PSI - Issue 44

P. Sorrentino et al. / Procedia Structural Integrity 44 (2023) 1648–1655 P. Sorrentino et al./ Structural Integrity Procedia 00 (2022) 000 – 000

1653

6

0 100 200 300 400 500 600 0 100 200 300 400 500 600

10 12 14

F (t)

F/W (%)

A+B

B

B

0 2 4 6 8

A+B

Fx

A

A

d/H (%)

d (mm)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

0 20 40 60 80 100 120 140

(a)

10 12 14

F/W (%)

F (t)

A+B

d (mm) 0 2 4 6 8

A

A

A+B

Fy

B

B

d/H (%)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

0 20 40 60 80 100 120 140

(b)

Figure 5. Pushover curves in terms of F-d and F/w-d/H: (a) Fx and (b) Fy.

5. Second hypothesis: perfect interaction In this section differently from the first hypothesis of the previous section of no interaction between the parts, the hypothesis of perfect interaction is considered. The analyses are conducted considering the parts A and B as a structural unit of buildings in aggregate. In a similar way to what has been done for parts A and B, the pushover curves of aggregate A+B have been obtained, considering a distribution of forces proportional to the masses. The pushover curves shown in Figure 5 exhibit maximum base shears V b,max of 509t and 413t and ultimate displacements of 74mm and 54mm, respectively in x and y direction. In terms of F/w and d/H the curves show F/w values equal to 6.51% and 5.28% and d/H values equal to 0.40% and 0.30%, respectively in x and y direction. 6. Discussion of results The preliminary analysis of the parts A and B and of the aggregate A+B show different values of the ratio A w /A tot in longitudinal direction and comparable values in transversal direction. Furthermore, the same result is observed for the pushover curves in terms of F/W-d/H, in which the F/w values are different in longitudinal direction and are comparable in transversal direction. For this reason, a different behaviour is foreseen in the two orthogonal directions. These results are confirmed by the collapse mechanisms shown in Figures 6, 7 and 8. By comparing the mechanisms that occur in parts A and B and in the aggregate A+B, it is observed that in the longitudinal direction the aggregate A+B exhibits the same collapse mechanisms of the part A, that is the part that is characterized by the lower values of F/w and A w /A tot ; in transversal direction the aggregate A+B exhibits the same collapse mechanisms of the part A and the part B.