Papers Published

1. Wilson, James F. and El-Esnawy, Nayer A., Plastic collapse of tapered, tip-loaded cantilevered beams, Structural Engineering and Mechanics, vol. 9 no. 6 (2000), pp. 569 - 588 .
   (last updated on 2007/04/09)

   Abstract:
   The plastic collapse loads and their locations are predicted for a class of tapered, initially curved, and transversely corrugated cantilevered beams subjected to static tip loading. Results of both closed form and finite element solutions for several rigid perfectly plastic and elastic perfectly plastic beam models and evaluated. The governing equations are cast in nondimensional form for efficiency studies of collapse load as it varies with beam geometry and the angle of the tip load. Static experiments for laboratory-scale configurations whose taper flared toward the tip, complemented the theory in that collapse occurred at points about 40% of the beams length from the fixed end. Experiments for low speed impact loading of these configurations showed that collapse occurred further from the fixed end, between the 61% and 71% points. The results may be applied to the design of safer highway guardrail terminal systems that collapse by design under vehicle impact.

   Keywords:
   Structural analysis;Plastic deformation;Structural loads;Finite element method;Plasticity;Elasticity;Mathematical models;Safety factor;Buckling;Impact testing;