This article is a contribution to modeling and analysis of the cohesion strength of saturated porous bodies during drying processes. The dependence of the drying-induced state of stress, the overall (reduced) stress, and the admissible stress on moisture content is discussed. The strength criterion is proposed stating that possible cracking of the material during drying takes place in regions where the reduced stress exceeds the critical admissible value for the given moisture content. Numerical calculations of the drying-induced stresses were carried out for a convectively dried kaolin cylinder, and the regions of possible material cracking within the cylinder were determined. This theoretical prediction of the possible cracking place in the material is consistent with the experimental data previously presented by the authors.