Finite Element Analysis of Doubly Reinforced Concrete Beams Under Flexural Loading
摘要
The moment of inertia, cross-sectional area, and modulus of elasticity are crucial concepts in structural analysis. We need to be aware of the members’ geometric and material characteristics in indeterminate constructions. The modulus of elasticity of concrete is expressed in terms of the concrete’s characteristic strength, per the Indian codal requirements. Reinforced concrete is a composite material used in real-time structures. The current work aims to analyze the modulus of elasticity of a beam cross section with respect to the proportion of compression and tension reinforcement. The dimensions of the beam are 250 × 350 × 2300 mm, and it has two 12 mm diameter tension and compression bars. It is ensured that the doubly reinforced cross sections selected in the study are under reinforced based on limiting moment of resistance and limiting depth of neutral axis in line with codal provision. The provisions for the minimum and maximum reinforcement in both the tension and compression zones, as well as the spacing requirements for stirrups, adhere to the guidelines set forth in IS 456:2000. For a grade of concrete M30 and steel FE415, FE500, FE550, two-point loading has been taken into consideration when performing the FE analysis. The analysis’s result is an empirical formula for the modulus of elasticity for the grade of steel and concrete under consideration.