Calculation of horseshoe-shaped lining in elastic environment

The horseshoe-shaped lining in an elastic medium is deformed both from the inside and from the outside. From the outside, the lining receives elastic resistance from the soil, which changes along a square parabola and helps the lining work. Taking into account the influence of elastic resistance of the rock on the work of the tunnel lining is of qualitative importance. The paper considers the calculation of a horseshoe-shaped lining in an elastic medium, taking into account the influence of elastic resistance of the rock. The system under consideration is statically indeterminate, the calculation is carried out using the method of forces in matrix form. Examples of calculation are given.