Excessive long-time deflections of prestressed box girders. II: Numerical analysis and lessons learned

Journal of Structural Engineering (United States)

Volumn 138, Issue 6, 2012, Pages 687-696

  Bažant, Zdeněk P ^a   Yu, Qiang ^a   Li, Guang Hua ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Bridges; Design standards; Kelvin chain; Prestressed concrete; Relaxation; Segmental erection; Shear lag

Indexed keywords

BOX GIRDER; COMMERCIAL SOFTWARE; COMPLIANCE FUNCTION; COMPUTER RESULTS; CONCRETE CREEP; CONSTRUCTION SEQUENCE; CROSS SECTION; DESIGN STANDARD; DISCRETIZATIONS; EFFECTIVE STIFFNESS; ELASTICITY PROBLEMS; EXPONENTIAL ALGORITHMS; FINITE ELEMENT; HUMIDITY CONDITIONS; INELASTIC STRAIN; INTEGRATION POINTS; LARGE DEFLECTION; LINEAR VISCOELASTICITY; MATERIAL MODELS; NUMERICAL PROCEDURES; PACIFIC ISLANDS; PRE-STRESSED; RELAXATION; SEGMENTAL ERECTION; SHEAR LAG; SHRINKAGE STRAINS; THICK SHELLS; TIME STEP; UNCONDITIONALLY STABLE;

ABAQUS; BRIDGES; CREEP; ELASTICITY; NUMERICAL ANALYSIS; PRESTRESSED CONCRETE; SHRINKAGE; THREE DIMENSIONAL;

BOX GIRDER BRIDGES;

EID: 84862579608     PISSN: 07339445     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)ST.1943-541X.0000375     Document Type: Review

References (51)

1. ABAM Engineers Inc. (ABAM). (1993). Basis for design, Koror-Babeldaob bridge repairs. Rep. submitted to Bureau of Public Works, Koror, Republic of Palau, October.
2. Abdel-Samad, S. R., Wright, R. N., and Robinson, A.-R. (1968). Analysis of box girders with diaphragms. J. Struct. Div., Proc. ASCE, 94 (ST10), 2231-2255.
3. ACI Committee 209 (ACI). (1971). Prediction of creep, shrinkage and temperature effects in concrete structures. ACI-SP27, Farmington Hills, MI, 51-93.
4. ACI Committee 209 (ACI). (2008). Guide for modeling and calculating shrinkage and creep in hardened concrete. ACI Report 209.2R-08, Farmington Hills, MI.
5. Baant, Z. P. (1967). Linear creep problems solved by a succession of generalized thermoelasticity problems. Acta Technica SAV, 12, 581-594.
6. Baant, Z. P. (1968 a). Langzeitige Durchbiegungen von Spannbetonbrücken infolge des Schwingkriechens unter Verkehrslasten. (Long-time deflections of prestressed concrete bridges due to cyclic creep under traffic loads). Beton und Stahlbetonbau, 63, 282-285.
7. Baant, Z. P. (1968 b). On causes of excessive long-time deflections of prestressed concrete bridges. Creep under repeated live load. Inenrské Stavby, 16, 317-320 (in Czech).
8. Baant, Z. P. (1971). Numerically stable algorithm with increasing time steps for integral-type aging creep. Proc. First Int. Conf. on Struct. Mech. in Reactor Tech. (SMiRT-1), T. A. Jaeger, ed., Vol. 4, Part, Bundesanstalt für Materialforschung und-prüfung (BAM), Berlin, 119-126.
9. Baant, Z. P. (1975). Theory of creep and shrinkage in concrete structures: A précis of recent developments. Mechanics Today, S. Nemat-Nasser, ed., Vol. 2, Pergamon Press, Oxford, U. K., 1-93.
10. Baant, Z. P. (1982). Mathematical models of nonlinear behavior and fracture of concrete. Nonlinear numerical analysis of reinforced concrete, L. E. Schwer, ed., ASME, New York, 1-25.
11. Baant, Z. P. (2000). Criteria for rational prediction of creep and shrinkage of concrete. ACI SP-194, A. Al-Manaseer, ed., ACI, Farmington Hills, MI, 237-260.
12. Baant, Z. P., and Baweja, S. (1995). Creep and shrinkage prediction model for analysis and design of concrete structures: Model B3. Mater. Struct., 28 (6), 357-367.
13. Baant, Z. P., and Baweja, S. (2000). Creep and shrinkage prediction model for analysis and design of concrete structures: Model B3. ACI SP-194, A. Al-Manaseer, ed., ACI, Farmington Hills, MI, 1-83.
14. Baant, Z. P., Hauggaard, A. B., Baweja, S., and Ulm, F.-J. (1997). Microprestress-solidification theory for concrete creep. I. Aging and drying effects. J. Eng. Mech., 123 (11), 1188-1194.
15. Baant, Z. P., and Kaplan, M. F. (1996). Concrete at high temperatures: Material properties and mathematical models, Longman (Addison-Wesley), London.
16. Baant, Z. P., and Kim, J.-K. (1992). Improved prediction model for time-dependent deformations of concrete: Part 5-Cyclic load and cyclic humidity. Mater. Struct., (RILEM, Paris), 25 (147), 163-169.
17. Baant, Z. P., and Li, Y. N. (1997). Cohesive crack with rate-dependent opening and viscoelasticity: I. Mathematical model and scaling. Int. J. Fract., 86 (3), 247-265.
18. Baant, Z. P., and Panula, L. (1979). Practical prediction of time-dependent deformations of concrete: Part 6-Cyclic creep, nonlinearity and statistical scatter. Mater. Struct., (RILEM, Paris), 12, 175-183.
19. Baant, Z. P., and Prasannan, S. (1988). Solidification theory for aging creep. Cement Concr. Res., 18 (6), 923-932.
20. Baant, Z. P., and Prasannan, S. (1989 a). Solidification theory for concrete creep: I. Formulation. J. Eng. Mech., 115 (8), 1691-1703. (Pubitemid 21685925)
21. Baant, Z. P., and Prasannan, S. (1989 b). Solidification theory for concrete creep: II. Verification and application. J. Eng. Mech., 115 (8), 1704-1725. (Pubitemid 21685924)
22. Baant, Z. P., Sener, S., and Kim, J. K. (1987). Effect of cracking on drying permeability and diffusivity of concrete. ACI Mater. J., 84, 351-357.
23. Baant, Z. P., and Xi, Y. (1995). Continuous retardation spectrum for solidification theory of concrete creep. J. Eng. Mech., 121 (2), 281-288.
24. Benscoter, S. U. (1954). A theory of torsion bending for multi-cell beams. J. Appl. Mech. ASME, 21 (1), 25-34.
25. Berger/ABAM Engineers Inc. (Berger/ABAM). (1995). Koror-Babeldaob Bridge modifications and repairs. Internal rep., October 1995, Federal Way, WA.
26. Brooks, J. J. (1984). Accuracy of estimating long-term strains in concrete. Mag. Concr. Res., 36 (128), 131-145. (Pubitemid 15437474)
27. Brooks, J. J. (2005). 30-year creep and shrinkage of concrete. Mag. Concr. Res., 57 (9), 545-556. (Pubitemid 41549827)
28. Buckler, J. D., and Scribner, C. F. (1985). Relaxation characteristics of prestressing strand. Engineering Studies, Rep. No. UILU-ENG-85-2011, Univ. of Illinois, Urbana, IL.
29. Comité Euro-International du Béton (CEB). (1990). CEB-FIB Model Code 1990: Model Code for Concrete Structures, Thomas Telford, London.
30. Cottrell, A. H. (1964). The mechanical properties of matter, Wiley, New York.
31. DRC Consultants Inc. (DRC). (1996). Koror-Babelthuap bridge: Force distribution in bar tendons. Internal Rep., February 1990, New York.
32. Fédération Internationale de Béton (FIB). (2010). Draft of FIB Model Code, Lausanne, Switzerland.
33. Gaede, K. (1962). Versuche über die Festigkeit und die Verformungen von Beton bei Druck-Schwellbeansruchung. Deutscher Ausschufür Stahlbeton, Vol. 144, W. Ernst & Sohn, Berlin.
34. Hirst, G. A., and Neville, A. M. (1977). Activation energy of concrete under short-term static and cyclic stresses. Mag. Concr. Res., 29 (98), 13-18.
35. Japan International Cooperation Agency (JICA). (1990). Present condition survey of the Koror-Babelthuap bridge. Internal Rep., February 1990, Tokyo.
36. Jirásek, M., and Baant, Z. P. (2002). Inelastic analysis of structures, Wiley, London.
37. Kern, E., and Mehmel, A. (1962). Elastische und plastische Stauchungen von Beton infolge Druckschwell-und Standbelastung. Deutscher Ausschufür Stahlbeton, Vol. 153, W. Ernst & Sohn, Berlin.
38. Kístek, V., Baant, Z. P., Zich, M., and Kohoutková (2006). Box girder deflections: Why is the initial trend deceptive?. ACI SP-194, Farmington Hills, MI, 237-260.
39. Kístek, V., Vráblík, L., and Baant, Z. P., Li, G-H., and Yu, Q. (2008). Misprediction of long-time deflections of prestressed box girders: Causes, remedies and tendon layout. Proc., CONCREEP-8 (8th Int. Conf. on Creep, Shrinkage and Durability of Concrete, Ise-Shima, Japan), T. Tanabe, ed., CRC Press/Balkema, London, 1291-1295.
40. Magura, D. D., Sozen, M. A., and Siess, C. P. (1964). A study of stress relaxation in prestressing reinforcement. PCI J., 9 (2), 13-57.
41. Malcolm, D. J., and Redwood, R. G. (1970). Shear lag in stiffened box girders. J. Struct. Div., Proc. ASCE, 96 (ST7), 1403-1419.
42. Mamillan, M., and Lellan, M. (1970). Le fluage de béton. Annalle Inst. Tech. Bat. Trav. Publics (Supp.), 23 (270), 7-13.
43. Navrátil, J. (1998). Improvement of accuracy of prediction of creep and shrinkage of concrete. Stavební Obzor, 2, 44-50 (in Czech).
44. Nilson, A. H. (1987). Design of prestressed concrete, 2nd Ed., Wiley, New York.
45. Reissner, E. (1946). Analysis of shear lag in box beams by the principle of minimum potential energy. Q. Appl. Math., 4 (3), 268-278.
46. Richtlinien (1973). Für die Bemessung and Ausführung Massiver Brúcken. German Standards, Substitute for DIN 1075 Deutsches Institut für Normung e. V. (DIN), Berlin
47. RILEM Committee TC-69 (RILEM). (1988). State of the art in mathematical modeling of creep and shrinkage of concrete. Mathematical modeling of creep and shrinkage of concrete, Z. P. Baant, ed., Wiley, New York, 57-215.
48. Suter, G. T., and Mickleborough, N. C. (1975). Creep of concrete under cyclically loading dynamic loads. Cement Concr. Res., 5 (6), 565-576.
49. Tschoegl, N. W. (1989). The phenomenological theory of linear viscoelastic behavior: An introduction, Springer Verlag, Berlin.
50. T. Y. Lin International. (1996). Collapse of the Koror-Babelthuap Bridge. Internal Rep., San Francisco.
51. Whaley, C. P., and Neville, A. M. (1973). Non-elastic deformation of concrete under cyclic compression. Mag. Concr. Res., 25 (84), 145-154.