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本文运用复合形数学优化方法,以现行的钢筋混凝土,全预应力与部分预应力混凝土梁板设计理论为依据,以梁的造价最低为优化目标,编制了适用于钢筋混凝土,全预应力与部分预应力混凝土简支梁板的通用优化设计程序。并对公路桥梁工程中常用的28根空心简支板和 T 型梁进行了优化计算。计算结果表明,部分预应力混凝土结构具有较好的结构性能,而且是一种较经济的结构体系。就造价而言,对于简支空心板,采用部分预应力比其它两种结构形式可节省4%;对于无马蹄的 T 型梁,可节省4.5%;对于有马蹄的 T 型梁,部分预应力要比全预应力节省10.5%。
Based on the current design theory of reinforced concrete, full prestressed and partially prestressed concrete slab, and the lowest cost of the beam as the optimization objective, this paper developed a method suitable for reinforced concrete, full prestress and part General Optimization Design Procedure for Prestressed Concrete Simply Supported Slab. In addition, 28 hollow simple support plates and T-beams commonly used in highway bridge engineering are optimized and calculated. The calculation results show that some prestressed concrete structures have better structural properties and are a more economical structural system. In terms of cost, partial prestressing can be saved by 4% for simple hollow slabs and by 4.5% for T-beams without horseshoes; for prestressed T-beams with horseshoes, partial prestressing Saving 10.5% over full prestress.