Corrigendum to “Upgraded formulations for the onset of local mechanisms in multi-storey masonry buildings using limit analysis” [Structures 31 (2021) 380–394]

The authors regret that there are editorial errors of some equations and tables shown in the published article, along with related text and figures. Therefore, a correct version of these parts is given for the readers’ reference. The authors would like to apologise for any inconvenience caused. […] The axis of the overturning moment is orthogonal to the vertical plane passing through the hinge and the barycentre of the moving macro-block. […] The inclined force T transmitted by the hip rafter of the roof, acting at the intersection of the orthogonal walls of the corner, is also taken into account. Its horizontal component TH (thrust) is inclined at 45 degrees with respect to the X or Y axis. […] [Figure presented] […]. Rotation θ of the diagonal hinges can be sketched as its two components: 1) θ sinα is the rotation about a vertical axis, which activates the work of torsion moments; 2) θ cosα is the rotation about a horizontal axis, which does not provide internal work (Heyman's type). As for the compatibility conditions, it is easy to derive that the rotation of the horizontal hinge is θ cosα, the relative rotation of the vertical hinges is θ sinα and the relation between the two components is: […] which clearly contains the load multiplier. Thus, having simplified out the virtual parameter of rotation (θ sinα), the virtual work equation for incipient collapse can be solved for the load factor in closed form: which is minimised for each o from 1 to N with respect to the variable nk, the number of courses between the top of the o-th storey and the horizontal hinge O-O1 (nk = 1, 2,…no). It is worth noting that both [Formula presented]