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

Cheng Chang-jun; Yang Xiao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(6): 505-520

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.

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.

PDF( 832 KB)

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

Lanzhou University, Lanzhou

Received Date: 1989-08-21
Publish Date: 1990-06-15

Abstract

Abstract

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.

FullText(HTML)

References(5)

References

[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.