Large deflections of a beam subject to three-point bending |
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| Affiliation: | 1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China;2. Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China;3. Institute of Intelligent Design and Manufacturing, The Chinese University of Hong Kong, Shatin, Hong Kong, China |
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| Abstract: | In this paper, a solution for the equilibrium configuration of an elastic beam subject to three-point bending is given in terms of Jacobi elliptical functions. General equations are derived, and the domain of the solution is established. Several examples that illustrate a use of the solution are discussed. The obtained numerical results are compared with the results of other authors. An approximation formula by which the beam load is given as a polynomial function of beam deflection is also derived. The range of applicability of the approximation is illustrated by numerical examples. |
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| Keywords: | Elasticity Cantilever Large deflections Three-point bending test |
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