Structural Analysis : Principles, Methods and Modelling book cover
1st Edition

Structural Analysis
Principles, Methods and Modelling

ISBN 9780415526449
Published August 5, 2014 by CRC Press
576 Pages 665 B/W Illustrations

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Book Description

    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.

    Table of Contents


    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


    Coordinate systems


    Moment of a force

    Resultant force and moment


    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


    Internal actions of beams and frames


    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


    Statically determinate trusses


    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


    Euler–Bernoulli beam model


    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


    Slope-deflection methods


    Method of double integration with step functions

    Moment-area method

    Conjugate beam method

    The slope-deflection equations


    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


    The force method


    The force method applied to trusses

    The force method applied to beams and frames


    Moment distribution


    Basic concepts

    Continuous beams

    Frames without sidesway

    Frames with sidesway


    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


    Solution procedure

    Calculation of internal actions

    Nodal coordinates

    Space truss


    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


    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


    Introduction to the finite element method


    Euler–Bernoulli beam model

    Timoshenko beam model


    Introduction to the structural stability of columns



    Critical load from equilibrium

    Critical load from potential energy

    Buckling of an elastic column

    Effective buckling length

    Buckling stresses

    Imperfections in columns


    Introduction to nonlinear analysis


    Nonlinear material properties

    Illustrative examples

    Nonlinear analysis using the Newton–Raphson method

    Finite element analysis using the Newton–Raphson method




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    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