Upper and lower bound solutions for lateral-torsional buckling of doubly symmetric members

Sahraei, Arash; Mohareb, Magdi

doi:10.1016/j.tws.2016.01.015

Cited by 12 publications

(14 citation statements)

References 45 publications

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“…For the first time in the literature, a parametric equation of depending on the measured data (Equation (22)) is obtained. The parametric equation of is calculated by Equation (22), can be used to obtain the shear parameter as presented in Equation (23). This equation shows that can only be determined when the value of the corresponding flexural stiffness is known.…”

Section: Shear Formulationmentioning

confidence: 99%

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Structural system identification of thin web bridges by observability techniques considering shear deformation

Tomàs¹,

Galant

Ramos

et al. 2018

Thin-Walled Structures

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Despite its importance in some structures, shear deformation is systematically neglected by most static structural system identification methods. This paper analyzes for the first time in the literature the effect of this deformation in the static inverse analysis of thin web bridges. This study is focused on the observability techniques. The most recent formulation found in the literature is based onthe Euler-Bernoulli beam theory. This formulation is unable to identify correctly the characteristics of a structure (such as flexural stiffness) when shear deformation is not negligible. To solve this problem, the observability method is updated according to Timoshenko's beam theory. This formulation uses an algebraic method which combines a symbolical and a numerical application. Thus, the updated observability formulation is able to obtain not only the flexural stiffness but also the shear one. Besides this, a parametric equation of the estimates is obtained for the first time in the literature. Some examples of growing complexity are used to illustrate the validity of the the proposed formulation formulation.Peer ReviewedPostprint (author's final draft

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Section: Shear Formulationmentioning

confidence: 99%

“…According to Sahraei and Mohareb [23], shear deformation is traditionally neglected in thin-walled structures. Nevertheless, a number of studies discourage this assumption.…”

Section: Introductionmentioning

confidence: 99%

Structural system identification of thin web bridges by observability techniques considering shear deformation

Tomàs¹,

Galant

Ramos

et al. 2018

Thin-Walled Structures

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show abstract

“…Wu and Mohareb [36], Erkmen [37], and Sahraei and Mohareb [38]. Pre-buckling deformation effects were investigated in the work Roberts and Azizian [39], Pi and Trahair [40], Andrade and Camotim [41], Machado and Cortínez [42], Erkmen and Attard [43], and Mohri et al [44].…”

Section: Literature Reviewmentioning

confidence: 99%

Simplified expressions for elastic lateral torsional buckling of wooden beams

Sahraei

Pezeshky

Mohareb

et al. 2018

Engineering Structures

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A beam finite element formulation is developed for the elastic lateral torsional buckling analysis of wood beams with rectangular cross-sections. The formulation accounts for moment gradient, load height, and pre-buckling deformation effects. The validity of the finite element and underlying variational principle is established through comparisons with critical moments obtained by 3D FEA simulations and experimental results. The validated variational expression is then adopted to develop approximate analytical expressions that separately characterize the effects of moment gradient, partial twist restraints that may exist at beam-ends, load height, and pre-buckling deformation effects.Dimensionless coefficients were formulated to characterize each effect for simple beams and cantilevers under common loading scenarios. The derived coefficients are then consolidated into a unified framework that accounts for all effects combined to predict the elastic lateral torsional buckling capacity of wooden beams.

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“…While the above studies were primarily aimed at investigating the effect of load height, the topic has been investigated as part of the numerical developments o+6f Ings and Trahair (1987), Pi et al (1992), Andrade and Camotim (2005), Mohri and Potier-Ferry (2006), Andrade et al (2007), Erkmen and Mohareb (2008), Mohareb (2010), Trahair (2013), Lamb and Eamon (2015), Sahraei et al (2015), and Sahraei and Mohareb (2016).…”

Section: Effect Of Load Heightmentioning

confidence: 99%

Effect of Eccentric Lateral Bracing Stiffness on Lateral Torsional Buckling Resistance of Wooden Beams

Mohareb

Doudak

2018

Int. J. Str. Stab. Dyn.

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An energy-based solution is developed for the lateral torsional buckling (LTB) analysis of wooden beams with flexible mid-span lateral bracing offset from section mid-height and subjected to uniformly distributed or mid-span point load. The study shows that such beams are prone to two potential buckling modes; symmetric or anti-symmetric. The symmetric mode is shown to govern the capacity of the beam for low bracing stiffness while the anti-symmetric mode governs the capacity when the bracing stiffness exceeds a threshold value. Using the present formulation, the threshold bracing stiffness required to suppress the symmetric mode and maximize the critical moments is directly obtained by solving a special eigenvalue problem in the unknown bracing stiffness. The technique thus eliminates the need for trial and error in standard solutions. A parametric study is conducted to investigate the effect of bracing height, load height, and bracing stiffness on the critical moments. A large database of runs is generated and used to develop simple expressions for determining the threshold bracing stiffness required to maximize the elastic LTB resistance.

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Upper and lower bound solutions for lateral-torsional buckling of doubly symmetric members

Cited by 12 publications

References 45 publications

Structural system identification of thin web bridges by observability techniques considering shear deformation

Structural system identification of thin web bridges by observability techniques considering shear deformation

Simplified expressions for elastic lateral torsional buckling of wooden beams

Effect of Eccentric Lateral Bracing Stiffness on Lateral Torsional Buckling Resistance of Wooden Beams

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