Torsion of tubes of arbitrary shape

Wang, C.Y.

doi:10.1016/s0020-7683(97)00071-1

Cited by 10 publications

(7 citation statements)

References 3 publications

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“…This type of modeling has been successfully used in solving uniform (Saint-Venant) torsion problems. 37,40,42,43 In this section, new formulations which can predict the variation of the axial displacement and normal and shearing stresses along the beam and in the cross section are presented. By employing a suitable approximation, the non-uniform torsion problem is analytically solved in the straight and curved segments separately.…”

Section: Formulationsmentioning

confidence: 99%

“…The contour lines in a straight segment are assumed parallel to the boundary; therefore, ∂f=∂S vanishes on the left-hand side of equation (42), and the following equation is obtained…”

Section: Formulations For Straight Segmentsmentioning

confidence: 99%

“…This type of modeling has been successfully used in solving uniform (Saint-Venant) torsion problems. 37,40,42,43…”

Section: Formulationsmentioning

confidence: 99%

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Non-uniform torsion of open-section members considering cross-sectional curvatures

Mehdizadeh

Hematiyan

Nami

2016

The Journal of Strain Analysis for Engineering Design

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An analytical solution for torsional analysis of constrained open-section members, which can estimate the variation of the axial displacement, the normal and shearing stresses along the beam and across the cross section, is important and is the main goal of this article. A new formulation for constrained torsional analysis of open-section members is presented. In the formulation, cross sections with curved corners can be analyzed. The cross section is decomposed into some straight and curved segments with uniform thickness. This decomposition makes it possible to solve the governing equations in each segment analytically. The method can predict the stress concentration at reentrant corners of the cross section with an acceptable accuracy. Specific formulas for channel beams and tubes with a longitudinal slot are also derived. Accuracy of the presented method is verified by comparing the obtained results with the three-dimensional finite element method solutions with a fine mesh. Numerical investigations show that the obtained formulas give relatively accurate results for thin to moderately thick-walled open cross sections.

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Section: Formulationsmentioning

confidence: 99%

“…The contour lines in a straight segment are assumed parallel to the boundary; therefore, ∂f=∂S vanishes on the left-hand side of equation (42), and the following equation is obtained…”

Section: Formulations For Straight Segmentsmentioning

confidence: 99%

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Non-uniform torsion of open-section members considering cross-sectional curvatures

Mehdizadeh

Hematiyan

Nami

2016

The Journal of Strain Analysis for Engineering Design

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“…Wang [14] studied the torsion of a flattened isotropic tube consisting of two rectangular pieces and two half annular pieces. Later, he generalized his numerical method to treat hollow tubes with an arbitrary combination of rectangular and annular pieces [15]. Hematiyan and Doostfatemeh [16] developed a method for torsion of thin- to moderately thick-walled hollow polygonal tubes.…”

Section: Introductionmentioning

confidence: 99%

Torsion of tubes with quasi-polygonal holes using complex variable method

Bazehhour

Rezaeepazhand

2012

Mathematics and Mechanics of Solids

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In this paper, torsional analysis of hollow bars with specially shaped non-circular cross-sections is presented. The well-known formulation of the torsion problem in complex variable theory is used to obtain an expression for shear stresses, angle of twist and cross-sectional warping. The most important part of the solution of the torsion problem here is to obtain an appropriate closed-form conformal mapping for specially shaped cross-sections. The obtained mapping is used to achieve a solution for torsion problem of bars with specially shaped hollow cross-section. Finally, the calculated results are compared with the finite-element method solution. The presented solution is capable of accurately predicting the angle of twist, warping, and shear stress in the studied hollow bars.

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“…doi:10. /j.mechrescom.2007 ized the method to treat arbitrary cross sections consisting of circular arcs and straight lines, all with a uniform thickness (Wang, 1998). Mejak (2000) presented a method for optimal shape design of doubly connected bars in torsion.…”

Section: Introductionmentioning

confidence: 99%