Research Articles | Challenge Journal of Structural Mechanics

A modified member stiffness procedure for dynamic progressive collapse analysis of planar frames

Griengsak Kaewkulchai, Sdhabhon Bhokha


DOI: https://doi.org/10.20528/cjsmec.2015.03.004
View Counter: Abstract | 1607 times | ‒ Full Article | 356 times |

Full Text:

PDF

Abstract


A computer program for progressive collapse analysis of planar frames is under development. The software has a capability to analyze structures after failures of members in which failure can occur at one or both ends of a member. When an end of a member fails, the failed end separates from the main structure and becomes discontinuous. In this paper, a modified member stiffness procedure with releases of end forces to track the response of a failed end is discussed. The procedure utilizes a condensation process of the element stiffness matrix of the failed member. An example in applying the modified member stiffness procedure is given to show that the assembly process for the stiffness matrix and the applied force vector of the main structure does not change. In addition, the Equation solver still determines the same number of unknown degrees of freedom. Accordingly, this approach provides a convenient, simple, yet efficient means of keeping track of all failed members for progressive collapse analysis of frame structures.


Keywords


progressive collapse; building collapse; dynamic analysis; condensation; frames

References


DoD (2001). DoD Interim Antiterrorism/Force Protection Construction Standards – Progressive Collapse Design Guidance. Department of Defense, Washington, DC.

Felton LP, Nelson RB (1997). Matrix Structural Analysis. Wiley & Sons, Inc., New York.

GSA (2000). Progressive Collapse Analysis and Design Guidelines for New Federal Office Buildings and Major Modernization Projects. General Services Administration, Washington, DC.

IBC (2000). International Building Code. International Code Council, USA.

Kaewkulchai G, Williamson EB (2002). Dynamic progressive collapse of frame structures. The 15th Engineering Mechanics Division Conference, ASCE, New York.

Kaewkulchai G, Williamson EB (2004). Beam element formulation and solution procedure for dynamic progressive collapse analysis. Computers and Structures, 82(7-8), 639-651.

http://dx.doi.org/10.1016/j.compstruc.2003.12.001

Pretlove AJ, Ramsden M, Atkins AG (1991). Dynamic effects in progressive failure of structures. International Journal of Impact Engineering, 11(4), 539-546.

http://dx.doi.org/10.1016/0734-743X(91)90019-C


Refbacks

  • There are currently no refbacks.