss, frame, arch and composite structures for buildings, bridges and flight vehicles and so on. This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures, principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. Main features of this textbook lie in: (1) strengthened the interestingness and readability, and increased brief introduction on the developmental history of structural analysis and the important figures; (2) adopted the kinematic method to construct exactly and rapidly the influence lines of forces of statically indeterminate structures proposed by the author, and highlighted the energy principles and methods; (3) increased introducing the backgrounds of engineering applications; (4) from the viewpoints of history, methodology, aesthetic appreciation and creative thinking, inspected structural analysis and strived to cultivate the innovative talents The present book emphasizes fundamental theories, concepts, computational methods and engineering applications of structural analysis. It can be used as a textbook for undergraduates with majors of civil engineering, engineering mechanics, flight vehicle design, mechanical engineering, and ocean engineering etc., while being a helpful reference for engineers and professionals in the relevant fields.</blockquote> 02 00 This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures,principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method This textbook includes eight chapters, and covers introduction, kinematic analysis of plane member systems, analysis of statically determinate structures,principle of virtual work and deflection calculation, force method, displacement method, influence lines of structures under moving loads, and matrix displacement method. 04 00 Brief Introduction to the Book................................... III<o:p></o:p>About the Authors............................................ V<o:p></o:p>Preface..................................................... VII<o:p></o:p>Notations................................................... XV<o:p></o:p>CHAPTER 1<o:p></o:p>Introduction................................................. 1<o:p></o:p>1.1 Research Object and Tasks of Structural Analysis................ 2<o:p></o:p>1.1.1 Research Object.................................... 2<o:p></o:p>1.1.2 Tasks............................................ 3<o:p></o:p>1.2 Computational Models of Structures.......................... 4<o:p></o:p>1.2.1 Simplification of Structural Systems..................... 5<o:p></o:p>1.2.2 Simplification of Members............................ 5<o:p></o:p>1.2.3 Simplification of Joints............................... 6<o:p></o:p>1.2.4 Simplification of the Supports......................... 7<o:p></o:p>1.2.5 Simplification of Material Properties..................... 8<o:p></o:p>1.2.6 Simplification of Loads............................... 8<o:p></o:p>1.3 Classification of Member Structures and Loads .................. 10<o:p></o:p>1.3.1 Classification of Member Structures..................... 10<o:p></o:p>1.3.2 Classification of Loads............................... 11<o:p></o:p>1.4 A Brief History of the Development of Structural Analysis ......... 12<o:p></o:p>1.4.1 Energy Principles and Energy Methods.................. 13<o:p></o:p>1.4.2 Force Method and Displacement Method................. 15<o:p></o:p>1.4.3 Matrix Displacement Method and Finite Element Method .... 18<o:p></o:p>1.5 A Brief Introduction to Important Figuresin Structural Analysis .... 20<o:p></o:p>CHAPTER 2<o:p></o:p>Kinematic Analysis of Plane Member Systems....................... 27<o:p></o:p>2.1 Several Concepts of Kinematic Analysis....................... 28<o:p></o:p>2.1.1 Degree of Freedom and Constraint...................... 28<o:p></o:p>2.1.2 Instantaneously Changeable System and Constantly Changeable System................................. 302.1.3 Instantaneous Hinge................................. 31<o:p></o:p>2.2 Basic Construction Rules of Plane Geometrically Unchangeable Systems............................................... 322.2.1 The Rule of Pin-Joined Member System.................. 32<o:p></o:p>2.2.2 The Rule of Two Rigid Discs.......................... 33<o:p></o:p>2.2.3 The Rule of Three Rigid Discs......................... 34<o:p></o:p>2.3 Computational Degree of Freedom of Plane Member Systems ....... 39<o:p></o:p>2.3.1 Computational Degree of Freedom of Rigid Disc System ...... 40<o:p></o:p>2.3.2 Computational Degree of Freedom of the Hinged System ..... 42<o:p></o:p>2.3.3 Computational Degree of Freedom of the Mixed System ...... 44<o:p></o:p>2.4 Geometrical Stability and Static Determinacy of Systems .......... 45<o:p></o:p>Problems................................................... 46<o:p></o:p>CHAPTER 3<o:p></o:p>Analysis of Statically Determinate Structures........................ 49<o:p></o:p>3.1 Single-Span Statically Determinate Beams..................... 50<o:p></o:p>3.1.1 Single-Span Statically Determinate Beamsand Internal Forces........................................... 503.1.2 Relations Between Loads and Internal Forces .............. 52<o:p></o:p>3.1.3 Method of Segmental Superposition..................... 54<o:p></o:p>3.2 Multi-Span Statically Determinate Beams...................... 57<o:p></o:p>3.3 Statically Determinate Plane Trusses......................... 62<o:p></o:p>3.3.1 Characteristics and Classification of Trusses ............... 62<o:p></o:p>3.3.2 Method of Joints................................... 64<o:p></o:p>3.3.3 Method of Sections.................................. 67<o:p></o:p>3.3.4 Combined Application of the Method of Joints<o:p></o:p>and the Method of Sections........................... 69<o:p></o:p>3.4 Statically Determinate Plane Frames.......................... 71<o:p></o:p>3.4.1 Characteristics of Frames............................. 71<o:p></o:p>3.4.2 Calculation of Support Reactions....................... 71<o:p></o:p>3.4.3 Internal Force Analysis and DrawingInternal Force Diagram of Frames.................................. 753.4.4 Quick Drawing of Moment Diagrams of Statically Determinate Frames................................. 843.5 Statically Determine Composite Structures..................... 86<o:p></o:p>3.6 Three-Hinged Arches..................................... 92<o:p></o:p>3.6.1 Support Reactions and Internal Force Calculation of Three-Hinged Arches.............................. 933.6.2 Rational Axes of Three-Hinged Arches................... 99<o:p></o:p>3.7 General Properties of Statically Determinate Structures ........... 104<o:p></o:p>Problems................................................... 106<o:p></o:p>CHAPTER 4<o:p></o:p>Principle of Virtual Work and Deflection Calculation .................. 113<o:p></o:p>4.1 Overview of Deflection Calculation........................... 113<o:p></o:p>4.1.1 Concept of Structural Displacements.................... 113<o:p></o:p>4.1.2 Purpose of Deflection Calculation....................... 115<o:p></o:p>4.2 Principle of Virtual Work for Deformable Structures .............. 116<o:p></o:p>4.2.1 Principle of Virtual Work for Rigid Body System ........... 116<o:p></o:p>4.2.2 Application Conditions of Principle of Virtual Work for Deformable Structures............................ 1164.2.3 Virtual Work Equation for Deformable Structures .......... 119<o:p></o:p>4.2.4 Principle of Virtual Forces and Principle of Virtual Displacements..................................... 1224.3 Unit-Load Method for Structural Deflection Calculation ........... 124<o:p></o:p>4.4 Deflection Calculation under Loads........................... 127<o:p></o:p>4.4.1 Formula for Deflection Calculation under Loads ............ 127<o:p></o:p>4.4.2 Deflection Formulas for Various Structures ................ 128<o:p></o:p>4.4.3 Examples of Deflection Calculation under Loads............ 130<o:p></o:p>4.5 Graph Multiplication Method............................... 136<o:p></o:p>4.5.1 Graph Multiplication Method and Its Application Conditions. . 136<o:p></o:p>4.5.2 Several Specific Problems of Applying Graph Multiplication Method.......................................... 1374.5.3 Examples of Graph Multiplication Method................ 140<o:p></o:p>4.6 Deflection Calculation under Temperature Change ............... 143<o:p></o:p>4.7 Reciprocal Theorems of Linearly Elastic Structures ............... 146<o:p></o:p>4.7.1 Theorem of Reciprocal Works.......................... 146<o:p></o:p>4.7.2 Theorem of Reciprocal Displacements.................... 148<o:p></o:p>4.7.3 Theorem of Reciprocal Reactions....................... 149<o:p></o:p>4.7.4 Theorem of Reciprocal Displacement-Reaction ............. 150<o:p></o:p>Problems................................................... 151<o:p></o:p>CHAPTER 5<o:p></o:p>Force Method................................................ 157<o:p></o:p>5.1 Determination of Degree of Static Indeterminacy ................ 158<o:p></o:p>5.1.1 Equilibrium and Geometric Construction Characteristics of Statically Indeterminate Structures.................... 1585.1.2 Determination of Degree of Indeterminacy and Number of Redundant Constraint Forces........................ 1595.2 Fundamental Concept of the Force Method..................... 161<o:p></o:p>5.2.1 Primary Unknowns, Primary System, and Basic Equations of Force Method.................................... 1615.2.2 Analysis of Structures with Multiple Degrees of Indeterminacy by Force Method................................... 1655.2.3 Canonical Equations of Force Method................... 1675.3 Analysis of Statically Indeterminate Framesand Bent Structures .... 169<o:p></o:p>5.4 Analysis of Statically Indeterminate Trusses and Composite Structures.............................................. 1775.5 Analysis of Symmetric Structures and Half Structures............. 182<o:p></o:p>5.5.1 Selection of Symmetric Primary System.................. 184<o:p></o:p>5.5.2 Determination of Half Structure in Terms of Symmetry ...... 188<o:p></o:p>5.6 Two-Hinged and Hingeless Arches............................ 193<o:p></o:p>5.6.1 Solving Two-Hinged Arch by the Force Method ............ 194<o:p></o:p>5.6.2 Solving Hingeless Arch by the Force Method .............. 200<o:p></o:p>5.7 Internal Force Analysis of Structures under Support Movement or Temperature Change................................... 2045.7.1 Support Movement.................................. 204<o:p></o:p>5.7.2 Temperature Change................................ 208<o:p></o:p>5.8 Deflection Computation of Statically Indeterminate Structures ...... 210<o:p></o:p>5.9 Check for Calculated Results of Statically Indeterminate Structures . . 215<o:p></o:p>5.9.1 Check of Equilibrium Conditions....................... 216<o:p></o:p>5.9.2 Check of Deformation Conditions....................... 217<o:p></o:p>Problems................................................... 218<o:p></o:p>CHAPTER 6<o:p></o:p>Displacement Method.......................................... 223<o:p></o:p>6.1 Fundamental Concept of the Displacement Method ............... 224<o:p></o:p>6.1.1 A Simple Example of Displacement Method............... 224<o:p></o:p>6.1.2 Primary Unknowns and Basic Equations of Displacement Method.............................. 2276.1.3 Basic Idea of Calculating Frame Structures by Displacement Method............................. 2286.1.4 Determination of Primary Unknowns of Displacement Method . 229<o:p></o:p>6.2 Slope-Deflection Equation of Prismatic Member ................. 232<o:p></o:p>6.2.1 Calculating Member-End Internal Forces from Member-End Displacements..................................... 2346.2.2 Calculating Fixed-End Internal Forces from Loads .......... 238<o:p></o:p>6.3 Analysis of Frames Without Sidesway......................... 241<o:p></o:p>6.3.1 Selection of Primary Unknowns........................ 241<o:p></o:p>6.3.2 Establishment of Basic Equations....................... 241<o:p></o:p>6.4 Analysis of Frames with Sidesway............................ 245<o:p></o:p>6.5 Analysis of Symmetric Structures............................ 253<o:p></o:p>6.6 Primary System in the Displacement Method................... 256<o:p></o:p>6.6.1 Primary System of the Displacement Method.............. 257<o:p></o:p>6.6.2 Basic Equations of the Displacement Method .............. 258<o:p></o:p>6.6.3 Process of Establishing the Basic Equations of the Displacement Method........................... 2606.6.4 Canonical Equations of Displacement Method ............. 262<o:p></o:p>6.7 Principle of Potential Energy and Displacement Method ........... 264<o:p></o:p>6.7.1 Principle of Stationary Potential Energy.................. 2646.7.2 Linear Elastic Strain Energy of Prismatic Member .......... 266<o:p></o:p>6.7.3 Principle of Potential Energy and Equilibrium Equation of Displacement Method.............................. 2676.8 Rayleigh–Ritz Method.................................... 272<o:p></o:p>6.9 Moment-Distribution Method and No-Shear Distribution Method .... 274<o:p></o:p>6.9.1 Basic Principle of the Moment-Distribution Method ......... 275<o:p></o:p>6.9.2 Computation of Continuous Beams and Frames Without<o:p></o:p>Sidesway Using the Moment-Distribution Method.......... 280<o:p></o:p>6.9.3 No-Shear Distribution Method......................... 286<o:p></o:p>6.10 Characteristics of Statically Indeterminate Structures ............. 292<o:p></o:p>Problems................................................... 294<o:p></o:p>CHAPTER 7<o:p></o:p>Influence Lines for Structures under Moving Loads .................... 301<o:p></o:p>7.1 Concepts of Moving Load and Influence Line................... 302<o:p></o:p>7.2 Equilibrium Method for Constructing Influence Lines of Simply Supported Beams........................................ 3047.3 Influence Lines for Girders and Trusses........................ 309<o:p></o:p>7.3.1 Influence Lines for Internal Forces of Girders .............. 309<o:p></o:p>7.3.2 Influence Lines for Axial Forces of Trusses ................ 311<o:p></o:p>7.4 Kinematic Method for Constructing Influence Lines of Statically Determinate Structures.................................... 3157.5 Applications of Influence Lines.............................. 321<o:p></o:p>7.5.1 Responses Due to Various Kinds of Loads................ 322<o:p></o:p>7.5.2 Most Unfavorable Position of Moving Loads............... 324<o:p></o:p>7.5.3 Determination of Critical Position forPolygonal Influence Line............................................. 3267.5.4 Determination of Critical Position for Triangle Influence Line . . 330<o:p></o:p>7.6 Kinematic Method for Constructing Influence Lines of Statically<o:p></o:p>Indeterminate Beams..................................... 333<o:p></o:p>Problems................................................... 341<o:p></o:p>CHAPTER 8<o:p></o:p>Matrix Displacement Methods................................... 345<o:p></o:p>8.1 Fundamental Principle of the Matrix Displacement Method ........ 346<o:p></o:p>8.2 Elemental Stiffness Matrix................................. 347<o:p></o:p>8.2.1 Elemental Stiffness Matrix in Local Coordinate System ...... 348<o:p></o:p>8.2.2 Properties of Elemental Stiffness Matrix.................. 350<o:p></o:p>8.3 Coordinate Transformation of Elemental Stiffness Matrix .......... 351<o:p></o:p>8.3.1 Elemental Stiffness Matrix in the Global Coordinate System ... 351<o:p></o:p>8.3.2 Elemental Stiffness Matrix of Continuous Beam ............ 355<o:p></o:p>8.3.3 Elemental Stiffness Matrix of Axial Force Bar.............. 357<o:p></o:p>8.4 Global Stiffness Matrix of Structure.......................... 360<o:p></o:p>8.4.1 Element and Node Numberings........................ 3608.4.2 Direct Stiffness Method for Assembling Global Stiffness Matrix........................................... 3628.4.3 Imposing Support Conditions.......................... 364<o:p></o:p>8.4.4 Properties of Global Stiffness Matrix.................... 365<o:p></o:p>8.4.5 Treatment of Pinned Joints........................... 366<o:p></o:p>8.5 Equivalent Nodal Loads................................... 366<o:p></o:p>8.5.1 Basic Equation of Matrix Displacement Method ............ 366<o:p></o:p>8.5.2 Equivalent Nodal Loads of Elements.................... 367<o:p></o:p>8.5.3 Equivalent Nodal Loads of Structure.................... 369<o:p></o:p>8.6 Computational Procedures and Examples...................... 372<o:p></o:p>8.6.1 Example of Truss Analysis............................ 373<o:p></o:p>8.6.2 Example of Frame Structure........................... 378<o:p></o:p>8.6.3 Example of Composite Structure....................... 384<o:p></o:p>8.6.4 Matrix Displacement Method for Rectangular Frame Neglecting Axial Deformation.......................... 388Problems................................................... 391<o:p></o:p>Bibliography................................................. 397<o:p></o:p>Appendix A1. Answers to Problems............................... 399<o:p></o:p>Appendix A2. Index........................................... 407<o:p></o:p>Appendix A3. Matlab Program Codes of the Matrix Displacement Method for Plane Structural Analysis......................... 409 Brief Introduction to the Book................................... III<o:p></o:p>About the Authors............................................ V<o:p></o:p>Preface..................................................... VII<o:p></o:p>Notations................................................... XV<o:p></o:p>CHAPTER 1<o:p></o:p>Introduction................................................. 1<o:p></o:p>1.1 Research Object and Tasks of StructuralAnalysis................ 2<o:p></o:p>1.1.1 Research Object.................................... 2<o:p></o:p>1.1.2 Tasks............................................ 3<o:p></o:p>1.2 Computational Models of Structures.......................... 4<o:p></o:p>1.2.1 Simplification of Structural Systems..................... 5<o:p></o:p>1.2.2 Simplification of Members............................ 5<o:p></o:p>1.2.3 Simplification of Joints............................... 6<o:p></o:p>1.2.4 Simplification of the Supports......................... 7<o:p></o:p>1.2.5 Simplification of MaterialProperties..................... 8<o:p></o:p>1.2.6 Simplification of Loads............................... 8<o:p></o:p>1.3 Classification of Member Structures andLoads .................. 10<o:p></o:p>1.3.1 Classification of Member Structures..................... 10<o:p></o:p>1.3.2 Classification of Loads............................... 11<o:p></o:p>1.4 A Brief History of the Development ofStructural Analysis ......... 12<o:p></o:p>1.4.1 Energy Principles and Energy Methods.................. 13<o:p></o:p>1.4.2 Force Method and Displacement Method................. 15<o:p></o:p>1.4.3 Matrix Displacement Method and FiniteElement Method .... 18<o:p></o:p>1.5 A Brief Introduction to Important Figuresin Structural Analysis .... 20<o:p></o:p>CHAPTER 2<o:p></o:p>Kinematic Analysis of Plane Member Systems....................... 27<o:p></o:p>2.1 Several Concepts of Kinematic Analysis....................... 28<o:p></o:p>2.1.1 Degree of Freedom and Constraint...................... 28<o:p></o:p>2.1.2 Instantaneously Changeable System and Constantly Changeable System................................. 302.1.3 Instantaneous Hinge................................. 31<o:p></o:p>2.2 Basic Construction Rules of Plane Geometrically Unchangeable Systems............................................... 322.2.1 The Rule of Pin-Joined Member System.................. 32<o:p></o:p>2.2.2 The Rule of Two Rigid Discs.......................... 33<o:p></o:p>2.2.3 The Rule of Three Rigid Discs......................... 34<o:p></o:p>2.3 Computational Degree of Freedom of PlaneMember Systems ....... 39<o:p></o:p>2.3.1 Computational Degree of Freedom of RigidDisc System ...... 40<o:p></o:p>2.3.2 Computational Degree of Freedom of theHinged System ..... 42<o:p></o:p>2.3.3 Computational Degree of Freedom of theMixed System ...... 44<o:p></o:p>2.4 Geometrical Stability and StaticDeterminacy of Systems .......... 45<o:p></o:p>Problems................................................... 46<o:p></o:p>CHAPTER 3<o:p></o:p>Analysis of Statically Determinate Structures........................ 49<o:p></o:p>3.1 Single-Span Statically Determinate Beams..................... 50<o:p></o:p>3.1.1 Single-Span Statically Determinate Beamsand Internal Forces........................................... 503.1.2 Relations Between Loads and InternalForces .............. 52<o:p></o:p>3.1.3 Method of Segmental Superposition..................... 54<o:p></o:p>3.2 Multi-Span Statically Determinate Beams...................... 57<o:p></o:p>3.3 Statically Determinate Plane Trusses......................... 62<o:p></o:p>3.3.1 Characteristics and Classification ofTrusses ............... 62<o:p></o:p>3.3.2 Method of Joints................................... 64<o:p></o:p>3.3.3 Method ofSections.................................. 67<o:p></o:p>3.3.4 Combined Application of the Method ofJoints and the Method of Sections........................... 693.4 Statically Determinate PlaneFrames.......................... 71<o:p></o:p>3.4.1 Characteristics of Frames............................. 71<o:p></o:p>3.4.2 Calculation of Support Reactions....................... 71<o:p></o:p>3.4.3 Internal Force Analysis and DrawingInternal Force Diagram of Frames.................................. 753.4.4 Quick Drawing of Moment Diagrams ofStatically Determinate Frames................................. 843.5 Statically Determine Composite Structures..................... 86<o:p></o:p>3.6 Three-Hinged Arches..................................... 92<o:p></o:p>3.6.1 Support Reactions and Internal ForceCalculation of Three-Hinged Arches.............................. 933.6.2 Rational Axes of Three-Hinged Arches................... 99<o:p></o:p>3.7 General Properties of Statically Determinate Structures ........... 104<o:p></o:p>Problems................................................... 106<o:p></o:p>CHAPTER 4<o:p></o:p>Principle of Virtual Work and Deflectio Calculation .................. 113<o:p></o:p>4.1 Overview of Deflection Calculation........................... 113<o:p></o:p>4.1.1 Concept of Structural Displacements.................... 113<o:p></o:p>4.1.2 Purpose of Deflection Calculation....................... 115<o:p></o:p>4.2 Principle of Virtual Work for Deformable Structures .............. 116<o:p></o:p>4.2.1 Principle of Virtual Work for Rigid Body System ........... 116<o:p></o:p>4.2.2 Application Conditions of Principle of Virtual Work<o:p></o:p>for Deformable Structures............................ 116<o:p></o:p>4.2.3 Virtual Work Equation for DeformableStructures .......... 119<o:p></o:p>4.2.4 Principle of Virtual Forces and Principleof Virtual Displacements..................................... 1224.3 Unit-Load Method for Structural Deflection Calculation ........... 124<o:p></o:p>4.4 Deflection Calculation under Loads........................... 127<o:p></o:p>4.4.1 Formula for Deflection Calculation underLoads ............ 127<o:p></o:p>4.4.2 Deflection Formulas for Various Structures ................ 128<o:p></o:p>4.4.3 Examples of Deflection Calculation underLoads............ 130<o:p></o:p>4.5 Graph Multiplication Method............................... 136<o:p></o:p>4.5.1 Graph Multiplication Method and ItsApplication Conditions. . 136<o:p></o:p>4.5.2 Several Specific Problems of ApplyingGraph Multiplication Method.......................................... 1374.5.3 Examples of Graph Multiplication Method................ 140<o:p></o:p>4.6 Deflection Calculation under Temperature Change ............... 143<o:p></o:p>4.7 Reciprocal Theorems of Linearly Elastic Structures ............... 146<o:p></o:p>4.7.1 Theorem of Reciprocal Works.......................... 146<o:p></o:p>4.7.2 Theorem of Reciprocal Displacements.................... 148<o:p></o:p>4.7.3 Theorem of Reciprocal Reactions....................... 149<o:p></o:p>4.7.4 Theorem of Reciprocal Displacement-Reaction ............. 150<o:p></o:p>Problems................................................... 151<o:p></o:p>CHAPTER 5<o:p></o:p>Force Method................................................ 157<o:p></o:p>5.1 Determination of Degree of Static Indeterminacy ................ 158<o:p></o:p>5.1.1 Equilibrium and Geometric Construction Characteristics of Statically Indeterminate Structures.................... 1585.1.2 Determination of Degree of Indeterminacy and Number of Redundant Constraint Forces........................ 1595.2 Fundamental Concept of the Force Method..................... 161<o:p></o:p>5.2.1 Primary Unknowns, Primary System, andBasic Equations of Force Method.................................... 1615.2.2 Analysis of Structures with MultipleDegrees of Indeterminacy by Force Method................................... 1655.2.3 Canonical Equations of Force Method................... 1675.3 Analysis of Statically Indeterminate Framesand Bent Structures .... 169<o:p></o:p>5.4 Analysis of Statically IndeterminateTrusses and Composite Structures.............................................. 1775.5 Analysis of Symmetric Structures and Half Structures............. 182<o:p></o:p>5.5.1 Selection of Symmetric Primary System.................. 184<o:p></o:p>5.5.2 Determination of Half Structure in Termsof Symmetry ...... 188<o:p></o:p>5.6 Two-Hinged and HingelessArches............................ 193<o:p></o:p>5.6.1 Solving Two-Hinged Arch by the Force Method ............ 194<o:p></o:p>5.6.2 Solving Hingeless Arch by the Force Method .............. 200<o:p></o:p>5.7 Internal Force Analysis of Structures underSupport Movement or Temperature Change................................... 2045.7.1 Support Movement.................................. 204<o:p></o:p>5.7.2 Temperature Change................................ 208<o:p></o:p>5.8 Deflection Computation of StaticallyIndeterminate Structures ...... 210<o:p></o:p>5.9 Check for Calculated Results of StaticallyIndeterminate Structures . . 215<o:p></o:p>5.9.1 Check of Equilibrium Conditions....................... 216<o:p></o:p>5.9.2 Check of Deformation Conditions....................... 217<o:p></o:p>Problems................................................... 218<o:p></o:p>CHAPTER 6<o:p></o:p>Displacement Method.......................................... 223<o:p></o:p>6.1 Fundamental Concept of the Displacement Method ............... 224<o:p></o:p>6.1.1 A Simple Example of Displacement Method............... 224<o:p></o:p>6.1.2 Primary Unknowns and Basic Equations of Displacement Method.............................. 2276.1.3 Basic Idea of Calculating FrameStructures by Displacement Method............................. 2286.1.4 Determination of Primary Unknowns of Displacement Method . 229<o:p></o:p>6.2 Slope-Deflection Equation of Prismatic Member ................. 232<o:p></o:p>6.2.1 Calculating Member-End Internal Forcesfrom Member-End Displacements..................................... 2346.2.2 Calculating Fixed-End Internal Forces from Loads .......... 238<o:p></o:p>6.3 Analysis of Frames Without Sidesway......................... 241<o:p></o:p>6.3.1 Selection of Primary Unknowns........................ 241<o:p></o:p>6.3.2 Establishment of Basic Equations....................... 241<o:p></o:p>6.4 Analysis of Frames with Sidesway............................ 245<o:p></o:p>6.5 Analysis of Symmetric Structures............................ 253<o:p></o:p>6.6 Primary System in the Displacement Method................... 256<o:p></o:p>6.6.1 Primary System of the Displacement Method.............. 257<o:p></o:p>6.6.2 Basic Equations of the Displacement Method .............. 258<o:p></o:p>6.6.3 Process of Establishing the Basic Equations of the Displacement Method........................... 2606.6.4 Canonical Equations of Displacemen tMethod ............. 262<o:p></o:p>6.7 Principle of Potential Energy and Displacement Method ........... 264<o:p></o:p>6.7.1 Principle of Stationary Potential Energy.................. 2646.7.2 Linear Elastic Strain Energy of Prismatic Member .......... 266<o:p></o:p>6.7.3 Principle of Potential Energy and Equilibrium Equation<o:p></o:p>of Displacement Method.............................. 267<o:p></o:p>6.8 Rayleigh–Ritz Method.................................... 272<o:p></o:p>6.9 Moment-Distribution Method and No-Shear Distribution Method .... 274<o:p></o:p>6.9.1 Basic Principle of the Moment-Distribution Method ......... 275<o:p></o:p>6.9.2 Computation of Continuous Beams and Frames Without Sidesway Using the Moment-Distribution Method.......... 2806.9.3 No-Shear Distribution Method......................... 286<o:p></o:p>6.10 Characteristics of StaticallyIndeterminate Structures ............. 292<o:p></o:p>Problems................................................... 294<o:p></o:p>CHAPTER 7<o:p></o:p>Influence Lines for Structures under Moving Loads .................... 301<o:p></o:p>7.1 Concepts of Moving Load and Influence Line................... 302<o:p></o:p>7.2 Equilibrium Method for ConstructingInfluence Lines of Simply Supported Beams........................................ 3047.3 Influence Lines for Girders and Trusses........................ 309<o:p></o:p>7.3.1 Influence Lines for Internal Forces of Girders .............. 309<o:p></o:p>7.3.2 Influence Lines for Axial Forces of Trusses ................ 311<o:p></o:p>7.4 Kinematic Method for Constructing InfluenceLines of Statically Determinate Structures.................................... 3157.5 Applications of Influence Lines.............................. 321<o:p></o:p>7.5.1 Responses Due to Various Kinds of Loads................ 322<o:p></o:p>7.5.2 Most Unfavorable Position of Moving Loads............... 324<o:p></o:p>7.5.3 Determination of Critical Position forPolygonal Influence Line............................................. 3267.5.4 Determination of Critical Position forTriangle Influence Line . . 330<o:p></o:p>7.6 Kinematic Method for Constructing Influence Lines of Statically Indeterminate Beams..................................... 333Problems................................................... 341<o:p></o:p>CHAPTER 8<o:p></o:p>Matrix Displacement Methods................................... 345<o:p></o:p>8.1 Fundamental Principle of the MatrixDisplacement Method ........ 346<o:p></o:p>8.2 Elemental Stiffness Matrix................................. 347<o:p></o:p>8.2.1 Elemental Stiffness Matrix in LocalCoordinate System ...... 348<o:p></o:p>8.2.2 Properties of Elemental Stiffness Matrix.................. 350<o:p></o:p>8.3 Coordinate Transformation of ElementalStiffness Matrix .......... 351<o:p></o:p>8.3.1 Elemental Stiffness Matrix in the GlobalCoordinate System ... 351<o:p></o:p>8.3.2 Elemental Stiffness Matrix of ContinuousBeam ............ 355<o:p></o:p>8.3.3 Elemental Stiffness Matrix of Axial ForceBar.............. 357<o:p></o:p>8.4 Global Stiffness Matrix of Structure.......................... 360<o:p></o:p>8.4.1 Element and Node Numberings........................ 3608.4.2 Direct Stiffness Method for Assembling Global Stiffness Matrix........................................... 3628.4.3 Imposing Support Conditions.......................... 364<o:p></o:p>8.4.4 Properties of Global Stiffness Matrix.................... 365<o:p></o:p>8.4.5 Treatment of Pinned Joints........................... 366<o:p></o:p>8.5 Equivalent Nodal Loads................................... 366<o:p></o:p>8.5.1 Basic Equation of Matrix DisplacementMethod ............ 366<o:p></o:p>8.5.2 Equivalent Nodal Loads of Elements.................... 367<o:p></o:p>8.5.3 Equivalent Nodal Loads of Structure.................... 369<o:p></o:p>8.6 Computational Procedures and Examples...................... 372<o:p></o:p>8.6.1 Example of Truss Analysis............................ 373<o:p></o:p>8.6.2 Example of Frame Structure........................... 378<o:p></o:p>8.6.3 Example of Composite Structure....................... 384<o:p></o:p>8.6.4 Matrix Displacement Method forRectangular Frame<o:p></o:p>Neglecting Axial Deformation.......................... 388<o:p></o:p>Problems................................................... 391<o:p></o:p>Bibliography................................................. 397<o:p></o:p>Appendix A1. Answers to Problems............................... 399<o:p></o:p>Appendix A2. Index........................................... 407<o:p></o:p>Appendix A3. Matlab Program Codes of the MatrixDisplacement Method<o:p></o:p>for Plane Structural Analysis......................... 409<o:p></o:p> 21 00 06 01 https://laboutique.edpsciences.fr/produit/1381/9782759831913/structural-analysis 01 00 03 02 https://laboutique.edpsciences.fr/system/product_pictures/data/009/983/061/original/9782759831906-Structural_Analysis_couv-sofedis.jpg 17 14 20240913T172747+0200 01 P15 EDP Sciences & Science Press 01 01 P15 EDP Sciences & Science Press 04 11 00 20231212 01 00 20231212 19 00 20231212 2026 06 3052868830012 01 WORLD 13 03 9782759831906 15 9782759831906 06 03 9782759831913 15 9782759831913 WORLD 08 EDP Sciences & Science Press 04 01 00 20231212 03 01 D1 EDP Sciences 31 04 05 01 02 1 00 101.99 01 5.50 5.32 EUR 04 06 01 02 1 00 356.99 01 5.50 5.32 EUR 01 04 06 01 02 1 00 392.99 01 5.50 20.49 USD 01