Article ID Journal Published Year Pages File Type
784869 International Journal of Non-Linear Mechanics 2015 9 Pages PDF
Abstract

•A new analytical solution of the problem is given in terms of Jacobi elliptical functions and the Jacobi zeta function.•The domain of the solution is established.•Approximation expressions for load factor as a polynomial function of deflection is derived.

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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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