Bridges for Pedestrians with Random Parameters using the Stochastic Finite Elements Analysis

Abstract

The main aim of this paper is to present a Stochastic Finite Element Method analysis with reference to principal design parameters of bridges for pedestrians: eigenfrequency and deflection of bridge span. They are considered with respect to random thickness of plates in boxed-section bridge platform, Young modulus of structural steel and static load resulting from crowd of pedestrians. The influence of the quality of the numerical model in the context of traditional FEM is shown also on the example of a simple steel shield. Steel structures with random parameters are discretized in exactly the same way as for the needs of traditional Finite Element Method. Its probabilistic version is provided thanks to the Response Function Method, where several numerical tests with random parameter values varying around its mean value enable the determination of the structural response and, thanks to the Least Squares Method, its final probabilistic moments.

On the Influence of Corrosion on the Load-Carrying Capacity of Old Riveted Bridges

“…Moreover, other inputs such as material properties and of course actions are also of a stochastic nature. If the more sophisticated calculation was the issue, stochastic numerical approaches replacing traditional finite element method (FEM) analysis are also available [17].…”

“…calculation was the issue, stochastic numerical approaches replacing traditional finite element method (FEM) analysis are also available [17].…”

Effective Mechanical Property Estimation of Composite Solid Propellants Based on VCFEM

“…Parametric variations of effective material constants have been studied by numerical and analytical methods in the past [2,3] and present [4][5][6]. There are a few studied on the microstructural morphology of the CSP.…”