BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES

Shen Ruihong; Tong Genshu

doi:10.13204/j.gyjz201304002

Volume 43 Issue 4

Dec. 2014

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Shen Ruihong, Tong Genshu. BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(4): 8-12,18. doi: 10.13204/j.gyjz201304002

Citation:

Shen Ruihong, Tong Genshu. BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(4): 8-12,18. doi: 10.13204/j.gyjz201304002

Shen Ruihong, Tong Genshu. BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(4): 8-12,18. doi: 10.13204/j.gyjz201304002

Citation:

Shen Ruihong, Tong Genshu. BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(4): 8-12,18. doi: 10.13204/j.gyjz201304002

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BUCKLING OF TIMOSHENKO COLUMNS WITH LINEARLY VARIED RIGIDITIES AND AXIAL FORCES

doi: 10.13204/j.gyjz201304002

Shen Ruihong¹,
Tong Genshu²

1.
1. China United Engineering Corporation,Hangzhou 310022,China;
2.
2. Institute of High Performance Material and Structure,Zhejiang University,Hangzhou 310058,China?

Received Date: 2013-01-15
Publish Date: 2013-04-20

Abstract

Abstract

The paper investigated the buckling of cantilevered Timoshenko columns whose cross-sectional flexural and shear rigidities and axial forces were varied along length.Finite element method was used to carry out buckling analysis.Physical and geometrical stiffness matrices were derived for elements with linearly varied rigidities and axial forces.In presenting the results, buckling of Timoshenko columns was understood as interactive buckling between flexural and shear buckling.and the interactive curves were presented.Approximate formulas for critical loads of cantilevered Timoshenko columns with linearly varied rigidities and linearly varied axial forces along length were presented, which could be used in determining the coefficient of second-order effect.
- buckling,
- Timoshenko column,
- critical load,
- tapered column ?

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References(6)

References

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Timoshenko S P, Gere J M. Theory of Elastic Stability[M]. New York: McGraw-Hill,1961.

[3] Hegeds I, Kollar L P. Buckling of Sandwich Columns with Thin Faces Under Distributed Normal Loads[J]. Acta Tech. Acad. Sci Hung,1984,97(4):111-122.

[4] Zalka K A. Buckling of a Cantilever Subjected to Distributed Normal Loads, Taking the Shear Deformation into Account[J]. Acta Tech. Acad Sci Hung,1979,89(4):479-508.

[5] Bakker M C M. Shear-Flexural Buckling of Cantilever Columns Under Uniformly Distributed Load[J]. Journal of Engineering Mechanics, ASCE,2006,132(11):1160-1167.

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