NDLI: Further study on the refined theory of rectangle deep beams

Content Provider	Springer Nature Link
Author	Yang, Lian Zhi Shang, Lan Ge Gao, Yang Wang, Min Zhong
Copyright Year	2013
Abstract	Based on the refined theory for narrow rectangular deep beams, two different displacement boundary conditions of the fixed end of a cantilever beam are used to study the deformation of the beam. One is the conventional simplified displacement boundary condition, and the other is a new boundary condition determined by the least squares method. Three load cases are investigated, which are a transverse shear force at the free end of the beam, a uniformly distributed load at the top surface, and a linearly distributed load at the top surface, respectively. Solutions are given for both the refined theory and the Timoshenko beam theory and are compared with the known solutions from the elastic theory and results by the finite element method. It is shown that the solutions of the refined theory coincide with those of the elastic theory; the solutions from the Timoshenko theory by using the two different displacement boundary conditions are the same; the refined theory by using the new boundary condition provides better results than using the conventional boundary condition and also better than those of the Timoshenko beam theory.
Starting Page	1999
Ending Page	2007
Page Count	9
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	224
Issue Number	9
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2013-04-10
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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