A braking device of at least one rotary shaft (S) extending along an axis X includes an actuation unit (I) comprising at least one winding (B), two friction discs (D1, D2), an end flange (F1), an intermediate flange mounted between the two friction discs (D1, D2), and two magnetic armatures (A1, A2) biased by two series of springs (R1, R2). The magnetic armatures (A1, A2) are arranged in series along the longitudinal axis X, with each of the series of springs (R1, R2) respectively biasing a magnetic armature (A1, A2). A series of springs (R2) passes through the thickness of one of the two magnetic armatures (A1) in order to bias the other magnetic armature (A2).