Structural Engineering and Mechanics

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A high precision shear flexible element for bending analysis of thick/thin triangular plate

  • Haldar, S. (Department of Applied Mechanics, B. E. College (D.U.)) ;
  • Das, P. (Department of Computer Science, M.C.K.V. Institute of Engineering) ;
  • Manna, M.C. (Department of Applied Mechanics, B. E. College (D.U.))
  • Received : 2002.10.08
  • Accepted : 2004.02.11
  • Published : 2004.07.25
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Abstract

A high precision shear deformable triangular element has been proposed for bending analysis of triangular plate. The element has twelve nodes at the three sides and four nodes inside the element. Initially the element has thirty-five degrees of freedom, which has been reduced to thirty by eliminating the degrees of freedom of the internal nodes through static condensation. Plates having different boundary conditions, side ratios (b/a) and thickness ratios (h/a = 0.001, 0.1 and 0.2) have been analyzed using the proposed shear locking free element. Concentrated and uniformly distributed transverse loads have been used for the analysis. The formulation is made based on first order shear deformation theory. For validation of the present element and formulation few results of thin triangular plate have been compared with the analytical solutions. Results for thick plate have been presented as new results.

Keywords

References

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Cited by

  1. Analysis on Transverse Bending of Rectangular Plate vol.2, pp.4-5, 2015, https://doi.org/10.1016/j.matpr.2015.07.221