In this study, loadings of plate-rod structures were considered, causing a complex stress state, which are exposed to significant external forces applied outside the plane, causing torsion of the structure as a whole. An analysis of the stress-strain state of a plate-rod reinforced concrete truss with regard to concrete creep is given. The core and volumetric models and the calculation of the plate-rod trusses in the ANSYS software package taking into account the creep of concrete are created, the results of computer calculations and the comparative characteristics of the results obtained are presented. The forces in the truss elements from the load located in its plane are determined by any method known from structural mechanics for the calculation of plate-rod systems. External torques that act on the structure are balanced in the amount of reactive support torques. The calculation of the strength of elements of reinforced concrete plate-rod trusses is carried out for sections that are normal to their longitudinal axis, and also for sections of the most dangerous direction that are inclined to it. Calculation of the plate-rod trusses under the action of bending and torque is associated with the determination of the twist angle of the truss sections or with the determination of its torsional stiffness. © Published under licence by IOP Publishing Ltd.