Analysis of stochastically parameterized prestressed beams and frames

The stochastic behaviour of materials and loading is great importance for buckling analysis prestressed beam frame structures. In this paper, the stiffness stress matrices are developed analysis. bending rigidity load modelled as fields. spectral decomposition known Karhunen–Loéve expansion has been used to expand random Using expansion, closed-form formulated in terms discrete parameters. considering both classical Euler–Bernoulli theory Timoshenko theory. Two case studies involving a pinned-pinned column structure demonstrate effectiveness proposed methods.