Optimized Design of Steel Buildings Against Earthquake and Progressive Collapse Using Cables

Georgios S. Papavasileiou, Nikolaos G. Pnevmatikos

Abstract


Progressive collapse is a procedure in which local failure of a structural component can cause failure of the overall structure or a smaller part of it. This phenomenon is the subject of intensive investigation by researchers the last decade. This work presents a design of structures against earthquake and progressive collapse. Cables are used as means to achieve the desired structural performance when the buildings are subjected to (a) seismic excitations, (b) accidents which result in failure of structural members. The design strategy is based on the use of cables located in suitable locations in the structure. The element sizes and cable topology are attained by an automatic optimization procedure in an effort to achieve the most effective use of structural materials. The effect of various design constraints is evaluated in the performance of the optimized buildings. The analysis results indicate the promising potential of cables as a means to increase the building’s progressive collapse resistance, as well as a promising alternative to typical bracing sections used in practice.

Keywords


steel structures, earthquake, progressive collapse, steel cables, optimization

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References


C. Pearson and N. Dellatte. “Ronan point apartment tower collapse and its effects on building codes”, Journal of Performance of Constructed Facilities, vol.19, pp. 172-177, 2005.

EN 1992-1-1. “Eurocode 2: Design of reinforced concrete structures – Part 1-1: General rules and rules for buildings”, Brussels, Belgium: CEN. 2004.

Department of Defense (DoD). Unified Facilities Criteria (UFC) – Design of buildings to resist progressive collapse, UFC 4-023-03, USA, 2009.

G.S.A. ‘Progressive Collapse Design Guidelines Applied to Concrete Moment-Resisting Frame Buildings’, General Services Administration, Nashville, Tennessee. 2004.

CO.S.T. TU0601 – Canisius T.D.G. (Editor). Structural Robustness Design for Practicing Engineers 2011.

J.F. Beltran, J. Rungamornrat and E.B. Williamson. “Computational model for the analysis of damaged ropes”. In The Thirteenth International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers. 2003.

J. F. Beltran and E.B. Williamson. “Investigation of the damage-dependent response of mooring ropes”. In The Fourteenth International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers. 2004.

J. F. Beltran and E. B. Williamson. Investigation of the damage-dependent response of mooring ropes. “Journal of engineering mechanics”, vol 135 no. 11, pp. 1237-1247. 2009.

G. A. Costello and J. W. Phillips. Effective modulus of twisted wire cables. “Journal of the Engineering Mechanics Division”, vol. 102 no. 1, pp. 171-181. 1976.

G. A. Costello. Theory of wire rope. Springer Science and Business Media. 1997.

D, Elata, R. Eshkenazy and M. P. Weiss. The mechanical behavior of a wire rope with an independent wire rope core. “International Journal of Solids and Structures”, vol. 41 no. 5, pp. 1157-1172. 2004.

S. R. Ghoreishi, P. Cartraud, P. Davies and T. Messager. Analytical modeling of synthetic fiber ropes subjected to axial loads. Part I: A new continuum model for multilayered fibrous structures. “International Journal of Solids and Structures”, vol. 44 no. 9, pp. 2924-2942. 2007.

F. H. Hruska. Calculation of stresses in wire ropes. “Wire and wire products”, vol. 26, pp. 766-767. 1951.

F. H. Hruska. Radial forces in wire ropes. “Wire and wire products”, vol. 27 no. 5, pp. 459-463. 1952.

F. H. Hruska. Tangential forces in wire ropes. “Wire and wire products”, vol. 28 no. 5, pp. 455-460. 1953.

N. C. Huang. Finite extension of an elastic strand with a central core. “ASME J. Appl. Mech”, vol. 45 no. 4), pp. 852-858. 1978.

R. H. Knapp. Nonlinear analysis of a helically armored cable with nonuniform mechanical properties in tension and torsion. In OCEAN 75 Conference (pp. 155-164). IEEE. 1975.

R. H. Knapp. Derivation of a new stiffness matrix for helically armoured cables considering tension and torsion. “International Journal for Numerical Methods in Engineering”, vol. 14 no. 4, pp. 515-529. 1979.

K. Kumar J. Botsis Contact stresses in multilayered strands under tension and torsion. “Journal of Applied Mechanics“ vol. 68:pp.432–440. 2001.

K. Kumar and Jr. J. E. Cochran. Closed-form analysis for elastic deformations of multilayered strands. “Journal of Applied Mechanics”, vol. 54, pp. 899. 1987.

C. M. Leech , J.W. Hearle, M.S. Overington and S.J. Banfield. “Modelling tension and torque properties of fibre ropes and splices”. In The Third International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers. 1993.

S. Machida and A. J. Durelli. Response of a strand to axial and torsional displacements. “Journal of Mechanical Engineering Science”, vol. 15 no. 4, pp. 241-251. 1973.

A. Nawrocki and M. Labrosse. A finite element model for simple straight wire rope strands. “Computers and Structures”, vol. 77 no. 4, pp. 345-359. 2000.

JW. Philips and GA. Costello. Analysis of wire rope with internal-wirerope cores. ASME “Journal of Applied Mechanics”, vol. 52, pp. 510–6. 1985

J. Rungamornrat, J. F. Beltran and E. B. Williamson. Computational model for synthetic-fiber rope response. In 15th Eng. “Mechanics Conference, ASCE”, New York, USA. 2002.

S. Sathikh, M. B. K. Moorthy and M. Krishnan. A symmetric linear elastic model for helical wire strands under axisymmetric loads. “The Journal of Strain Analysis for Engineering Design”, vol. 31 no. 5, pp. 389-399. 1996.

W. S. Utting and N. Jones. The response of wire rope strands to axial tensile loads—Part II. Comparison of experimental results and theoretical predictions. “International journal of mechanical sciences”, vol. 29 no. 9, pp. 621-636. 1987.

W.S. Utting and N. Jones. The response of wire rope strands to axial tensile loads—Part I. Experimental results and theoretical predictions. “International journal of mechanical sciences”, vol. 29 no. 9, pp. 605-619. 1987.

S. A. Velinsky. General nonlinear theory for complex wire rope. “International journal of mechanical sciences”, vol. 27 no. 7, pp. 497-507. 1985.

S. Mazzoni, F. McKenna, M. Scott and G.L. Fenves. “Open System for Earthquake Engineering Simulation (OpenSees)”, PEER Center, California, USA. 2006.

EN 1993-1-1. “Eurocode 3: Design of steel structures – Part 1-1: General rules and rules for buildings”, Brussels, Belgium: CEN. 2005.

Federal Emergency Management Agency (FEMA). “Improvement of nonlinear static seismic analysis procedures, FEMA-440”, Washington DC, USA, 2005.

American Society of Civil Engineers (ASCE). “Seismic rehabilitation of existing buildings, Standard ASCE/SEI 41-06 (incl. suppl. 1)”, Reston, Virginia, USA. 2006.

I. Rechenberg, “Evolutionsstrategie: Optimierung technischer systeme nach prinzipien der biologischen evolution”. Stuttgart, Germany: Frommann-Holzboog Verlag. 1973.

H.P. Schwefel. “Evolutionsstrategie und numerische Optimierung”. Berlin : (Doctoral dissertation, Technische Universität Berlin). 1975.

G.S. Papavasileiou and D.C. Charmpis. “Seismic design optimization of multi-storey steel-concrete composite buildings”, Comput. Struct., vol. 170, pp. 49-61. 2016.

G.S. Papavasileiou and N.G. Pnevmatikos. “Retrofit of Steel Buildings against Progressive Collapse Using Cables”. In Proceedings of the 2nd International Conference on Recent Advances in Nonlinear Modelling – Design and Rehabilitation of Structures. 2017. (pp. 202 – 210).




DOI: http://dx.doi.org/10.52155/ijpsat.v6.1.223

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