Stress-stain state of flat structural elements from concentrated loading
The classical problem of the stress-strain state of a strip using solutions in closed form for a half-plane is considered. The singularity of the problem solution is that the first solution, represented in the form of single trigonometric series by means of the corresponding summation obtained in closed form, is superimposed by the second solution, taken in the form of differentiable functions, and therefore rapidly converges. A solution for the stress-strain state of a strip reinforced by stiffening ribs is presented. The results of numerical calculations are given. It is emphasized that when the height of a rib tends to zero, the solution of the problem tends to the solution of a strip without ribs. The results of calculations on the stress-strain state of the strip, which are qualitatively comparable with the results of calculations using the classical formulas for the strength of materials from textbooks, are obtained.