Cheng Chang-jun, Yang Xiao. The Bending of a Thick Rectangular Plate with Three Clamped Edges and One Free Edge[J]. Applied Mathematics and Mechanics, 1990, 11(6): 505-520.
Citation: Cheng Chang-jun, Yang Xiao. The Bending of a Thick Rectangular Plate with Three Clamped Edges and One Free Edge[J]. Applied Mathematics and Mechanics, 1990, 11(6): 505-520.

The Bending of a Thick Rectangular Plate with Three Clamped Edges and One Free Edge

  • Received Date: 1989-08-21
  • Publish Date: 1990-06-15
  • The exact solution of the bending of a thick rectangular plate with three clamped edges and one free edge under a uniform transverse load is obtained by means of the concept of generalized simply-supported boundary[1] in Reissner's theory of thick plates. The effect of the thickness h of a plate on the bending is studied and the applicable range of Kirchhoffs theory for bending of thin plates is considered.
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  • [1]
    Cheng Chang-jun(程昌钧) and Duan Da-ming(段大鸣),Concept of generalized simply-supported boundary in theory of thick plates,KEXUE TONGBAO,33,6(1988),472-477.
    [2]
    Reissner,E.,The effect of transverse shear deformation on the bending of elastic plates,J.Appl.Mech.,12(1945),69-86.
    [3]
    Reissner,E.,On bending of elastic plates,Quart.Appl.Math.,5(1947),55-68.
    [4]
    Salerno,V.and M.A.Goldberg,Effect of shear deformation on the bending of rectangular plates,J.Appl.Mech.,27(1960),54.
    [5]
    程昌钧、尚新春,计及横向剪切变形效应的矩形板的弯曲,兰州大学学报(自然科学报),18,4(1982), 16-29.
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