A bar of a support structure for a false ceiling is described. The bar has an elongated shape along a longitudinal direction and includes at least two sheet metal portions located side by side or overlapped, in contact or adherent, with each other along said longitudinal direction, or short side direction. In the bar a transverse direction, or short-side direction, extending transverse to, or intersecting, said longitudinal direction is defined. At least one of the sheet metal portions has cuts defining partially cut parts, wherein a partially cut part of said at least one of the sheet metal portions protrudes towards the other of said sheet metal portions in a thickness direction so as to determine an interference of parts in the thickness direction. The cuts are arranged, are directed, or extend along said transverse direction and the partially cut parts have, when viewed in perspective, an at least partially curvilinear or concave profile.