STRUCTURAL ANALYSIS// R.C. Hibbeler

1. Types of structures and loads. 1.1 Introduction. 1.2 Classification of structures. 1.3 Loads. 2. The analysis of statically determinate structures. 2.1 Support reactions and the idealized structure. 2.2 Principle of superposition. 2.3 Equilibrium of a structural member. 2.4 Equilibrium of a Pin-connected structures. 2.5 Stability and determinacy. 3. Internal forces developed in structural members. 3.1 Internal loadings at a specified point. 3.2 Shear and moment functions. 3.3 Shear and bendings-moment diagrams for beams. 3.4 Shear and bending-moment diagrams for frames. 3.5 Moment diagrams constructed by the methods of superposition. 4. Analysis statically determinate trusses. 4.1 Common types of trusses. 4.2 Simple trusses. 4.3 The methods of joints. 4.4 Zero-force members. 4.5 The methods of section. 4.6 Compound trusses. 4.7 Complex trusses. 4.8 Determinacy and stability. 4.9 Space trusses. 5. Influences lines for statically determinate structures. 5.1 Influences lines. 5.2 Influences lines for beams. 5.3 Qualitative influences lines. 5.4 Influences lines for floor girders. 5.5 Influences lines for trusses. 5.6 Live loads for bridges. 5.7 Maximum shear and moment at a point due to a series of concentrated loads. 5.8 Absolute maximum shear and moment problems. 6. Approximate analysis of statically indeterminate structures. 6.1 Use of approximate methods. 6.2 Trusses. 6.3 Vertical loads on building frames. 6.4 Portal frames and trusses: Portal methods. 6.6 Lateral loads on building frames: Cantilever methods problems. 7. Deflections. 7.1 Deflection diagrams. 7.2 The moment area theorems. 7.3 The conjugate beam methods. 7.4 External and internal work. 7.5 The equation of virtual work. 7.6 Methods of virtual work: trusses. 7.7 Methods of virtual work: Beams and frames. 7.8 Castigliano's theorem for trusses. 7.10 Castigliono's theorem for beam and frames problems. 8. Statically indeterminate analysis of structures. 8.1 Methods of consistent displacements: General procedures. 8.2 Maxwell's theorem of reciprocal deflections. Bette's Law. 8.3 Methods of consistent displacements: Beams. 8.4 Methods of consistent displacements: Frames. 8.5 Methods of consistent displacement Trusses. 8.6 Composite structures. 8.7 The three-moment equation. 8.8 Influence lines for statically indeterminate beams. 8.9 Qualitative influences lines for frames problems. 9. Slope-deflection methods. 9.1 Slope-deflection equations. 9.2 Analysis of beams. 9.3 Analysis of frames: No sideways. 9.4 Analysis of frames: sidesway. 10. Moment distribution. 10.1 General principles and definitions. 10.2 Moment distribution for beams. 10.3 Stiffness modifications. 10.4 Moment distribution for frames: No sideway. 10.5 Moment distribution for frames: sidesway. 10.6 Moment distribution of multistory frames. 11. Analysis of beams and frames consisting of non-prismatic members. 11.1 Deflections of non-prismatic members. 11.2 Loading properties of non-prismatic members using the conjugate-beam methods. 11.3 Loading properties of non-prismatic members. 11.4 Moment distribution for structures having non-prismatic members. 11.5 The slope-deflection equation for non-prismatic members. 12. Matrix algebra for structural analysis. 12.1 Basic definitions and types of matrices. 12.2 Matrix operations. 12.3 Determinants. 12.4 Inverse of a matrix. 12.5 The gauss methods for solving simultaneous equations. 13. Truss analysis using the stiffness methods. 13.1 Introduction. 13.2 Truss member stiffness matrix. 13.3 Displacement and force transformation matrices. 13.4 Member global stiffness matrix. 13.5 Structures stiffness matrix. 13.6 Applications of the stiffness methods for truss analysis. 13.7 Space truss analysis. 14. Plane frame analysis using the stiffness methods. 14.1 Frame elements. 14.2 Frame member stiffness matrix. 14.3 Displacement and force transformation matrices. 14.4 Element global stiffness matrix. 14.5 Application of the stiffness methods for frame analysis.

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