3 Works

Approximate Estimation of Stability of Homogeneous Beam on Elastic Foundation

Iwona Małgorzata WSTAWSKA, Krzysztof MAGNUCKI & Piotr KĘDZIA
The paper deals with a proposition of obtaining an analytical solution for a beam on elastic foundation. The main objective of presented work was stability analysis of the axially compressed beam. The analytical model was proposed. Shape function for inhomogeneous properties of the foundation was assumed. The Galerkin method was used to calculate the values of critical forces. Main conditions have been defined. The critical loads as a function of geometric and mechanical properties of...

Bending of Beams with Symmetrically Varying Mechanical Properties Under Generalized Load – Shear effect

Krzysztof MAGNUCKI & Jerzy LEWIŃSKI
The paper is devoted to simply supported beams with symmetrically varying mechanical properties in the depth direction. Generalized load of the beams includes the load types from uniformly distributed to point load (three-point bending). This load is analytically described with the use of a certain function including a dimensionless parameter. The value of the parameter is decisive for the load type. The individual nonlinear “polynomial” hypothesis is applied to deformation of a planar cross section....

Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration

Krzysztof MAGNUCKI, Ewa MAGNUCKA-BLANDZI, Jerzy LEWIŃSKI & Szymon MILECKI
The subject of the paper is an unsymmetrical sandwich beam. The thicknesses and mechanical properties of the beam faces are different. Mathematical model of the beam is formulated based on the classical broken-line hypothesis. The equations of motions of the beam is derived on the ground of the Hamilton’s principle. Bending, buckling and free-vibration are studied in detail for exemplary unsymmetrical structure of the beam. The values of deflection, critical force and natural frequency are...

Registration Year

  • 2019
    3

Resource Types

  • Data Paper
    3

Affiliations

  • Tabor (Poland)
    3
  • Poznań University of Technology
    2