臺灣博碩士論文加值系統

隨著工商業之發達，人口急遽增加，都會區之擴展，公路建設亦隨運輸網路之需求而擴散。一般而言，直線形橋梁之工程費用比曲線形橋梁低；但由於公路幾何線形之限制，立體交叉與交流道系統之形成，在許多地方曲線形橋梁便成唯一之選擇，因此，選定合適之曲線橋型式便成為橋梁設計師第一個所要面對的問題。
本研究之主旨在於利用曲線格梁系統之結構勁度理論來分析曲線薄壁箱型鋼橋之結構行為，探討內橫隔梁之型式、勁度及間距對箱型鋼橋內力橫向分配之影響，同時與傳統之等值彈性基礎梁分析法相比較。研究證明，本研究之方法對箱型鋼橋之內橫隔梁設計見有實質之助益

Along with the economic growing and the expansion of the metropolitian area, The highway system is becoming more widely demanded. The construction fee for the straight bridge is always cheaper than the curved bridge, however, in some cases, the bridge system shall be designed as curved due the geometric constraints.
The main purpose for this research is to analyze the lateral load distribution behavior. For the thin-walled box steel girder bridges using the structural matrix theory modeled as a curved grid system. By investigating different type of internal bracing system, we Will be able to realize the lateral load distribution pattern within the steel box girder bridge. The results obtained from this research are also compared with those obtained from the theorem of equivalent beam on the elastic foundation which is often used in the distortional analysis for the steel box girder bridge system. The results finally obtained within this research indicate the developed theory outlined in this research can be pretty helpful for the design engineers.

致謝 i
中文摘要 ii
英文摘要 iii
圖目錄 vi
表目錄 viii
第一章 緒論 1
1.1 研究動機 1
1.2 研究目的與流程 2
1.3 研究內容 2
第二章 文獻回顧 4
2.1 前言 4
2.2 可供分析之方法 4
2.2.1 直線梁近似法(Straight Beam Approximation) 4
2.2.2 曲線梁理論(Curved Beam Theory) 5
2.2.3 薄壁彈性梁理論(Thin-Walled Elastic Beam Theory) 5
2.2.4 正交異向性版理論(Orthotropic Plate Theory) 5
2.2.5 正交相異性版與梁綜合法(Orthotropic Plate and Beam Assembly) 6
2.2.6 有限條狀法(Finite Strip Method) 6
2.2.7 摺版理論(Folded Plate Theory) 7
2.2.8 彎矩／曲率半徑法(M／R Method) 7
2.2.9 空間剛架法(Space Frame Method) 8
2.2.10 有限差分法(Finite Difference Method) 8
2.2.11 格梁相似法(Grid Analogy) 9
2.2.12 有限元素法(Finite Element Method) 12
2.3 較受歡迎之分析方法 13
第三章 曲線格梁系統之內力分析 15
3.1 前言 15
3.2 曲線格梁之勁度矩陣 16
3.3 曲線格梁勁度矩陣之座標轉換 21
3.4 節點平衡方程組和結構勁度矩陣 25
3.5 支承條件的引入和結構內力的計算 30
3.6曲線梁單元的等效節點荷載 33
第四章 橫隔梁勁度與間距的探討 41
4.1 前言 41
4.2 橫隔梁系統 41
4.2.1 內橫隔梁之型式 41
4.2.2 外橫隔梁之型式 47
4.3 曲線薄壁箱型之畸變翹曲微分方程式 50
4.4 畸變翹曲正應力 與彎矩正應力 比值之近似公式 51
4.5 橫隔梁勁度對畸變翹曲正應力之影響 52
第五章 實例分析 57
5.1 前言 57
5.2 模式正確性驗證 57
5.2.1 分析範例一 57
5.2.2 分析範例二 58
5.3 設計準則之研究 58
5.3.1 曲率半徑與箱型鋼梁斷面畸變之相互關係 58
5.3.2 內橫隔梁數目對箱型鋼梁畸變之影響 59
5.3.3 內橫隔梁勁度對箱型鋼梁畸變之影響 59
5.3.4 端隔梁邊界條件之影響 59
第六章 結論與建議 76
6.1 結論 76
6.2 建議 76
參考文獻 77

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