Steel-concrete composite beams prestressed by external tendons: effects of material and geometric nonlinearities

The analysis of externally post-tensioned beams is characterized by some specific issues related to the coupling between the local strain of the cable and the global deformation of the structure. Collapse modalities are influenced by the nonlinear behavior of materials and in many cases by non-negligible geometric nonlinear effects. The authors present a model for externally prestressed steel-concrete composite beams that includes geometric and material nonlinearities. The proposed model is based on the theory of small strains and moderate rotations obtained from the exact nonlinear theory. Comparisons with experimental tests are shown to validate the results obtained with the proposed formulation. Some numerical applications involving simply supported and two-span continuous composite beams post-tensioned with external cables are discussed to illustrate the nonlinear geometric effects and their influence on the ultimate capacity.

[1]  Pedro Albrecht,et al.  Analytical Study of Prestressed Composite Beams , 1989 .

[2]  J. C. Simo,et al.  A finite strain beam formulation. The three-dimensional dynamic problem. Part I , 1985 .

[3]  Amin Ghali,et al.  PRESTRESSING WITH UNBONDED INTERNAL OR EXTERNAL TENDONS: ANALYSIS AND COMPUTER MODEL , 2002 .

[4]  Bilal M. Ayyub,et al.  Prestressed composite girders under positive moment , 1990 .

[5]  Andrea Dall'Asta On the coupling between three-dimensional bodies and slipping cables , 1996 .

[6]  Andrea Dall'Asta,et al.  Finite Element Model for Externally Prestressed Composite Beams with Deformable Connection , 2005 .

[7]  Shiming Chen,et al.  Load carrying capacity of composite beams prestressed with external tendons under positive moment , 2005 .

[8]  R. Szilard Design of Prestressed Composite Steel Structures , 1959 .

[9]  Andrea Dall'Asta,et al.  Nonlinear Behavior of Externally Prestressed Composite Beams: Analytical Model , 1998 .

[10]  Andrea Dall'Asta,et al.  Slip locking in finite elements for composite beams with deformable shear connection , 2004 .

[11]  P. M. Naghdi,et al.  Small strain accompanied by moderate rotation , 1982 .

[12]  Michel Bruneau,et al.  Ductile design of steel structures , 1997 .

[13]  Hani Nassif,et al.  Externally Prestressed Members: Evaluation of Second-Order Effects , 1999 .

[14]  Antoine E. Naaman,et al.  Closure of "Analysis of Beams Prestressed with Unbonded Internal or External Tendons" , 1995 .

[15]  Željana Nikolić Non-linear analysis of prestressed structures , 1996 .

[16]  L. E. Malvern Introduction to the mechanics of a continuous medium , 1969 .

[17]  Peter G. Hoadley Behavior of Prestressed Composite Steel Beams , 1963 .

[18]  Angel C. Aparicio,et al.  Ultimate Analysis of Monolithic and Segmental Externally Prestressed Concrete Bridges , 1996 .

[19]  J. C. Simo,et al.  A three-dimensional finite-strain rod model. Part II: Computational aspects , 1986 .

[20]  Bilal M. Ayyub,et al.  PRESTRESSED COMPOSITE GIRDERS. II: ANALYTICAL STUDY FOR NEGATIVE MOMENT , 1992 .

[21]  P. Bsiant,et al.  SOFTENING IN REINFORCED CONCRETE BEAMS AND FRAMES , 2022 .

[22]  Guy D Mancarti STRENGTHENING CALIFORNIA'S STEEL BRIDGES BY PRESTRESSING , 1984 .

[23]  Salvatore Marzano,et al.  Small strain and moderate rotation , 1993 .