scholarly journals Torsional Analysis of Partially Closed Open Section

1983 ◽  
Author(s):  
R. K. Mysore
Keyword(s):  
Continuous Medium ◽  
Torsional Stiffness ◽  
Intermediate Case ◽  
Design Charts ◽  
Open Section ◽  
Bending Stresses ◽  
Thin Walled ◽  
Torsional Analysis ◽  
Medium Method

The torsional stiffness of a thin walled closed section is many times greater than that of the corresponding open section. The structure consisting of a thin walled open section partially closed along its length by beams is an intermediate case and studies have been carried out to analyze the torsional behavior of such structures. The continuous medium method, in which the intermediate connecting beams are replaced by an equivalent continuous medium, is applied for the torsional analysis. Basically, Vlasov’s theory is applied for the torsional analysis and for the determination of axial warping stresses. Expressions to determine the angle of twist and warping stresses are obtained. Design charts are developed to determine the response for various stiffnesses of intermediate connecting beams. Comparisons between completely open and partially open sections are made for angle of twist and warping stresses. Also, the warping stresses are compared with bending stresses and it is shown that the warping stresses could be very significant.

Measurements of Torsional Stiffness Changes and Instability Due to Tension, Compression, and Bending

1953 ◽  
Vol 20 (4) ◽  
pp. 553-560
Author(s):  
H. L. Engel ◽  
J. N. Goodier
Keyword(s):  
Nonlinear Behavior ◽  
Torsional Stiffness ◽  
Open Section ◽  
Thin Walled

Abstract The measurements reported verify theoretically predicted effects of tension, compression, and bending, on the torsional stiffness of uniform bars of thin-walled open section. Related modes of buckling and types of nonlinear behavior in torsion are indicated analytically and exhibited in tests, some of these being apparently new.

Elastic Torsion in the Presence of Initial Axial Stress

1950 ◽  
Vol 17 (4) ◽  
pp. 383-387
Author(s):  
J. N. Goodier
Keyword(s):  
Cross Section ◽  
Axial Stress ◽  
Torsional Rigidity ◽  
Torsional Stiffness ◽  
Lateral Buckling ◽  
Initial Tension ◽  
Open Section ◽  
Thin Walled ◽  
The Cross

Abstract The torsional rigidity, for small elastic torsion, of bars of thin-walled open section, is, in general, altered by initial tension, compression, bending, or other axial stress. This appears in the increase of torsional stiffness of strips due to tension, in the decrease to zero in open sections which buckle torsionally as columns, and also has an influence on lateral buckling of beams. This paper contains an extension of the Saint Venant solution for ordinary torsion to the problem of torsion in the presence of initial axial stress with any distribution on the cross section. The results are confirmed by tests, and validate the intuitively derived formulas which are in use.

Torsional analysis of hollow members with sandwich wall

2017 ◽  
Vol 19 (3) ◽  
pp. 317-347 ◽  
Author(s):  
Fatemeh Taheri ◽  
Mohammad R Hematiyan
Keyword(s):  
Cross Section ◽  
Torsional Stiffness ◽  
The Finite Element Method ◽  
Compatibility Conditions ◽  
Material Parameters ◽  
Fine Mesh ◽  
The Face ◽  
Sandwich Wall ◽  
Thin Walled ◽  
Torsional Analysis

This paper proposes an analytical formulation for torsional analysis of thin-walled and moderately thick-walled hollow members with sandwich wall. The sandwich rod can have a complicated cross-section including straight and curved edges. The material and thickness of the two faces of the sandwich are assumed the same. Prandtl’s stress function is used to formulate the problem for faces and core, while the continuity and compatibility conditions at the face–core interfaces are also used to complete the formulation. By the presented method, it is possible to find the torsional stiffness and the shearing stress in the cross-section. By presenting several numerical examples, the accuracy of the presented method is demonstrated. The accuracy of the solutions resulting from the proposed method is demonstrated by comparing the results with accurate solutions obtained from the finite element method with a fine mesh. The effects of different geometrical and material parameters on the accuracy of the solutions are studied too. The presented formulation is quite practical and is employable for analyzing the torsion of thin- and moderately tick-walled sandwich members.

scholarly journals An approach to the optimization of thin-walled cantilever open section beams

2007 ◽  
Vol 34 (4) ◽  
pp. 323-340 ◽  
Author(s):  
Nina Andjelic ◽  
Vesna Milosevic-Mitic
Keyword(s):  
Cross Section ◽  
Stress Constraints ◽  
Cross Sectional ◽  
Beam Elements ◽  
Geometrical Characteristics ◽  
Open Section ◽  
Optimal Values ◽  
Thin Walled ◽  
Constrained Torsion

An approach to the optimization of the thin-walled cantilever open section beams subjected to the bending and to the constrained torsion is considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled I-beam and channel-section beam elements for given loads, material and geometrical characteristics. The area of the cross-section is assumed to be the objective function. The stress constraints are introduced. Applying the Lagrange multiplier method the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.

Torsional Analysis of a Steel Cord-Rubber Tire Belt Structure

1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Composite Structures ◽  
Three Dimensional ◽  
Element Model ◽  
Torsional Stiffness ◽  
Element Analysis ◽  
Rubber Belt ◽  
Steel Cord ◽  
Torsional Analysis

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.

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