ESTIMATION OF THE FAILURE PROBABILITY OF A REINFORCED CONCRETE BEAM LYING ON A STOCHASTIC ELASTIC BASE WITH TWO PRESSURE COEFFICIENTS, ON AN INCLINED SECTION FROM THE LATERAL FORCE

Abstract

The estimate of failure probability on the inclined section from the action of transverse forces, as well as the total probability of the limit States of reinforced concrete beams with probabilistic strength parameters lying on an elastic Foundation model V.Z. Vlasov-P.L. Pasternak, possessing stochastic properties. Probabilistic characteristics of the transverse force and its distribution density are constructed for a Foundation beam resting on an elastic base with two random characteristics, loaded with a quasi-stationary random load, taking into account the probabilistic nature of the strength properties of concrete and reinforcement. It is shown that if the spectral densities of the bed and load coefficients are fractional rational functions, the deflection correlation functions and, accordingly, the deflection variance are calculated using the residue theory.