Could the World Trade Center have been Modified to Prevent its Collapse?

The feasibility of protecting tall buildings against progressive downwards collapse following catastrophic structural failure at high level is explored and various design suggestions made.     

Progressive Collapse of the World Trade Center: Simple Analysis

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.     

What Did and Did Not Cause Collapse of World Trade Center Twin Towers in New York?

Previous analysis of progressive collapse showed that gravity alone suffices to explain the overall collapse of the World Trade Center Towers. However, it remains to be determined whether the recent allegations of controlled demolition have any scientific merit. The present analysis proves that they do not. The video record available for the first few seconds of collapse is shown to agree with the motion history calculated from the differential equation of progressive collapse but, despite uncertain values of some parameters, it is totally out of range of the free fall hypothesis, on which these allegations rest. It is shown that the observed size range (0.01–0.1?mm) of the dust particles of pulverized concrete is consistent with the theory of comminution caused by impact, and that less than 10% of the total gravitational energy, converted to kinetic energy, sufficed to produce this dust (whereas, more than 150?t of TNT per tower would have to be installed, into many small holes drilled into concrete, to produce the same pulverization). The air ejected from the building by gravitational collapse must have attained, near the ground, the speed of almost 500 miles per hour (or 223?m/s, or 803?km/h) on average, and fluctuations must have reached the speed of sound. This explains the loud booms and wide spreading of pulverized concrete and other fragments, and shows that the lower margin of the dust cloud could not have coincided with the crushing front. The resisting upward forces due to pulverization and to ejection of air, dust, and solid fragments, neglected in previous studies, are indeed found to be negligible during the first few seconds of collapse but not insignificant near the end of crush-down. The calculated crush-down duration is found to match a logical interpretation of seismic record, while the free fall duration grossly disagrees with this record.     

Addendum to “Why Did the World Trade Center Collapse?—Simple Analysis”

The addendum presents the responses to several questions on a preliminary version (which arrived too late for publication as part of the paper). The questions deal with the aircraft impact at a higher floor of the World Trade Center towers on September 11, 2001 damage to the upper part of the collapsing tower, weakness of connections, plastic cushioning of vertical impact, estimation of the equivalent mass, and the collapse of the adjacent lower building.     

Stability of the World Trade Center Twin Towers Structural Frame in Multiple Floor Fires

This technical note presents the results from a nonlinear finite element analysis of a very simple two dimensional model of the World Trade Center Twin-Towers structural frame subjected to fire. The analysis was carried out for a large range of fire scenarios and was reported in detail in a recently published paper. The paper further investigates the results of this analysis to obtain the details of the collapse mechanism found. An interesting series of events leading progressively to overall collapse are discovered and described in detail. The main reason for the failure is found to be the low membrane capacity in compression of the composite steel truss and concrete deck slab floor system.     

Why the Observed Motion History of World Trade Center Towers Is Smooth

The collapse of the World Trade Center towers was initiated by the impact of the upper falling part onto the underlying intact story. At the moment of impact, the velocity of the upper part must have decreased. The fact that no velocity decrease can be discerned in the videos of the early motion of the tower top has been recently exploited to claim that the collapse explanation generally accepted within the structural mechanics community was invalid. This claim is here shown to be groundless. Calculations show that the velocity drop is far too small to be perceptible in amateur video records and is much smaller than the inevitable error of such video records.     

Mechanics of Progressive Collapse: Learning from World Trade Center and Building Demolitions

Progressive collapse is a failure mode of great concern for tall buildings, and is also typical of building demolitions. The most infamous paradigm is the collapse of the World Trade Center towers. After reviewing the mechanics of their collapse, the motion during the crushing of one floor (or group of floors) and its energetics are analyzed, and a dynamic one-dimensional continuum model of progressive collapse is developed. Rather than using classical homogenization, it is found more effective to characterize the continuum by an energetically equivalent snap-through. The collapse, in which two phases—crush-down followed by crush-up—must be distinguished, is described in each phase by a nonlinear second-order differential equation for the propagation of the crushing front of a compacted block of accreting mass. Expressions for consistent energy potentials are formulated and an exact analytical solution of a special case is given. It is shown that progressive collapse will be triggered if the total (internal) energy loss during the crushing of one story (equal to the energy dissipated by the complete crushing and compaction of one story, minus the loss of gravity potential during the crushing of that story) exceeds the kinetic energy impacted to that story. Regardless of the load capacity of the columns, there is no way to deny the inevitability of progressive collapse driven by gravity alone if this criterion is satisfied (for the World Trade Center it is satisfied with an order-of-magnitude margin). The parameters are the compaction ratio of a crushed story, the fracture of mass ejected outside the tower perimeter, and the energy dissipation per unit height. The last is the most important, yet the hardest to predict theoretically. It is argued that, using inverse analysis, one could identify these parameters from a precise record of the motion of floors of a collapsing building. Due to a shroud of dust and smoke, the videos of the World Trade Center are only of limited use. It is proposed to obtain such records by monitoring (with millisecond accuracy) the precise time history of displacements in different modes of building demolitions. The monitoring could be accomplished by real-time telemetry from sacrificial accelerometers, or by high-speed optical camera. The resulting information on energy absorption capability would be valuable for the rating of various structural systems and for inferring their collapse mode under extreme fire, internal explosion, external blast, impact or other kinds of terrorist attack, as well as earthquake and foundation movements.     

Scale Modeling of the 96th Floor of World Trade Center Tower 1

This paper presents an experimental investigation of the World Trade Center Tower 1 (WTC1) collapse using a 1/20-scale model. The WTC1 fire on the 96th floor is reconstructed on a small scale, and structural members including the floor trusses and the exterior wall subsystem are built and tested under scaled fire load. Scaling rules are used to determine the values of the insulating material on the structural systems. This experimental study demonstrates the use of scaled models to investigate a real-world fire disaster. Results from the experimental investigation are compared to analytical results and visual evidence compiled in the National Institute of Standards and Technology report on the investigation of the collapse of WTC towers. This study helps engineers and researchers better understand the fire behavior and the associated structural response in WTC1, and a more solidly grounded collapse hypothesis can therefore pursued.     

Partial Demolition and Extension of Kuwait Medical College Building

This paper presents a simplified approximate analysis of the overall collapse of the towers of World Trade Center in New York on September 11, 2001. The analysis shows that if prolonged heating caused the majority of columns of a single floor to lose their load carrying capacity, the whole tower was doomed.     

September 11, 2001, Airliner Crash into the Pentagon

The Pentagon was constructed between September 1941 and January 1943. A substantial renovation of the entire 6.6?million?sq?ft (610,000?sq?m) facility began in 1999 and is scheduled for completion in 2010. On September 11, 2001, a hijacked commercial airliner crashed into the building. One-hundred eighty-nine persons were killed and a portion of the building was damaged by the associated impact, deflagration, and fire.     

Feasibility Study of Rotorcraft Fire Fighting for High-Rise Buildings

Fire risk in high-rise buildings is of special concern to the fire community, since it is crucial but still technically extremely challenging to significantly improve the current fire fighting capabilities when a calamity happens above the “seven story limit.” In fact, at the moment, there is a lack of effective means for fire fighting in this rare but potentially deadly and costly accidents. To address this problem, in this work we provide a preliminary exploration of a new concept for fire suppression: the use of rotorcraft vehicles for aerial fire fighting in high-rise buildings. If available, such system could effectively support fire fighting efforts conducted with conventional means; moreover, it could provide for one of the very few alternatives to classic systems in certain critical cases such as postearthquake fires. At first, we analyze the operative context with the help of a few reference realistic scenarios which allow for the estimation of some key physical parameters. Next, we evaluate two alternative fire extinguishing technologies, and we identify in the water impulse cannon the solution which seems to be the most effective and compatible with the use on-board a rotorcraft for the scopes considered in this work. The analysis leads us to the identification of a target vehicle as a possible candidate platform for the development of a fire fighting helicopter. Finally, we propose a preliminary design of the fire fighting kit, and we evaluate the handling qualities of the vehicle during operations with reference to the ADS-33 normative.     

Lessons Learned on Improving Resistance of Buildings to Terrorist Attacks

This paper presents some findings of the FEMA and SEI/ASCE sponsored studies of structural performance of New York’s World Trade Center (WTC) following the attacks of September 11, 2001, and the Murrah Building following the April 19, 1995, Oklahoma City bombing. The WTC collapses were caused not by aircraft impact alone but by the combination of impact and the resulting fire that weakened structural members and connections. On the other hand, the Murrah Building collapsed as a direct result of the blast. Although these studies call for further research in a number of areas, this report summarizes some of the lessons learned.     

Impact of Floor Planning on Airflow Patterns in Designated Refuge Floor in High-Rise Building

Refuge floorspace is implemented as a temporary place for high-rise-building evacuees to take a short rest before further evacuating in the case of a fire. It is specified as a requirement in the Fire Code of Hong Kong to provide designated refuge floors for high-rise buildings. To meet its desired function, a refuge floor must be a safe place for evacuees. However, the safety of refuge floors under fire situations may be impaired if the floor is affected by smoke ingress from other levels. The code prescribes that cross-ventilation should be provided in refuge floors so as to prevent smoke accumulation. Even with sufficient cross-ventilation, the prevention and/or extraction of smoke in the refuge floor cannot be guaranteed. In fact, the airflow pattern and smoke extraction/dilution largely depend on the floor planning in designated refuge floorspace. A study of the impact of refuge floor settings on the airflow around and inside the refuge floor is required and expected to provide some insight on the smoke movement pattern. In this paper, the computational fluid dynamics method is employed to predict and analyze the air movement around and inside a designated refuge floor within a high-rise building under different floor-plans. The study shows that the floor-plan does affect airflow patterns and further the potential smoke dispersion in the refuge floor.     

The Manhattan Bridge: A Clash of Titans

The Manhattan Bridge is one of the first examples of an urban bridge whose design was impacted by partisan politics and a desire for a more, in the eyes of some, esthetically pleasing suspension bridge. It was the third bridge to be built across the East River and its design resulted in a battle between Leffert L. Buck, his associates R. S. Buck, and O. F. Nichols and Gustav Lindenthal, the Commissioner of Bridges in New York City, appointed after the preliminary design of the bridge had been completed. This paper is about that battle.     

Performance Evaluation through Field Testing of Century-Old Railroad Truss Bridge

Research has been carried out to evaluate the structural behavior and influence of aging on a century-old steel railroad truss bridge. The structure is located in Connecticut and services a large number of trains traveling into and out of New York City. The trusses are made of built-up members, with either multiple eyebars or laced channel sections. All panel point connections are joined with true pins and the interior panels are indeterminate. The bridge had experienced problems relating to the lateral shifting of some of the middepth pins. This study was carried out to evaluate the structural behavior and live load distribution throughout the bridge. A major component of the research involved extensive field monitoring. The results show that the actual live load distribution is significantly different than expected from conventional analytical approaches that were most likely used in the original design. The load distribution in multiple eyebar elements is far from uniform, and the distribution of shear through indeterminate panels is significantly different than expected from a normal truss analysis. Significant out-of-plane bending was found in the truss due to floorbeam end rotations, which is thought to be the major factor that is causing the pins to move. The study shows the necessity of using field monitoring to better understand the behavior of older bridges prior to the design of renovation approaches.     

Description of Structural Damage Caused by the Terrorist Attack on the Pentagon

On September 11, 2001, an airliner was intentionally crashed into the Pentagon. It struck at the first elevated slab on the west wall, and slid approximately 310?ft (94.5?m) diagonally into the building. The force of the collision demolished numerous columns and the fa?ade of the exterior wall, and induced damage to first-floor columns and the first elevated slab over an area approximately 90?ft (27.4?m) wide and 310?ft (94.5?m) long. None of the building collapsed immediately. The portion that remained standing, even after an intense fire, sustained substantial damage at the first-floor level.     

Full-Scale Fatigue Tests of Steel Orthotropic Decks for the Williamsburg Bridge

Final design of the replacement orthotropic deck panels for the rehabilitation of the Williamsburg Bridge in New York City was based on laboratory fatigue tests of a full-scale prototype and an as-built orthotropic deck panel carried out at Lehigh University in the latter 1990s. The tests focused on determining and comparing the fatigue resistance of two different welded rib-to-diaphragm connection details that were recommended in the 1994 AASHTO LRFD Bridge Design Specifications and an alternative proposed by Steinman. The test on the prototype panel demonstrated that the fatigue resistance of the alternative detail was superior and influenced additional design changes that were incorporated into the replacement panels installed on the southern inner and outer roadways. Subsequent tests on the as-built panel further confirmed that the fatigue resistance of the alternative detail was superior and demonstrated that the additional design changes were also beneficial. Static and dynamic tests revealed the complex behavior of the orthotropic deck panels and demonstrated the effectiveness of retrofit and repair options at cracked connections. An assessment of fatigue resistance based on fracture mechanics models provided theoretical correlation. This research has led to the revision of design specifications for steel orthotropic decks first provided in the 2000 Interim AASHTO LRFD Specifications.     

Study of Verrazano-Narrows Bridge Movements during a New York City Marathon

Series of measurements of the motion of the Verrazano-Narrows Bridge during the November 7, 2004, New York City Marathon were made to evaluate the level of vibrations during the race. This paper presents details of the testing protocols and recorded data analyses as related to the bridge and the runners’ level of vibration perception. From the analysis of the recorded data, the excited local mode of the bridge deck within the range of the runners’ step frequency was identified. In addition, the computed bridge global response using observed runner density and estimated weight showed excellent agreement with the bridge measured response. It was also found that based on the analyses of the recorded data, the bridge deck vibration level during the marathon was within the acceptable range for the runners.     

Toughness of the Pentagon Structure

On September 11, 2001, the reinforced concrete structure of the Pentagon Building was able to resist, without collapse, the impact of a large commercial airliner despite the total loss of 26 columns and severe damage to 15 columns at the ground level. The ensuing fire and related fire-fighting activities led to the collapse of a portion of the building approximately one-half hour after the impact. In this paper, the reasons for the demonstrated toughness of the reinforced concrete structure are examined and attributed to use of spiral columns, effective splicing of reinforcing bars, strong girders, and short span lengths.     

Response to Fire Exposure of the Pentagon Structural Elements

An overview of fire damage sustained by the Pentagon structural elements in the September 11, 2001, terrorist attack is provided. The fire intensity in some compartments of the affected areas inside the Pentagon was approximated to be between those of the two standard fire exposures ASTM E119 and E1529, based on the observed fire damage and estimated fuel load. Thermal analyses of the structural columns and beams were performed using the standard fire exposures to demonstrate the increased vulnerability of these structural elements once the concrete cover was lost.