Chapter 1:INFLUENCE LINES FOR BEAMS1-23 1-1. Introductory 1-2. Influence line 1-3. Influence lines for simple beam reactions 1-4. Influence lines for simple beam shears 1-5. Influence lines for simple beam moments 1-6. Uses of influence lines 1-7. Influence lines for girders with floor joists 1-8. Compound beams 1-9. Closure Examples I Chapter 2:ROLLING LOADS24-80 2-1. Rolling loads 2-2. Maximum shear in a beam supporting uniformly distributed loads 2-3. Maximum bending moments at sections in beams supporting uniformly distributed load 2-4.Maximum shear at sections in a beam supporting two concentrated loads 2-5. Maximum moment at sections in a beam supporting two concentrated loads 2-6. Maximum end shear in a beam supporting a series of moving concentrated loads 2-7. Maximum shear at sections of beams supporting a series of moving concentrated loads 2-8.Maximum moment at a section in a beam supporting a series of moving concentrated load 2-9. Absolute maximum moment in a beam supporting a series of moving concentrated loads 2-10. Maximum S.F. and maximum B.M. diagrams 2-11. Equivalent uniformly distributed load 2-12. Combined dead load and moving load S.F. diagrams: Focal length Examples II Chapter 3:INFLUENCE LINES FOR TRUSSES ..81-100 3-1. Introductory 3-2. Bridge floor system 3-3. Influence lines for truss reactions 3-4. Influence lines for member forces 3-5. Determination of maximum forces 3-6. Counters in bridge trusses 3-7. Influence lines for non-parallel chord trusses Examples III Chapter 4:MASONRY DAMS AND RETAINING WALLS4.1Water pressure 4.2Conditions of stability 4.3The minimum bottom width for stability 4.4Trapezoidal section with a sloping water face 4.5Other forms of section 4.6Resultant thrust outside the middle third 4.7Retaining walls 4.8The inclined plane 4.9Rankine's theory of earth pressure 4-10. Retaining wall of trapezoidal section, earth level with the top of the wall 4-11. Surcharged retaining wall 4-12. Graphical methods 4-13. Wedge theory of earth pressure: Rebhann-Haseler's method 4-14. Minimum depth of foundation Examples IV Chapter 5:CABLES AND SUSPENSION BRIDGES .175-235 5-1. Equilibrium of a light suspended cord under a given system of loading 5.2 Shape of the cord 5.3 Light suspension bridges 5.4 Cable supports at different levels 5.5 Anchor cables 5.6 Temperature stresses 5.7 The Catenary 5.8 Moving loads on suspension bridges 5.9 Suspension bridge with three hinged stiffening girders 5-10. Two hinged stiffening girder 5-11. Temperature stresses in stiffening girder Examples V Chapter 6:THREE HINGED ARCHES 236 6-1. Metal arches 6-2. Linear arch or line of thrust 6.3Bending moments: Eddy's theorem 6.4Three hinged arch 6.5 Braced three hinged arch 6.6Graphical methods 6.7 Moving loads on three hinged arches 6.8 Temperature effects Examples VI Chapter 7:FORCES IN FRAMED STRUCTURES 282-315 7_1 Framed structures with sub-divided panels 7-2. Pratt truss with parallel chords and sub-struts: through type 7.3. Pratt truss with parallel chords and sub-ties: deck type 7.4. Pratt truss with non-parallel chords 7.5 Warren truss with sub-divided panels 7.6 Rolling loads: Influence lines 7.7 Pratt truss with inclined chord: Influence lines 7.8 The Wichert Truss ,-. Dynamical loads on bridges: Impact allowance 7-10. Wind pressure 7-11. Working stresses Chapter 8:INDETERMINATE STRUCTURES 316-344 8-1. Determinateness of the structure 8-2. Use of indeterminate structures 8-3. Methods of analysis 8-4. Approximate analysis of indeterminate structures 8-5.Truss with two hinges 8-6.Trusses with two diagonals in each panel 8-7. Industrial frame 8-8. Building frames subjected to gravity loads 8-9. Building frames subjected to lateral loads 8-10. The portal method 8-11. The cantilever method 8-12. Vierendeel truss Examples VIII Chapter 9:DEFLECTIONS I 345-414 9-1. Introductory 9-2. Moment area method 9-3. Method of elastic weights 9-4. Conjugate beam method 9-5. Virtual work - unit load method: Basic formula 9-6. The unit load method applied to deflections of beams and frames 9-7. The unit load method applied to beam rotations 9-8.Strain energy 9-9. Castigliano's first theorem 9-10. Castigliano's first theorem applied to beam deflections and rotations Examples IX Chapter 10: DEFLECTIONS II ..415-472 DEFLECTION OF FRAMED STRUCTURES 10-1. The unit load method applied to deflections of trusses 10-2. The first theorem of Castigliano 10-3. Graphical methods: Williot-Mohr diagrams 10-4. Maxwell's theorem of reciprocal deflections 10-5. Influence line for deflection Examples X Chapter 11: CONSISTENT DEFORMATION I .. 473-545 11-1. The method of consistent deformation 11-2. Beams with one redundant 11-3. Beams with two or more redundants 11-4. Continuous beams 11-5. Fixed beams 11-6. Support settlement 11-7.Influence lines for indeterminate beams 11-8. Qualitative influence lines Examples XI Chapter 12: CONSISTENT DEFORMATION II .. 546-582 ANALYSIS OF INDETERMINATE TRUSSES 12-1. Externally redundant trusses 12-2. Internally redundant trusses 12-3. Externally and internally redundant trusses 12-4. Secondary forces 12-5. Influence lines for statically indeterminate trusses Examples XII Chapter 13: LEAST WORK AND THEOREM OF THREE MOMENT .. 583-649 13-1. The second theorem of Castigliano: Principle of least work or minimum strain-energy 13-2. Portal frames 13-3. The three moment theorem 13-4. Support settlement Examples XIII Chapter 14: INDETERMINATE ARCHES .. 650-692 14-1. Bending of a curved bar 14-2. Two-hinged arch 14-3. Moving loads on two-hinged arches 14-4. Temperature stresses 14-5. Fixed arch 14-6. Temperature stresses 14-7. Two-hinged arch: Strain energy method 14-8. Suspension cable with a two-hinged stiffening girder 14-9. The masonry arch 14-10. Fuller's test for stability of an arch Examples XIV Chapter 15: SLOPE DEFLECTION METHOD .. 693-724 15-1. Introduction 15-2. Sign conventions 15-3. Development of slope deflection equations: Assumptions 15-4. Modification for simple ends 15-5. Frames with no side-sway 15-6. Frames with side-sway Examples XV Chapter 16: MOMENT DISTRIBUTION METHOD .. 725-809 16-1. Introductory 16-2. Description of the method 16-3. Carry-over moment 16-4. Distribution factors 16-5. Definitions 16-6. Sign conventions 16-7.Fixed end moments 16-8. Application of method 16-9. Modification of stiffness for simple ends 16-10. Shear and moment diagrams 16-11. Overhanging beams MOMENT DISTRIBUTION FOR FRAMES 16-12. Frames with side-sway prevented 16-13. Frames with side-sway 16-14. Portal frames with inclined members Examples XVI Chapter 17: COLUMN ANALOGY METHOD 810-867 17-1.Introductory 17-2. The method 17-3. Stiffness and carry-over factor 17-4. Maxwell's reciprocal law 17-5. Analysis of frames by column analogy method 17-6. Analysis of gable frames 17-7.Analysis of unsymmetrical frames Examples XVII Chapter 18: THE ELASTIC CENTRE . 868-892 18-1. Introductory 18-2. The fixed-base portal frame 18-3. The elastic centre 18-4. Fixed arches 18-5. Circular arch 18-6. Two-hinged arches Examples XVIII Chapter 19: THE RECIPROCAL THEOREM 893-913 19-1. Introductory 19-2. The reciprocal theorem 19-3. Influence coefficients 19-4. Proof 19-5. Models Examples XIX Chapter 20: PLASTIC THEORY .. 914-956 20-1. Limit design: Load factor 20-2. Plastic bending: Plastic hinge: Shape factor 20-3. Simply supported beams 20-4. Propped cantilevers 20-5. Encastre beams ' 20-6. Design of beams 20-7.Continuous beams 20-8. Portal frames 20-9. Analytical methods: Virtual work 20-10. Combined bending and axial load Examples XX Chapter 21: INTRODUCTION TO MATRIX METHODS OF ANALYSIS .957-967 21-1. Actions and displacements 21-2. Equilibrium and compatibility 21-3. Static and kinematic indeterminacy 21-4. Structural mobilities 21-5. Flexibility and stiffness 21-6. General case 21-7.Closure INDEX . 968-970