Design of shallow tunnel linings under seismic effects of earthquakes

The paper presented describes a new analytical method of designing shallow tunnel linings of an arbitrary cross-section shape under seismic effects. According to this method the design includes determining the most unfavourable stress state which may appear in every lining normal section at any combinations and directions of long longitudinal and shear waves propagating in the plane of the tunnel cross-section. With this aim the sum and difference of general expressions for circumferential stresses on the internal lining outline obtained from new analytical solutions of corresponding quasi-static problems of the elasticity theory simulating the actions of long arbitrary directed longitudinal and shear waves are investigated on the extreme relatively to the angle of the waves falling. It allows the envelope diagrams of normal tangential stresses on the internal lining outline to be obtained analytically.