The inventions of the company Timber Structures 3.0 (TS3) facilitate the construction of point supported flat slabs made of cross laminated timber (CLT) elements. The CLT of the entire slab area is designed to bridge the largest span and to resist the largest forces at the point supports. Thus, major portions of the flat slab are overdesigned and much of the built-in structural timber is wasted. To tackle this problem, a biaxial hollow timber slab element is developed, to replace the CLT elements wherever their high performance is not needed. The hollow elements consist of a grid of notched, linear timber beams, covered on both sides with thin CLT plates. The notches in the timber grid cause stress concentrations perpendicular to the grain that can lead to an early brittle failure in regions with large shear forces. Therefore, possibilities to optimise the hollow elements' shear resistance are analysed with the help of finite element (FE) models. The models are compared to experimental results and the chosen methods are validated. The geometry of the FE model is parametrised, and the results of 1024 geometry combinations are analysed to study the influence of the geometry parameters on the structural properties of the hollow elements. The results show that geometries with multiple smaller notches have a significantly higher shear resistance than those with only one notch. Furthermore, the shear resistance can be increased by using a wider web with a smaller spacing. Contrary to the initial assumption, the use of CLT instead of glued laminated timber (GLT) in the web grid does not lead to a significant increase of the shear resistance.