THE NON-CLASSICAL PROBLEM OF AN ORTHOTROPIC BEAM OF VARIABLE THICKNESS WITH THE SIMULTANEOUS ACTION OF ITS OWN WEIGHT AND COMPRESSIVE AXIAL FORCES

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THE NON-CLASSICAL PROBLEM OF AN ORTHOTROPIC BEAM OF VARIABLE THICKNESS WITH THE SIMULTANEOUS ACTION OF ITS OWN WEIGHT AND COMPRESSIVE AXIAL FORCES Seyran Stepanyan

thickness, the equations of the problem of bending of 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 question of the stability of the beam is discussed.

DOI: 10.46991/PYSU:A/2019.53.3.183 Physical and Mathematical Sciences, 53(3 (250) 183-190

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Keywords

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

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