Pretensioned hollow core slabs are one of the most widely applied precast elements in the modern building industry all over the world. Due to the possibility of their use under various support or loading conditions, these elements repeatedly work under a complex stress state. Theoretical analysis of the phenomena of the interaction of shear and torsion in the above-mentioned HC elements is presented. The theoretical basis and design regulations of the computational model included in code PN-EN 1168+A3:2011 along with parametrical analysis of that model are demonstrated. The largest experimental research program of hollow-core slabs under shear and torsion conducted thus far is also briefly described – this study was carried out in Finland in 2004 and was the basis for the development and calibration of the numerical computational model formulated in Chalmers University of Technology in Göteborg, Sweden.