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THANG NGUYEN DAO – JOHN W. VAN DE LINDT



THE UNIVERSITY OF ALABAMA
             JUNE 20, 2011
PBWE Expectations:
 Occupant Comfort
  • Little or no reduction in living/occupant comfort.
  • Almost a durability issue; no damage or water entry
    limited to moisture, i.e. no pooling.
 Continued Occupancy
  • Up to moderate reduction in comfort but no threat to
    safety or injury. Electrical, plumbing, and egress still
    present.
  • Loss of first gable or roof sheathing panel.
PBWE Expectations:
 Life Safety
  • Safety normally provided is not presented
  • Roof truss-to-wall connection failure; supporting
    column/post failure

 Structural Integrity
  • Visible signs of structural distress, i.e. permanent
    deformation, structure not safe
  • Collapse of roof; loss of lateral capacity
PBWE Expectations (Continued):
 Manageable Loss
  • Cost to repair structure is below a selected percentage
    of reconstruction/replacement value. This is dependent
    on numerous factors, and is often the result of
    rainwater intrusion and structural failure.

  • Loss distribution based on the assembly of damageable
    components.
Example of various levels of building performance as a
function of Hazard Level.
Fragility definition:
             Fr = P[G(X)<0|D = y]
Finite element method
Wind-Driven Rain.
Debris trajectory.
Numerical hurricane model.
Loss modeling
Finite element method
 Beam element
 Shell element
 New non-linear nail model
Rain-water intrusion
evaluation:
Construction of fragilities for windborne debris
impact to window:          Panel initial position
                                                                      Roof-sheathing trajectories
                                                                       during a hurricane hour




                                                                                 Target
                                                                                 window
                           Roof-sheathing trajectories that hit the
                             windows during a hurricane hour
Structural loss:
  Structural components or assemblies are defined as
  parts of building that resist wind load, or carry dead
  load and live load during a hurricane.
Non-structural loss:
  The non-structural or content loss is often due to rain
  water intrusion.
STRUCTURAL PROPERTIES                            HURRICANE PROPERTIES




    Non-linear                Wind load
structural analysis           statistics




    Statistics of                                           Wind driven
structural capacity                                            rain



                            Windborne debris
   Structural             impact risk analysis (not          Rainwater
                            included for single
component fragility                                          intrusion
                                   house)




Structural damage                              Non-structural component
      states                                         damage states

                          COST DISTRIBUTIONS
                         GIVEN DAMAGE STATES

Structural loss                                          Non-structural
                                                              loss



                             TOTAL LOSS
Structural loss

                                                                                               Wall
                                                            Missile                         structure
Damage           Damage              Roof sheathing                        Roof truss
                                                          impacts on                           (Max
 state          description             panels                             members




                                                                                                                                                                C
                                                           windows                         drift/height




                                                                                                                                                        1
                                                                                                                            Damage State D1




                                                                                                                                                  P(C|D1)
                                                                                            in walls)




                                                                                                                                                     1,
           No damage or very       All rooms in                                                                        1|
   1                                                      No             No               Negligible
           minor damage            damage level 1
                                   At least one room      One            One truss




                                                                                                                                                                C
                                                                                                                                                            2
                                                                                          > 0.1 % and
   2       Minor damage            reach damage           window         member                                        2|   Damage State D2




                                                                                                                                                  P(C|D2)
                                                                                            0.5 %




                                                                                                                                                     2,
                                   level 2                failure        failure
                                                          > one and                                       Hurricane
                                   At least one room                     > one and                        properties
                                                             the                          > 0.5 % and
   3       Moderate damage         reach damage                          the larger of
                                                          larger of                         1%                                     …
                                   level 3                               5% and 3
                                                          20% and 3
                                                          > the
                                                          larger of
                                   At least one room                     > the larger                                  |




                                                                                                                                                                C
                                                          20% and 3                       > 1 % and
   4       Severe damage           reach damage                          of 5% and 3                                        Damage State Dn




                                                                                                                                                  P(C|Dn)
                                                          and the                         3%




                                                                                                                                                     ,
                                   level 4                               and 20%
                                                          larger of
                                                          50% and 6
                                   At least one room      > the
   5       Destruction             reach damage           larger of      > 20%            >3%
                                   level 5                50% and 6
Structural damage state for Residential Construction Classes (revised from Vickery et al., 2006)


                                                                                                                  |            |       .      |
Non-structural loss (continued):




Total loss:
Example on PBWE with different expectations
                         Load               Coefficient     Distribution
                                 Mean                                       Source
                         Type               of variation       Type
                                                                              Lee &
                         Dead   3.5 psf
                                                  0.10        Normal       Rosowsky
                         load (168N/m2)
                                                                              (2004)
                         Wind                                              Ellingwood
                                 0.8Wn1           0.35        Normal
                         load                                                 (1999)

                         Structure                       Distribution
                                       Mean       COV                      Source
        40ftx60ftx12ft   Resistance                         Type
                                                                   Finite Element
                                       69 psf
                           Panel                                   Model, Dao and
                                        (3.17      0.24 Log Normal
                          capacity                                  van de Lindt
                                       kN/m2)
                                                                        (2008)
                                      1,312 lbs                    Ellingwood et al
                         H2.5 clip                 0.10   Normal
                                      (5.84 kN)                         (2004)
Continued Occupancy:   Life Safety:
Illustrative example of loss estimation:
Structural   Non-Structural loss   Total loss
Method can be used for PBWE of wood-frame
structure

The framework is felt to be a viable design alternative,
provided details are worked out, i.e. calibration.

During this research many assumptions was made, but
the result still presents a good level of accuracy when
qualitative comparison to hurricane Katrina is made.
Session 12 ic2011 nguyen

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Session 12 ic2011 nguyen

  • 1. THANG NGUYEN DAO – JOHN W. VAN DE LINDT THE UNIVERSITY OF ALABAMA JUNE 20, 2011
  • 2. PBWE Expectations: Occupant Comfort • Little or no reduction in living/occupant comfort. • Almost a durability issue; no damage or water entry limited to moisture, i.e. no pooling. Continued Occupancy • Up to moderate reduction in comfort but no threat to safety or injury. Electrical, plumbing, and egress still present. • Loss of first gable or roof sheathing panel.
  • 3. PBWE Expectations: Life Safety • Safety normally provided is not presented • Roof truss-to-wall connection failure; supporting column/post failure Structural Integrity • Visible signs of structural distress, i.e. permanent deformation, structure not safe • Collapse of roof; loss of lateral capacity
  • 4. PBWE Expectations (Continued): Manageable Loss • Cost to repair structure is below a selected percentage of reconstruction/replacement value. This is dependent on numerous factors, and is often the result of rainwater intrusion and structural failure. • Loss distribution based on the assembly of damageable components.
  • 5. Example of various levels of building performance as a function of Hazard Level.
  • 6. Fragility definition: Fr = P[G(X)<0|D = y]
  • 7. Finite element method Wind-Driven Rain. Debris trajectory. Numerical hurricane model. Loss modeling
  • 8. Finite element method Beam element Shell element New non-linear nail model
  • 10.
  • 11. Construction of fragilities for windborne debris impact to window: Panel initial position Roof-sheathing trajectories during a hurricane hour Target window Roof-sheathing trajectories that hit the windows during a hurricane hour
  • 12. Structural loss: Structural components or assemblies are defined as parts of building that resist wind load, or carry dead load and live load during a hurricane. Non-structural loss: The non-structural or content loss is often due to rain water intrusion.
  • 13. STRUCTURAL PROPERTIES HURRICANE PROPERTIES Non-linear Wind load structural analysis statistics Statistics of Wind driven structural capacity rain Windborne debris Structural impact risk analysis (not Rainwater included for single component fragility intrusion house) Structural damage Non-structural component states damage states COST DISTRIBUTIONS GIVEN DAMAGE STATES Structural loss Non-structural loss TOTAL LOSS
  • 14. Structural loss Wall Missile structure Damage Damage Roof sheathing Roof truss impacts on (Max state description panels members C windows drift/height 1 Damage State D1 P(C|D1) in walls) 1, No damage or very All rooms in 1| 1 No No Negligible minor damage damage level 1 At least one room One One truss C 2 > 0.1 % and 2 Minor damage reach damage window member 2| Damage State D2 P(C|D2) 0.5 % 2, level 2 failure failure > one and Hurricane At least one room > one and properties the > 0.5 % and 3 Moderate damage reach damage the larger of larger of 1% … level 3 5% and 3 20% and 3 > the larger of At least one room > the larger | C 20% and 3 > 1 % and 4 Severe damage reach damage of 5% and 3 Damage State Dn P(C|Dn) and the 3% , level 4 and 20% larger of 50% and 6 At least one room > the 5 Destruction reach damage larger of > 20% >3% level 5 50% and 6 Structural damage state for Residential Construction Classes (revised from Vickery et al., 2006) | | . |
  • 16. Example on PBWE with different expectations Load Coefficient Distribution Mean Source Type of variation Type Lee & Dead 3.5 psf 0.10 Normal Rosowsky load (168N/m2) (2004) Wind Ellingwood 0.8Wn1 0.35 Normal load (1999) Structure Distribution Mean COV Source 40ftx60ftx12ft Resistance Type Finite Element 69 psf Panel Model, Dao and (3.17 0.24 Log Normal capacity van de Lindt kN/m2) (2008) 1,312 lbs Ellingwood et al H2.5 clip 0.10 Normal (5.84 kN) (2004)
  • 17. Continued Occupancy: Life Safety:
  • 18. Illustrative example of loss estimation:
  • 19. Structural Non-Structural loss Total loss
  • 20. Method can be used for PBWE of wood-frame structure The framework is felt to be a viable design alternative, provided details are worked out, i.e. calibration. During this research many assumptions was made, but the result still presents a good level of accuracy when qualitative comparison to hurricane Katrina is made.