This study investigates the bond capacity and bond-slip behavior of pull-off (lap-shear) and pull-out joints with various adherents, adhesives, and substrates, filling the research gap in existing models that fail to account for the adherent nonlinear stress–strain behavior. A “Wine Glass model”, offering an elegant graphical and analytical solution to computation of bond capacity, is proposed. This model relies on two key assumptions: (i) a sufficient bond length (longer than an effective bond length) and (ii) a monotonically increasing stress–strain behavior of the adherent. The adherent stress–strain (σ-ε) curve and the stress axis (σ-axis) can be visualized as a wine glass. In this analogy, the interfacial fracture energy divided by the adherent thickness (G_f/t) represents the wine poured into the glass. The resulting height of wine corresponds to the adherent tensile stress, with respect to the bond capacity (F_b). The Wine Glass model unveils the mechanism governing bond capacity. Based on the Wine Glass model, an intuitive bond-slip post-processing method, which features a graphical solution as well, is then introduced. The Wine Glass model and associated bond-slip post-processing method are validated on pull-off/out tests corrected from literature, involving linear and nonlinear adherents, linear and nonlinear adhesives, and various substrate materials.