Structural analysis : a unified classical and matrix approach
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| Main Author | |
|---|---|
| Other Authors | , |
| Format | Electronic eBook |
| Language | English |
| Published |
London ; New York :
Spon Press,
2009.
|
| Edition | 6th ed. |
| Subjects | |
| Online Access | Full text |
| ISBN | 9781628707991 1628707992 9781498711043 1498711049 9780415774321 0415774322 9780415774338 0415774330 |
| Physical Description | 1 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.