 Civil MDC # Structural Analysis Principles, Methods and Modelling By Gianluca Ranzi, Raymond Ian Gilbert

## 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.

Introduction

Structural analysis and design

Structural idealisation

Structural members and elements

Structural systems

Supports for structuresStatics 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

ProblemsInternal 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

ProblemsStatically 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

Space trusses

ProblemsEuler–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)

ProblemsSlope-deflection methods

Introduction

Method of double integration with step functions

Moment-area method

Conjugate beam method

The slope-deflection equations

ProblemsWork–energy methods

Strain energy

The work theorem

Virtual work

Virtual work applied to trusses

Virtual work applied to beams and frames

Castigliano’s theorem

ProblemsThe force method

Introduction

The force method applied to trusses

The force method applied to beams and frames

ProblemsMoment distribution

Introduction

Basic concepts

Continuous beams

Frames without sidesway

Frames with sidesway

ProblemsTruss 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

ProblemsBeam analysis using the stiffness method

The beam element

Derivation of the stiffness matrix

Beam element in global coordinates

Assembling of the stiffness elements

Solution procedure and post-processing

ProblemsFrame 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

Assembling, solution and post-processing

ProblemsIntroduction to the finite element method

Introduction

Euler–Bernoulli beam model

Timoshenko beam model

ProblemsIntroduction to the structural stability of columns

Introduction

Assumptions

Buckling of an elastic column

Effective buckling length

Buckling stresses

Imperfections in columns

ProblemsIntroduction 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