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PROTECTING PEOPLE AND BUILDINGS FROM TERRORISM National Academy of Sciences 2001 The recommendations in this report, originally addressed to the prudent and potentially targeted, have now assumed compelling urgency for us all. There is a host of nonintrusive changes in construction techniques, materials, and building management practices that will result in the least harm to architecture and cost, and provide the greatest good for protection.
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The Root of The Problem Offset Resistance SOLUTIONS
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Two Extreme Views within Engineering The NeoComp View Blast and Impact are Topics for Specialized Computation and Specialized Experts The Conservative View Blast and Impact can be handled effectively by improving details
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Murrah Federal Building Oklahoma City 19 April 1995
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G20 Transverse Reinforcement Spacing 16 in.
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El Nogal Building Bogota, Colombia 7 February 2003
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( kip KE kip 00.10.20.30.4 0 100 200 300 400 Displacement, in. PE ) in Bogota, El Nogal
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The Facts Murrah Bldg Column Fails BOGOTA Demand OKLAHOMA Demand El Nogal Column Survives
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Murrah Bldg Column Fails BOGOTA Demand OKLAHOMA Demand El Nogal Column Survives Fails Computed
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Dominant Difference Murrah Bldg Column Fails BOGOTA Demand OKLAHOMA Demand El Nogal Column Survives Fails Transverse Reinf. Ratio 0.25 % 1.8 % Transverse Reinforcement Required by Colombian Code for Earthquake Resistant Design 36 by 20 in. 40 by 40 in.
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The Pentagon
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Before Impact (Engines dropped outside) Before impact. Note fuel distr. in wings
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Column cuts into cockpit
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Right wing cut near end Wing tip is cut by column
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Wing fuel destroying columns. Column in fuselage intact. Right wing shredded. Columns fail.
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Column in fuselage torn. Buckle near rudder. Fuel in fuselage damages columns Buckle in fuselage
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Wings and fuselage shredded. Airplane shredded
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WTC Impact Simulation Oscar Ardila Ingo Brachmann Christoph Hoffmann Ayhan Irfanoglu Voicu Popovic Santiago Pujol Paul Rosen
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Problem Set-Up Boeing 767-200 (AA11) WTC Floors (89-110) Mass 767 83 t (183 kips) Mass Fuel 30 t (67 kips) Mass 767 83 t (183 kips) Mass Fuel 30 t (67 kips) Mass Impact 113 t (250 kips) Mass Slab per Floor 907 t (50 psf) v impact 200 m/sec (450 mph) v impact 200 m/sec (450 mph)
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Boeing 767 – Overall Dimensions 48.5 m 47.6 m 15.8 m 4.7 m (interior)
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Mass-Distribution – Boeing 767-200
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Materials Materialf y (ksi) u (%) Steel42-10040 WTC Materialf y (ksi) u (%) Aluminum5512 Titanium12512 Boeing 767
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The Comp-Intensive Perspective
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Level Purdue Simulation 18 Story 991 Story 981 Story 9716 Story 9614 Story 9517 Story 943 Summary of Computed Damage in Core Columns
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12 fractured (story 95)Kajima Corp., Impact Analysis 1 severed; 2 heavily damaged (story 96)NIST, Less Severe Impact Analysis 6 severed; 3 heavily damaged (story 95)NIST, More Severe Impact Analysis 3 severed; 4 heavily damaged (story 96) 3 severed; 1 heavily damaged (story 95) NIST, Base Case Impact Analysis 23WAI, Impact Analysis 4-12MIT, Impact Analysis Number of Core Columns Damaged (maximum in a story) Investigating Team
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Number of Core Columns "Damaged“ in One Story 0 5 10 15 20 25 123456789
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Light Perspective
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ECCENTRICALLY LOADED COLUMN
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Total Eccentricity
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Moment kip*ft Mid-Height Deflection, in. RESISTANCE
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Moment kip*ft Mid-Height Deflection, in. Moment Demand at Mid-Height
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Moment kip*ft Mid-Height Deflection, in. Resistance Demand Equilibrium
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Moment kip*ft Mid-Height Deflection, in. Reduced Resistance
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Moment kip*ft Mid-Height Deflection, in. Resistance Demand
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One Story Two Stories
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Speculation If all core columns had survived, but all the insulation had been lost The core would have collapsed when the column temperature exceeded ~700 degrees C
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Speculation If insulation had not been lost The core would not have had a total collapse even if the maximum number of columns calculated to have been damaged had been lost.
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Speculation It is true that there all sorts of combinations in between those two extreme views. So far there is no indication that any one can be proven or falsified categorically by calculation.
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What should we conclude? Detail Toughness Insulation
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