Computer-Aided Assessment of Progressive Collapse of
Reinforced Concrete Structures according to GSA Code
Huda Helmy
1
; Hamed Salem
2
; and Sherif Mourad
3
Abstract: A building is subjected to progressive collapse when a primary vertical structural element fails, resulting in the failure of adjoining
structural elements, which cause further structural failure, leading eventually to partial or total collapse of the structure. The failure of a primary
vertical support might occur because of extreme loadings such as a bomb explosion in a terrorist attack, a car colliding with supports in a parking
garage, an accidental explosion of explosive materials, or a severe earthquake. Different design codes address the progressive collapse of struc-
tures attributable to the sudden loss of a main vertical support such as the General Services Administration (GSA) code and the Unified Facilities
Criteria (UFC). The alternative path method (APM) is the main analysis method for evaluating the hazard of progressive collapse in the two
codes. The APM requires that the structure be capable of bridging over a missing structural element, with the resulting extent of damage being
localized. In the current study, a progressive collapse assessment according to the GSA code is carried out for a typical ten-story RC-framed
structure. The structure is designed according to the building code requirements for structural concrete. Fully nonlinear dynamic analysis for the
structure is carried out using the applied-element method (AEM). According to the GSA code, a primary vertical structural element is removed,
and the collapse area is investigated. The investigated cases include the removal of a corner column, an edge column, an edge shear wall, internal
columns, an internal shear wall, and a corner shear wall. The numerical analysis showed that, for an economic design, the analysis should con-
sider slabs and cannot be simplified into a two- or three-dimensional frame analysis. Neglecting the slabs in the progressive collapse analysis is
a very conservative approach that may lead to uneconomic design. The RC structures designed according to American Concrete Institute guide-
lines met the GSA limits and were found to have a low potential for progressive collapse. DOI: 10.1061/(ASCE)CF.1943-5509.0000350.
© 2013 American Society of Civil Engineers.
CE Database subject headings: Structural failures; Progressive collapse; Concrete structures; Computer applications; Assessment.
Author keywords: Progressive collapse; GSA; ELS; AEM; Slabs; Membrane action; Collapsed area; Rotation limits.
Introduction
Several structural progressive collapses have taken place in the last
few decades. For example, in 1968 the collapse of the Ronan
building in East London took place because of a gas explosion on the
18th floor. In 1995, the Murrah Federal Office Building in Okla-
homa City collapsed because of a terrorist bomb explosion at the
ground floor. In 2001, the famous World Trade Center, New York,
collapsed because of planes impacting the upper levels of the tower
(Shankar 2004). The status of RC structures regarding their vul-
nerability to progressive collapse has become an important question.
In the current study, a progressive collapse assessment of a typical
ten-story RC structure was carried out according to the GSA code.
The structure was designed according to ACI 318-08 [American
Concrete Institute (ACI) 2008]. Fully nonlinear dynamic analysis for
the structure after removal of a primary vertical element is carried out
using the applied-element method (AEM) (Meguro and Tagel-Din
2000, 2001; Tagel-Din and Meguro 2000a, b). The AEM is based on
the discrete crack approach and is capable of following the struc-
ture’s behavior to its total collapse.
Objective
The objective of this study is to evaluate the resistance of RC
structures, designed according to ACI 318-08, to progressive col-
lapse initiated by the loss of a primary vertical support.
General Services Administration Code
The General Services Administration (GSA) (2003) is an inde-
pendent agency of the U.S. government, established in 1949 to help
manage and support the basic functioning of federal agencies. The
GSA limits were set to reduce the potential for progressive collapse
in new federal office buildings, assess the potential for progressive
collapse in existing federal office buildings, and develop potential
upgrades to facilities if required. The loading combination according
to the GSA code depends on the analysis type. For a static analysis,
the load combination is 2 3 ðDL 1 0:25LLÞ, where DL is the dead
load and LL is the live load. For a dynamic analysis, the load
combination is DL 1 0:25LL. The analysis specified by the GSA
assumes a sudden removal of a primary support like columns or
walls. For a framed or flat plate structure, the removed column has
different locations depending on the structural system as shown in
Fig. 1. For a shear or load-bearing wall structure, the removed wall
has different locations depending on the structure system as shown in
1
Senior Structural Engineer, Egypt Branch, Applied Science Interna-
tional, 103 Almen St., Agoza, Giza, Egypt (corresponding author). E-mail:
eng_hudahelmy@hotmail.com
2
Associate Professor, Dept. of Structural Engineering, Cairo Univ., Giza,
Egypt.
3
Professor, Dept. of Structural Engineering, Cairo Univ., Giza, Egypt.
Note. This manuscript was submitted on September 3, 2011; approved
on April 3, 2012; published online on April 10, 2012. Discussion period
open until March 1, 2014; separate discussions must be submitted for
individual papers. This paper is part of the Journal of Performance of
Constructed Facilities, Vol. 27, No. 5, October 1, 2013. ©ASCE, ISSN
0887-3828/2013/5-529–539/$25.00.
JOURNAL OF PERFORMANCE OF CONSTRUCTED FACILITIES © ASCE / SEPTEMBER/OCTOBER 2013 / 529