On the basis of optimization of the arch axis and section,the theoretical solution 3~(1/2)/4 of the vectorspan ratio of the parabolic variable cross-section arch under uniform load is obtained by the theoretical method.On the basis of the optimization of arch axis,the optimal theoretical solution 0.341 8 of the vector-span ratio of the parabolic contour arch under uniform load is obtained by the theoretical method.The optimization results are both the smallest of the arch volume,but the latter is 35%larger ...