Stress analysis of a singly reinforced concrete beam with uncertain structural parameters

摘要

This paper presents the effect of interval uncertainty of input parameters in the stress analysis of reinforced concrete flexural members. A singly reinforced concrete beam with interval values of steel reinforcement and corresponding Young's modulus and subjected to an interval bending moment is taken up for analysis. The internal moment of resistance of the beam is expressed as a function of interval values of stresses in concrete and steel. The internal moment of resistance is equated to the external bending moment due to interval loads acting on the beam. The stresses in concrete and steel are obtained as interval values for various combinations of interval values of structural parameters. The interval stresses and strains in concrete and steel obtained using combinatorial solution, search-based algorithm, sensitivity analysis and interval global optimisation are found to be in excellent agreement.