Torsion of moderately thick hollow tubes with polygonal shapes

Hematiyan, M. R.; Doostfatemeh, A.

doi:10.1016/j.mechrescom.2007.08.001

Cited by 10 publications

(4 citation statements)

References 7 publications

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“…email: mhemat@shirazu.ac.ir cross-section members with constant thickness. In this work, similar to the first author's previous works [2,9,10] on the torsion problem, the cross-section of the members has been modelled by several straight and curved (circular arc) segments. Only closed cross-sections (hollow members) have been considered previously; however, open cross-sections have been considered herein.…”

Section: Introductionmentioning

confidence: 99%

Saint-Venant Torsion of Open-Section Members of Uniform Thickness

Hematiyan

Estakhrian

2011

The Journal of Strain Analysis for Engineering Design

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An efficient analytical method for torsion analysis of open-section members of uniform thickness is presented. The conventional method based on the thin-walled theory for torsion analysis of bars can give good solutions only for members with small thickness and fillets of large radius. In the present method, a better approximation is employed, and much more accurate formulas are derived. The cross-section is considered to consist of some straight and curved (circular arc) segments. The Poisson equation of the torsion problem in terms of Prandtl's stress function is solved in each segment separately. By the present method, closedform solutions for shear stress and torsional rigidity of members with open cross-section can be found. Some formulas for torsion analysis of tubes with a longitudinal slit and for members with angle and channel cross-section are derived. While these formulas are relatively simple, they give excellent results for thin-to moderately thick-walled members.

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Section: Introductionmentioning

confidence: 99%

Saint-Venant Torsion of Open-Section Members of Uniform Thickness

Hematiyan

Estakhrian

2011

The Journal of Strain Analysis for Engineering Design

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“…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. They used governing equations in terms of Prandtl’s stress function to derive their approximate formulas.…”

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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“…On the other hand, Hematiyan and Doostfatemeh 14 proposed an analytical approximate method for analyzing torsional problem of hollow polygonal cross sections. They derived closed-form formulas for predicting the maximum shear stress and the angle of twist.…”

Section: Introductionmentioning

confidence: 99%

Closed-form formulation for torsional analysis of beams with open or closed cross sections having a crack

Shirazi

Hematiyan

2012

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this article, a semi-analytical approach is used to formulate the torsional analysis of beams having a crack. The formulation is based on analytical and accurate numerical analyses. The cross section is decomposed into several segments, including straight and curved segments with or without a crack. A dimensionless formulation is introduced and used to analyze the problem. The cracked segments are analyzed using the finite element method. The other segments are analytically formulated. The crack is supposed to be perpendicular to the boundary and located in the inner or outer surface of the beam. The thickness of the cross section is assumed to be uniform. Some numerical results are provided to show the accuracy of the presented method.

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Torsion of moderately thick hollow tubes with polygonal shapes

Cited by 10 publications

References 7 publications

Saint-Venant Torsion of Open-Section Members of Uniform Thickness

Saint-Venant Torsion of Open-Section Members of Uniform Thickness

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

Closed-form formulation for torsional analysis of beams with open or closed cross sections having a crack

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