The probabilistic characterisation of the response of stochastic beams subjected to deterministic static loads is dealt with. These beams possess random bending flexibility modelled as a compound Poisson field. Starting from the basic equations ruling the beam bending problem, exact closed-form expressions of the response random fields are derived. A cantilever beam and two statically indeterminate beams under a uniformly distributed load are studied. It is shown that for statically determinate beams analytical expressions of response statistics can be easily formulated. Conversely, in the case of statically indeterminate beams a simulation technique may be more straightforward.
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