Structural analysis : a unified classical and matrix approach

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Bibliographic Details
Main Author Ghali, A.
Other Authors Neville, Adam M., Brown, T. G.
Format Electronic eBook
LanguageEnglish
Published London ; New York : Spon Press, 2009.
Edition6th ed.
Subjects
Online AccessFull text
ISBN9781628707991
1628707992
9781498711043
1498711049
9780415774321
0415774322
9780415774338
0415774330
Physical Description1 online resource (xxvi, 835 pages) : illustrations

Cover

Table of Contents:
  • Cover
  • Half Title
  • Title Page
  • Copyright Page
  • Contents
  • Preface to the sixth edition
  • Notation
  • The SI system of units of measurement
  • 1 Structural analysis modeling
  • 1.1 Introduction
  • 1.2 Types of structures
  • 1.2.1 Cables and arches
  • 1.3 Load path
  • 1.4 Deflected shape
  • 1.5 Structural idealization
  • 1.6 Framed structures
  • 1.6.1 Computer programs
  • 1.7 Non-framed or continuous structures
  • 1.8 Connections and support conditions
  • 1.9 Loads and load idealization
  • 1.9.1 Thermal effects
  • 1.10 Stresses and deformations
  • 1.11 Normal stress
  • 1.11.1 Normal stresses in plane frames and beams
  • 1.11.2 Examples of deflected shapes and bending moment diagrams
  • 1.11.3 Deflected shapes and bending moment diagrams due to temperature variation
  • 1.12 Comparisons: beams, arches and trusses
  • Example 1.1 Load path comparisons: beam, arch and truss
  • Example 1.2 Three-hinged, two-hinged, and totally fixed arches
  • 1.13 Strut-and-tie models in reinforced concrete design
  • 1.13.1 B- and D-regions
  • Example 1.3 Strut-and-tie model for a wall supporting an eccentric load
  • 1.13.2 Statically indeterminate strut-and-tie models
  • 1.14 Structural design
  • 1.15 General
  • Problems
  • 2 Statically determinate structures
  • 2.1 Introduction
  • 2.2 Equilibrium of a body
  • Example 2.1 Reactions for a spatial body: a cantilever
  • Example 2.2 Equilibrium of a node of a space truss
  • Example 2.3 Reactions for a plane frame
  • Example 2.4 Equilibrium of a joint of a plane frame
  • Example 2.5 Forces in members of a plane truss
  • 2.3 Internal forces: sign convention and diagrams
  • 2.4 Verification of internal forces
  • Example 2.6 Member of a plane frame: V and M-diagrams
  • Example 2.7 Simple beams: veri?cation of V and M-diagrams
  • Example 2.8 A cantilever plane frame
  • Example 2.9 A simply-supported plane frame.
  • Example 2.10 M-diagrams determined without calculation of reactions
  • Example 2.11 Three-hinged arches
  • 2.5 Effect of moving loads
  • 2.5.1 Single load
  • 2.5.2 Uniform load
  • 2.5.3 Two concentrated loads
  • Example 2.12 Maximum bending moment diagram
  • 2.5.4 Group of concentrated loads
  • 2.5.5 Absolute maximum effect
  • Example 2.13 Simple beam with two moving loads
  • 2.6 Influence lines for simple beams and trusses
  • Example 2.14 Maximum values of M and V using influence lines
  • 2.7 General
  • Problems
  • 3 Introduction to the analysis of statically indeterminate structures
  • 3.1 Introduction
  • 3.2 Statical indeterminacy
  • 3.3 Expressions for degree of indeterminacy
  • 3.4 General methods of analysis of statically indeterminate structures
  • 3.5 Kinematic indeterminacy
  • 3.6 Principle of superposition
  • 3.7 General
  • Problems
  • 4 Force method of analysis
  • 4.1 Introduction
  • 4.2 Description of method
  • Example 4.1 Structure with degree of indeterminacy =2
  • 4.3 Released structure and coordinate system
  • 4.3.1 Use of coordinate represented by a single arrow or a pair of arrows
  • 4.4 Analysis for environmental effects
  • 4.4.1 Deflected shapes due to environmental effects
  • Example 4.2 Deflection of a continuous beam due to temperature variation
  • 4.5 Analysis for different loadings
  • 4.6 Five steps of force method
  • Example 4.3 A stayed cantilever
  • Example 4.4 A beam with a spring support
  • Example 4.5 Simply-supported arch with a tie
  • Example 4.6 Continuous beam: support settlement and temperature change
  • Example 4.7 Release of a continuous beam as a series of simple beams
  • 4.7 Equation of three moments
  • Example 4.8 The beam of Example 4.7 analyzed by equation of three moments
  • Example 4.9 Continuous beam with overhanging end
  • Example 4.10 De?ection of a continuous beam due to support settlements.
  • 4.8 Moving loads on continuous beams and frames
  • Example 4.11 Two-span continuous beam
  • 4.9 General
  • Problems
  • 5 Displacement method of analysis
  • 5.1 Introduction
  • 5.2 Description of method
  • Example 5.1 Plane truss
  • 5.3 Degrees of freedom and coordinate system
  • Example 5.2 Plane frame
  • 5.4 Analysis for different loadings
  • 5.5 Analysis for environmental effects
  • 5.6 Five steps of displacement method
  • Example 5.3 Plane frame with inclined member
  • Example 5.4 A grid
  • 5.7 Analysis of effects of displacements at the coordinates
  • Example 5.5 A plane frame: condensation of stiffness matrix
  • 5.8 General
  • Problems
  • 6 Use of force and displacement methods
  • 6.1 Introduction
  • 6.2 Relation between flexibility and stiffness matrices
  • Example 6.1 Generation of stiffness matrix of a prismatic member
  • 6.3 Choice of force or displacement method
  • Example 6.2 Reactions due to unit settlement of a support of a continuous beam
  • Example 6.3 Analysis of a grid ignoring torsion
  • 6.4 Stiffness matrix for a prismatic member of space and plane frames
  • 6.5 Condensation of stiffness matrices
  • Example 6.4 End-rotational stiffness of a simple beam
  • 6.6 Properties of flexibility and stiffness matrices
  • 6.7 Analysis of symmetrical structures by force method
  • 6.8 Analysis of symmetrical structures by displacement method
  • Example 6.5 Single-bay symmetrical plane frame
  • Example 6.6 A horizontal grid subjected to gravity load
  • 6.9 Effect of nonlinear temperature variation
  • Example 6.7 Thermal stresses in a continuous beam
  • Example 6.8 Thermal stresses in a portal frame
  • 6.10 Effect of shrinkage and creep
  • 6.11 Effect of prestressing
  • Example 6.9 Post-tensioning of a continuous beam
  • 6.12 General
  • Problems
  • 7 Strain energy and virtual work
  • 7.1 Introduction
  • 7.2 Geometry of displacements.
  • 7.3 Strain energy
  • 7.3.1 Strain energy due to axial force
  • 7.3.2 Strain energy due to bending moment
  • 7.3.3 Strain energy due to shear
  • 7.3.4 Strain energy due to torsion
  • 7.3.5 Total strain energy
  • 7.4 Complementary energy and complementary work
  • 7.5 Principle of virtual work
  • 7.6 Unit-load and unit-displacement theorems
  • 7.7 Virtual-work transformations
  • Example 7.1 Transformation of a geometry problem
  • 7.8 Castigliano's theorems
  • 7.8.1 Castigliano's first theorem
  • 7.8.2 Castigliano's second theorem
  • 7.9 General
  • 8 Determination of displacements by virtual work
  • 8.1 Introduction
  • 8.2 Calculation of displacement by virtual work
  • 8.3 Displacements required in the force method
  • 8.4 Displacement of statically indeterminate structures
  • 8.5 Evaluation of integrals for calculation of displacement by method of virtual work
  • 8.5.1 Definite integral of product of two functions
  • 8.5.2 Displacements in plane frames in terms of member end moments
  • 8.6 Truss deflection
  • Example 8.1 Plane truss
  • Example 8.2 Deflection due to temperature: statically determinate truss
  • 8.7 Equivalent joint loading
  • 8.8 Deflection of beams and frames
  • Example 8.3 Simply-supported beam with overhanging end
  • Example 8.4 Deflection due to shear in deep and shallow beams
  • Example 8.5 Deflection calculation using equivalent joint loading
  • Example 8.6 Deflection due to temperature gradient
  • Example 8.7 Effect of twisting combined with bending
  • Example 8.8 Plane frame: displacements due to bending, axial and shear deformations
  • Example 8.9 Plane frame: flexibility matrix by unit-load theorem
  • Example 8.10 Plane truss: analysis by the force method
  • Example 8.11 Arch with a tie: calculation of displacements needed in force method
  • 8.9 General
  • Problems
  • 9 Further energy theorems
  • 9.1 Introduction.
  • 9.2 Betti's and Maxwell's theorems
  • 9.3 Application of Betti's theorem to transformation of forces and displacements
  • Example 9.1 Plane frame in which axial deformation is ignored
  • 9.4 Transformation of stiffness and flexibility matrices
  • 9.5 Stiffness matrix of assembled structure
  • Example 9.2 Plane frame with inclined member
  • 9.6 Potential energy
  • 9.7 General
  • Problems
  • 10 Displacement of elastic structures by special methods
  • 10.1 Introduction
  • 10.2 Differential equation for deflection of a beam in bending
  • 10.3 Moment-area theorems
  • Example 10.1 Plane frame: displacements at a joint
  • 10.4 Method of elastic weights
  • Example 10.2 Parity of use of moment-area theorems and method of elastic weights
  • Example 10.3 Beam with intermediate hinge
  • Example 10.4 Beam with ends encastre
  • 10.4.1 Equivalent concentrated loading
  • Example 10.5 Simple beam with variable I
  • Example 10.6 End rotations and transverse deflection of a member in terms of curvature at equally-spaced sections
  • Example 10.7 Bridge girder with variable cross section
  • 10.5 Method of finite differences
  • 10.6 Representation of deflections by Fourier series
  • Example 10.8 Triangular load on a simple beam
  • 10.7 Representation of deflections by series with indeterminate parameters
  • Example 10.9 Simple beam with a concentrated transverse load
  • Example 10.10 Simple beam with an axial compressive force and a transverse concentrated load
  • Example 10.11 Simple beam on elastic foundation with a transverse force
  • 10.8 General
  • Problems
  • 11 Applications of force and displacement methods: column analogy and moment distribution
  • 11.1 Introduction
  • 11.2 Analogous column: definition
  • 11.3 Stiffness matrix of nonprismatic member
  • 11.3.1 End rotational stiffness and carryover moment.