Exact solutions of the field equations of general relativity are obtained for the case of static and spherically symmetric distributions of mass and charge, providing interior solutions for the continuation of the Reissner-Nordstrom metric to the origin. In the limit in which the charge density vanishes our solutions reduce to the familiar interior Schwarzschild solution and a more general interior solution found by Tolman. The exact solutions permit the computation of the self-energy contributions to the total gravitational mass, in particular those contributions due to the effect of the charge upon the metric. The results are presented in terms of a power series expansion in the gravitational constant. The possible singularities of the metric are discussed and the self-energy analysis is applied to a classical model of the pion to illustrate the magnitude of the gravitational effects in a familiar example.