Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
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4. SEISMIC RESPONSE OF PARTIAL-STRENGTH COMPOSITE JOINTS<br />
124<br />
which <strong>the</strong> structure is on <strong>the</strong> verge <strong>of</strong> experiencing ei<strong>the</strong>r local or total<br />
collapse. Significant damage to <strong>the</strong> building has occurred, including<br />
significant degradation in strength <strong>and</strong> stiffness <strong>of</strong> <strong>the</strong> lateral force resisting<br />
system, large permanent deformation <strong>of</strong> <strong>the</strong> structure <strong>and</strong> possibly some<br />
degradation <strong>of</strong> <strong>the</strong> gravity load carrying system. However, all significant<br />
components <strong>of</strong> <strong>the</strong> gravity load carrying system must continue to function.<br />
The probability that a building may experience greater damage than foreseen<br />
depends on <strong>the</strong> vulnerability <strong>of</strong> <strong>the</strong> building <strong>and</strong> <strong>the</strong> <strong>seismic</strong> hazard to which it is<br />
exposed. Vulnerability is related to <strong>the</strong> capacity <strong>of</strong> <strong>the</strong> building, which may be a<br />
function <strong>of</strong> <strong>the</strong> global or interstory drift, plastic rotations or member forces. Ground<br />
accelerations associated with an earthquake cause building response resulting in<br />
global <strong>and</strong> interstorey drifts <strong>and</strong> member forces, all <strong>of</strong> which can be classified as<br />
dem<strong>and</strong>s. If both <strong>the</strong> dem<strong>and</strong> produced by ground motion <strong>and</strong> <strong>the</strong> capacity <strong>of</strong> <strong>the</strong><br />
structure to resist this dem<strong>and</strong> could be predicted with certainty, <strong>the</strong> engineer could<br />
design a building <strong>and</strong> have 100% confidence that <strong>the</strong> building would achieve <strong>the</strong><br />
desired performance objectives. Unfortunately, nei<strong>the</strong>r capacity nor dem<strong>and</strong> can<br />
be precisely determined because <strong>of</strong> uncertainties <strong>and</strong> r<strong>and</strong>omness inherent in our<br />
prediction <strong>of</strong> <strong>the</strong> ground motion, <strong>the</strong> structure’s response to this motion <strong>and</strong> its<br />
capacity to resist damage, given <strong>the</strong>se dem<strong>and</strong>s.<br />
On <strong>the</strong> basis <strong>of</strong> <strong>the</strong> important advancements in performance evaluation, developed<br />
under <strong>the</strong> SAC project, a procedure for associating a level <strong>of</strong> confidence with <strong>the</strong><br />
conclusion that <strong>the</strong> designed structure is capable <strong>of</strong> meeting <strong>the</strong> aforementioned<br />
performance levels (S.L.S. or S.L.U.) has been performed. The procedure includes<br />
<strong>the</strong> following steps:<br />
i. Determining <strong>the</strong> structure performance objective to be evaluated. This<br />
requires <strong>the</strong> selection <strong>of</strong> one or more performance levels, that is, ei<strong>the</strong>r S.L.S.<br />
or U.L.S., <strong>and</strong> <strong>the</strong> appropriate hazard level, that is exceedance probability<br />
desired for this performance. The NEHRP guidelines (BSSC, 1998)<br />
recommend that design solutions provide a 90% level <strong>of</strong> confidence that <strong>the</strong><br />
building satisfy desired performance from a global perspective <strong>and</strong> a 50% level<br />
<strong>of</strong> confidence that it satisfy <strong>the</strong> performance at a local level.<br />
ii. Determining <strong>the</strong> ground motion characteristics for <strong>the</strong> chosen performance<br />
objective. The ground motion intensity for each performance level should be<br />
chosen in order to have <strong>the</strong> same probability <strong>of</strong> exceedance as <strong>the</strong> hazard<br />
level <strong>of</strong> <strong>the</strong> design objective. It is assumed that a peak ground acceleration,<br />
p.g.a. equal to = 0.40 g should have <strong>the</strong> 90 % probability <strong>of</strong> not being<br />
exceeded in 50 years for <strong>the</strong> U.L.S. According to a Poisson model, this<br />
corresponds to a reference return period <strong>of</strong> 476.7 years; conversely a p.g.a. =<br />
0.1 g should have <strong>the</strong> 90 % probability <strong>of</strong> not being exceeded in 10 years for