Additional interpretations of the solution of the straight beam differential equation
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Authors
Borg, S.F.
Subjects
Advisors
Date of Issue
1950-09
Date
Publisher
Elsevier
Language
Abstract
The fundamental differential equation of the transversely loaded straight beam, the Bernoulli-Euler equation, has been subject to various interpretive solutions. Perhaps the two best known solutions of this kind are the moment-area and conjugate beam methods which solve the equation with the aid of certain properties of the curves for the beam in question. The present paper applies two separate mathematical methods to the solution of this equation. The first method makes use of the Green's function and obtains a solution for the beam built-in both ends. The second method utilizes the so-called "superposition theorem" which is frequently applied to problems involving transient phenonema such as those encountered in electrical network and vibration problems, and obtains a solution valid for any type of support.
Type
Article
Description
Series/Report No
Department
Aeronautics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
8 p.
Citation
S.F. Borg, "Additional interpretations of the solution of the straight beam differential equation," Journal of the Franklin Institute, (September 1950), pp. 249-256.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.