An aerodynamic profile for an arm of a structural casing of a turbine having a central hub and a shroud, the arm connecting the central hub and the shroud, the aerodynamic profile defining the arm when in a cold state and in a non-coated state, the aerodynamic profile being substantially identical to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which the coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a first reference X,Y plane situated at a base of the nominal profile, and H is a height of said profile measured from said first reference plane that is the intersection of a stacking axis of the arm and an axisymmetric surface of the hub, out to a second reference plane that is the intersection of said stacking axis with an axisymmetric surface of the shroud, measurements D and H being taken radially relative to an axial direction of the turbine, while the coordinate X is measured in the axial direction of the turbine.