鋼筋混凝土版的貫穿剪力破壞機率

The Probability of Punching Shear Failure of Reinforced Concrete Slabs

呂文堯(Wen-Yao Lu)

《建築學報》 32期 (2000/04) Pp. 43-53

https://doi.org/10.6377/JA.200004.0043

摘要

本文旨在探討鋼筋混凝土版的貫穿剪力破壞機率。考慮混凝土強度，鋼筋強度、構件尺寸，理論貫穿剪力強度之模式誤差反載重等皆為隨機變數。本文採用Moe之經驗公式，作為貫穿剪力強度之理論模式，以蒙地卡羅法分析鋼筋混凝土版的貫穿剪力強度及其破壞機率。研究結果顯示，版的貫穿剪力設計根據BS規範是不保守的，其破壞機率明顯的高於根據ACI規範的貫穿剪力設計。根據ACI規範的貫穿剪力設計，隨著pfy的增加，貫穿剪力破壞機率值降低，隨著f'c的增加，貫穿剪力破壞機率值增加。ACI規範對於pfy較低的版其貫穿剪力破壞機率值高於0.00135。

關鍵字

破壞機率 ； 貫穿剪力強度 ； 蒙地卡羅法

並列摘要

The objective of this paper is to investigate the probability of punching shear failure of reinforced concrete slabs .The punching shear strength and the probability of failure of reinforced concrete slabs are determined by Monte Carlo simulation technique in this paper. Considering the strength of concrete and steel, the cross section dimension of the member, the theoretical model error of punching shear strength and the loading are all random variables. The theoretical model of punching shear is based on the empirical formula developed by Moe. The results show that the probability of the punching shear failure of slabs designed based on BS code is higher than that designed based on ACI Code. Punching shear design according to the BS Code is not conservative. According to the provision of the ACI Code, the probability of the punching shear failure decreased with an increased pfy and increased with an increased f'c. According to the ACI Code, the slabs with low pfy have the probability of the punching shear failure higher than 0.00135.

並列關鍵字

probability of failure ； punching shear strength ； Monte Carlo technique ； coefficient of variation

參考文獻

ACI Committee 318(1995).Building Code Requirements for Structural Concrete (ACI 318-95) and Commentary (ACI 318R-95).

AISC(1986).Commentary on the Load and Resistance Factor Design Specification for Structural Steel Buildings.Chicago:American Institute of Steel Construction.

British Standards Institution(1985).The Structural Use of Reinforced Concrete in Building.

Ellingwood, B., Galambos, T. V., MacGregor, J. G., Cornell, C. A.(1980).Development of Probability Based Load Criterion for American National Standard A58.Washington, D. C.:National Bureau of Standards.

Ellingwood, B., MacGregor, J. G., Galamblos, T. V., Cornell, C. A.(1982).Probability Based Load Criteria: Load Factors and Load Combinations.Journal of the Structural Division, Proceedings of ASCE.108(ST5)