SOME CLOSED-FORM BENDING FORMULAS FOR ELASTICALLY RESTRAINED EULER-BERNOULLI BEAMS UNDER POINT AND UNIFORMLY DISTRIBUTED LOADS


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Yildirim V.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, cilt.17, ss.97-109, 2018 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 17 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.17512/jamcm.2018.3.09
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
  • Sayfa Sayıları: ss.97-109

Özet

The transfer matrix method based on the Euler-Bernoulli beam theory is employed in order to originally achieve some exact analytical formulas for elastically supported beams under a point force together with uniformly distributed force and uniformly distributed couple moments. Those closed-form formulas can be used in a variety of engineering applications especially at the pre-design stage to get an insight into the response of the structure. Contrary to the classical boundary conditions, it is also observed that the Euler-Bernoulli solutions of a beam with elastic supports are sensitive to the ratio of length to thickness (L/h).