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We propose an approach for the computationally efficient and quantitatively accurate prediction of solid-solution strengthening. It combines the 2-D Peierls–Nabarro model and a recently developed solid-solution strengthening model. Solid-solution strengthening is examined with Al–Mg and Al–Li as representative alloy systems, demonstrating a good agreement between theory and experiments within the temperature range in which the dislocation motion is overdamped. Through a parametric study, two guideline maps of the misfit parameters against (i) the critical resolved shear stress, τ₀, at 0 K and (ii) the energy barrier, ΔE_b, against dislocation motion in a solid solution with randomly distributed solute atoms are created. With these two guideline maps, τ₀ at finite temperatures is predicted for other Al binary systems, and compared with available experiments, achieving good agreement.