A component made of a fiber composite material contains at least three wound layers made of a fiber material that are arranged one over the other. Each of the wound layers contains one or more windings. For each wound layer containing more than one winding, all windings of the wound layer have the same winding angle and are separated from each other in some sections, whereby intermediate spaces are formed between the windings. All windings of at least two of the wound layers have the same first winding angle. All of the windings of one wound layer, which is arranged between the two wound layers having the windings with a same first winding angle, have a second winding angle. The magnitudes of the first and second winding angles differ, and the windings having the second winding angle intersect with the windings having the first winding angle.