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Structural Engineering and Mechanics Volume 5, Number 5, September 1997 , pages 529-539 DOI: https://doi.org/10.12989/sem.1997.5.5.529 |
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Exact solutions of variable-arc-length elasticas under moment gradient |
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Chucheepsakul S, Thepphitak G, Wang CM
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| Abstract | ||
| This paper deals with the bending problem of a variable-are-length elastica under moment gradient. The variable are-length arises from the fact that one end of the elastica is hinged while the other end portion is allowed to slide on a frictionless support that is fu;ed at a given horizontal distance from the hinged end. Based on the elastica theory, exact closed-form solution in the form of elliptic integrals are derived. The bending results show that there exists a maximum or a critical moment for given moment gradient parameters; whereby if the applied moment is less than this critical value, two equilibrium configurations are possible. One of them is stable while the other is unstable because a small disturbance will lead to beam motion. | ||
| Key Words | ||
| elliptic-integrals, large deflections, variable-arc-length bars, beams, elasticas | ||
| Address | ||
| Chucheepsakul S, KING MONGKUTS INST TECHNOL THONBURI,DEPT CIVIL ENGN,BANGKOK 10140,THAILAND 49 ENGN CONSULTANTS LTD,BANGKOK 10110,THAILAND NATL UNIV SINGAPORE,DEPT CIVIL ENGN,SINGAPORE 0511,SINGAPORE | ||