Structural Engineering and Mechanics

  • 제4권4호
  • /
  • Pages.365-381
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  • 1996
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Braced, partially braced and unbraced columns: Complete set of classical stability equations

  • Aristizabal-Ochoa, J. Dario (School of Mines, National University)
  • 발행 : 1996.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

Stability equations that evaluate the elastic critical axial load of columns in any type of construction with sidesway uninhibited, partially inhibited, and totally inhibited are derived in a classical manner. These equations can be applied to the stability of frames (unbraced, partially braced, and totally braced) with rigid, semirigid, and simple connections. The complete column classification and the corresponding three stability equations overcome the limitations and paradoxes of the well known alignment charts for braced and unbraced columns and frames. Simple criteria are presented that define the concept of partially braced columns and frames, as well as the minimum lateral bracing required by columns and frames to achieve non-sway buckling mode. Various examples are presented in detail that demonstrate the effectiveness and accuracy of the complete set of stability equations.

키워드

참고문헌

  1. ACI Committee 318 (1992), "Building code requirements for reinforced concrete and commentary", ACI 318-89/318R-89, Revised (1992) 347 American Concrete Institute, Detroit.
  2. Aristizabal-Ochoa, J. Dario (1994a), "K-factor for columns in any type of construction: nonparadoxical approach", J. Struct. Engrg., ASCE, 120(4), April, 1272-1290. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1272)
  3. Aristizabal-Ochoa, J. Dario (1994), "Slenderness K-factor for leaning columns", J. Struct. Engrg., ASCE, 120(10), Oct., 2977-2991. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:10(2977)
  4. Aristizabal-Ochoa, J. Dario (1994), "Stability of columns under uniform load with semirgid connections", J. Struct. Engrg., ASCE, 120(11), Nov., 3212-3222. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3212)
  5. Aristizabal-Ochoa, J. Dario (1995), "Story stability and minimum bracing in RC framed structures: a general approach, ACI Structural Journal, 92(6), Nov.-Dec., 335-344.
  6. Chen, W. F. and Kishi, N. (1989), "Semirigid steel beam-column connections: data base and modeling", J. Struct. Engrg., ASCE, 115(1), Jan.,105-119. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:1(105)
  7. Chen, W. F. and Lui, E. M. (1991), "Stability design of steel frames", CRS Press, Boca Raton, Florida, 373.
  8. Cheong-Siat-Moy, F. (1991), "Column design in gravity-loaded frames", ASCE, Journal of Structural Engineecring, 117(5), May, 1448-1461. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:5(1448)
  9. Cheong-Siat-Moy, F. (1986), "K-factor paradox", ASCE, Journal of Structural Engineering, 112(8), Aug., 1747-1760. Discussion (1988), , ASCE, Journal of Structural Engineering, 114(9), pp.2139-2150. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:8(1747)
  10. Cunningham, R. (1990), "Some aspects of semi-rigid connections in structural steel-work", Structural Engineering, 68(5), 85-92.
  11. Gerstle, K. H. (1988). "Effects of connections of frames", Steel Beam-to Column Building Connections 241-267, W. F. Chen. ed., Elsevier Science Publisher Ltd., New York, N.Y.
  12. Kavanagh, T.C. (1962), "Effective length of framed columns", ASCE Transatctions, paper, 127, 3366, Part II, 81-101.
  13. Manual of Steel Construction-(1990), Allowable Stress Design, Nine Edition. AISC, (part 3).
  14. Manual of Steel Construction-(1986), Load & Resistance Factor Design, First Edition, AISC, (part 2).
  15. Manual of Steel Construction-(1993), Load & Resistance Factor Design, 2nd Edition. AISC.
  16. Salmon, C.G., and Johnson, J. E. (1980), Steel Structures: Design and Behavior, 2nd Edition, Harper and Row, Chapter 14.
  17. Salmon, C. G., and Johnson, J. E. (1990), Steel Structures: Design and Behavior 3rd. Edition, Harper and Row, Chapter 14.
  18. Xu, l., and Grierson, D. E. (1993), "Computer-automated design of semirigid steel frameworks." Journal of Structural Engineering, 119(6), 1740-1760. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1740)

피인용 문헌

  1. Stability and Second-Order Analyses of Frames with Semirigid Connections under Distributed Axial Loads vol.127, pp.11, 2001, https://doi.org/10.1061/(ASCE)0733-9445(2001)127:11(1306)
  2. Column Stability and Minimum Lateral Bracing: Effects of Shear Deformations vol.130, pp.10, 2004, https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1223)
  3. Elastic Stability of Beam-Columns with Flexural Connections under Various Conservative End Axial Forces vol.123, pp.9, 1997, https://doi.org/10.1061/(ASCE)0733-9445(1997)123:9(1194)
  4. Static Stability of Beam-Columns under Combined Conservative and Nonconservative End Forces: Effects of Semirigid Connections vol.131, pp.5, 2005, https://doi.org/10.1061/(ASCE)0733-9399(2005)131:5(473)
  5. Minimum stiffness of bracing for multi-column framed structures vol.6, pp.3, 1998, https://doi.org/10.12989/sem.1998.6.3.305
  6. Stability of columns with semi-rigid connections including shear effects using Engesser, Haringx and Euler approaches vol.33, pp.3, 2011, https://doi.org/10.1016/j.engstruct.2010.12.008
  7. Classic Buckling of Three-Dimensional Multicolumn Systems under Gravity Loads vol.128, pp.6, 2002, https://doi.org/10.1061/(ASCE)0733-9399(2002)128:6(613)
  8. Nonlinear Large Deflection-Small Strain Elastic Analysis of Beam-Column with Semirigid Connections vol.127, pp.1, 2001, https://doi.org/10.1061/(ASCE)0733-9445(2001)127:1(92)
  9. Reinforced, Partially, and Fully Prestressed Slender Concrete Columns under Biaxial Bending and Axial Load vol.127, pp.7, 2001, https://doi.org/10.1061/(ASCE)0733-9445(2001)127:7(774)
  10. Elastic buckling of columns with end restraint effects vol.87, 2013, https://doi.org/10.1016/j.jcsr.2013.03.022
  11. Stability and second-order non-linear analysis of 2D multi-column systems with semirigid connections: Effects of initial imperfections vol.47, pp.5, 2012, https://doi.org/10.1016/j.ijnonlinmec.2011.10.003
  12. Discussion of “Design of Composite Sway Building Frames for Global Instability” by J. F. Demonceau, J. P. Jaspart, and R. Maquoi vol.133, pp.1, 2007, https://doi.org/10.1061/(ASCE)0733-9399(2007)133:1(126)
  13. Stability of multi-column systems with initial imperfections and non-linear connections vol.57, 2013, https://doi.org/10.1016/j.ijnonlinmec.2013.06.012
  14. Story Stability of Braced, Partially Braced, and Unbraced Frames: Classical Approach vol.123, pp.6, 1997, https://doi.org/10.1061/(ASCE)0733-9445(1997)123:6(799)
  15. Discussion of “Mechanics and Slenderness Limits of Sway-Restricted Reinforced Concrete Columns” by Jostein Hellesland vol.135, pp.11, 2009, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000090
  16. Stability and minimum bracing for stepped columns with semirigid connections: Classical elastic approach vol.5, pp.4, 1997, https://doi.org/10.12989/sem.1997.5.4.415
  17. The effective length factor of columns in unsymmetrical frames asymmetrically loaded vol.19, pp.4, 1996, https://doi.org/10.1007/s42107-018-0038-z