Behavior of Two-Span Continous Reinforced Concrete Beams
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Behavior Of Two-Span Continous Reinforced Concrete Beams A thesis presented to the faculty of the Russ College of Engineering and Technology of Ohio University In partial fulfillment of the requirements for the degree Master of Science Colin Michael McCarty August 2008 2 This thesis titled Behavior of Two-Span Continuous Reinforced Concrete Beams by COLIN MICHAEL MCCARTY has been approved for the Department of Civil Engineering and the Russ College of Engineering and Technology by Eric P. Steinberg Associate Professor of Civil Engineering Dennis Irwin Dean, Russ College of Engineering and Technology 3 ABSTRACT MCCARTY, COLIN MICHAEL, M.S., August 2008, Civil Engineering Behavior of Two-Span Continuous Reinforced Concrete Beams (127 pp.) Director of Thesis: Eric P. Steinberg Nine two-span continuous reinforced concrete beams with point loads 4.5’ on each side of the center reaction were tested. This tested the effects of both longitudinal and transverse reinforcement on the shear strength of the beams. Results of testing the beams showed the effects of maximum shear and moment occurring at the center reaction. Three sets of three beams were constructed to examine the affect varying the amount of longitudinal and transverse reinforcement had on the flexural and shear strength of a beam. Within a set of beams, the longitudinal reinforcement consisted of either No. 3, 8, or 10 reinforcing bars. Transverse reinforcement was consistent for each set of beams. The first set of beams did not have any shear reinforcement and were used to study the effects of longitudinal reinforcement on the shear strength of a beam. The second set of beams considered the effects maximum transverse reinforcement spacing has on the shear strength of a continuous beam. The third set of beams was used to examine whether further increases in transverse reinforcement were sufficient to preserve the shear strength when the flexural steel yields. 4 Specimens with No. 3 longitudinal bars explored the flexural characteristics of continuous beams with minimum longitudinal reinforcement ratios. Specimens with larger longitudinal reinforcement were used to evaluate the effects of more longitudinal reinforcement had on the shear strength and moment distribution. A test was performed to determine deformed welded wire fabrics ability to be used as transverse reinforcement. Measured values from testing were compared to calculated values from ACI 318-05 Building Code Requirements for Structural Concrete, which provided conservative results in both shear and flexural capacity when shear reinforcement existed. Approved: _____________________________________________________________ Eric P. Steinberg Associate Professor of Civil Engineering 5 ACKNOWLEDGMENTS Special thanks to Ohio University faculty & staff: Dr. Steinberg, Dr. Sargand, Dr. Masada, Dr. Shen, Mike Krumlauf, and Issam Khoury. Further appreciation goes to the Ohio University graduate students without their help, this project could not have been completed. I would like to extend my gratitude to Dr. Brown and my Parents for there guidance. 6 TABLE OF CONTENTS Page Abstract ............................................................................................................................... 3 Acknowledgments............................................................................................................... 5 List of Tables ...................................................................................................................... 9 List of Figures ................................................................................................................... 10 Chapter 1: Introduction ..................................................................................................... 13 Objectives ............................................................................................................. 13 Outline of Thesis ................................................................................................... 13 Chapter 2: Literature Review ............................................................................................ 15 Effects of Continuity on Shear Strength ............................................................... 15 Effects of Transverse Reinforcement and Spacing on Shear Strength ................. 20 Effects of Longitudinal Reinforcement Ratio on Shear Strength ......................... 22 Effects of Shear Span to Depth Ratio ................................................................... 23 Effects of Minimum Amounts of Shear Reinforcement ....................................... 23 Effects of Welded Wire Fabric as Shear Reinforcement ...................................... 24 Chapter 3: Experimental Program .................................................................................... 26 Design of Specimens ............................................................................................. 26 Description of Set I Beams ....................................................................... 28 Description of Set II Beams ...................................................................... 29 Description of Set III Beams ..................................................................... 31 Instrumentation ..................................................................................................... 33 7 Testing Setup ........................................................................................................ 35 Chapter 4: Beam Test Results Set I, II, & III .................................................................... 43 Test Results I-0-3 .................................................................................................. 46 Test Results I-0-8 .................................................................................................. 51 Test Results I-0-10 ................................................................................................ 56 Test Results II-d/2-3 ............................................................................................. 59 Test Results II-d/2-8 ............................................................................................. 65 Test Results II-d/2-10 ........................................................................................... 73 Test Results III-M-3 .............................................................................................. 77 Test Results III-F-8 ............................................................................................... 82 Test Results III-F-10 ............................................................................................. 84 Summary of Results .............................................................................................. 87 Chapter 5: Discussions ...................................................................................................... 90 No. 3 Longitudinal Reinforcement Comparison ................................................... 90 No. 8 Longitudinal Reinforcement Comparison ................................................... 92 No. 10 Longitudinal Reinforcement Comparison ................................................. 96 Beams without Shear Reinforcement .................................................................... 97 Beams with Shear Reinforcement ......................................................................... 98 Continuity ............................................................................................................. 99 Chapter 6: Summary and Conclusions ............................................................................ 103 Conclusions ......................................................................................................... 103 Further Research ................................................................................................. 104 8 References ....................................................................................................................... 106 Appendix: A .................................................................................................................... 109 Appendix: B .................................................................................................................... 110 Appendix: C .................................................................................................................... 111 Appendix: C Continued .................................................................................................. 112 Appendix: C Continued .................................................................................................. 113 Appendix: D .................................................................................................................... 114 Appendix: D cont’d ......................................................................................................... 115 Appendix: E .................................................................................................................... 116 Appendix: E cont’d ......................................................................................................... 117 Appendix: F .................................................................................................................... 118 Appendix: F cont’d ......................................................................................................... 119 Appendix: G 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