鋼筋混凝土含牆結構物非線性靜力分析之研究

A NONLINEAR STATIC ANALYSIS STUDY OF AN RC STRUCTURE WITH WALLS

陳信宏(Hsin-Hung Chen)

指導教授 ： 蔡益超

國立臺灣大學/工學院/土木工程學研究所/博士(2016年)

https://doi.org/10.6342/NTU201610310

摘要

瞭解鋼筋混凝土(RC)牆其側向載重-側向位移反應，乃是RC含牆結構物進行非線性靜力分析與耐震能力評估之重要但困難的工作。然而，對於RC牆其非線性行為的模擬，至今仍未有較精確統一的方法。
為深入瞭解RC牆於軸力-剪力-彎矩互制下之非線性行為，本文將研究如何適當地計算軸力-彎矩作用下RC牆之彎矩-彎曲位移反應；以及利用兩迴歸因子Cs(以21組實驗資料迴歸)與Cd(以23組實驗資料迴歸)分別調整修正壓力場理論(MCFT)計算之剪力強度與剪位移，建立起考量RC牆高寬比(Hin/Lw)影響之軸力-剪力作用下RC牆剪力-剪位移反應，經上述兩反應的結合，可以合理地決定RC牆於軸力-剪力-彎矩互制下之側向載重-側向位移反應。
此外，為確認此分析方法的可靠性，本文也另以44組RC牆實驗資料進行盲目測試。經由分析結果與實驗結果之側向極限載重與該載重對應之位移(側向極限位移)間的相互比對，比對結果顯示，本文方法對於預測RC牆側向極限載重具有相當不錯的準確度，而對於預測RC牆側向極限位移則稍微偏向低估。因此，使用Cs及Cd兩迴歸因子分別調整由MCFT計算之剪力與剪位移，來反映RC牆高寬比(Hin/Lw)的影響，是可接受的。
本文也於SAP2000或ETABS程式下，建立6層RC純構架、6層RC含牆構架及6層開氣窗RC含牆構架，說明如何以等值柱模擬RC牆，並設置相關之塑鉸以進行非線性靜力分析，提供給工程師於應用上作為參考。經由三構架之非線性靜力分析結果，本文也探討RC牆對於構架行為之影響與貢獻。

關鍵字

鋼筋混凝土牆 ； 側向載重-側向位移反應 ； 非線性靜力分析 ； 耐震能力評估 ； 高寬比 ； 等值柱

並列摘要

Knowing the lateral load-lateral displacement of an RC (reinforced concrete) wall is an important but difficult work for nonlinear static analysis and seismic capacity evaluation. However, up to now the simulation about nonlinear behavior of an RC wall has not obtained yet an accurate and unified way.
In this research, the moment–bending displacement response of an RC wall under an axial load and moment is obtained from moment–curvature analysis using the wall’s proper plastic hinge length. Furthermore, the shear-shear displacement response of the RC wall under axial load and shear with considering the effect of the height-depth ratio of the RC wall (Hin/Lw) was established by means of two regressed factor Cs(regressed by 21 tests' data) and Cd(regressed by 23 tests' data) to modify the shear force and the shear displacement respectively calculated by the modified compression-field theory (MCFT). By integrating the moment–bending displacement and the shear–shear displacement responses, the lateral load–lateral displacement response of the RC wall under axial load–moment–shear interaction can be reasonably determined.
To confirm the reliability of the proposed method, the analysis results of a further 44 tests along with a blind test, and are then compared with the experimental results. From the statistical results of the 67 tests, it was shown that the proposed method provides a good prediction of the lateral ultimate load but somewhat underestimates the lateral ultimate displacement. Thus, using Cs and Cd to adjust the shear and shear displacement obtained from the modified compression-field theory, respectively, to reflect the influence of Hin/Lw is acceptable.
In addition, to provide an application illustration for engineers, this article establishes a 6 floor RC structure (pure RC frame), a 6 floor RC structure with walls and a 6 floor RC structure with walls containing windows to explain how to use an equivalent column model and set plastic hinges to simulate an RC wall in SAP2000 or ETABS nonlinear static analysis. Through the nonlinear static analysis result of the above three RC structures, the influence and contribution of RC walls on the RC structures are discussed in this article.

並列關鍵字

reinforced concrete wall ； lateral load-lateral displacement ； nonlinear static analysis ； seismic capacity evaluation ； height-depth ratio ； equivalent column

參考文獻

蕭輔沛，「鋼筋混凝土剪力牆－構架互制行為之實驗研究與數值模擬」，博士論文，成功大學建築研究所，台南 (2004)。

ACI Committee 318, Buildings Code Requirements for Reinforced Concrete, American Concrete Institute, Detroit, USA (1963).

ACI Committee 318, Buildings Code Requirements for Reinforced Concrete and Commentary (ACI 318-89), American Concrete Institute, Detroit, USA (1989).

American Concrete Institute (ACI). Buildings Code Requirements for Structural Concrete and Commentary (ACI 318M-14). Farmington Hills, MI, USA: American Concrete Institute (2014).

ASCE 41-13, Seismic Rehabilitation of Existing Buildings, American Society of Civil Engineers, Reston, Virginia (2013).