OPTIMAL DESIGN FOR COMPOSITE GIRDER UNDER BIAXIAL BENDING | ||
| JES. Journal of Engineering Sciences | ||
| Article 4, Volume 39, No 5, September and October 2011, Pages 985-1003 PDF (466.34 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.21608/jesaun.2011.129378 | ||
| Author | ||
| Mohamed A. A. EL-Shaer | ||
| Associate Professor, Department of Civil Engineering, Higher Technological Institute, 10th of Ramadan City | ||
| Abstract | ||
| This paper presents an efficient computer-based method for optimal criteria design of composite girder under biaxial bending. The width, depth for concrete slab and steel section are taken as the design variables. The strength constraints for the design are formulated using the finite element method. The method solves composite girders taking into consideration the material non-linearity due to the change in stressstrain curves of steel and concrete, and geometric non-linearity due to the change of the path of the composite girder during deformation. The formulation depends on the principle of Virtual Work. An optimality criteria method is applied to minimize the cost of concrete slab, steel, and form subject to constraints on strength and stiffness. Four full composite girder examples are presented to illustrate the features of the design optimization method. It is shown that the design method provides an effective iterative optimization strategy that converges in relatively few cycles to a leastcost design of reinforced concrete element satisfying all relevant requirements of the governing design code. The iterative process is insensitive to the selected initial design and converges smoothly to a final design involving concrete slab dimensions and steel section consistent with usual design practice. A complete computer program has been developed to solve the problem of full composite-beams under biaxial bending. | ||
| Keywords | ||
| Composite girders; Concrete-slab; Finite element; Material and Geometric non Linearities; Incremental loading; Virtual work; Optimization | ||
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