Probabilistic strength of materials and structural engineering

✍ Scribed by P. Kittl; G. Díaz

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 759 KB
• Volume: 25
• Category: Article
• ISSN: 0951-8320
• DOI: 10.1016/0951-8320(89)90030-6

✦ Synopsis

ABSTRA CT

Three types of random variables are considered in this paper, namely: (1) the properties of the materiak (2) the boundary conditions; and (3) external agents. The probability of fracture or plastic" deformation of a material subjected to external forces and hence having an internal stress field, verifies Weibull's law expressed by means of a general equation for variable stress field. In the case of some generalised structure the relationship can be generalised so as to apply to the same, and in such general structures soilinfluence ( Boussinesq and Flamant problems) as well as structure-location in the rock can be taken into account. Random boundary conditions cause changes in the cumulative probability, and this matter is subjected to a short discussion. On the other hand, external agents such as cyclic forces that give rise to fatigue, or earthquakes, can be considered for computing the cumulative probability o f fracture or plastic deformation. The tests allowing to obtain the specific risk of fracture function, as well as their uncertainties, are discussed.