Constrained torsion of a thin-walled rod

Stress and Strain Definition of an Open Profile Thin-Walled Beam at Constrained Torsion by Boundary Element Method Thin-walled beams with open profile at constrained torsion are investigated in this paper. A thin-walled beam loaded by an external bi-moment at constrained torsion is investigated in this paper. An analytical variant of the boundary element method (BEM) is presented, which is based on a new scheme of the integral ratios transformation of the initial parameters method in a system of linear algebraic equations. Only one dimensional integrals are used defining the one dimensional continuum.

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DYNAMIC PROBLEM FOR A THIN-WALLED BAR WITH A MONOSYMMETRIC PROFILE

Vestnik of Samara University Natural Science Series ◽

10.18287/2541-7525-2020-26-2-63-69 ◽

2021 ◽

Vol 26 (2) ◽

pp. 63-69

Author(s):

E. N. Elekina ◽

E. A. Vronskaja

Keyword(s):

Dynamic Problem ◽

Equations Of Motion ◽

Elastic Rod ◽

Spectral Expansions ◽

Integral Transformations ◽

Axis Of Symmetry ◽

Thin Walled ◽

The Mathematical Model ◽

Stationary Problems ◽

Constrained Torsion

The paper presents an analytical solution to the dynamic problem for a thin-walled elastic rod, thecross-section of which has one axis of symmetry. The solution is constructed for an arbitrary dynamic load and two types of boundary conditions: hinged support in constrained torsion and free warping of the end sections of the rod; rigid fastening with constrained torsion and absence of warping. The peculiarity of the mathematical model lies in the fact that the differential equations of motion contain a complete system ofinertial terms. Spectral expansions obtained as a result of using the method of integral transformations are represented as an effective method for solving linear non-stationary problems in mechanics. The structuralalgorithm of the method of finite multicomponent integral transformations proposed by Yu.E. Senitsky is used.

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Experimental and Numerical Study of RC Thin-Walled Channel Beam under Torsion

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.405-408.1196 ◽

2013 ◽

Vol 405-408 ◽

pp. 1196-1199

Author(s):

Song Hu ◽

Ying Hua Ye ◽

Sheng Gang Chen ◽

Guan Zhong Song

Keyword(s):

Mechanical Properties ◽

Finite Element ◽

Numerical Study ◽

Fe Model ◽

Finite Element Software ◽

Concrete Members ◽

Walled Channel ◽

Thin Walled ◽

Channel Beam ◽

Constrained Torsion

The reinforced concrete thin-walled channel beams are widely designed as bridges in urban railway and city roads. The swing force in the driving which cause constrained torsion becomes a safety factor. The torsion resistance of concrete members is not adequate to thin-walled channel beams, which is based on the theory of spatial truss with variable angle. An experiment was conducted to test the mechanical properties of the thin-walled channel beam under torsion. The mechanical properties of RC thin-walled channel beam under restrained torsion were also researched with Finite Element software, and were compared to the result of the experiment. The result of FE model agreed well with the experiment.

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

Theoretical and Applied Mechanics ◽

10.2298/tam0704323a ◽

2007 ◽

Vol 34 (4) ◽

pp. 323-340 ◽

Cited By ~ 3

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.

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