EXACT STIFFNESS MATRIX OF A NONUNIFORM BEAM .2. BENDING OF A TIMOSHENKO BEAM

被引:31
作者
FRIEDMAN, Z
KOSMATKA, JB
机构
[1] Department of Applied Mechanics and Engineering Science, University of California, San Diego, La Jolla
关键词
6;
D O I
10.1016/0045-7949(93)90056-J
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The exact bending stiffness matrix is developed for an arbitrary nonuniform beam including shear deformation. The current development is based upon Timoshenko's beam theory. The coefficients of the bending stiffness matrix require the evaluation of only three integrals. These coefficients are evaluated for a uniform beam (verification) and a nonuniform beam with either linearly or quadratically varying cross-section dimensions. Numerical results are presented to assess the interaction of taper rate and shear deformation on the behavior of short beams having a circular cross-section with linear taper and also short beams having a rectangular cross-section with either linear taper or two different types of simple quadratic taper.
引用
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页码:545 / 555
页数:11
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