The structural stability of linearly adhesively supported glass panels restrained by means of metal frames and subjected to in-plane shear walls is assessed by means of extended Finite-Element (FE) investigations and analytical methods. In accordance with earlier research projects, the effects deriving both from adhesive connections and supporting frames of variable out-of-plane bending stiffnesses are highlighted in terms of expected Euler’s critical shear loads. Extended FE eigenvalue simulations are carried out on a wide set of practical interest. Based on the collected parametric FE results, analytical curves of practical use are calibrated, so that the k buckling coefficient and the corresponding Euler’s critical load could be calculated for a given glass panel with adhesive joints and supporting metal frames. As shown, compared to classical theories of ideally simply supported or fully clamped panels under the action of in-plane shear loads, the actual boundary conditions should be carefully taken into account. At the same time, the effects deriving from multiple combinations of several mechanical aspects should be properly assessed, so that standardized design buckling calculations could be carried out as for shear panels composed of traditional construction materials.