Evaluation of Mathematical Solutions for the Determination of Buckling of Columns Under Self-weight

Wahrhaftig, Alexandre de Macêdo; Magalhães, Kaique Moreira Matos; Brasil, Reyolando Manoel Lopes Rebello da Fonseca; Murawski, K.

doi:10.1007/s42417-020-00258-7

Cited by 18 publications

(6 citation statements)

References 39 publications

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“…Wahrhaftig et al (2020a) evaluated a limit state of stress and strain of free-fixed columns with variable geometry according to criteria from the Brazilian code for concrete structures. Wahrhaftig et al (2020b) did an evaluation of mathematical solutions for the determination of buckling of columns under self-weight. Wahrhaftig (2020) did a time-dependent analysis of slender, tapered reinforced concrete columns.…”

Section: Review Of the Literaturementioning

confidence: 99%

Experimental Comparison of the Known Hypotheses of the Lateral Buckling for Semi-Slender Pinned Columns

Murawski¹

2021

International Journal of Structural Glass and Advanced Material

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The paper presents the comparison of experimental results obtained from tests on semi-slender columns with pinned ends made of steel R35 to simplifications and hypotheses of loss of stability by lateral buckling in elastic-plastic states of columns axially compressed by force. The Tetmajer-Jasiński's and Johnson-Ostenfeld's simplifications, as well as the hypotheses given by Engesser and Kármán and Shanley, Ylinen, Březina, Pearson and Bleich and Vol'mir and the author's one approximated, are analyzed. The graphs of surface functions of critical compressive stress cr(A, L*t) depending on a cross-section area and length times thickness product are presented as the theoretical examples of thin-walled cylindrical and square columns made of steel R35. In order to compare the experimental results with other simplifications and hypotheses are shown in the adequate ranges for elastic-plastic states as the graphs of the functions of critical compressive stress depending on slenderness ratio cr().

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Section: Review Of the Literaturementioning

confidence: 99%

Experimental Comparison of the Known Hypotheses of the Lateral Buckling for Semi-Slender Pinned Columns

Murawski¹

2021

International Journal of Structural Glass and Advanced Material

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“…Wahrhaftig et al (2020a) evaluated a limit state of stress and strain of free-fixed columns with variable geometry. Wahrhaftig et al (2020b) did an evaluation of mathematical solutions for the determination of buckling of columns under self-weight. Wahrhaftig (2020c) did a time-dependent analysis of slender, tapered reinforced concrete columns.…”

Section: Literature Reviewmentioning

confidence: 99%

Stability, Stress and Strain Analysis of Very Slender Pinned Thin-Walled Box Columns according to FEM, Euler and TSTh

Murawski¹,

Wahrhaftig²

2021

American Journal of Engineering and Applied Sciences

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In this study, a Finite Element Method (FEM) analysis is presented for the loss of stability in elastic states of very slender pinned without friction box-section thin-walled column axially compressed. From the FEM buckling linear stress analyses are determined the compressing critical forces for 36 cases, presented in tables and as the surface functions in dependence on the slenderness ratio and cross-section. Also are presented graphs obtained from the FEM post-buckling linear stress analysis for the elastic central line, slope, deflection and states of the stresses and strains of the box-section column 202812500 mm made of steel, by the assumption that a maximal deflection equals the half of a side dimension. The obtained from the FEM computing function and surface graphs are compared and then discussed with graphs corresponding to Euler's and Technical Stability Theory (TSTh) results. Finally are compared graphs of the stresses and strains of box-section thin-walled column 202812500 obtained from FEM and TSTh, but under compressing critical force determined according to TSTh.

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“…Applying the principle of virtual works and their derivatives 11 , the generalized stiffness and mass of the system can be obtained, among which the geometric stiffness portion [12][13][14][15] . This portion is presented as a function of the axial force, including the contribution of the own weight, and where the internal forces induced by a temperature variation are introduced 16 .…”

Section: Mathematical Proposal For Consideration the Thermal Variationmentioning

confidence: 99%

Bifurcation Analysis of Columns of Composite Materials with Thermal Variation

Wahrhaftig

Magalhães

2021

Mat. Res.

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Evaluation of Mathematical Solutions for the Determination of Buckling of Columns Under Self-weight

Cited by 18 publications

References 39 publications

Experimental Comparison of the Known Hypotheses of the Lateral Buckling for Semi-Slender Pinned Columns

Experimental Comparison of the Known Hypotheses of the Lateral Buckling for Semi-Slender Pinned Columns

Stability, Stress and Strain Analysis of Very Slender Pinned Thin-Walled Box Columns according to FEM, Euler and TSTh

Bifurcation Analysis of Columns of Composite Materials with Thermal Variation

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