Dissertation/Thesis Abstract

Lateral buckling of horizontally curved beams
by Elsherif, Omar, Ph.D., Polytechnic Institute of New York University, 2009, 153; 3373056
Abstract (Summary)

Curved steel beams are commonly used in the construction of modern bridges, highway ramps and interchanges, major buildings, ships, and air space structures and as of today there is no closed-from solution to this class of problems. The mathematical expression of the problem as shown in literature is very complex and its numerical solution may not be accurate.

This Thesis presents a closed form solution to the problem of the lateral stability against buckling of horizontally curved beams with or without constant radius of curvature. This theoretical analysis was performed under the assumption that, the lateral and angular displacements in the buckling state are very small compared to the initial radius of curvature where the second order terms can be neglected and the cross-section in the strained state retains its original shape.

Solving the differential equation of equilibrium for this type of elastic stability problem by common methods was an improbable task. Therefore, it has become necessary to implement a new method to overcome these difficulties.

Indexing (document details)
Advisor: Maloof, Roula
Commitee: Ghandehari, Masoud, Gupta, Nikhil, Iskander, Magued, Lin, Feng_Bao
School: Polytechnic Institute of New York University
Department: Civil Engineering
School Location: United States -- New York
Source: DAI-B 70/09, Dissertation Abstracts International
Subjects: Aerospace engineering, Civil engineering, Mechanical engineering
Keywords: Buckling of arches, Curved beams, Flexural-torsional buckling, Horizontally curved beams, Lateral buckling, Lateral instability, Out-of-plane curved beams
Publication Number: 3373056
ISBN: 9781109386974
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