Journal of Theoretical
and Applied Mechanics
10, 3, pp. 441-448, Warsaw 1972
and Applied Mechanics
10, 3, pp. 441-448, Warsaw 1972
Obciążenie losowe konstrukcji jako funkcja stochastyczna z niezależnymi przyrostami
The bending moments for elastic beams (8) depend linearly on the sequence of random gravity loads acting on the beam, and the deterministic factors yt are the ordinates of an influence line for the bending moment. The parameters of probability distribution for the bending moment are defined for an equivalent uniformly distributed load. Constant distance for stochastically independent loads are initially assumed, and then – a random variable distance t is prescribed for the derivation of the probability distribution of the load g(x). A finite probability of no loading is taken under consideration.