A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: THE GENERAL THEORY OF ORBITS

Cold-formed steel structures

Introductory Concepts and Mathematics. Theory of Deformation. Theory of Stress. Three--Dimensional Equations of Elasticity. Plane Theory of Elasticity in Rectangular Cartesian Coordinates. Plane Elasticity in Polar Coordinates. Prismatic Bar Subjected to End Load. General Solutions of Elasticity. References. Bibliography. Index.

Elasticity in engineering mechanics

Equilibrium and stability equations of a rectangular plate made of functionally graded material under thermal loads are derived, based on the classical plate theory. When it is assumed that the material properties vary as a power form of thicknesscoordinate variable z and when the variational method is used, the system of fundamental differential equations isestablished. Thederived equilibrium and stability equationsforfunctionally graded plates areidenticalwith theequationsforhomogeneousplates. Bucklinganalysisoffunctionally graded platesunderfour typesofthermalloadsiscarriedoutresultinginclosed-formsolutions.Thebucklingloadsarereducedtothecritical buckling temperature relationsfor functionally graded plates with linearcomposition of constituent materials and homogeneous plates. The results are validated with the reduction of the buckling relations for functionally graded plates to those of isotropic homogeneous plates given in the literature.

Thermal Buckling of Functionally Graded Plates

Stress-strain curves for hot-rolled steels

Introduction. Equilibrium, Buckling, and Total Potential. Buckling Analysis of Simple Structures. Finite Element Buckling Analysis. Simply Supported Columns. Restrained Columns. Simply Supported Beams. Restrained Beams. Cantilevers. Braced and Continuous Beams. Beam-Columns. Plane Frames. Arches and Rings. Inelastic Buckling. Strength and Design of Steel Members. Special Topics. Appendices: Units and Conversion Factors. Glossary of Terms. Principal Notation. Index.

Flexural-Torsional Buckling of Structures

The second edition of this textbook has been revised in accordance with the m recent UK, US and Australian limit-state design codes for structural steel, particularly the behavior of steel structures and the criteria used in desig Annotation copyright Book News, Inc. Portland, Or.

The behaviour and design of steel structures

1. Introduction 2. Tension Members 3. Compression Members 4. Local Buckling of Thin Plate Elements 5. In-Plane Bending of Beams 6. Lateral Buckling of Beams 7. Beam-Columns 8. Frames 9. Joints 10. Torsion Members

The Behaviour and Design of Steel Structures to EC3

A flexural torsional buckling theory for circular arches of doubly symmetric cross section is developed. Non linear expressions for the axial and shear strains are derived and these are substituted into the second variation of the total potential to obtain the buckling equation. Closed form solutions are obtained for simply supported arches subjected to equal and opposite end moments (uniform bending), and to uniformly distributed radial loads (uniform compression), and for circular rings subjected to uniformly distributed radial loads. The results are compared with previous solutions (a).

Flexural-torsional buckling of arches

There is a shortage of information on the elastic flexural-torsional buckling of monosymmetric cantilevers, while some differences of opinion exist on the effects of monosymmetry. The buckling of beams and cantilevers is studied in this paper, and theoretical critical loads are tabulated for a wide range of sections. The loadings considered include central concentrated loads on beams, end concentrated loads on cantilevers, and uniformly distributed loads, and these are applied at various distances above or below the shear center axis. It is shown that while the effects of monosymmetry and of height of the point of application of the load above the shear center on the critical loads of simply supported beams are additive, the reverse is true for cantilevers. The differences of opinion as to the effects of monosymmetry are resolved by an experimental investigation, the results of which support the most common expression for the monosymemtry section property.

Nicholas S. Trahair

Papers

Flexural-Torsional Buckling of Structures

The behaviour and design of steel structures

The Behaviour and Design of Steel Structures to EC3

Flexural-torsional buckling of arches

Stability of Monosymmetric Beams and Cantilevers