Papers Published

1. Lee, Byoung Koo and Wilson, James F. and Oh, Sang Jin, Elastica of cantilevered beams with variable cross sections, International Journal of Non-Linear Mechanics, vol. 28 no. 5 (1993), pp. 579 - 589 [0020-7462(93)90049-Q] .
   (last updated on 2007/04/09)

   Abstract:
   Numerical and experimental methods are developed for solving the elastica of cantilevered beams of variable cross sections subjected to combined loading. The beam model is based on Bernoulli-Euler beam theory. The Runge-Kutta and Regula-Falsi methods, respectively, are used to solve the governing differential equations and to compute the beam's horizontal deflection at the free end. Extensive numerical results, including deflected shapes and free-end rotations, are presented in non-dimensional form for elastic beams whose area moment of inertia (bending stiffness) varies linearly with beam length. In these studies, such beams are subjected to combinations of tip vertical loads, tip bending moments, and vertical distributed loads that vary linearly with beam length. Experimental studies are presented that complement the theoretical results.

   Keywords:
   Elasticity;Structural loads;Differential equations;Deflection (structures);Rotation;Bending (deformation);Mathematical models;