TITLE:
Von Misses Pure Shear in Kirchhoff’s Plate Buckling
AUTHORS:
Tonye Ngoji Johnarry, Francis Williams Ebitei
KEYWORDS:
Rectangular Plate, Kirchhoff’s Plate-Differentials, Deflection, Buckling, Pure-Shear, Von Misses
JOURNAL NAME:
Open Journal of Civil Engineering,
Vol.10 No.2,
April
26,
2020
ABSTRACT: The pure
shear strength for the all-simply supported plate has not yet been found; what is
described as pure shear in that plate, is, in fact, a
pure-shear solution for another plate clamped on the “Y-Y” and simply supported
on the long side, X-X. A new solution for the simply supported case is
presented here and is found to be only 60-percent of the currently believed
results. Comparative results are presented for the all-clamped plate which
exhibits great accuracy. The von Misses yield relation is adopted and through
incremental deflection-rating the effective shear curvature is targeted in
aspect-ratios. For a set of boundary conditions the Kirchhoff’s plate capacity
is finite and invariant for bending, buckling in axial and pure-shear and in
vibration.