圓形鋼筋混凝土柱的塑鉸長度｜國立臺灣科技大學博碩士論文系統

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研究生：	冉達夫 Raditya - Andy Kurniawan
論文名稱：	圓形鋼筋混凝土柱的塑鉸長度 Plastic Hinge Length of Circular Reinforced Concrete Columns
指導教授：	歐昱辰 Yu-Chen Ou
口試委員:	陳正誠 Cheng-Cheng Chen 黃世建 Shyh-Jiann Hwang
學位類別：	碩士 Master
系所名稱：	工程學院 - 營建工程系 Department of Civil and Construction Engineering
論文出版年：	2010
畢業學年度：	98
語文別：	英文
論文頁數：	84
中文關鍵詞：	塑鉸長度、圓形斷面、混凝土柱、有限元素法
外文關鍵詞：	Plastic Hinge Length, Circular Section, RC Column, FEM
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本人只有英文摘要

Based on experiment results, researchers have previously suggested various expressions to estimate the plastic hinge length of a reinforced concrete member. However, large differences exist among different expressions because of the differences in materials, shapes, and other parameters used in the experiment. In addition, existing expressions are not applicable to members with USD 685 reinforcing bars, a new type of rebar that has a yield strength of 100 ksi (685 MPa) and has gained increasing interest in recent years. This thesis presents a parametric study to investigate the plastic hinge length of circular reinforced concrete columns using a three-dimensional finite element analysis method. Parameters examined include the longitudinal reinforcement ratio, the shear span-to-depth ratio, the axial force ratio, and the concrete compressive strength. A wide range of values of the parameters are examined. Longitudinal reinforcement with specified yield strengths of 60 ksi (414 MPa) and 100 ksi (685 MPa) are considered. A special statistical method based on fractional factorial design referred to as Taguchi method is used to reduce experimental effort. Based on the results of the study, simplified expressions for the plastic hinge length of circular reinforced concrete columns are proposed.

TABLE OF CONTENTS

ABSTRACT	………………………………………………………………………….ii
ACKNOWLEDMENTS	……………………………………………………….…...iii
TABLE OF CONTENTS	…………………………………………………….…….iv
LIST OF TABLE	……………………………………………………………..…….vii
TABLE OF FIGURE	………………………………………………………….…..viii

CHAPTER 1 INTRODUCTION	…………………………………………………..1
1.	Background	……………………………………………………………......1
2.	Problem Statement	…………………………………………………………2
3.	Objectives and Scope	………………………………………………………3
4.	Outline	……………………………………………………………………..4

CHAPTER 2 PLASTIC HINGE LENGTH REVIEW	…………………………..5
1.	Previous Research 	…………………………………………………………6
1.1	Baker (1956)	………………………………………………………6
1.2	Mattock (1964)	…………………………………………………….8
1.3	Corley (1966)	………………………………………………………8
1.4	Mattock (1967)	…………………………………………………….9
1.5	Park, Priestley and Gill (1982)	…………………………………….9
1.6	Sakai and Sheikh (1989)	………………………………………….10
1.7	Sheikh (1993, 1994 and 1998)	……………………………………11
1.8	Mendis (2001)	…………………………………………………….11
1.9	Bae and Bayrak (2008)	……………………………………………11
2.	Basic Knowledge of Plastic Hinge Length	………………………………..12

CHAPTER 3 ANALYTICAL MODEL	………………………………………….15
1.	Concrete Model	…………………………………………………………..15
1.1	Compression	……………………………………………………...15
1.2	Tension	……...……………………………………………………17
2.	Reinforce Bar	……………………………………………………………...18
3.	Numerical Integration	……………………………………………………21
4.	Finite Element Method (FEM)	……………………………………………22

CHAPTER 4 FINITE ELEMENT VALIDATION	…………………………….25
1.	PEER Column Specimens	…………...……………………………………25
2.	Modeling Column in ABAQUS	………………………………………….26
3.	Average Curvature and Shear along the Member	………………………..27
4.	Comparison 	……………………………………………………………….29
4.1	Base Shear Vs Displacement	……………………………………….30
4.2	Average Curvature along the Member	……………………………..31
4.3	Average Shear along the Member	………………………………….32
5.	Slip Displacement	…………………………………………………………33
6.	Percentage Displacement	……………….…………………………………34
7.	Full Node FEM Method	…………..……………………………………….35
8.	Spalling Region at Ultimate Condition	………….……………………….38
9.	Conclusion	…………………………………………………………………38

CHAPTER 5 FINITE ELEMENT VALIDATION	……………….…………….39
1.	Taguchi Method	………………………………………………………….40
2.	Concrete Strength (fc’)	……………………………………………………43
3.	Transverse Reinforcement	………………………………………………..45
4.	Reinforcement Ratio	……………………………………………………..46
5.	Axial Load Ratio	…………………………………………………………49
6.	Shear span-to-depth Ratio 	……………………………………………….51
7.	Modeling General Column in ABAQUS	…………………………………52
8.	Taguchi Method	………………………..…………………………………53
9.	Ultimate Condition	………………..…………………………………...…54
10.	Elastic Curvature	………………………………………………………..…55
11.	Ultimate Curvature	………………………………………………………..57



CHAPTER 6 RESULT and DISCUSSION	……………………………………..59
1.	Obtaining Plastic Hinge Length	………………………………………….60
2.	Exception Models	………………………………………………………..61
3.	Plastic Hinge Length Result	……………………………………………...62
4.	Plastic Hinge Length versus Drift	………………………………………..64
5.	Proposed Formula for Plastic Hinge Length	……………………………..65
5.1	Longitudinal Reinforcement with a Yield Strength of 414 MPa	……65
5.2	Longitudinal Reinforcement with a Yield Strength of 685 MPa	……66
6.	Effect of Axial Load Ratio (P/P0)	………………………………..………..68
7.	Effect of Longitudinal Reinforcement Ratio (As/Ag)	…………………….69
8.	Effect of Shear span-to-depth ratio (L/h)	………………………………….71
9.	Effect of Concrete Strength of Plastic Hinge Length	……………………73

CHAPTER 7 CONCLUSION	……………………………………………………79

REFERENCES	………………….…………………………………………………81

                                

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