Research Article
Dec 1972
Statics of Random Beams
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 98, Issue 6
Abstract
Fundamental descriptions of the statics of linear random beams, i.e., linear beams having at least one random characteristic, material or loading are derived. A variety of well-known deterministic expressions for concentrated loads and moments for different support conditions are shown to possess an underlying polynomial-type random model. Techniques are devised for their treatment, and the results are expressed in terms of operational transforms. Their use is illustrated in obtaining the probability function for moment in the examples considered. For expositional clarity, the analysis is limited to mutually independent random variables. Generalizations are easy to conceptualize but expressions become cumbersome.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 6 • December 1972
Pages: 1487 - 1497
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© 1972 American Society of Civil Engineers.
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Published in print: Dec 1972
Published online: Feb 3, 2021
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Authors
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Devendra K. Shukla
Grad. Student, Dept. of Civ. Engrg., Univ. of Delaware, Newark, Del.
Robert M. Stark, M.ASCE
Currently, Visiting Assoc. Prof., MIT, Cambridge, MA, Assoc. Prof., Depts. of Civ. Engrg. and Computer Sci. and Statistics, Univ. of Delaware, Newark, Del.
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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.