A new analytical method with sum function is introduced for solving problems of elasticity. The stress analysis of multi-span continuous deep beam subjected to distributed load has been performed. Meanwhile, considering effect of supported width, the divergence of solution on some bottom boundary points is eliminated and the static equilibrium as a whole is reflected. The present method has no coherence with Airy stress function, which provides a new approach for traditional elasticity analytical method apply to solving the practical engineering problems.
