Exact Analysis of Nonprismatic Beams
Publication: Journal of Engineering Mechanics
Volume 124, Issue 11
Abstract
An exact analysis of nonprismatic beams with general boundary conditions is presented. The analysis is based on the boundary integral method. The fundamental solutions for nonprismatic beams of linear and parabolic profiles are derived. The fundamental solution is used as a weighing function to transform the governing equation and the boundary condition equations into four algebraic equations. The resulting algebraic equations offer exact relations among the physical variables at the beam supports. The method is tested through two numerical examples to show its accuracy.
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References
1.
Banerjee, P. K., and Butterfield, R. (1981). Boundary element methods in engineering science. McGraw-Hill, Inc., London, U.K.
2.
Boley, B. A.(1963). “On the accuracy of the Bernoulli-Euler theory of beams of variable section.”J. Appl. Mech., 30(3), 373–378.
3.
Butterfield, R. (1979). “New concepts illustrated by old problems.” Chapter 1 in Developments in boundary element methods, P. K. Banerjee and R. Butterfield, eds., Vol. 1, Elsevier Applied Science, London, U.K.
4.
Hibbeler, R. (1990). Structural analysis, 2nd Ed., Macmillan Publishing Co., New York, N.Y.
5.
ICES-STRUDL. (1977). V3MI, 1977 version.
6.
Khan, M. S. (1995). “Boundary element analysis of non-prismatic beams and plates,” master's thesis, King Fahd University of Petroleum and Minerals, Saudi Arabia.
7.
Lee, S. Y., Ke, H. Y., and Kuo, Y. H.(1990). “Exact static deflection of a non-uniform Bernoulli-Euler beam with general elastic end restraints.”Comp. and Struct., 36(1), 91–97.
8.
Portland Cement Association. (1958). Handbook of Frame Constants. PCA, Chicago.
9.
Timoshenko, S. P., and Young, D. H. (1965). Theory of structures, 2nd Ed., McGraw-Hill, Inc., New York, N.Y.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 11 • November 1998
Pages: 1290 - 1293
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Nov 1, 1998
Published in print: Nov 1998
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