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A geometrical set of closed form trigonometric equations are developed as a simplified alternative to the complex numerical computations required for determining lateral belt tracking locus due to pulley misalignment tolerances. Solutions are validated by a comprehensive statistically designed database. Further, analytical verification is obtained from ABAQUS/Explicit results based on a nonlinear hyperelastic Ogden finite element model. Three-dimensional geometric equations form the basis of a computer tool developed to predict belt displacement across a flat backside pulley, as well as angles of entering and exiting spans. Predictions are performed for the critical combination of a grooved-flat-grooved pulley arrangement typically found in automatically tensioned front-end automotive serpentine accessory drives. Excellent correlation is found between the three-dimensional finite element analysis, experimental data, and the simplified geometrical model.