  Starting from an applicative problem related to the modeling of an element of
a cable-stayed bridge, we compute the elasticity solution for a hollow cylinder
loaded at the end faces with axial loads. We prove results of symmetry for the
solution and we expand it in proper Fourier series; computing the Fourier
coefficients in adapted power series, we provide the explicit solution. We
consider an engineering case of study, applying the corresponding approximate
formula and giving some estimates on the error committed with respect to the
truncation of the series.
