reliability analysis of beams with both random material properties and random loading conditions

in the present paper, an algorithm is presented for reliability analysis of beams with random material properties under static spatially random loads. the randomness may be due to the employed manufacturing process that leads to components with slightly different microstructures. since the material properties are random, the stiffness matrices and subsequently, the response will be of random natures. on the other hand, majority of the service loads of some structures, e.g. airplanes, vehicles, and machining equipments are random. therefore, special techniques should be utilized. in the present paper, variability of the response is determined and discussed through various examples. the proposed algorithm is extended to include a stress-based analysis. finally, reliability of the beam is evaluated in the treated examples.