Preface |
|
xiii | |
Acknowledgements |
|
xv | |
Disclaimer |
|
xvii | |
Authors |
|
xix | |
|
|
1 | (38) |
|
|
1 | (1) |
|
1.2 Factors affecting structural form |
|
|
1 | (1) |
|
|
2 | (5) |
|
|
2 | (1) |
|
|
3 | (1) |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
6 | (1) |
|
|
7 | (17) |
|
1.4.1 Simply supported beam/slab |
|
|
8 | (1) |
|
1.4.2 Series of simply supported beams/slabs |
|
|
8 | (1) |
|
1.4.3 Continuous beam/slab with full propping during construction |
|
|
8 | (1) |
|
1.4.4 Partially continuous beam/slab |
|
|
9 | (3) |
|
1.4.5 Continuous beam/slab: Span-by-span construction |
|
|
12 | (1) |
|
1.4.6 Continuous beam/slab: Balanced cantilever construction |
|
|
13 | (3) |
|
1.4.7 Continuous beam/slab: Push-launch construction |
|
|
16 | (1) |
|
|
16 | (3) |
|
1.4.9 Frame or box culvert integral bridge |
|
|
19 | (2) |
|
1.4.10 Beams/slabs with drop-in span |
|
|
21 | (1) |
|
1.4.11 Cable-stayed bridges |
|
|
22 | (2) |
|
1.4.12 Suspension bridges |
|
|
24 | (1) |
|
|
24 | (3) |
|
|
27 | (2) |
|
|
27 | (1) |
|
|
28 | (1) |
|
1.6.3 Elastomeric bearings |
|
|
28 | (1) |
|
|
29 | (3) |
|
|
30 | (1) |
|
1.7.2 Aspbaltic plug joint |
|
|
30 | (1) |
|
|
30 | (1) |
|
1.7.4 Reinforced elastomeric joint |
|
|
31 | (1) |
|
1.7.5 Elastomeric in metal runners joint |
|
|
31 | (1) |
|
1.7.6 Cantilever comb or tooth joint |
|
|
32 | (1) |
|
|
32 | (7) |
|
1.8.1 Single-span beam/slab/frame bridges of constant depth |
|
|
33 | (1) |
|
|
34 | (5) |
|
|
39 | (34) |
|
|
39 | (1) |
|
|
40 | (1) |
|
2.3 Imposed traffic loading |
|
|
41 | (5) |
|
|
41 | (1) |
|
2.3.2 Nature of road traffic loading |
|
|
41 | (3) |
|
2.3.3 Code models for road traffic |
|
|
44 | (1) |
|
2.3.4 Imposed loading due to rail traffic |
|
|
45 | (1) |
|
|
46 | (1) |
|
|
47 | (1) |
|
|
47 | (1) |
|
|
47 | (9) |
|
2.5.1 Uniform changes in temperature |
|
|
48 | (2) |
|
2.5.2 Differential changes in temperature |
|
|
50 | (6) |
|
|
56 | (1) |
|
|
57 | (4) |
|
|
61 | (12) |
|
2.8.1 Equivalent loads and linear transformation |
|
|
61 | (6) |
|
|
67 | (2) |
|
2.8.3 Non-prismatic bridges |
|
|
69 | (4) |
|
3 Introduction to bridge analysis |
|
|
73 | (36) |
|
|
73 | (1) |
|
3.2 Positioning the traffic load model on the bridge |
|
|
73 | (4) |
|
3.3 Differential settlement of supports |
|
|
77 | (1) |
|
3.4 Thermal expansion and contraction |
|
|
78 | (5) |
|
3.4.1 Equivalent loads method |
|
|
81 | (2) |
|
3.5 Differential temperature effects |
|
|
83 | (13) |
|
3.5.1 Temperature effects in three dimensions |
|
|
93 | (3) |
|
|
96 | (6) |
|
3.7 Analysis for the effects of creep |
|
|
102 | (7) |
|
|
109 | (28) |
|
|
109 | (7) |
|
4.1.1 Integral construction |
|
|
109 | (2) |
|
4.1.2 Lateral earth pressures on abutments |
|
|
111 | (3) |
|
|
114 | (2) |
|
4.2 Contraction of bridge deck |
|
|
116 | (4) |
|
4.2.1 Contraction of bridge fully fixed at the supports |
|
|
116 | (1) |
|
4.2.2 Contraction of bridge on flexible supports |
|
|
116 | (4) |
|
4.3 Conventional spring model for deck expansion |
|
|
120 | (3) |
|
4.4 Modelling expansion with an equivalent spring at deck level |
|
|
123 | (8) |
|
4.4.1 Development of general expression |
|
|
123 | (3) |
|
4.4.2 Expansion of frames with deep abutments |
|
|
126 | (2) |
|
4.4.3 Expansion of bank-seat abutments |
|
|
128 | (3) |
|
|
131 | (2) |
|
4.6 Time-dependent effects in composite integral bridges |
|
|
133 | (4) |
|
5 Slab bridge decks: Behaviour and modelling |
|
|
137 | (52) |
|
|
137 | (1) |
|
|
137 | (18) |
|
5.2.1 Orthotropic and isotropic plates |
|
|
137 | (1) |
|
5.2.2 Bending of materially orthotropic thin plates |
|
|
138 | (6) |
|
5.2.3 Stress in materially orthotropic thin plates |
|
|
144 | (2) |
|
5.2.4 Moments in materially orthotropic thin plates |
|
|
146 | (7) |
|
5.2.5 Shear in thin plates |
|
|
153 | (2) |
|
5.3 Grillage analysis of slab decks |
|
|
155 | (13) |
|
5.3.1 Similitude between grillage and bridge slab |
|
|
156 | (2) |
|
5.3.2 Grillage member properties: Isotropic slabs |
|
|
158 | (4) |
|
5.3.3 Grillage member properties: Geometrically orthotropic slabs |
|
|
162 | (2) |
|
5.3.4 Computer implementation of grillages |
|
|
164 | (1) |
|
5.3.5 Sources of inaccuracy in grillage models |
|
|
164 | (2) |
|
5.3.6 Shear force near point supports |
|
|
166 | (1) |
|
5.3.7 Recommendations for grillage modelling |
|
|
166 | (2) |
|
5.4 Planar finite element analysis of slab decks |
|
|
168 | (14) |
|
5.4.1 FE theory: Beam elements |
|
|
168 | (3) |
|
5.4.2 FE theory: Plate elements |
|
|
171 | (4) |
|
5.4.3 Similitude between plate FE model and bridge slab |
|
|
175 | (1) |
|
5.4.4 Properties of plate finite elements |
|
|
176 | (2) |
|
5.4.5 Shear forces in plate FE models |
|
|
178 | (1) |
|
5.4.6 Recommendations for FE analysis |
|
|
179 | (3) |
|
5.5 Wood and Armer equations |
|
|
182 | (7) |
|
5.5.1 Resistance to twisting moment |
|
|
186 | (1) |
|
|
187 | (2) |
|
6 Application of planar grillage and finite element methods |
|
|
189 | (36) |
|
|
189 | (1) |
|
6.2 Simple isotropic slabs |
|
|
189 | (3) |
|
6.3 Edge cantilevers and edge stiffening |
|
|
192 | (8) |
|
6.4 Voided slab bridge decks |
|
|
200 | (6) |
|
6.5 Beam-and-slab bridges |
|
|
206 | (9) |
|
|
207 | (6) |
|
6.5.2 Finite element modelling |
|
|
213 | (2) |
|
6.5.3 Transverse local behaviour of beam-and-slab bridges |
|
|
215 | (1) |
|
|
215 | (7) |
|
|
216 | (6) |
|
6.7 Skew and curved bridge decks |
|
|
222 | (3) |
|
|
223 | (1) |
|
|
224 | (1) |
|
7 Three-dimensional modelling of bridge decks |
|
|
225 | (26) |
|
|
225 | (1) |
|
7.2 Shear lag and effective flange width |
|
|
225 | (3) |
|
7.2.1 Effective flange width |
|
|
226 | (2) |
|
7.3 Three-dimensional analysis using brick elements |
|
|
228 | (11) |
|
7.3.1 Interpretation of results of brick models |
|
|
228 | (11) |
|
7.4 Upstand grillage modelling |
|
|
239 | (1) |
|
7.5 Upstand finite element modelling |
|
|
240 | (11) |
|
7.5.1 Upstand finite element modelling of voided slab bridge decks |
|
|
244 | (3) |
|
7.5.2 Upstand FE modelling of other bridge types |
|
|
247 | (1) |
|
7.5.3 Prestress loads in upstand FE models |
|
|
248 | (3) |
|
8 Probabilistic assessment of bridge safety |
|
|
251 | (26) |
|
|
251 | (1) |
|
8.2 Code treatment of probability of failure |
|
|
252 | (4) |
|
|
253 | (1) |
|
|
254 | (1) |
|
8.2.3 Nordic Committee on Building Regulations |
|
|
255 | (1) |
|
8.2.4 International Federation for Structural Concrete Bulletin 65 |
|
|
255 | (1) |
|
|
256 | (1) |
|
8.3 Calculation of the probability of failure, Pf |
|
|
256 | (6) |
|
8.3.1 Basic statistical concepts |
|
|
258 | (4) |
|
|
262 | (6) |
|
8.4.1 Reinforced concrete |
|
|
263 | (2) |
|
8.4.2 Prestressed concrete |
|
|
265 | (1) |
|
|
265 | (1) |
|
|
266 | (1) |
|
8.4.5 Material model uncertainty |
|
|
266 | (2) |
|
8.5 Deterioration modelling |
|
|
268 | (5) |
|
|
273 | (1) |
|
8.6.1 Permanent and quasi-permanent loads |
|
|
273 | (1) |
|
8.6.2 Variable imposed loads |
|
|
274 | (1) |
|
8.7 Probabilistic assessment of LS violation |
|
|
274 | (1) |
|
8.8 Component vs. system reliability analysis |
|
|
275 | (2) |
|
|
277 | (26) |
|
|
277 | (1) |
|
9.2 Reinforced concrete beam-and-slab deck |
|
|
277 | (10) |
|
|
277 | (3) |
|
9.2.2 Probabilistic classification and modelling |
|
|
280 | (5) |
|
9.2.3 Results of probabilistic assessment |
|
|
285 | (2) |
|
9.3 Post-tensioned concrete slab deck |
|
|
287 | (6) |
|
|
288 | (1) |
|
9.3.2 Probabilistic classification and modelling |
|
|
289 | (2) |
|
9.3.3 Results of probabilistic assessment |
|
|
291 | (2) |
|
|
293 | (8) |
|
|
294 | (2) |
|
9.4.2 Probabilistic classification and modelling |
|
|
296 | (3) |
|
9.4.3 Results of probabilistic assessment |
|
|
299 | (2) |
|
|
301 | (2) |
References |
|
303 | (6) |
Appendix A Stiffness of structural members and associated bending moment diagrams |
|
309 | (2) |
Appendix B Location of centroid of a section |
|
311 | (2) |
Appendix C Derivation of shear area for grillage member representing cell with flange and web distortion |
|
313 | (2) |
Index |
|
315 | |