許多研究顯示，經耐震設計之結構物能提升抗漸進式崩塌之能力。本研究為了解漸進式崩塌強度與水平耐震強度之關係，建立二維RC梁柱次構架模型與設計實尺寸RC結構模型，探討移除柱後的崩塌強度與耐震強度之關係。利用塑性分析理論解析推導，再以不同結構參數進行非線性靜力分析；同時設計實尺寸RC結構模型，針對跨徑、樓層數、震力係數與不同樓層柱移除等因素，以側推分析(Pushover)得到水平耐震強度；另以下推分析(Pushdown)與擬靜態分析推估垂直崩塌強度，比較兩者垂直/側力強度比值。結果顯示，強度比值主要受跨徑影響，樓層數、移除柱位與震力係數相對影響較小。當跨徑或是跨徑/樓高比值增加，強度比值則會降低，而該比值會隨樓層數增加而提升。震力係數增加能提升耐震力與抗垂直崩塌力強度，但會使強度比值略微降低。移除柱樓層越高，則垂直崩塌強度越小，因此強度比值下降。從本研究得知，跨徑增加時強度比值降低則漸進式崩塌風險較高；支撐柱破壞樓層越高時會增加漸進式崩塌風險；從解析與數值分析比較結果可知，以塑性分析方法能概估三維結構物之垂直崩塌強度。

Several studies have indicated that enhancing seismic resistance may benefit the progressive collapse resistance for building frames under column loss. This ongoing study intends to investigate the relationship between the column-loss and seismic shear resistances by using beam-column sub-assemblages. The resistance ratio is defined and used as a measure for quantifying the relationship. An analytical expression of the ratio is derived based on the strong column and weak beam mechanism and plastic analysis technique. Three dimensional RC building models with different structural parameters are designed. Nonlinear static analyses are performed to evaluate the influences of the design parameters on the resistance ratio. The analysis results indicate that the span length or span-to-height ratio is the most important factor for the resistance ratio. Lower resistance ratios are observed with increased span length, which implied a higher collapse potential. Although larger seismic design force can increase both the seismic shear and column-loss resistances, the resistance ratio slightly decreases with increased seismic coefficient. An opposite trend is observed for the effect of story numbers. An approximate resistance ratio can be obtained with the analytical expression.

摘要 I
Abstract II
謝誌 III
目錄 IV
表目錄 VI
圖目錄 VIII
符號索引 XII
第一章 緒論 1
1.1 研究背景與動機 1
1.2 研究方法 2
1.3 論文內容 2
第二章 次構架塑性分析 4
2.1 彈塑性分析 4
2.1.1梁之彈塑性分析 4
2.1.2梁受垂直載重 5
2.1.3超靜定梁 7
2.2次構架塑性分析 8
2.3 次構架參數設定 9
2.4 次構架數值模擬 10
2.4.1 SAP2000結構分析程式簡介 10
2.4.2 次構架模型建立及設定 10
2.4.3 次構架模型分析模式 11
2.4.4 次構架數值分析及結果 12
2.5 小結 13
第三章 實尺寸建築結構耐震設計 27
3.1 結構物模型 27
3.1.1 結構尺寸參數 27
3.1.2 台灣震力係數範圍 28
3.2 Midas結構分析程式 30
3.2.1 模型建置 30
3.2.2 梁柱設計 31
3.3設計調整 31
3.4結構物設計實例 32
3.5 設計結果 33
第四章 耐震結構物分析 69
4.1 建立結構物模型 69
4.2 耐震能力分析 70
4.2.1側推分析 70
4.2.2 分析結果 70
4.3 垂直崩塌力分析 72
4.3.1 下推分析 72
4.3.2 分析結果 72
4.4結構物模型數值分析與解析值比較 73
4.4.1 強度比值結果 73
4.4.2 解析解調整 74
4.4.3 漸進式崩塌預估方式 75
4.5 小結 76
第五章 結論與建議 108
5.1結論 108
5.2建議 109
參考文獻 110
附件一 Midas軟體提供之設計流程圖 113
作者簡介 126

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