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Analysis and design of plated structures: Stability
We have great pleasure in writing the preface for this book on Analysis and
Design of Plated Structures: Stability, the first of the planned set of two
volumes on plated structures. The inspiration for these books comes from the
recognition of the significant advances that have taken place during the last
few decades. As a result of the research findings, our understanding of the
behaviour of thin-walled structural (or plate) elements has increased
considerably. The improved understanding of the complex stability problems,
in turn, has set new trends and caused major changes in the design codes in
North America, Europe and Australia. Even the design philosophy has seen
a major shift from the permissible stress basis to the concept of limit state;
the Specifications concerned with the design of thin-walled structural elements
are based on the vast amount of fundamental research findings. Research
efforts continue in the field of post-elastic, post-buckling, and ultimate ranges
and the benefit to be derived from the research outcomes depends on their
effective implementation. It is necessary to remove the misconception amongst
the designers and practitioners that solutions for stability problems are fraught
with complexities and hence difficult to use in the design office. The objective
of this book is to explain the current analytical methods, and to provide the
theoretical background to the design specifications for plated structures.
This volume, dedicated to stability of plated structures, contains fifteen
chapters, written by well-known experts who have made significant
contributions in their relevant fields. Each topic is presented with sufficient
introductory material in order to enable an engineering graduate, familiar
with basic understanding of structural analysis and structural stability, to
follow it without any difficulty. The first chapter addresses the lateral, or
flexural-torsional buckling of tapered steel members in bending. Using the
technique of ‘design by buckling analysis’, a design proposal is suggested
that makes use of the elastic buckling curves, and which interfaces with
existing rules for lateral buckling in either the BS5950 or the AS4100 codes.
Elastic buckling of thick plates under variable in-plane loads is dealt with in
Chapter 2. The effects of transverse shear deformation and the higher order
nonlinear terms (curvature terms) on the buckling load are allowed for. Finite
element formulation for plate stability analysis is given in Chapter 3 in
which a generic total Lagrangian formulation for nonlinear continuum
mechanics is presented to degenerate plate equilibrium equations directly
from the 3D field equations. A meshfree Galerkin method is introduced in
Chapter 4 for the elastic buckling analysis of stiffened plates and stiffened
and un-stiffened corrugated plates. The stiffened plates are modelled as
composite structures that combine the plates and stiffeners by imposing
displacement compatible conditions between them. Chapter 5 deals with
plastic buckling of thick plates under in-plane compressive stresses. Analytical
plastic stability criteria are presented for plates with various plan shapes,
boundary and inplane loading conditions.
Mechanical and thermal buckling of functionally graded ceramic-metal
plates is treated in Chapter 6 whilst Chapter 7 describes a fully nonlinear
thermal postbuckling analysis of laminated plates. Local and interaction
buckling of plated structures in composite steel-concrete construction are
treated in Chapter 8 in which some recommendations on design approaches
are also presented. The possibility of designing lightweight postbuckling
aircraft structures, without compromising on structural integrity, paves the
way for the development of significantly lighter airframes. Experimental and
finite element results presented in Chapter 9 explain the behaviour of this
form of structure. Strength and ductility research findings related to thinwalled
steel members and structures are summarised in Chapter 10. It covers
isolated plates, stub-column segments and cantilever-typed columns, subjected
to compression, bending, combined compression and bending as well as
shear loadings. Both monotonic and cyclic loading conditions have been
considered. An analytical method to predict the behaviour of in-filled columns
is presented in Chapter 11. Effects of local buckling in the side-walls of the
column are accounted for in terms of effective width. In Chapter 12, the
analysis for buckling strength in corrugated webs is presented. Materially
and geometrically nonlinear analysis is formulated to evaluate elasto-plastic
buckling loads. Recent analytical research conducted in the United States on
the influence of curvature induced distortion and warping on the strength
and stability of curved plate girders used in roadway bridge superstructures
is described in Chapter 13. Challenges associated with transporting, lifting,
and erecting are described since construction loads are applied when the
girder is in minimally braced configurations and therefore is most susceptible
to local and global instabilities. Chapter 14 is concerned with the buckling
failure of metal structures generally formed of curved plates. These structures
are typically used in the liquid and bulk material storage industries, pressure
vessels, aerospace vehicles, and in many other contexts. Analysis and design
of pressure vessel closures which surprisingly may sustain buckling failure
under internal pressure followed by a consideration of buckling under external
pressure are the highlights in this chapter. The last chapter examines the
various types of elastic buckling which arise in the behaviour of light gauge
steel structural members such as beams and columns. The examination considers
only elastic buckling behaviour and its effects on the stiffness and strength
of thin plates and members.
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