A longitudinal element produced with a core made of high-strength fibers and at least one metal casing, preferably steel, surrounding this core. In this way, there is the significant advantage that these high-strength fibers, which are very lightweight in relation to their strength, are protected in a number of ways, namely against humidity, moisture, UV light and other environmental influences. In addition, the metal casing provides the fibers with protection against transverse loads. In this way, all the high-strength properties of the traction or suspension means are maintained over a sustained period.