Displacements of the free end x, y, z and the maximum stress σz in the fixed cross-section. Verification of consistency of results for models of different dimensions.


Combined loading (transverse load, concentrated load) acting in a single plane, neglecting transverse shear deformation. Displacements and internal forces are verified.


Beam fixed at both ends subjected to in-plane loading without considering shear deformation. The maximum transverse deflection and bending moments are verified.


The stress–strain state of a beam fixed at both ends under the uniformly distributed load, concentrated axial and transverse forces, and a bending moment.


The deformed state of a simply supported beam (with three stiffness steps) subjected to concentrated loads, neglecting transverse shear deformation. Transverse displacements and rotations are verified.


The stress–strain state of a two-span simply supported beam with an intermediate elastic support subjected to concentrated transverse forces applied at the mid-spans.


The stress–strain state of a beam (on an elastic horizontal foundation) under the concentrated vertical forces.


The stress state of a beam fixed at both ends under the transverse displacement of one end.


The stress–strain state of a plane system of two coaxial bars subjected to a temperature change.



The stress-strain state of a system of intersecting bars subjected to a distributed load and a concentrated load acting in their plane.


The stress-strain state of a cantilever frame subjected to a concentrated load.


Analysis of the stress-strain state of a single-span hinged plane frame with a double-pitched girder subjected to a vertical uniformly distributed load, concentrated vertical and horizontal loads, and a bending moment.


Analysis of bending in the plane of the ring under distributed load, shear deformations are neglected.


The deformed state of a semicircular arch of constant cross-section with hinged supports subjected to a concentrated load acting in its plane.


The deformed state of a split circular ring under bending in its plane, without considering shear deformations.


The cantilever circular bar of constant cross-section under in-plane concentrated loads and a moment applied at the free end.


The accuracy of determining the displacement at the free end of the bar in the direction of the concentrated load for models of different dimensionality.


Bending of a rectangular wall‑beam rigidly supported at the sides, subjected to a uniformly distributed load on the top surface.


The stress‑strain state of a cantilever circular bar of constant cross‑section subjected to an out‑of‑plane concentrated load at the free end.