Document Type

Computational mechanics paper

Publication details

Ranzi, G, Piccardo, G, Dias-da-Costa, D, Luongo, A 2014, 'A dynamic approach to the generalised beam theory including conventional, extension and shear modes', in ST Smith (ed.), 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), vol. II, Byron Bay, NSW, 9-12 December, Southern Cross University, Lismore, NSW, pp. 789-794. ISBN: 9780994152008.

Peer Reviewed



This paper presents a new approach for the evaluation of the deformation modes within the framework of the Generalised Beam Theory (GBT) and it is applicable to open, closed or partially-closed thinwalled cross-sections. The proposed procedure requires two dynamic analyses to be carried out on an unrestrained frame defined by the geometry of the thin-walled section. The calculated in-plane and out-of-plane dynamic modes are then taken as the basis of the deformation modes to be used in the GBT member analysis. A numerical example is presented to outline the ease of use of the proposed method of analysis considering a partially-closed thin-walled cross-section subjected to a longitudinal distributed load and arranged in a simply-supported configuration.