The article proposes a formula to evaluate the reliability of the structure according to the interval model. In the case that the load effects and structural capabilities are sets of the form of interval numbers, the interval reliability evaluation formula is extended and established from the reliability in the stochastic model based on the probability geometric definition and the basic operations of interval arithmetic. Next, the paper presents a method to determine the internal force of a beam structure placed on an elastic foundation considering the uncertainty of the input parameter in the form of intervals. The finite element method combined with the interval function optimization algorithm is used to determine the interval output internal force of the beam structure. From that, the evaluation formula is applied to evaluate the reliability of reinforced concrete beam structure placed on elastic foundation with input parameters in the form of interval form: elastic modulus of material, concrete strength, and reinforcement strength, static load and Winkler’s foundation coefficient.
Citation: Duy Cong Lea and Hoa Quang Nguyenb (2021) Interval Reliability Assessment of Reinforced Concrete Beam Placed on Elastic Foundation, International Journal of Civil Engineering, Construction and Estate Management, Vol.9, No.3, pp.16-32
Keywords: Finite Element Method, beam on elastic foundation, elastic foundation, interval analysis, interval numbers, interval reliability of structures, reliability of structures
