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Steel angle sections are commonly used as beams to support distributed loads which cause biaxial bending and torsion. However, many design codes do not have any design rules for torsion, while some recommendations are unnecessarily conservative, or are of limited application, or fail to consider some effects which are thought to be important. In this paper, proposals are developed for the section capacities of angle sections under bearing, shear, and uniform torsion. In a companion paper, consideration is given to the first-order elastic analysis of the biaxial bending of angle section beams, including the effects of restraints, and proposals are developed for the section moment capacities of angle sections under biaxial bending. The proposals in this and the companion paper can be used to design steel angle section beams which are laterally restrained so that lateral buckling and second-order effects are unimportant. DOI: 10.1061/(ASCE)0733-9445(2002)128:11(1394) CE Database keywords: Bearing capacity; Shear; Torsion; Angle section; Steel; Biaxial bending; Elastic analysis.

The Saint-Venant torsion problem of a circular cylinder reinforced by a nonconcentric circular bar of a different material with an imperfect interface is studied. Conformal mapping together with a Laurent series expansion are employed to analyze the problem. The jump condition in either the warping function or the shear traction, characterizing the imperfect interface, is simulated in the transformed domain in an exact manner. Unlike the problem with perfectly bonded interface, the series solution has to be resolved by a truncation. Numerical illustrations are provided for the torsional rigidity of the cross section. In the case of perfect bonding case, our results agree with that reported in Muskhelishvili. [DOI: 10.1115/1.1406962]

This paper studies the possibilities of propagation of torsional surface waves in nonhomogeneous anisotropic half-space under compressive initial stress. Two types of variations in nonhomogeneity, mainly hyperbolic and quadratic, have been discussed, and it is observed that in both cases the torsional surface wave will propagate in the media under consideration. The velocities of propagation have been computed and are presented in graphs. The study shows that for hyperbolic variation of nonhomogeneity, the increase of the anisotropic factor, increases the velocity of propagation, always keeping it more than that of shear wave in homogeneous medium. The presence of initial stress increases the velocity of propagation. In the case of quadratic variation it is found that the presence of initial stresses increases the velocity of propagation. The increase of anisotropy decreases the velocity, and the decrease in the nonhomogeneity factor increases the velocity, always keeping the velocity of torsional surface waves less than that of shear wave in the homogeneous medium.

In a previous paper, the writers presented a one-dimensional analytical model for the static analysis of multicell, thin-walled beams with nonhomogeneous cross sections. The proposed model accounts for shear deformations due to nonuniform bending and torsion supplementing the primary effects considered by the classical models. Here, the constitutive relations for the beam model are given and the dynamic analysis of the shear core is considered by a proper generalization of the continuous formulation. An algebraic procedure is given to evaluate the equivalent mechanical properties of the cross section. Moreover, a one-dimensional hierarchical finite element formulation is proposed for displacements and rotations. The proposed model is shown to cover the analysis of multicell, thin-walled beams, having regular cutouts, as is typical of shear cores of tall buildings. The applications include solutions to both the continuous and the discrete models.

Based on equilibrium and compatibility conditions, as well as a stress-strain relationship for softened concrete, a truss model theory for reinforced-concrete structural walls subjected to static shear was applied to determine the shear-force-displacement relationship as the primary curve for dynamic analysis. Similarly, the torque-twist relationship of reinforced-concrete box tubes subjected to static torsion was able to be determined using the truss model theory. In this paper, the inelastic dynamic response of reinforced-concrete box tubes to combined shear and torsion is predicted using the primary curve obtained by the interaction relationship between shear and torsion, the hysteretic model proposed for reinforced-concrete structures under shear or torsion, and the linear acceleration step-by-step method. Further, parametric studies are performed using the proposed algorithms.

An analytical and experimental study was conducted to investigate the elastic and failure behavior of composite laminated pipe under torsion. The analytical model was developed based on the mechanics of composite materials and the maximum strain failure criterion. Five composite pipe samples were tested on a specially designed pipe torsional tester. A finite element analysis was also performed to be compared with the analytical and experimental results. The relationship between applied torque and shear strain and between torque and torsional angles was obtained by all three methods. The effects of fiber angle and its deviation were also studied.

The shear deformation generated temperature rise in metallic glasses is estimated in a macroscopic three-dimensional axial symmetric thermoplastic model. The small sample thickness and/or high deformation rate has enabled the temperature to exceed the glass transition in the entire sample, which has produced a transition of the deformation mode from inhomogeneous to homogeneous viscous flow.