Three-dimensional thermal-mechanical models for the prediction of heat transfer coefficient distributions with different size beams are investigated. H300 × 300, H250 × 250, and H200 × 200 H-shape steel beams are investigated in a controlled cooling process to obtain the design requirements for maximum uniform temperature distributions and minimal residual stress after controlled cooling. An algorithm developed with the conjugated-gradient method is used to optimize the heat transfer coefficient distribution. In a comparison with the three group results, the numerical results indicate that, with the same model and under the same initial temperature ( = 850 ∘ C) and final temperature ( = 550 ± 10 ∘ C), the heat transfer coefficients obtained with the conjugatedgradient method can produce more uniform temperature distribution and smaller residual web stress, with objective functions of the final average temperature ave ± Δ and maximum temperature difference to minimum min{Δ max ( , )}. The maximum temperature difference is decreased by 57 ∘ C, 74 ∘ C, and 75 ∘ C for Case 1, Case 2, and Case 3, respectively, the surface maximum temperature difference is decreased by 60∼80 ∘ C for three cases, and the residual stress at the web can be reduced by 20∼40 MPa for three cases.