How to cite this paper
Lee, J & Lee, B. (2020). Buckling lengths of heavy column with various end conditions.Engineering Solid Mechanics, 8(2), 163-168.
Refrences
Atanackovic, T. M., & Glavardanov, V. B. (2004). Optimal shape of a heavy compressed column. Structural and Multidisciplinary Optimization, 28(6), 388-396.
Burden, R.L., Faires, D.J. & Burden, A.M. (2016). Numerical Analysis. Cengage Learning, MA, USA.
Chai, Y. H., & Wang, C. M. (2006). An application of differential transformation to stability analysis of heavy columns. International Journal of Structural Stability and Dynamics, 6(03), 317-332.
Duan, W. H., & Wang, C. M. (2008). Exact solution for buckling of columns including self-weight. Journal of Engineering Mechanics, 134(1), 116-119.
Gere, J.M. (2004). Mechanics of Materials. Brooks/Cole-Thomson Learning, CA, USA.
Greenhill, A.G. (1881). Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and the greatest height to which a tree of given proportions can grow. Mathematical Proceedings of the Cambridge Philosophical Society, 65–73.
Grishcoff, N. (1930). Theory of elastic stability. Bull. Aca. Sci. Kiev., 101.
Keller, J.B., & Niordson, F.I. (1966). The tallest column. Journal of Mathematical Mechanics, 165, 433–446.
Lee, J.K., & Lee, B.K. (2019). Free vibration and buckling of tapered columns made of axially functionally graded materials. Applied Mathematical Modeling, 75, 73–87.
Lee, J., & Lee, B. (2018). Elastica and buckling loads of nonlinear elastic tapered cantilever columns. Engineering Solid Mechanics, 6(1), 39-50.
Lee, J. K., Park, S. H., & Kim, Y. (2019). Transverse free vibration of axially loaded tapered friction piles in heterogeneous soil. Soil Dynamics and Earthquake Engineering, 117, 116-121.
Sadiku, S. (2008). Buckling load optimization for heavy elastic columns: a perturbation approach. Structural and Multidisciplinary Optimization, 35(5), 447-452.
Wang, C. M., & Ang, K. K. (1988). Buckling capacities of braced heavy columns under an axial load. Computers & Structures, 28(5), 563-571.
Wang, C. Y., & Drachman, B. (1981). Stability of a heavy column with an end load. Journal of Applied Mechanics, 48(3), 668-669.
Burden, R.L., Faires, D.J. & Burden, A.M. (2016). Numerical Analysis. Cengage Learning, MA, USA.
Chai, Y. H., & Wang, C. M. (2006). An application of differential transformation to stability analysis of heavy columns. International Journal of Structural Stability and Dynamics, 6(03), 317-332.
Duan, W. H., & Wang, C. M. (2008). Exact solution for buckling of columns including self-weight. Journal of Engineering Mechanics, 134(1), 116-119.
Gere, J.M. (2004). Mechanics of Materials. Brooks/Cole-Thomson Learning, CA, USA.
Greenhill, A.G. (1881). Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and the greatest height to which a tree of given proportions can grow. Mathematical Proceedings of the Cambridge Philosophical Society, 65–73.
Grishcoff, N. (1930). Theory of elastic stability. Bull. Aca. Sci. Kiev., 101.
Keller, J.B., & Niordson, F.I. (1966). The tallest column. Journal of Mathematical Mechanics, 165, 433–446.
Lee, J.K., & Lee, B.K. (2019). Free vibration and buckling of tapered columns made of axially functionally graded materials. Applied Mathematical Modeling, 75, 73–87.
Lee, J., & Lee, B. (2018). Elastica and buckling loads of nonlinear elastic tapered cantilever columns. Engineering Solid Mechanics, 6(1), 39-50.
Lee, J. K., Park, S. H., & Kim, Y. (2019). Transverse free vibration of axially loaded tapered friction piles in heterogeneous soil. Soil Dynamics and Earthquake Engineering, 117, 116-121.
Sadiku, S. (2008). Buckling load optimization for heavy elastic columns: a perturbation approach. Structural and Multidisciplinary Optimization, 35(5), 447-452.
Wang, C. M., & Ang, K. K. (1988). Buckling capacities of braced heavy columns under an axial load. Computers & Structures, 28(5), 563-571.
Wang, C. Y., & Drachman, B. (1981). Stability of a heavy column with an end load. Journal of Applied Mechanics, 48(3), 668-669.