Assessing seismic risks for new and existing buildings using performance-based earthquake engineering (PBEE) methodology - Seismic Risk Analysis and Management of Civil Infrastructure Systems - page 306

()

d λ im

dim

( ) =

∫

( )

∫

( ) ( )

λ DV > dv G dv im d im = G dv im d λ im [12.13]

im im

Finally the PEER PBEE framework shown in Eq. [12.4] can be obtained
by substituting Eq. [12.10] into Eq. [12.13]. Note that Eq. [12.4] uses the
same conditional probability for successive earthquake events. This implies
the structure is non-deteriorating or is restored to its original condition
immediately after any structural damage due to an earthquake.

12.2.3 Implementation of the PBEE framework

The PBEE framework described in the previous section can be used as the
basis for developing rigorous PBEE procedures. The challenge is to imple-
ment the methodology in a manner that is practicable to use in a typical
design offi ce setting. Two issues must be addressed to achieve this goal: (1)
the performance measures ( DV , DM , and EDP ) and their conditional
cumulative distribution functions must be quantifi ed and formulated in a
straightforward way using data readily available to practicing engineers;
and (2) the intense computations required to integrate the PEER PBEE
framework (Eq. [12.14]) must be transformed into procedures and routines
that are transparent and easy to implement. An implementation that fulfi lls
these two goals is presented in the following steps:

1. Defi ne structural and nonstructural components to be considered in the
performance assessment.

2. Conduct seismic hazard analysis and ground motion record selection.

3. Evaluate the response of the building.

4. Generate additional correlated EDP vectors.

5. Compute the total repair cost.

6. Different representations of the total repair cost.

Defi ne structural and nonstructural components to be considered
in the performance assessment

The outcome of this step is a series of repair quantity tables for a structure.
These tables correlate the structural and nonstructural component damage
states and repair actions needed to restore them. They are formulated using
the following procedure. Depending on the structural system and intended
function of the structure, relevant structural and nonstructural components
of the building are selected and separated into different performance
groups (PG). Each performance group consists of one or more building
components whose performances are similarly affected by a particular
EDP . For example, one performance group might consist of all similar