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Advisor(s)
Abstract(s)
This work aims to present a proposal for verifying the safety of thin-walled profiles based
on the concept of effective elasticity modulus. This method has the advantage, compared
to the classical Effective Width method, of not requiring the alteration of geometric
properties of the section to account for the effects of post-buckling resistance on local and
distortional instability modes. Furthermore, it maintains theoretical consistency by
considering the variation of post-buckling average stresses relative to deformations.
The dissertation begins with a literature review on plate instability. Then a literature
review on section instability is conducted to demonstrate the consistency of applying the
concept of effective modulus to post-buckling resistance, illustrating examples of
effective elasticity modulus distributions in the post-buckling stage of columns and
beams.
Following this, an algorithm for calculating the resistance of columns and beams based
on the concept of Effective Elasticity Modulus is proposed. Initially, an innovative
criterion for post-buckling resistance of plates without imperfections is introduced, using
a new relationship between stresses and deformations, where the post-buckling resistance
of the plate is reached when the average stress corresponds to yield deformations, by
means an effective elasticity modulus. Subsequently, as a comprehensive parametric
study has not yet been conducted to calibrate the equations of effective modulus for local
and distortional instability modes, reduction coefficients of modulus equivalent to the
well-known Direct Strength Method are employed.
The proposed calculation algorithm for the Effective Modulus Method is then tested in
comparison with experimental and numerical results available in the literature. The
method is applied to take into account the interaction of local, distortional, and global
instability modes in columns and local and distortional modes in beams.
Description
Keywords
Engenharia civil Módulo de elasticidade efetivo Colunas de aço formadas a frio Modos de flambagem de interação Colunas de aço de paredes finas Método do módulo efetivo