HyperSizer takes your overall beam load and resolves that load into unit forces, Nx and Nxy in the beam web, and in the flanges. You can see the loads that HyperSizer has resolved for each of these objects on the Object Loads tab.
The beam web should have three local buckling modes available:
1. Longitudinal
2. Shear
3. Interaction
If the load in the web is compressive Nx, then you will get a longitudinal margin. This margin is calculated by doing a panel buckling analysis of a flat plate representing the web with simple-simple boundary conditions. If the web load is shear, Nxy, then you should get a shear margin, and if you get both compressive Nx and shear Nxy, then you should get an interaction margin.
If you are getting this margin, "Flange top (/ bottom)- 2 sided - local buckling, shear direction", that means you have a shear load Nxy in the top flange object. This indicates that the overall beam has a shear load V2, or bending and shear in the 2 direction of the beam. If that is your loading, then you will not get any buckling or load at all in the web.
Can you tell me what kind of loading you have on your beam and what loading is HyperSizer presenting to you on the object load tab?