Optimal finite element size in reinforced high-strength concrete beams

Abstract

Açıklık ortasında tekil yüklü betonarme kirişlerde kesme ve eğilme mukavemetleri; doğrusal olmayan (Drucker-Prager akma kriteri) çözüm yöntemleri temel alınarak deneylerle uyumlu tahmin edilebilmektedir. Bu çalışmada; kesme mukavemetini hesaplamak için kiriş ortasından tekil yükle yüklenmiş donatılı, yüksek mukavemetli beton kirişlerde, deney sonuçları ile tutarlı yük-yerdeğiştirme eğrisini veren uygun sonlu eleman boyutları araştırılmıştır. Karşılaştırmaya tabi tutulan deney serilerinde değişkenler; beton basınç mukavemeti, kesme açıklığının kiriş etkili derinliğine oranı (a/d) ve enine donatı oranıdır. Kirişler doğrusal olmayan çözümlemeye tabi tutulmuş ve sonlu eleman boyutlarının uygun değerleri araştırılmıştır.Anahtar Kelimeler: Kesme mukavemeti, boyut etkisi, yüksek mukavemetli beton, kesme donatısı oran, sonlu elemanlar.Ever since the finite element method was applied to nonlinear problems in the field of reinforced concrete, many researchers have tried to predict the shear and bending strengths of reinforced concrete beams by using various material models for concrete.  In this study; to determine shear strength of reinforced high-strength concrete beams with shear span to depth ratios between 1.5 and 2.5, under concentrated loads at midspan, finite element size effect on load carrying capacity has been investigated analytically. In order to obtain more accurate numerical solutions from the finite element simulation of the reinforced high-strength concrete beams, the beams are evaluated for the different mesh size. Providing a larger size than optimum mesh size configuration for the nonlinear analysis, the whole load-deflection behavior of the beams have been analyzed and the main results of the numerical analyses were compared with the results of reinforced high-strength concrete beams experimental results reported in literature (Shin et al. 1999) to demonstrate how accurately the present mesh size predicts the load carrying capacity. The test variables were compressive strength of concrete, the shear span to depth ratio (a/d) and vertical shear reinforcement ratio for the comparison.  The elasto-plastic analyses of the beams, employing the Drucker-Prager yield criterion for concrete, have been performed and reasonable mesh size has been investigated. Keywords: Shear strength, size effect, high-strength concrete, shear reinforcement ratio, finite element

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