Probabilistic Analysis Of A Space Truss By Means Of A Multidimensional Variable Description

Abstract

Probabilistic analysis of a space truss is presented in the paper. Reliability of such a structure is sensitive to geometrical and material imperfections. The objective of this paper is to present a variant of the point estimate method (PEM) to determine mean values and standard deviations of limit loads of engineering structures. The main advantage presented by this method is the small number of sample calculations required to obtain estimators of investigated parameters. Thus the method is straightforward, requiring only preliminaries of probability theory. This approach is illustrated by limit state analysis of a space truss, considering geometric and material imperfections. The calculations were performed for different random models, so the influence of random parameters on the limit load of the truss can be determined. A realistic snow load was imposed.

Keywords

• reliability
• point estimated method
• truss
• imperfections
• limit load analysis
• teoria niezawodności
• metoda estymacji rozkładem dyskretnym
• kratownica przestrzenna
• imperfekcje geometryczne i materiałowe
• analiza nośności granicznej