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Feb 1, 2008

Progressive Collapse of the World Trade Center: Simple Analysis

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Publication: Journal of Engineering Mechanics
Volume 134, Issue 2

Abstract

The collapse behavior of the World Trade Center towers is considered formally as a propagating instability phenomenon. The application of associated concepts enables the residual capacities of both towers after the onset of collapse to be formally estimated. This information is combined into a simplified variable-mass collapse model of the overall dynamical behavior. The resulting, nonlinear governing equation of motion can be solved in closed form, to yield compact information about the overall collapse conditions.

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Acknowledgments

The writer is extremely grateful to two anonymous referees for insightful and supporting comments.

References

Bažant, Z. P., and Zhou, Y. (2002). “Why did the World Trade Center collapse?—Simple analysis.” J. Eng. Mech., 128(1), 2–6.
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Greenwood, D. T. (1997). Classical dynamics, Dover, New York.
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Meriam, J. L., and Kraige, L. G. (2003). Engineering mechanics: Dynamics, 5th Ed., Vol. 2, Wiley, New York.
Newland, D. E., and Cebon, D. (2002). “Could the World Trade Center have been modified to prevent its collapse?.” J. Eng. Mech., 128(7), 795–800.
Omika, Y., Fukuzawa, E., Koshika, N., Morikawa, H., and Fukuda, R. (2005). “Structural responses of World Trade Center under aircraft attacks.” J. Struct. Eng., 131(1), 6–15.
Pesce, C. P. (2003). “The application of Lagrange equations to mechanical systems with mass explicitly dependent on position.” J. Appl. Mech., 70, 751–756.
Seffen, K. A., and Pellegrino, S. (1999). “Deployment dynamics of tape springs.” Proc. R. Soc. London, Ser. A, 455, 1003–1048.
Zhou, Q., and Yu, T. X. (2004). “Use of high-efficiency energy absorbing device to arrest progressive collapse of a tall building.” J. Eng. Mech., 130(10), 1177–1187.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 2February 2008
Pages: 125 - 132

History

Received: Nov 6, 2006
Accepted: Jul 13, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008

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Notes

Note. Associate Editor: George Z. Voyiadjis

Authors

Affiliations

K. A. Seffen [email protected]
Senior Lecturer, Structures Group, Dept. of Engineering, Univ. of Cambridge, Trumpington St., Cambridge, CB2 1PZ, U.K. E-mail: [email protected]

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