Abstract
The nonlinear elastic problem for planar frames, made of rectilinear beams subjected to thermal loadings, is resolved here. The basic element is an Euler–Bernoulli beam, whose elongation is a nonlinear function of the displacements. The elastic law accounts for thermal deformations and for temperature-dependence of the elastic modulus. The elastic problem is formulated in a mixed equilibrium-compatibility form and an ‘exact’ finite element is derived. Assembling the element relations, the governing equations for the frame are recast in a discrete form. The nonlinear algebraic problem is solved numerically and results are compared with those provided by a FE software.
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