This article applies a combination of an eight-noded shell element with a three-noded beam element to solve a bending problem of a composite stiffened conoidal shell subjected to a concentrated load at the center. Benchmark problems are solved for validation of the present approach and a wide spectrum of stiffened conoidal shell problems are solved for various parametric variation of shell surfaces and positions of stiffeners. Both static deflections and force/moment resultants are examined thoroughly. The performances of the different shell options are studied by arranging them rankwise and through a typical relative performance matrix.