Contemporary industrial practice takes wide advantage of adhesive materials and adhesive bonding techniques, notably in the aviation and automotive industries. The geometry of bonded joints may vary considerably, and this paper explores the potential advantages of S-shaped lapped profiles with particular reference to the slope of the S. This aspect of the joint offers improvements in the area of adhering surfaces and provides superior bonding in comparison with conventional single lap joints. The study examines 30-mm overlapping specimen joints made from 100-mm-length by 25-mm-width AA 2024-T3 aluminium alloy sheets, having alternative thicknesses of 6.5, 10 and 13.5 mm. It also features three alternative radii for the profiles, thus generating different slopes for the S-shapes. The specimen joints were bonded using acrylic adhesive DP 810, modelled using finite element analysis and subjected to physical confirmation of the analysis results. The results show that a decrease in profile radius correlates with an increase in failure load; that an increase in profile radius lessens the effect of thickness on damage load and that bending moment is absent from the adhesive bonding profile of the S-shape.