Structural Analysis 2

Salah Khalfallah is Professor at the National Polytechnic School of Constantine (ENPC), Algeria. He teaches Continuum Mechanics, Mechanical Vibrations and Finite Element Methods. His research is focused on the analysis of the nonlinear behavior of structures, the dynamics of soil–structure interactions and, since his transfer to the ENPC, biomechanics.

• Preface ixChapter 1. Introduction to Statically Indeterminate Structural Analysis 11.1. Introduction 11.2. External static indeterminacy 21.3. Internal static indeterminacy 51.3.1. Truss structures 51.3.2. Beam and frame structures 71.3.3. Crossbeams 91.4. Kinematic static indeterminacy 111.5. Statically indeterminate structural analysis methods 151.6. Superposition principle 161.7. Advantages and disadvantages of statically indeterminate structures 171.7.1. Advantages of statically indeterminate structures 181.7.2. Disadvantages of statically indeterminate structures 191.8. Conclusion 211.9. Problems 21Chapter 2. Method of Three Moments 252.1. Simple beams 252.2. Continuous beam 372.3. Applying Clapeyron's theorem 432.3.1. Beam with two spans 442.3.2. Beam with support settlements 462.3.3. Beam with cantilever 492.4. Focus method 512.4.1. Left focus method 522.4.2. Right focus method 542.4.3. Focus method with loaded bays 572.5. Conclusion 632.6. Problems 63Chapter 3. Method of Forces 673.1. Beam with one degree of static indeterminacy 673.2. Beam with many degrees of static indeterminacy 723.3. Continuous beam with support settlements 773.4. Analysis of a beam with two degrees of static indeterminacy 803.5. Analysis of a beam subjected to a moment 843.6. Analysis of frames 873.6.1. Frame with two degrees of static indeterminacy 873.6.2. Frame with cantilever 933.6.3. Frame with many degrees of static indeterminacy 1003.6.4. Frame with oblique bars 1063.7. Analysis of truss 1133.7.1. Internally statically indeterminate truss 1143.7.2. Externally statically indeterminate truss 1213.7.3. Internally and externally statically indeterminate truss 1253.8. Conclusion 1293.9. Problems 130Chapter 4. Slope-Deflection Method 1374.1. Relationship between deflections and transmitted moments 1374.2. Fixed-end moments 1414.2.1. Bi-hinged beam 1414.2.2. Simply supported beam 1424.3 Rigidity factor and transmission coefficient 1424.4. Beam analysis 1484.4.1. Single span beam 1484.4.2. Continuous beam 1504.4.3. Continuous beam with cantilever 1534.4.4. Beam with support settlements 1564.4.5. Beam subjected to a moment 1604.5. Analysis of frames 1644.5.1. Frame without sidesway 1644.5.2. Frames with sidesway 1824.6. Conclusion 2084.7. Problems 208Chapter 5. Moment-Distribution Method 2135.1. Hypotheses of the moment-distribution method 2135.2. Presentation of the moment-distribution method 2145.2.1. Distribution of a moment around a rigid joint 2145.2.2. Distribution procedure 2165.3. Continuous beam analysis 2195.3.1. Beam with support settlement 2205.3.2. Beam with cantilever 2245.3.3. Beam subjected to a moment 2275.4. Analysis of frames 2295.4.1. Frame without sidesway 2295.4.2. Frame with sidesway 2345.5. Conclusion 2645.6. Problems 265Chapter 6. Influence Lines of Statically Indeterminate Structures 2716.1. Introduction 2716.2. Influence lines of beams 2726.2.1. Beam with one degree of static indeterminacy 2726.2.2. Beam with two degrees of static indeterminacy 2796.3. Influence lines of frames 2866.4. Influence lines of trusses 2906.4.1. Internally statically indeterminate truss 2926.4.2. Externally statically indeterminate truss 3006.5. Conclusion 3046.6. Problems 304Chapter 7. Statically Indeterminate Arch Analysis 3097.1. Introduction 3097.2. Classification of arches 3107.3. Semicircular arch under concentrated load 3117.4. Parabolic arch under concentrated load 3217.5. Semicircular arch under distributed load 3267.6. Parabolic arch under distributed load 3317.7. Semicircular arch fixed under concentrated load 3377.8. Statically indeterminate tied arch 3457.9. Arch with many degrees of freedom 3507.10. Influence lines of statically indeterminate arch 3567.10.1. Influence lines of bi-hinged arch 3567.10.2. Influence line of fixed-end arch 3607.11. Conclusion 3647.12. Problems 365Appendix 371Bibliography 375Index 379