Residual stresses are an unavoidable side effect in the heat treatment of aluminum engine components. The procedure allows the adjustment of required strength properties in the material. As a result of the thermal gradients caused by quenching, the yield point is locally exceeded and thus leads to a tensioning of the component. These stresses add up to those occurring during engine operation. If the tensile strength of the component is exceeded by the prevailing strain, it leads to the failure of the component. An exact prediction of the existing stress condition is therefore of great importance for the subsequent calculation of the endurance strength. In the present work, the approach for the calculation of the residual stresses due to the heat treatment of an age-hardenable AlSi10Mg(Cu) aluminum casting alloy using the example of the stress lattice is illustrated for three different immersion directions. For this purpose, the time- and space-resolved temperature is first calculated, which subsequently is transferred to the finite element analysis software for calculating the occurring stresses in the component. The main focus of this work is the different modeling of experimental hot tensile test data. The derived models provide the basis for a reliable stress prediction. A comparison of absolute stress values should allow a qualitative evaluation of the individual models and further pave the way for future improvements in the simulation of residual stresses.