鋼筋混凝土之版剪力分析探討

A Study of the Analysis of Reinforced Concrete in slab shear

黃伯祺(Bo-Chi Huang)

中原大學/工學院/土木工程研究所/碩士(2011年)

https://doi.org/10.6840/cycu201101043

摘要

本研究主要是探討鋼筋混凝土版元素受剪力作用時之行為，而本文採用了多個鋼筋混凝土剪力理論，如變轉角軟化桁架模式(Rotating Angle Softened Truss Model, RA-STM)與比例載重下之變轉角軟化桁架模式(Rotating Angle Softened Truss Model with element under proportional loading)與定轉角軟化桁架模式(Fixed Angle Softened Truss Model, FA-STM)與軟化構件模式(Softened Membrane Model, SMM)以及修正壓力場理論(MCFT, Modified Compress Field Theory, MCFT)等五種。經由各鋼筋混凝土剪力理論計算方法之基本假設、力平衡方程式、變形諧和方程式以及鋼筋混凝土材料應力應變關係之探討可整理出各方法之相同處與相異處，而本文亦將詳述各方法以詳細的計算流程圖以及詳細的公式推導。此外，本文將上述各方法之計算流程自行撰寫鋼筋混凝土元素分析程式，並與休士頓大學釋出之數據做比對。由數據比較結果顯示自撰程式可初步模擬鋼筋混凝土元素之應力應變狀態。

關鍵字

變轉角軟化桁架模式 ； 比例載重下之變轉角軟化桁架模式 ； 定轉角軟化桁架模式 ； 軟化構件模式 ； 修正壓力場理論

並列摘要

This research mainly discusses the behavior of reinforced concrete element in shear with three theories: Fixed Angle Shear Theories, Rotating Angle Shear Theories from Unified Theory of Concrete Structures and Modified Compress Field Theory. Each of these theories in this article, the concept and calculation procedures expounded with explicit flowchart and the derivation of each functions in these theories. In this article also establish the calculate program for reinforced concrete elements, and compared with fixed angle softened truss model (FA-STM), softened membrane model (SMM), rotating angle softened truss model (RA-STM), rotating angle softened truss model with proportional loading (RA-STM proportional loading).

並列關鍵字

rotating angle softened truss model (RA-STM) ； Modified Compress Field Theory (MCFT) ； Fixed Angle Shear Theories ； fixed angle softened truss model (FA-STM) ； Unified Theory of Concrete Structures ； rotating angle softened truss model with proportional loading (RA-STM proportional loading) ； Rotating Angle Shear Theories ； softened membrane model (SMM)

參考文獻

1. 東北大學防災研究中心和建築科學系考察報告 2011.03.22

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11. Vecchio, F.J. and Collins, M.P.(1986)”The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” Journal of the American Concrete Institute, Proceedings, 83 (2) 219-231.

13. Abdeldjelil Belarbi, Hsu, T. T. C. (1994) “Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened by Concrete,” ACI Structural Journal, V. 91, No. 4