In alpine skiing the vibrations of the skis influence the performance of a skier considerably. An alpine ski can be modelled as an Euler‐Bernoulli beam with which the vibrations of the ski can be analysed mathematically. The main characterising property of a ski is its bending stiffness, which can be measured in the lab. Since a ski is a composite material the measured bending stiffness shows variations. These variations can be taken into account by adding a random field to an average bending stiffness. An experiment of a clamped ski is investigated theoretically.