The equilibrium of plate sections parallel to the supported edges based on shear stresses.

The stress-strain state of a cylindrical tank with a wall of constant thickness subjected to liquid pressure.

The stress-strain state of a thick circular slab rigidly fixed along the contour and subjected to a uniformly distributed load applied to the upper surface, in accordance with the three-dimensional theory of elasticity.

The stress–strain state of a plane truss under the concentrated load.

The stress–strain state of a system of intersected bars subjected to a distributed load and a concentrated load acting in the plane of the system.

Bending in the plane of loading under the concentrated load, neglecting transverse shear deformations. The maximum values of transverse displacement w, rotation angle θ, and bending moment M are verified.

The stress state in the elements of a spatial pin-jointed bar system subjected to a concentrated load.

Displacements of the free end x, y, z and the maximum stress σ_z 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.

If the design model is too large, it can be convenient to organize a recursive analysis by partitioning the entire system into subsystems—super-elements (SE). This approach works well when the subdivision is natural: for example, a building composed of volumetric blocks (each volumetric block is a super-element) or ...

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

Combined axial–bending deformation in a single plane.

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.