有鑒於 Hakuto 所提出之接頭剪力衰減模式，僅是由實驗數據歸納而得，缺乏相關的理論背景。因此本研究主要是將梁柱接頭模擬成平版抗剪的形式，並以桁架軟化模式做為理論依據，進行有關梁柱接頭在載重歷時中，所產生的剪力強度衰減曲線之評估，以確切了解到接頭在損壞後的殘餘抗剪強度，作為現行結構耐震評估的重要依據。
由分析討論的結果得知，利用桁架軟化模式分析接頭的極限抗剪強度時，由於接頭鋼筋不屬於均勻分佈，因此鋼筋比必須作適當的折減，如此可預測出接頭的極限抗剪強度，而在剪力衰減的評估方面，主要是取決於混凝土的軟化模式。目前本研究結果，以 Belarbi 和 Hsu 在1995年所提出的軟化係數，並配合 Thorenfeldt 曲線形式，較能描述接頭軟化行為，但仍有待更多的實驗進行驗證。

This thesis comes from an idea of Hakuto’s shear degradation curve provided in 1990’s, proposing a rationally theoretical model verified basing on experimental data. The purpose of this study is to simulate the beam-column joint using a panel truss model via present concrete softened theories to find out the degradation curve of joint. Meanwhile, the analytical results of shear. Degradation on curves of beam-column joints can offer a tool for the seismic assessment of building structures.
Results show, in order to predict the ultimate joint stress, the ratio of joint reinforcement have to properly reduce, restricting to the assumption of distributed joint reinforcement of the panel analysis. To obtain joint shear degradation curve, previous softened concrete models are adopted. According to data fitting, 1995’s Belarbi and Hsu softened model with Thorefeldt can simulate the behavior of beam-column joint well. However, it needs more experimental verification.

1. lACI Committee 318, “ Building Code Requirements for Structure Concrete (ACI 318-02) and Commentary (ACI 318R-02),” American Concrete Institute, Farmington Hills, Michigan (2002).
2. ACI-ASCE Committee 352, “Recommendations for Design of Beam-Column Joints in Monolithic Reinforced Concrete Structures,” ACI Journal, Proceeding, Vol. 82, No. 3, May-June, pp.266-283 (1985).
3. lHakuto, S., Park, R., and Tanaka, H., “Retrofitting of Reinforced Concrete Moment Resisting Frame,” Research Report 95-4, Department of Civil Engineering, University of Canterbury, Christchurch, 390pp. (1995).
4. Hsu, T. T. C., “Toward a Unified Nomentclature for Reinforced- Concrete Thory,” Journal of Structural Engineering, ASCE, Vol. 122, NO. 3, Mar, pp.275-283 (1996).
5. 李宏仁,「鋼筋混凝土耐震梁柱接頭剪力強度之研究」,博士論文（黃世建教授指導）國立台灣科技大學營建工程研究所,台北,民國89年5月 (2000)。
6. lHwang, S. J., and Lee, H. J., “Strength Prediction for Discontinuity Regions by Softened Strut-and-Tie Model,” Journal of Structural Engineering, ASCE, in press (2002).
7. Vecchio, F. J., and Collins, M. P., “Modeified Compression Field Theory For Reinforced Concrete Elelments Subjected to Shear,” ACI Journal, Proceedings Vol. 83, No. 2, March-April 1986, pp.219-231.
8. lZhang, L. X., and Hsu, T. T. C., “Behavior and Analysis of 100Mpa Concrete Membrane Elements,” Journal of Structural Engineering, ASCE, Vol. 124, NO. 1 , January pp.24-34 (1998).
9. lLeon, R. T., “Shear Strength and Hysteretic Behavior of interior Beam-Column Joints,” ACI Structural Jorunal, V. 89, No. 1, January- February 1990.
10. Lin, C. M., “Seismic Behavior And Design of Reinforced Concrete Interior Beam Column Joints,” Research Report 2000-1 Department of Civil Engineering University of Canterbury, Christchurch, New Zealand, January (2000).
11.lYoussef, M., and Ghobarah, A., “Strength Deterioration Due to Bond Slip and Concrete Crushing in Modeling of Reinforced Concrete Members,” ACI Structrual Jorunal, V. 96, No. 6, November- December 1999.
12. Mo, Y. L., and Rothert, H., “Effect of Softening Models on Behavior of Reinforced Concrete Framed Shearwalls,” ACI Structural Journal, V. 94, No. 6, November-December 1997.
13. Tjhin, T. N., and Kuchma, D. A., “Computer-Based Tools for Design lby Strut-and-Tie Method: Advances and Challenges,” ACI Structural lJournal, V. 99, No. 5, September-October 2002.
14. Hsu, T. T. C., and Zhang, L. X., “Nonlinear Analysis of Membrane lElements by Fixed-Angle Softened-Truss Model,” ACI Structural lJournal, V. 94, No. 5, September-October 1997.
15. Seckin, M., and Fu, H. C., “Beam-Column Connections in Precast lReinforced Concrete Construction,” ACI Structural Journal,lV. 87, No. 3,lMay-June 1990.
16.lVecchio, F. J., and Collins, M. P., “Predicting the Response of lReinforced Concrete Beams Subjected to Shear Using Modified lCompression Field Theory,” ACI Structural Journal, May-June 1988.
17. Zaid, S., Shiohara, H., and Otani, S., “Test of a Joint Reinforcing lDetail Improving Joint Capacity of R/C Interior Beam-Column lJoint,” The 1st Japan-Korea Joint Seminar on Earthquake lEngineering for Building Structure, Oct. 30 - 31, 1999, Faculty Club lHouse, Seoul National University, Seoul, Korea.
18. 高啟洲，「非韌性混凝土梁柱內接頭補強之研究」，碩士論文（王勇智教授指導），國立中央大學土木工程學研究所，桃園，民國 91年7月(2002)。
19. lLiu, A., and Park, R., “Seismic Load Tests On Two Concrete Interior lBeam-Column Joints Reinforced By Plain Round Bars Designed to lPRE-1970s Codes,” Bulletin of The NEW ZEALAND National lSociety for Earthquake Engineering, Vol. 31, No. 3, September 1998.
20. Teng, S., and Zhou, H., “Eccentric Reingorecd Concrete Beam- lColumn Joints Subjected to Cyclic Loading,” ACI Structrual lJournal, V. 100, No. 2, March-April 2003.
21. lKitayama, K., Otani, S., and Aoyama, H., “Development of Design lCriteriac For RC Interior Beam-Column Joints,” American Concrete lInstitute, Michigan, 1991, pp.97 - 123.
22. Response-2000, Reinforced Concrete Sectional Analysis Using the lModified Compress Field Theory, By Bentz, E. C., and Collins, lM.P..
23.l Stevens, N. J., Uzumeri, S. M., and Collins, M. P., “Reinforced Concrete Subject to Reverse Cyclic Shear－Experiments and Constitutive Laws,” ACI Structural Journal, Vol. 88, No. 2, March- April, pp.135-146 (1991).
24. lWalraven, J., Frénary, J., and Pruijssers, A., “Influence of Concrete llStrength and Load History on the Shear Friction Capacity of llConcrete Memders,” PCI Journal, January-February, pp.66-84 ll(1987).
25. 楊政達，「非韌性鋼筋混凝土梁柱外接頭補強之研究」，碩士論文，王勇智教授指導，國立中央大學土木工程學研究所，桃園，民國91年七月（2002）。
26. lBelarbi, A., and Hsu, T. T. C., ”Constitutive Laws of Softened llConcrete in Biaxial Tension-Compression,” ACI Structural Journal, llVol. 92, No. 5, September-October 1995, pp.562-573.
27. lPang, X. B., and Hsu, T. T. C., ”Behavior of Reinforced Concrete Membrane Elements in Shear,” ACI Structrual Journal, Vol. 92, No. 6, November-December 1995, pp.665-679.
28. 何偉智，「鋼筋混凝土擴柱補強工法對非韌性梁柱接頭耐震能力提升之探討」，碩士論文，王勇智教授指導，國立中央大學土木工程學研究所，桃園，民國92年六月（2002）。
29. 郭瑞宗，碩士論文，王勇智教授指導，國立中是大學土木工程學研究所，桃園，預計民國93年十二月(2004)。
30. llMembrane-2000, Reinforced Concrete Sectional Analysis Using the Modified Compression Field Theory, By Bentz, E.C., and Collins, M.P. .
31. Peter, J., ”Zur Bewehrung von Scheiben und Schalen f r Hauptspannungen schiefwinklig zur Bewehrungsrichtung,” Dissertation, Lehrstuhl f r Massivbau, Technische Hochschule Stuttgart, Germany, 1964.
32.OVecchio, F. J., and Collins, M. P., ”Response of Reinforced Concrete to In Plane Shear and Normal Stresses,” Report No. 82-03, University of Toronto, Canada, 1982.
33. kMiyahara, T., Kawakami, T., and Maekawa, K., ”Nonlinear Behavior of Cracked Reinforced Concrete Plate Element under Uniaxial Compression,” Concrete Library International,Japan Society of Civ. Engrs., JSCE, Vol. 11, 1988, pp.306-319.
34. llKollegger,J., and Mehlhorn, G., “Experimentelle Untersuchungenzur Bestimmung der Druckfestigkeit des gerissenen Stahlbetons bei einer Querzugbean-spruchung,” Report 413, Deutscher Ausschuss fl r Stahibeton, Berlin, Germany, 1990.
35. llMikame, A., Uchida, K., and Noguchi, H., “A Study of Compressive Deterioration of Cracked Concrete,” Proc. Int. Workshop on Finite Element Analysis of Reinforced Concrete, Columbia Univ., New York, 1991.
36. lUeda, M., Noguchi, H., Shirai, N., and Morita, S., ”Introduction to Activity of New RC,” Proc. Int. Workshop on Finite Element Analysis of Reinforced Concrete, Columbia University, New York, 1991.