Research Article
Apr 1966
Finite Beams on Elastic Foundation
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 92, Issue 2
Abstract
The differential equation of beams of finite length, resting on a Winkler foundation is solved in terms of the initial conditions, i.e., the conditions at one of the ends of the beam. With the solution in this form, which contains the initial conditions as the constants of integration, it is then possible to write merely by inspection the equation of the elastic line. The solution of the resulting boundary value problem is simplified through the use of special functions, which possess interesting properties, and a table of values of these special functions.
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Published In
Journal of the Structural Division
Volume 92 • Issue 2 • April 1966
Pages: 131 - 142
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Apr 1966
Published online: Feb 1, 2021
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Constancio Miranda, AM.ASCE
Assoc. Prof. and Chmn., Dept. of Civ. Engrg., Univ. of Detroit, Detroit, Mich.; formerly, Research Assoc. Engr., Air Force Shock Tube Facility, Univ. of New Mexico, Albuquerque, N. Mex.
Keshavan Nair, AM.ASCE
Staff Engr., Woodward-Clyde-Sherard and Associates, Oakland, Calif.; formerly, Asst. Prof., Indian Inst. of Tech., Kanpur, India
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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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