矩形鋼管混凝土構材之軸壓與雙向彎矩互制圖研究

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姓名

李政緯(LEE, CHENG-WEI) 查詢紙本館藏

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土木工程學系

論文名稱

矩形鋼管混凝土構材之軸壓與雙向彎矩互制圖研究

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摘要(中)

本研究採用AISC-LRFD-2010與非線性之纖維元素法(fiber element method)建立矩形鋼管混凝土柱(Concrete-Filled steel Tubular, CFT)的軸力-雙向彎矩互制曲面。研究中採用的纖維元素法是將構材斷面離散化為數個纖維元素，在固定軸壓力與中性軸轉角下假設偏心軸壓力作用，根據鋼骨與混凝土之應力與應變關係，求得斷面各纖維元素的應力狀態，並逐步調整中性軸位置，直至斷面內力滿足力平衡條件和指定之中性軸轉角為止，即可求得固定軸壓下之兩向彎矩強度，改變軸壓力與中性軸轉角重複計算上述步驟，直至三維軸力-雙向彎矩互制曲面完整。
利用多組矩形CFT軸力-彎矩的試驗數據，驗證纖維元素法用於矩形CFT構材之軸力-雙向彎矩互制曲面的合理性，並討論柱長、寬厚比與材料強度等參數對於CFT柱彎矩強度之影響，定義纖維元素法可使用的範圍。纖維元素法的主要缺點在於無法考慮P-二次彎矩、構材長細比和局部挫屈的影響，目前纖維元素法的軸力-雙向彎矩互制曲面適用於低軸壓之矩型結實短柱。

摘要(英)

This study presents nonlinear fiber element analysis method determine the axial load-biaxial bending moment interaction curve of concrete filled steel tubular section (CFT). Fiber element method transform a column section into several fiber elements. Assuming an eccentric shaft of the pressure, according to the stress and strain relationship of steel and concrete, finding stress for each fiber, as well as adjusting the depth and orientation of the neutral axis in a composite section to satisfy equilibrium conditions. Then, it can calculate the axial load and biaxial bending moment.
In this study, discussing bending moment strength compares fiber element method with experience data. Column length, materials strength and thickness ratio are important parameters to reduce the strength of the numerical analysis. The main disadvantages of fiber element method is unable to consider P- effect、slenderness ratio and local buckling. Compact section or non-compact section is an important index having priority to check before analysis. So, fiber element analysis method is applied to analyze short columns and compact-section.
Using axial load and moment experience data of CFT discusses accuracy of AISC-LRFD-2010.

關鍵字(中)

★ 鋼管混凝土
★ 軸力-雙向彎矩互制曲面
★ 纖維元素法

關鍵字(英)

★ Concrete filled steel tubular
★ Axial load - biaxial bending moment interaction curve
★ Fiber element method

論文目次

摘要 I
Abstract II
目錄 IV
表目錄 VII
第一章緒論 1
1.1 研究背景與動機 1
1.2 文獻回顧 2
1.3 研究內容 8
第二章 AISC-LRFD-2010 CFT梁柱構材的檢核程序 10
2.1 引言 10
2.2 AISC-LRFD-2010 CFT受軸壓與彎矩共同作用的檢核方法一 10
2.3 AISC-LRFD-2010 CFT受軸壓與彎矩共同作用的檢核方法二 15
第三章纖維元素法繪製軸壓雙向彎矩互制曲面圖 21
3.1 引言 21
3.2 基本假設 22
3.3 建立纖維元素之應變應力 22
3.4 纖維元素法之計算程序 23
3.5 纖維元素法之軸力-雙向彎矩互制圖形的建立 27
第四章纖維元素法之軸壓彎矩互制面研究 32
4.1 引言 32
4.2 AISC-LRFD-2010標稱軸壓強度與試驗軸壓強度的比較 32
4.3 纖維元素法與純彎矩試驗結果的比較 34
4.4 纖維元素法與軸壓-單向彎矩試驗的比較 36
4.4.1 軸壓力對彎矩強度的影響 37
4.4.2 固定軸壓下有效柱長對彎矩強度的影響 39
4.5 纖維元素在軸力與雙向彎矩互制圖的適用性 41
4.6 參數研究 44
4.6.1 纖維元素個數的訂定 44
4.6.2 不同鋼骨厚度之軸壓與彎矩互制圖 44
4.7 小結 47
附錄A 標稱軸壓強度Pn與試驗數據之比較結果 49
附錄B 纖維元素與軸壓-單向彎矩試驗之比較 50
第五章結論與建議 78
5.1 結論 78
5.2 建議 79
參考文獻 81

參考文獻

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指導教授

莊德興(Juang, Der-Shin)

審核日期

2015-1-30

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