Chapter 1 INFLUENCE LINES FOR BEAMS

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 LOADS

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 loads
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

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 WALLS

4-1. Water pressure
4-2. Conditions of stability
4-3. The minimum bottom width for stability
4-4. Trapezoidal section with a sloping water face
4-5. Other forms of section
4-6. Resultant thrust outside the middle third
4-7. Retaining walls
4-8. The inclined plane
4-9. Rankine’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 – Häseler’s method
4-14. Minimum depth of foundation
Examples IV

Chapter 5 CABLES AND SUSPENSION BRIDGES

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

6-1. Metal arches
6-2. Linear arch or line of thrust
6-3. Bending moments: Eddy’s theorem
6-4. Three hinged arch
6-5. Braced three hinged arch
6-6. Graphical methods
6-7. Moving loads on three hinged arches
6-8. Temperature effects
Examples VI

Chapter 7 FORCES IN FRAMED STRUCTURES

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
7-9. Dynamical loads on bridges: Impact allowance
7-10. Wind pressure
7-11. Working stresses

Chapter 8 INDETERMINATE STRUCTURES

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

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
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

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
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
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

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

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

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