A DETERMINATION OF THE PARAMETERS OF STRESS-STRAINED STATE OF LIGHT CONCRETE COMBINED SLABS FOR NON-CLASSICAL SHEAR MODEL

Abstract

The non-classical shear model for determination of the parameters of stress-strained state (SSS) of slabs with a non-uniform cross-section was improved. The improvement concerned the expressions for determination of the stresses functions of trough-thickness distribution of the cross-section and the physical and mechanical characteristics of the cross-sections. The holes into the cross-section were account for these obtained mathematical expressions. For this purpose, with the help of the apparatus of generalized functions, a discrete function is introduced which allows determining the width of the cross-section at the appropriate trough-length coordinate. After inputting the width function, the subintegral expressions of the stress distribution functions at the trough-length of the cross were converted and the corresponding integrals were found. The executed transformations allowed to correct the error that arose in the calculation of slabs in a non-classical shear model with holes in the cross-section. The refined model is used for calculation of light concrete combined slabs with profiled steel sheeting. The performed calculations allowed to defined new features in the distribution of the parameters of the stress-strained state, such as the change of the trough-length distribution of stresses of the cross-section and the length distribution of stresses of the slab. They also confirmed the possibility of applying a refined non-classical shear model to calculate light concrete combined slabs, and studying the parameters of the stress-strained state at any point and under different loading and fixing conditions.