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For massive monolithic foundation slabs, the risk of early cracking during construction is a pressing issue. This problem is primarily caused by thermal stresses arising from uneven heating of the structure during concrete curing and cooling. The most common approach to assessing thermal stresses is to express them through the temperature difference between the center and surface of the structure. However, this approach fails to take into account that heat transfer conditions on the upper and lower surfaces of the slab may differ. The purpose of this article is to derive calculation relationships that allow thermal stresses to be expressed through temperatures at three characteristic points on the slab: at the lower surface, in the middle of the slab, and at the upper surface. The resulting formulas were validated by comparison with the results of finite element analysis and an experiment presented in the work of other authors. Compared to the results of finite element analysis, the error in determining the maximum tensile stresses at the center of the slab is 0.4%. To assess the applicability limits of the resulting formulas, a series of finite element calculations were also performed for various slab thicknesses. It was established that for a slab thickness of up to 2 m, the error in determining stresses at three characteristic points using the authors’ formulas does not exceed 10%.
Tyurina et al. (Thu,) studied this question.