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Structural Engineering and Mechanics
  Volume 5, Number 3, May 1997 , pages 257-268
DOI: https://doi.org/10.12989/sem.1997.5.3.257
 


Elastic buckling of end-loaded, tapered, cantilevered beams with initial curvature
Wilson JF, Strong DJ

 
Abstract
    The elastic deflections and Euler buckling loads are investigated for a class of tapered and initially curved cantilevered beams subjected to loading at the tip. The beam\'s width increases linearly and its depth decreases linearly with the distance from the fixed end to the tip. Unloaded, the beam forms a circular are perpendicular to the axis of bending. The beam\'s deflection responses, obtained by solving the differential equations in closed form, are presented in terms of four nondimensional system parameters: taper ratio kappa, initial shape ratio Delta(0), end load ratio f, and load angle theta. Laboratory measurements of the Euler buckling loads for scale models of tapered initially straight, corrugated beams compared favorably with those computed from the present analysis. The results are applicable to future designs of the end structures of highway guardrails, which can be designed to give the appropriate balance between the capacity to deflect a nearly head-on vehicle back to its right-of-way and the capacity to buckle sufficiently that penetration of the vehicle may be averted.
 
Key Words
    elastic buckling, Euler load, cantilevered beam, corrugated cross section, curved beam, guardrail, initial curvature, tapered beam, variable cross section
 
Address
Wilson JF, DUKE UNIV,DEPT CIVIL & ENVIRONM ENGN,DURHAM,NC 27708
N CAROLINA DEPT TRANSPORTAT,RALEIGH,NC
 

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