Techno Press
You logged in as

Structural Engineering and Mechanics   Volume 4, Number 1, January 1996, pages 49-59
DOI: https://doi.org/10.12989/sem.1996.4.1.049
 
Large deflection of simple variable-arc-length beam subjected to a point load
Chucheepsakul S, Thepphitak G

 
Abstract     [Buy Article]
    This paper considers large deflection problem of a simply supported beam with variable are length subjected to a point load. The beam has one of its ends hinged and at a fixed distance from this end propped by a frictionless support over which the beam can slide freely. ?his highly nonlinear flexural problem is solved by elliptic-integral method and shooting-optimization technique, thereby providing independent checks on the new solutions. Because the beam can slide freely over the frictionless support, there is a maximum or critical load which the beam can carry and it is dependent on the position of the load. Interestingly, two possible equilibrium configurations can be obtained for a given load magnitude which is less than the critical value. The maximum are-length was found to be equal to about 2.19 times the fixed distance between the supports and this value is independent of the load position.
 
Key Words
    bar, beam, elastica, elliptic-integrals, shooting-optimization, large deflections, variable-arc-length beam
 
Address
Chucheepsakul S, KING MONGKUTS INST TECHNOL THONBURI,DEPT CIVIL ENGN,BANGKOK 10140,THAILAND
NATL UNIV SINGAPORE,DEPT CIVIL ENGN,SINGAPORE 0511,SINGAPORE
 

Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2019 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: technop@chol.com