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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5. SEISMIC BEHAVIOUR OF RC COLUMNS EMBEDDING STEEL PROFILES<br />
in <strong>the</strong> design tables, for what concerns <strong>the</strong> material specific weights. A uniformly<br />
distributed live load <strong>of</strong> 3.0 kPa was assumed at each storey level (mechanical<br />
equipments, finishes, etc.). Different values <strong>of</strong> <strong>the</strong> dead <strong>and</strong> live loads were<br />
calculated for <strong>the</strong> ro<strong>of</strong>; in this case <strong>the</strong> live load is equal to 2.0kPa.<br />
Subsequently, <strong>the</strong> horizontal <strong>seismic</strong> forces acting at each storey height according<br />
to Eurocode 8 have been determined; being <strong>the</strong> structure regular both in plan <strong>and</strong><br />
in height (prEN 1998-1, 2001), it is allowed to carry out a simplified planar static<br />
analysis, <strong>the</strong> so-called Lateral Force Method <strong>Analysis</strong>. The equivalent horizontal<br />
<strong>seismic</strong> forces, represented as nodal forces acting at each storey height, have<br />
been determined for <strong>the</strong> <strong>seismic</strong> study cases denominated above as A <strong>and</strong> B. For<br />
<strong>the</strong> two load combinations we assumed <strong>the</strong> same peak ground acceleration, i.e.<br />
0.20g, which implies that <strong>the</strong> construction site belongs to a low <strong>seismic</strong>ity area.<br />
Only <strong>the</strong> main aspects that are relevant to <strong>the</strong> <strong>seismic</strong> resistance <strong>of</strong> <strong>the</strong> moment<br />
resisting frames in <strong>the</strong> direction <strong>of</strong> loading are summarised herein.<br />
The design <strong>seismic</strong> loads at each level, Fi, were determined using <strong>the</strong> simplified<br />
modal response spectrum analysis method:<br />
182<br />
F = F ⋅<br />
i b<br />
z ⋅ m<br />
i<br />
i i<br />
( z ⋅ m )<br />
i i<br />
( 5.4 )<br />
where Fb is <strong>the</strong> <strong>seismic</strong> base shear, <strong>and</strong> zi <strong>and</strong> mi are respectively <strong>the</strong> height from<br />
<strong>the</strong> ground level <strong>and</strong> <strong>the</strong> masses at each storey <strong>of</strong> <strong>the</strong> building. The <strong>seismic</strong> base<br />
shear force is given by:<br />
F = S ( T ) ⋅W ⋅ λ<br />
( 5.5 )<br />
b d<br />
1<br />
where Sd(T1) is <strong>the</strong> ordinate <strong>of</strong> <strong>the</strong> design spectrum at <strong>the</strong> fundamental period <strong>of</strong><br />
vibration <strong>of</strong> <strong>the</strong> structure for translational motion in <strong>the</strong> direction considered, T1, W<br />
is <strong>the</strong> total weight <strong>of</strong> <strong>the</strong> building, <strong>and</strong> is a correction factor. The equations <strong>and</strong><br />
<strong>the</strong> values <strong>of</strong> <strong>the</strong> soil parameter, S, <strong>and</strong> <strong>the</strong> reference periods TB, TC, <strong>and</strong> TD that<br />
are required to construct Types 1 <strong>and</strong> 2 design spectra are given below. For this<br />
project, <strong>the</strong> following key parameters were adopted:<br />
• Type 1 spectrum;<br />
• Peak ground acceleration, ag = 0.20 g;<br />
• Subsoil Class A (Rock site, or alike, with Vs,30 > 800 m/s);<br />
• Behaviour factor, q = 1.5 for Ductility Class LOW <strong>and</strong> q = 3.9 for Ductility<br />
Class MEDIUM.<br />
Therefore, S = 1.0 <strong>and</strong> <strong>the</strong> reference periods TB, TC, <strong>and</strong> TD are respectively equal<br />
to 0.15 sec, 0.5 sec, <strong>and</strong> 2.0 sec. The fundamental period T1 <strong>of</strong> <strong>the</strong> structure was