PREDICTING FIRST CRACK LOAD ON HOLLOW CORED RECTANGULAR RC BEAMS USING FINITE ELEMENT METHOD: A VALIDATION

Uche K. Ogbonna, Henry N. Okonkwo

Abstract


To predict the first crack load of a hollow cored reinforced concrete (RC) beam element, a finite element equation validated by an experiment is developed. Experimentally, flexural testing with point loads at mid-span was performed on fifteen (15) beams made up of three (3) beam types at 1 kN intervals for a span of 750mm using the Universal Testing machine. The beams were simply supported by roller points. The dimensions of the beams were kept constant and later varied while investigating the following hollow diameters: 0, 30, 60, 75, and 105mm. Numerically, the beams were designed as a beam element point loaded at mid-span with a span of 700mm centers, and the support conditions were defined as pinned support. The numerical and experimental results were in good agreement and is well presented. The finite element equation was further validated by comparing the first crack load values obtained from literature. It was observed that the first crack load equation's results agreed well with that of the previous study carried out on hollow RC beam sections. On average, the value of the ratio of the analytical and finite element first crack load was 0.965, with a coefficient of variation of 2.58% and a standard deviation of 0.025. The finite element equation accurately predicts the RC hollow cored rectangular beams' first crack load..

Keyword: Finite element method, First crack load, Hollow-cored Beam, Modulus of rupture, Moment of inertia


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References


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