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An exact,closed-form solution for equilibrium of traveling,sagged, elastic cables under uniformly distributed loading
Institution:1. Advanced Technology Development Centre, Indian Institute of Technology Kharagpur, India;2. Department of Chemical Engineering, Indian Institute of Technology Kharagpur, India;3. Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, India;1. Department of Mathematics, COMSATS Institute of Information Technology, Kamra Road, Attock 43600, Pakistan;2. Department of Mathematics, Faculty of Physical and Numerical Sciences, Islamia College Peshawar, Jamrod Road, University Campus, Peshawar 25120 Khyber Pakhtunkhwa, Pakistan;3. Department of Mathematics, COMSATS Institute of Information Technology, Park road, Chak Shahzad, Islamabad 44000, Pakistan
Abstract:The exact, closed-form solution for equilibrium of traveling, sagged, elastic cables under uniformly-distributed loading is derived. Three components of displacement describing two equilibria of an extensible, traveling, elastic cable are also obtained. Illustrations of equilibrium configuration, tension distribution and displacements of cables are given.
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