TECHNICAL NOTES
Dec 1, 1984
Approximate Stiffness Matrix for Tapered Beams
Publication: Journal of Structural Engineering
Volume 110, Issue 12
Abstract
A method for finding a modified bending stiffness matrix for a member of varying section is presented. The assumption is made that the displacement function for a uniform beam may be used as an approximation to the correct displacement function, thus leading to greater simplicity in the computation, while providing sufficient accuracy for most purposes. It is shown that for two practical applications of the approximate stiffness matrix for tapered beams, economy of effort can be achieved without any great loss of accuracy. For large tapers, the accuracy of the method is acceptable. Even greater accuracy is to be expected for smaller tapers.
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References
1.
Jenkins, W. M., Matrix and Digital Computer Method in Structural Analysis, McGraw‐Hill Book Co., Inc., New York, N.Y., 1969.
2.
Just, D. J., “Plane Frameworks of Tapering Box and I‐Section,” Journal of the Structural Division, ASCE, Vol. 103, No. ST1, Jan., 1977, pp. 71–86.
3.
Timoshenko, S., and Young, D. H., Theory of Structures, McGraw‐Hill Book Co., Inc., New York, N.Y., 1945.
4.
Tuma, J. J., and Munshi, R. K., Theory and Problems of Advanced Structural Analysis, McGraw‐Hill Book Co., Inc., New York, N.Y., 1971.
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Copyright © ASCE.
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Published online: Dec 1, 1984
Published in print: Dec 1984
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Authors
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Christopher J. Brown
Lect., Div. of Building Tech., Dept. of Mech. Engrg., Brunei Univ., Uxbridge, Middlesex, United Kingdom
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
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