Structural analysis : principles, methods and modelling

Content: Introduction    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    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    Problems    Internal 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    Problems    Statically 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    Trusses with loaded members    Space trusses    Problems    Euler-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)    Relationship between bending moment, shear force and member loading    Problems    Slope-deflection methods    Introduction    Method of double integration with step functions    Moment-area method    Conjugate beam method    The slope-deflection equations    Problems    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    Problems    The force method    Introduction    The force method applied to trusses    The force method applied to beams and frames    Problems    Moment distribution    Introduction    Basic concepts    Continuous beams    Frames without sidesway    Frames with sidesway    Problems    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    Assembling    Solution procedure    Calculation of internal actions    Nodal coordinates    Space truss    Problems    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    Problems    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    Problems    Introduction to the finite element method    Introduction    Euler-Bernoulli beam model    Timoshenko beam model    Problems    Introduction to the structural stability of columns    Introduction    Assumptions    Critical load from equilibrium    Critical load from potential energy    Buckling of an elastic column    Effective buckling length    Buckling stresses    Imperfections in columns    Problems    Introduction 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