Abstract. This work is carried out in order to study the classical problem of determining the optimal height of a plate girder with given moment of resistance in relation to the features of the real operation of a beam with a corrugated web. A bi-symmetric plate girder with a wavy web is considered. The structural model parameters of the girder correspond to the Zenam technology, which determines the structural limitations of the task. The physical model is the 1st class double-tee girder according to the stress-strain state (in accordance with the current design standards of Ukraine SCS (State Construction Standards of Ukraine) В.2.6-198). The mathematical model is considered as a task of minimizing the objective function (beam mass) taking into account design factors. The height is a project variable. The objective function is formulated as one-parameter taking into account the bending strength of the beam. The structural coefficients and their influence on the objective function are considered. Both the shear strength constrain and overall wall shape stability constrain are taken into account. Deflections are determined taking into account the shear deformations of the thin web
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