Static Stability Formulas of a Weakened Timoshenko Column: Effects of Shear Deformations

Zapata-Medina, David G.; Arboleda-Monsalve, Luis G.; Aristizábal-Ochoa, J. Darío

doi:10.1061/(asce)em.1943-7889.0000193

Cited by 16 publications

(6 citation statements)

References 17 publications

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“…e same condition occurs in deformable body mechanics. e only di erence is that the type of equilibrium depends on the value of the acting load [8,27]. Figure 2 depicts a long thin (slender) cantilevered rod with axial force loading.…”

Section: General Aspects Of Understanding Stabilitymentioning

confidence: 99%

“…erefore, steel columns have been widely used to dissipate seismic energy in seismic regions. ese considerations are especially relevant in calculating the stability of high-rise buildings taking into account the complicated technological load on them [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…For this reason, they have been the subject of strong research interest in recent years. In practice, earthquakes generate multidirectional ground motions, with the occurrence of yielding and buckling e ects [4,6,8]. Previous research studies [3,18] indicate how the development of local buckling restricts the ability of the members to deform plastically; also how cross-section geometry in uences strength, ductility, and the energy absorption process.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Buckling Analysis and Stability of Compressed Low‐Carbon Steel Rods in the Elastoplastic Region of Materials

Partskhaladze

Mshvenieradze

Medzmariashvili

et al. 2019

Advances in Civil Engineering

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is paper presents new approaches for solving a problem of the stability of compressed rods in the elastoplastic working region of materials. It is known that the columns of buildings, supports of engineering devices, drill rods of oil, and gas extraction industry may be subjected to significant risk of stability loss. Nowadays, there are design methods based on test results defining the relations (e.g., critical stresses-slenderness) to avoid this risk due to stability loss, but the precision and limits of definition are not always known. e main objectives of the study were to develop new approaches that would allow specifying the values of critical stresses of compressed elements beyond the proportional limit. e problem of stability of the compressed elements in the elastoplastic region was studied according to the stability theory. e authors suggested an original approach to the issue; in particular, the determination of values of the critical stresses and the finding of the points of the bifurcation were carried out by the tangent established by experimental results and by the approximation of the so-called double modulus. Comparative analysis showed the advantage of the proposed approach, particularly that the new critical curves were located below the curves of Engesser-Karman and Shanley and above the critical curves established by building codes. A new approach for the determination of critical stresses in the elastoplastic region was developed through which the structural reliability and economic efficiency was increased by almost 12% compared to the existing approaches.

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Section: General Aspects Of Understanding Stabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Buckling Analysis and Stability of Compressed Low‐Carbon Steel Rods in the Elastoplastic Region of Materials

Partskhaladze

Mshvenieradze

Medzmariashvili

et al. 2019

Advances in Civil Engineering

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

“…In the literature, issues on stability under tensile axial loads has been considered by Kelly (2003), who showed that tensile buckling (divergence type instability) can be encountered in highly shear deformable beams (especially base isolation devices like multilayer elastomeric bearings) and by Zapata-Medina et al (2010) who discussed Timoshenko columns with a weakened cross-section. Furthermore, tensile buckling has been also shown by Zaccaria et al (2011) to occur even in Euler-Bernoulli beams in presence of a single structural junction allowing transversal deflection discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Advances in dynamic instability: can a beam-column undergo tensile flutter?

Caddemi

Caliò

Cannizzaro

2015

Journal of Vibration and Control

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Tensile instability in beam-like structures has been highlighted in very few papers; the studies reported in the specific literature are limited to beam-columns characterised either by high shear deformation or by the presence of a single structural junction allowing a transversal displacement discontinuity. Moreover, to the authors' knowledge, the flutter instability associated to tensile axial load has not yet been disclosed. This work aims to offer further contribution to the knowledge of tensile instability of beam-columns by considering the dynamic instability of an Euler Bernoulli beam in presence of an arbitrary number of internal sliders endowed with translational elastic springs. The use of the generalised functions allows an exact evaluation of the eigensolution, provided in closed form, both for conservative and nonconservative axial load. In particular, the following relevant question is posed: Can a beam-column undergo tensile flutter instability? A comprehensive parametric analysis conducted in this work gives an affirmative answer to the asked question.

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The effect of longitudinal cracks on buckling loads of columns

Schnabl

Planinc

2018

Arch Appl Mech

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Static Stability Formulas of a Weakened Timoshenko Column: Effects of Shear Deformations

Cited by 16 publications

References 17 publications

Buckling Analysis and Stability of Compressed Low‐Carbon Steel Rods in the Elastoplastic Region of Materials

Buckling Analysis and Stability of Compressed Low‐Carbon Steel Rods in the Elastoplastic Region of Materials

Advances in dynamic instability: can a beam-column undergo tensile flutter?

The effect of longitudinal cracks on buckling loads of columns

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