Abstract
The present paper proposes a basic formulation for the static bending problem of beam-stiffened elastic plates. This problem has been so far analyzed using the Timoshenko theory in which the equivalent shear force and bending moments are assumed to act on the beam stiffener. Since fourth-order derivatives of unknown displacements are included in the formulation, in its numerical implementation fourth-order polynomials must be used as the interpolation functions. In this paper, the interactive forces and moments between the plate and the stiffener are treated as line distributed unknown loads. In the numerical implementation of the formulation, these forces can be approximated using a suitable family of interpolation functions. The formulation is presented in detail and a computer code is developed. The numerical results obtained by the computer code are discussed, whereby the usefulness of the proposed solution procedure is demonstrated.
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