# Appendix H To Chapter 6 HAZUS AEBM Regulations

The Probability of Collapse, P[COL], is calculated by Equation (A6-1):

where:

P[COL|STR_{5}] = collapse factor of the HAZUS AEBM, as modified herein, and

P[STR_{5}] = probability of Complete Structural Damage, based on HAZUS AEBM methods and parameters, as modified herein.

Building-specific properties are based on the building type (structural system), or Model Building Type (MBT), building height (number of stories above seismic base), building age (pre-1933, 1933 — 1961 or post-1961 design vintage), availability of materials testing data, and Significant Structural Deficiencies.

Table A6-1 lists Significant Structural Deficiencies. Table A6-1 includes older buildings (pre-1933 buildings) and buildings that do not have available materials test data, and treats these conditions as Significant Structural Deficiencies.

SPC-1 buildings with no Significant Structural Deficiencies are evaluated using "Baseline" values of building-specific properties. SPC-1 buildings with one or more Significant Structural Deficiencies are evaluated using SubBaseline (SubBase), or Ultra-Sub-Baseline (USB) buildingspecific properties, as specified in Table A6-1.

Building-specific properties include parameters related to (1) building capacity, (2) building response, (3) Complete Structural Damage, and (4) building collapse. Appendix H Sections 6-A4 through 6-A7, define the parameters of interest related to building capacity, building response, Complete Structural Damage and building collapse, respectively, and specify appropriate values of these parameters.

Building-specific capacity properties of interest include the yield capacity control point (*D _{y}*,

*A*) and the ultimate capacity control point (

_{y}*D*,

_{u}*A*), as calculated by Equations (A6-2 through A6-5, respectively):

_{u}where:

*C _{s}* = seismic design coefficient — values of

*C*are given in Tables A6-2a and A6-2b, respectively,

_{s}α_{1} = modal weight factor, Alpha 1 — values of α_{1} are given in Table A6-4,

*T _{e}* = elastic period, in seconds — values of

*T*are given in Table A6-3,

_{e}γ = yield strength factor, Gamma — values of γ are given in Table A6-5,

λ = "overstrength" factor, Lambda — values of λ are given in Table A6-5, and

μ = "ductility" factor, Mu — values of μ are given in Table A6-6.

*, and the degradation factor, Kappa. Values of β*

_{E}*are given in Table A6-7 and values of the Kappa factor are given in Table A6-8.*

_{E}Building-specific damage parameters of interest include the median spectral displacement of the Complete Structural Damage state, *S _{dC}*, and the associated lognormal standard deviation (Beta) factor, β

*. Values of β*

_{C}*are given in Table A6-11. Median spectral displacement at the Complete Structural Damage state,*

_{C}*S*, is calculated using Equation (A6-6):

_{dC}where:

*Δ _{C}* = interstory drift ratio (of the story with maximum drift) at the threshold of Complete Structural Damage — values of

*Δ*are given in Table A6-9,

_{C}*H _{R}* = height of building at the roof level, in inches — default values of

*H*are given in Table A6-3 as a function of the number of stories above grade,

_{R}α_{2} = modal height factor, Alpha 2 — values of α_{2} are given in Table A6-4, and

α_{3} = modal shape factor, Alpha 3, relating maximum-story drift and roof drift, values of α_{3} are given in Table A6-10.

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