EXACT SOLUTIONS FOR BUCKLING OF STRUCTURAL MEMBERS

EXACT  SOLUTIONS FOR BUCKLING OF STRUCTURAL MEMBERS

In his book “Structural Design via Optimality Criteria”, George
Rozvany articulates William Prager’s personal preferences in research
on structural mechanics which may be summarized as:
• Research should reveal some fundamental and unexpected features
of the structural problem studied.
• Closed form analytical solutions are preferable to numerical ones
because the latter often obscure intrinsic features of the solution.
• Proofs should be based, whenever possible, on principles of
mechanics rather than advanced mathematical concepts in order to
make them comprehensible to the majority of engineers.
• The most challenging and intellectually stimulating problems should
be selected in preference to routine exercises.


Chapter 1 gives the introduction to buckling and the importance of
the critical buckling load in design. Chapter 2 presents the flexural
buckling solutions for columns under various loading, restraints and
boundary conditions. The effect of transverse shear deformation on the
buckling load of columns, a brief discussion on the flexural–torsional
buckling of columns for thin-walled members with open-profile, and
inelastic buckling of columns are presented in Chapter 2. Chapter 3
contains the exact flexural–torsional buckling solutions of beams and the
buckling solutions of circular arches and rings. Chapter 4 deals with the
buckling of thin and thick plates under inplane loads for various shapes
and boundary conditions. Results for inelastic buckling of circular,
rectangular and polygonal plates are also presented. Finally, Chapter
5 presents buckling solutions for cylindrical shells, spherical shells and
truncated conical shells.
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