A RIGOROUS ANALYTICAL SOLUTION OF A CONCRETE SLAB SUBMITTED TO INTERIOR AND EDGE LOADS WITH NO, PARTIAL AND FULL SHEAR TRANSFER AT THE EDGE

Abstract

This article presents a comprehensive analytical solution for evaluating the stresses and deflections in concrete slabs subjected to both interior and edge loads, with considerations for no, partial, and full shear transfer at the edges. By expanding upon Westergaard's formulas and integrating partial and full shear transfer scenarios, the study offers a more nuanced understanding of slab behavior under various loading conditions. The methodology involves deriving general solutions for infinite slabs under rectangular loads and subsequently adapting these solutions to slabs of finite dimensions and isolated loads. Through rigorous mathematical modeling and comparison with finite element methods, the accuracy of the proposed analytical solutions is validated. The findings affirm the validity of certain Westergaard equations, particularly the 1948 formula for edge load stress, and introduce a new formula for stress calculation that accounts for different shear transfer conditions. This research provides a valuable tool for the design and analysis of concrete pavements, allowing for precise stress and deflection predictions. It highlights the impact of shear transfer at the slab edges on overall slab performance, offering insights that could lead to more efficient and effective concrete pavement designs. (Abstract generated by AI tool ChatGPT 4)