Structural Analysis: Principles, Methods and Modelling (Paperback) book cover

Structural Analysis

Principles, Methods and Modelling

By Gianluca Ranzi, Raymond Ian Gilbert

© 2014 – CRC Press

576 pages | 665 B/W Illus.

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About the Book

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.


"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

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




About the Authors

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.


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BISAC Subject Codes/Headings: