1st Edition

Structural Analysis Principles, Methods and Modelling

By Gianluca Ranzi, Raymond Ian Gilbert Copyright 2015
    576 Pages 665 B/W Illustrations
    by CRC Press

      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.


      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





      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