New exact solutions for randomly loaded beams with stochastic ~exibility

Presently there exist several hundred papers on so-called stochastic finite element technique| but extremely few closed-form solutions are available for meaningful comparison This paper intends to fill this huge gapThis study deals with deformation of deterministic beams or stochastic beams subjected to random excitation, Exact solutions are formulated for four different classes of problems These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate, analytical or numerical techniques.