Structure of Optimal Control in Optimal Shaping of the Steel Arch

The paper presents the problem of optimal shaping H-bar cross-section a steel arch that ensures minimal mass. Nineteen combinations nine basic load states are considered simultaneously in formulation. task is formulated as control theory within formal structure maximum Pontriagin’s principle. Since ranges constraint activity defining priori unknown and must be determined numerically, assuming proper plays key role solution. main achievement present work determination solution multi-decision multi-constraint optimization constituting primary structural system existing building assuring reduction mass up to 42%. In addition, impact assumed state value on examined.