Elasticity solution for a hollow cylinder under axial end loads: Application to a blister of a stayed bridge

Starting from an applied problem related to the modeling of an element of a cable-stayed bridge, we compute the elasticity solution for a hollow circular cylinder under axial end 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.