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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3. SEISMIC BEHAVIOUR OF BOLTED END PLATE BEAM-TO-COLUMN STEEL JOINTS<br />
+ +<br />
define <strong>the</strong> coordinates (ey , Fy ), <strong>of</strong> concern for <strong>the</strong> serviceability limit state.<br />
Imposing <strong>the</strong> condition F + + + +<br />
= Fy = Fu <strong>the</strong> ultimate displacement capacity eu can be<br />
+ +<br />
evaluated. Being Fu < Fmax , this definition implies a certain level <strong>of</strong> strength<br />
degradation. Such procedure can also be applied to <strong>the</strong> non-linear force-<br />
displacement envelope <strong>of</strong> <strong>the</strong> cyclic response <strong>of</strong> a specimen <strong>and</strong> <strong>the</strong>refore, <strong>the</strong><br />
+ +<br />
ultimate displacement ductility factor eu /ey can be evaluated also in a cyclic<br />
regime.<br />
F<br />
(F y + ,ey + ) (F p + ,ep + )<br />
(F e + ,ee + )<br />
K e +<br />
K e,r +<br />
K h +<br />
(F max + ,emax + )<br />
+ + (Fu ,eu )<br />
Envelope<br />
Trilinear approx.<br />
Bilinear approx.<br />
Figure 3.9. Bi- <strong>and</strong> tri-linear fits <strong>of</strong> a force-displacement envelope<br />
To acquire comprehensive sets <strong>of</strong> information from <strong>the</strong> specimens, <strong>the</strong> so-called<br />
Complete Testing Procedure proposed by <strong>the</strong> European Convention for<br />
Constructional Steelwork (ECCS Procedure, 1986) was used. This sequential<br />
displacement test protocol SDTP-1, which is illustrated in Figure 3.4a, is adopted to<br />
acquire data on <strong>the</strong> specimen capacity such as <strong>the</strong> maximum strength, ultimate<br />
+ +<br />
displacement ductility eu /ey , maximum absorbed energy, etc. A variant <strong>of</strong> this<br />
procedure, labelled SDTP-2, <strong>and</strong> suitable to ITS <strong>and</strong> CTS is depicted in Figure<br />
3.4b. The procedure SDTP-3 illustrated in Figure 3.4c, is characterized by a set <strong>of</strong><br />
equi-amplitude constant displacements at 6e +<br />
y, in agreement with <strong>the</strong> Cumulative<br />
Damage Testing Program (1992). This procedure provides <strong>the</strong> basis for developing<br />
fatigue-life relationships. Moreover, additional test protocols were conceived to<br />
investigate <strong>the</strong> displacement sequence effects on cumulative damage. In<br />
particular, <strong>the</strong> SDTP-4-SDTP-6 test protocols illustrated in Figure 3.4d-f, are<br />
characterized with large displacement reversals reproducing <strong>seismic</strong> pulses<br />
superimposed upon constant amplitude displacement fluctuations. Finally, <strong>the</strong><br />
SDTP-7 test protocol is plotted in Figure 3.4g <strong>and</strong> was derived from simulations on<br />
steel frames exposed to an artificial accelerogram matching <strong>the</strong> Type 1 elastic<br />
response spectrum suggested in Eurocode 8 (2002) for subsoil class A. This type<br />
<strong>of</strong> displacement sequence provides a convenient benchmark for compare r<strong>and</strong>om<br />
e<br />
57