PSI - Issue 11

Paolo Zampieri et al. / Procedia Structural Integrity 11 (2018) 436–443

438

3

Zampieri et a

l./ Structural Int

egrity Procedia

00 (2018) 000–00 0

tang the l

ential to the e ocal maximum

dge at the hin and minimu

ge points). If m points of t

this condition he thrust line

is not verifie before applyi

d, the hinge p ng PVW agai

oints (1, 2 an n.

d 3) are mov

ed to

Fig. 1. V

irtual displaceme

nt diagrams in th

e initial configu

ration of the mas

onry arch

T dis-p step asse

his procedure lacement d k t d k-1 , but rathe ss (step-by-ste

is re-iterated he hinges ma r the hinge p p) whether th

until the thr y not be corr ositions are u e collapse hin

ust line cond ectly position pdated (1‘, 2 ge positions

ition is verifi ed (1, 2, 3) in ’, 3‘) as show have changed

ed. It should

be emphasise e displaceme 3. This proce the displacem

d that for a g nt in the prev dure can ther ent d k increa

iven ious efore ses.

relation to th n in Figure (Figure 3) as

Fig. 2. Repres

entation of the ki

nematic mechan

ism in the generi

c configuration d

isplaced by Ω k

T verif

he procedure ied due to ali

described is gnment of the

repeated for three crack h

incremental v inges. Figure

alues of d k a 4 shows a flo

nd ends when w chart of th

the arch col e algorithm de

lapse conditi scribed abov

on is e.