MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION

Abstract

The paper presents the methodic for analytical determining of stress-strain state of a beam partially supported on elastic foundation at sudden damage of foundation structure (partial failure). Bending equation for a beam is written using dimensional parameter and solved with the initial parameters method. Such approach al­lows to obtain dimensional analytical solution to static and dynamic problems for universal boundary conditions of a beam since it always leads to equations’ system of second order. Using numerical analysis for various values of generalized stiffness parameter of a system “beam - foundation”, we established affecting of the length of failure foundation part to stress-strain state of the beam for two supporting variants: partial supporting and sup­porting by two ends with foundation failure in the middle part of the beam.

Authors and Affiliations

Vladimir Travush, Vitaly Kolchunov, Yevgeny Leontiev

Keywords

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  • EP ID EP605973
  • DOI 10.22337/2587-9618-2019-15-2-144-158
  • Views 79
  • Downloads 0

How To Cite

Vladimir Travush, Vitaly Kolchunov, Yevgeny Leontiev (2019). MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION. International Journal for Computational Civil and Structural Engineering, 15(2), 144-158. https://europub.co.uk/articles/-A-605973