臺灣博碩士論文加值系統

一般鋼筋混凝土結構之設計，均是針對某一設計斷面尺寸考慮其最大受力
狀況時，分析其所需鋼筋量，一但此斷面無法提供足夠的空間來容納設計
所需之鋼筋量時，或斷面之尺寸過於浪費時，即需重新分析與設計。本論
文擬欲發展一套鋼筋混凝土梁最佳化設計程式，此套最佳化設計程式所考
慮之設計變數為鋼筋混凝土梁斷面尺寸之寬、深、以及縱向鋼筋量，目標
函數則包含了鋼筋混凝土梁之成本函數和勁度函數，期望能提供設計者獲
得最低之鋼筋混凝土梁成本分析，同時亦滿足受力組合之最大勁度要求，
以多準則最佳化設計方法，尋求最佳化之梁斷面尺寸之寬、深、以及縱向
鋼筋量。另外，對於鋼筋混凝土梁之成本與勁度間之關係，亦可藉由其相
對應之權重係數來調整，最佳化設計之限制條件乃是依據ACI 318-89鋼筋
混凝土梁強度設計法之規範而考量。簡而言之，本論文不僅可得最符合經
濟效益之鋼筋混凝土梁斷面，並提供另一種鋼筋混凝土梁自動化設計之途
徑。

In general, the require reinforcment analysis of reinforced
concrete structure is based on the initial designed cross-
section subjected to the maximum loading. If the spacing
between the bars and the analysis section is not enough to meet
the minimum requirement, the process of analysis and design
must be repeated again. A pilot computer program is developed
for the optimal preliminary design of reinforced concrete beams
in this paper. The width, depth, and longitudinal reinforcement
of the beam cross-section are taken as the design variables.
The objective function combines a cost function and a stiffness
function into a utility function which is to minimize the cost
and maximize the stiffness of the reinforced concrete beam and
in which the relative importance of each part is reflected by
weighting coefficients. Constraint conditions are based on the
specifications of the ACI-code(318-89). The purpose of this
paper is to provide a decision making problem for the civil
engineering as well as an optimization technique to solve this
problem.