In this study, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response in closed form, which is very helpful for reliability analysis.