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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

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