1st Edition
Structural Analysis Principles, Methods and Modelling
Provides Step-by-Step Instruction
Structural Analysis: Principles, Methods and Modelling
outlines the fundamentals involved in analyzing engineering structures, and effectively presents the derivations used for analytical and numerical formulations. This text explains practical and relevant concepts, and lays down the foundation for a solid mathematical background that incorporates MATLAB® (no prior knowledge of MATLAB is necessary), and includes numerous worked examples.Effectively Analyze Engineering Structures
Divided into four parts, the text focuses on the analysis of statically determinate structures. It evaluates basic concepts and procedures, examines the classical methods for the analysis of statically indeterminate structures, and explores the stiffness method of analysis that reinforces most computer applications and commercially available structural analysis software. In addition, it covers advanced topics that include the finite element method, structural stability, and problems involving material nonlinearity.
MATLAB® files for selected worked examples are available from the book’s website. Resources available from CRC Press for lecturers adopting the book include:
- A solutions manual for all the problems posed in the book
- Nearly 2000 PowerPoint presentations suitable for use in lectures for each chapter in the book
- Revision videos of selected lectures with added narration
- Figure slides
Structural Analysis: Principles, Methods and Modelling
exposes civil and structural engineering undergraduates to the essentials of structural analysis, and serves as a resource for students and practicing professionals in solving a range of engineering problems.Introduction
Structural analysis and design
Structural idealisation
Structural members and elements
Structural systems
Types of loads
Supports for structures
Statics of structures: Equilibrium and support reactions
Introduction
Coordinate systems
Force
Moment of a force
Resultant force and moment
Reactions
Free-body diagram
Equilibrium equations for planar structures
External statical determinacy and stability
Internally stable structures
Determination of reactions
Equilibrium and reactions in three-dimensional structures
Problems
Internal actions of beams and frames
Introduction
Internal actions at a cross-section
Sign convention of internal actions
Determination of internal actions and statical determinacy
Axial force, shear force and bending moment diagrams
Problems
Statically determinate trusses
Introduction
Assumptions for truss analysis
Sign convention and notation
An introduction to the method of joints
Method of joints in matrix form
Method of sections
Statical indeterminacy and stability of trusses
Deformation of trusses
Trusses with loaded members
Space trusses
Problems
Euler–Bernoulli beam model
Introduction
Equilibrium of a small length of beam
Kinematic (or strain–displacement) equations
Constitutive equations
Method of double integration
Governing differential equations (as a function of displacements)
Relationship between bending moment, shear force and member loading
Problems
Slope-deflection methods
Introduction
Method of double integration with step functions
Moment-area method
Conjugate beam method
The slope-deflection equations
Problems
Work–energy methods
Strain energy
The work theorem
Virtual work
Virtual work applied to trusses
Virtual work applied to beams and frames
Castigliano’s theorem
Problems
The force method
Introduction
The force method applied to trusses
The force method applied to beams and frames
Problems
Moment distribution
Introduction
Basic concepts
Continuous beams
Frames without sidesway
Frames with sidesway
Problems
Truss analysis using the stiffness method
Overview of the stiffness method
Sign convention, notation, coordinate systems and degrees of freedom
Derivation of the stiffness matrix in local coordinates
Transformation between local and global coordinate systems
Truss element in global coordinates
Assembling
Solution procedure
Calculation of internal actions
Nodal coordinates
Space truss
Problems
Beam analysis using the stiffness method
The beam element
Derivation of the stiffness matrix
Beam element in global coordinates
Assembling of the stiffness elements
Member loads
Solution procedure and post-processing
Problems
Frame analysis using the stiffness method
The frame element
Derivation of the element stiffness matrix
Transformation between local and global coordinate systems
Frame element in global coordinates
Member loads
Assembling, solution and post-processing
Problems
Introduction to the finite element method
Introduction
Euler–Bernoulli beam model
Timoshenko beam model
Problems
Introduction to the structural stability of columns
Introduction
Assumptions
Critical load from equilibrium
Critical load from potential energy
Buckling of an elastic column
Effective buckling length
Buckling stresses
Imperfections in columns
Problems
Introduction to nonlinear analysis
Introduction
Nonlinear material properties
Illustrative examples
Nonlinear analysis using the Newton–Raphson method
Finite element analysis using the Newton–Raphson method
Problems
Appendices
Index
Biography
Gianluca Ranzi is an associate professor and the director of the Centre for Advanced Structural Engineering at the University of Sydney, specializing in the analysis and design of concrete and composite steel-concrete structures.
Raymond Ian Gilbert
is an emeritus professor at the University of New South Wales. He has over 35 years’ experience in teaching structural analysis and design and is a specialist in the analysis and design of reinforced and prestressed concrete structures..
"This book gives a good in-depth explanation of the fundamental principles of structural analysis. Topics are dealt with in considerable detail and illustrated with copious examples."
––Dr Robert Vollum, Department of Civil & Environmental Engineering Imperial College London, United Kingdom"… explains very well and in simple terms topics which are often perceived by young students to be complicated and confusing, without sacrificing the formal mathematical treatment of the subject. … will also serve as a reference for all those practitioners who would like to revisit or gain deeper insight into the theoretical basis of the main calculation methods nowadays adopted for the design of structures."
—Massimiliano Bocciarelli, Politecnico di Milano
"… presents in a comprehensive way topics of structural analysis that are basic for civil and building engineers. The authors bring students toward a deep understanding of difficult issues in a very "natural" way. Final chapters, which introduce advanced analysis tools as the finite element method and issues like stability and plasticity of structures, give a clear perception of the behaviour complexity of a real structure. MATLAB tools allow facilitating and multiplying the experiences necessary to develop an intuitive approach to the structural design."
—Graziano Leoni, University of Camerino, Italy