Minimum cost design of RC beams using DCOC Part II: Beams with uniform cross-sections

The optimality criteria and numerical algorithms for DCOC are specialized in this part of the two-part paper to multispan structures each span of which is assumed to have a uniform section along its entire length. The steel ratio is allowed to vary freely along the length. Selfweight of the spans is also included in the equilibrium equation of the real system and in the optimality criteria.

[1]  V. Venkayya,et al.  Comparison of Optimality Criteria Algorithms for Minimum Weight Design of Structures , 1978 .

[2]  Takashi Chou,et al.  Optimum Reinforced Concrete T-Beam Sections , 1977 .

[3]  George I. N. Rozvany,et al.  Structural Design via Optimality Criteria: The Prager Approach to Structural Optimization , 1989 .

[4]  G. I. N. Rozvany,et al.  Minimum cost design of reinforced concrete beams using continuum-type optimality criteria , 1994 .

[5]  G. Thierauf,et al.  Optimization of large scale structures: Optimality criteria and domain decomposition , 1991 .

[6]  V. B. Venkayya,et al.  Structural optimization: A review and some recommendations , 1978 .

[7]  V. Venkayya Optimality criteria: A basis for multidisciplinary design optimization , 1989 .

[8]  G. I. N. Rozvany,et al.  Continuum-type optimality criteria methods for large finite element systems with a displacement constraint. Part II , 1989 .

[9]  B. L. Karihaloo,et al.  Minimum-Cost Design of Reinforced Concrete Members by Non-Linear Programming , 1993 .

[10]  H. Saunders,et al.  Matrix Structural Analysis , 1979 .

[11]  Bhushan Lal Karihaloo,et al.  COMPUTER-AIDED MINIMUM-WEIGHT DESIGN OF STATICALLY INDETERMINATE BEAMS , 1986 .

[12]  C. Fleury Structural weight optimization by dual methods of convex programming , 1979 .

[13]  George I. N. Rozvany,et al.  Structural Design via Optimality Criteria , 1989 .

[14]  George I. N. Rozvany,et al.  DCOC: An optimality criteria method for large systems Part I: theory , 1992 .

[15]  N. S. Khot,et al.  ALGORITHMS BASED ON OPTIMALITY CRITERIA TO DESIGN MINIMUM WEIGHT STRUCTURES , 1981 .

[16]  Bhushan Lal Karihaloo,et al.  Optimum structures under strength and stiffness constraints , 1988 .

[17]  George I. N. Rozvany,et al.  DCOC: An optimality criteria method for large systems Part II: Algorithm , 1993 .

[18]  Leonard Spunt,et al.  Optimum structural design , 1971 .

[19]  Edward A. Sadek,et al.  Optimization of structures having general cross-sectional relationships using an optimality criterion method , 1992 .

[20]  G. I. N. Rozvany,et al.  Continuum-Based Optimality Criteria (COC) Methods — An Introduction , 1992 .

[21]  Donald E. Grierson,et al.  Computer‐Automated Design of Reinforced Concrete Frameworks , 1993 .

[22]  Bhushan Lal Karihaloo,et al.  Minimum cost design of reinforced concrete structures , 1990 .