Abstract
Possibility of application of the beam theory to the probrem of cylindrical shell roofs subjected to an antisymmetrical load has been evaluted in this investigation. The present theory takes the effects of M_<xψ> and M_x into considerations, which satisfy exact equilibrium conditions. Then the formulae are brought into practical ones, and tables have been presented. If a shell is so long and shallow that GJ_t/EC_w cannot be neglected, the St. Venant's torsional ridigity or M_xψ should be considered. H. Lundgren neglects this effect in his book. In the case of torsion, the elastic effect of circumferential stiffener cannot be neglected. This elastic rigidity can be included, assuming the deformation is proportional to the warping function W. In conclusion the present theory is accurate than the old one and is suitable for the practical design purposes.
