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題 名 | 鋼筋混凝土梁成本最小化設計曲面=Design Surfaces for Minimum Cost Design of Reinforced Concrete Beams |
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作 者 | 劉英偉; 吳欣翰; 謝春慧; | 書刊名 | 中國土木水利工程學刊 |
卷 期 | 19:2 2007.06[民96.06] |
頁 次 | 頁229-237 |
分類號 | 441.557 |
關鍵詞 | 鋼筋混凝土梁; 設計曲面; 最佳鋼筋比; Reinforced concrete beams; Design surface; Optimum reinforced rations; |
語 文 | 中文(Chinese) |
中文摘要 | 本文依據鋼筋混凝土矩形梁在極限強度狀態下,採用最佳化理論求得梁斷面最佳鋼筋比及斷面有效深度進而將梁體成本最小化。本文將目標函數及部份束制條件式應用拉格郎日乘子法求解,其解係配合ACI (318-02)設計規範下,提供一設計空間曲面,作為最小成本設計時選用最佳鋼筋比之依據。本文亦建議一斷面決策圖作為區隔採用單筋、臨界或雙筋梁設計之用。本文所建議的應用公式,不但有效且合理,無需一般的迭代過程,而設計者亦可無需具備相關最佳化學理知識;和一般工程設計之試誤法相較下,應用本文之成果可較容易同時滿足彎曲強度需求及最小設計成本的目的。 |
英文摘要 | The aim of this paper is to demonstrate how the ultimate limit state design condition cam be performed mathematically to arrive at optimum reinforced ratios and effective depths of the cross sections of reinforced concrete rectangular beams which are leaded to a minimum cost design. In according to the building code of ACI (318-02), cost objective function and strength constraint are performed by the Lagrange multiplier method. A boundary steel ratio surface is suggested to distinguish singly and doubly reinforced design. The design surface of section decision-making is presented for singly、boundary and doubly reinforced sections, respectively. The proposed design surfaces are effective and reliable without the need for iterative trials and prior knowledge of optimization. Comparisons with the try-error method have clearly shown that the goal of the minimum material costs and flexural strength reqirements will be reached by applying the result of this paper. |
本系統中英文摘要資訊取自各篇刊載內容。