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Title: Exact solutions of variable-arc-length elasticas under moment gradient
Authors: Chucheepsakul, S.
Thepphitak, G.
Wang, C.M. 
Keywords: Beams
Large deflections
Variable-arc-length bars
Issue Date: Sep-1997
Citation: Chucheepsakul, S.,Thepphitak, G.,Wang, C.M. (1997-09). Exact solutions of variable-arc-length elasticas under moment gradient. Structural Engineering and Mechanics 5 (5) : 529-539. ScholarBank@NUS Repository.
Abstract: This paper deals with the bending problem of a variable-arc-length elastica under moment gradient. The variable arc-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 fixed 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.
Source Title: Structural Engineering and Mechanics
ISSN: 12254568
Appears in Collections:Staff Publications

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