TECHNICAL PAPERS
Feb 1, 1986
Plastic Analysis of Floating Beams
Authors: Shankar U. Bhat and Paul C. XirouchakisAuthor Affiliations
Publication: Journal of Engineering Mechanics
Volume 112, Issue 2
Abstract
Exact solutions are presented for the load‐deflection behavior of a free‐free beam on an elastic (Winkler type) foundation, which is subjected to a concentrated load at midlength. Two constitutive models are considered: Rigid‐perfectly‐plastic and elastic‐perfectly‐plastic (ideal section), and in each case the problem is reduced to the solution of a nonlinear ordinary differential equation with associated initial conditions. The initial value problems are solved numerically using the fourth order Runge‐Kutta method. For loads greater than the threshold value at which the three‐hinge mechanism forms, both exact solutions produce practically identical results for long beams. This leads to the conclusion that elastic effects are insignificant in a long elastic plastic floating beam, after the three‐hinge mechanism is formed. The second iteration solution of an approximate method of analysis for the rigid‐plastic beam is also presented. Good agreement is found between the approximate and the exact rigid‐plastic results.
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Copyright © 1986 ASCE.
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Published online: Feb 1, 1986
Published in print: Feb 1986
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Shankar U. Bhat
Research Engr., Amoco Production Co., Tulsa, OK 74102; formerly, Grad. Student, M.I.T., Cambridge, MA 02139
Paul C. Xirouchakis
Assoc. Prof., National Technical Univ. of Athens, Athens, 106842, Greece
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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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.