Analytical method for determining the stress-strain state of modular buildings

Introduction. Active introduction of modular buildings into the practice of modern construction causes the necessity to develop methods of their calculation. At the same time, there are no specialized guidelines for the design of modular buildings. It is impossible to manage only with numerical methods of calculation for forming design recommendations. Therefore, the creation of an analytical method of calculation of modular buildings is an important area of research. The question of determination of forces in elements of modular buildings with bearing columns and rigid intramodular connections is considered.Materials and methods. The determination of forces in the elements of modular buildings from vertical loads can be carried out with high accuracy using well-known formulas of building mechanics. The main difficulty is the determination of dynamic effects (wind pulsation and seismic load). It is proposed to use a cantilever construction scheme with the decomposition of masses at the floor level. As a result of calculations, a set of inertial forces is formed from pulsation and seismic action. Modular programme was written to simplify the calculations. The programme is convenient for making preliminary and variant calculations and research of modular building structures.Results. The presented analytical method for determining the forces in the elements of modular buildings shows good convergence of the results with the finite element method. On a concrete example, it is shown that there is practically no discrepancy in determination of forces from vertical loads. The discrepancy from the combined effect of the static and pulsation components is 4.2–16.6 % for bending moments and 1.3–6 % for longitudinal forces. The discrepancy in determining the forces from the seismic load is within the range of 5–10 % for both bending moments and longitudinal forces.Conclusions. The method is convenient for application at the stage of qualitative assessment of design solutions, variant calculations and search for rational design solutions of modular buildings.

modular buildings, natural vibration frequency, calculation methods, loads, internal forces