Static analysis of Euler-Bernoulli beams with interval Young’s modulus

A non-probabilistic approach for analyzing the effects of Young’s modulus uncertainty on the response of Euler–Bernoulli beams under deterministic static loads is presented. The uncertain material property isdescribed by applying an interval field model based on the so-called improved interval analysis. Thebounds of the interval response are determined in approximate closed-form by performing a finite differencediscretization of the governing interval ordinary differential equation and applying the so-calledInterval Rational Series Expansion.The proposed procedure is applied to investigate the effects of Young’s modulus uncertainty on thebending response of beams with different boundary conditions.