This article is cited in 1 paper

Mechanics

The non-classical problem of an orthotropic beam of variable thickness with the simultaneous action of its own weight and compressive axial forces

R. M. Kirakosyan^ab, S. P. Stepanyan<sup>a

a</sup> Yerevan State University
^b Institute of Mechanics, National Academy of Sciences of Armenia

Abstract: On the basis of the refined theory of orthotropic plates of variable thickness, the equations of the problem of bending an elastically clamped beam in the case of simultaneous action of its own weight and axial compressive forces are obtained. The effects of transverse shear and the effect of reducing the compressive force of the support are taken into account. Turning to dimensionless quantities, the specific problem for a beam of linearly variable thickness is solved by the collocation method. The results are presented both in tabular and in graphical form. The question of the stability of the beam is discussed. On the basis of the results obtained conclusions are made.

Keywords: elastically fastened support, bending, transverse shear, sole weight, axial compressive forces, stability.

MSC: Primary 74K10; Secondary 74E10, 74S30, 74G15

Received: 10.06.2019
Revised: 16.08.2019
Accepted: 10.12.2019

Language: English