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structures under any loading level. Nonlinear procedures can also help
demonstrate how structures really work by identifying modes of failure
and the potential for progressive collapse. Nonlinear procedures will help
engineers to understand how a structure will behave when it is subjected
to major earthquakes, assuming that the structure will respond beyond
the elastic limits, and this will resolve some of the uncertainties associated
with codes and elastic procedures. The performance approach, which was
shown in AASHTO guide specifications (2012), is considered, as shown
in Table 17.2.
Performance-based engineering, with their performance levels shown in
Figure 17.8, is set to select design structural criteria such that at specified
level ground motion, the structure will not be damaged beyond certain
limiting states.
In this section, conventional dynamic analysis (nonlinear dynamic in
Figure  17.7) and modal pushover analysis procedures (nonlinear static
in Figure  17.7) to determine seismic demands for inelastic structures are
presented.
Table 17.2 Performance approach
Performance level
Life safety
Probability of exceedance for design
earthquake ground motions
Operational
Rare earthquake (MCE)
3 % in 75 years
Service
Damage
Significant disruption
Significant
Immediate
Minimal
Frequency of expected earthquake
50 % in 75 years
Service
Damage
Immediate
Minimal
Immediate
Minimal to none
IO (immediate occupancy)
LS (life safety)
P
CP (collapse prevention)
P
S
P
S
C
B
D
E
A
Deformation or deformation ratio
Figure 17.8 Performance level of structures.
 
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