The shear calculation scheme of a multi-storey building, popular in design practice, is considered.The application of the method of displacements is shown, when the mutual displacements of the floors of the frame are taken as unknowns. The indicated technique leads to the solution of the system of equations of the displacement method with the upper two-diagonal matrix, which makes it possible to obtain an analytical solution of the problem.

Keywords: shear calculation scheme of the building, move method, tridiagonal matrix, sweep method, reciprocal movements, analytical solution of the equation system