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While offering improved crash worthiness and significant lightweighting opportunities, the increased use of advanced high strength steels (AHSS) may compromise the stiffness and NVH performance of vehicles due to reduced part thickness. Different methods to improve the torsional rigidity were studied on a pickup chassis frame. These methods include adding bulkhead pairs as reinforcement, increasing the thicknes of frame parts, and enlarging the closed sections on the rails. Structural optimization was conducted for each stiffness improvement method and the minimal mass increase required to reach the improvement targets was obtained. A material efficiency ratio μ is proposed in this research and used as a criterion to evaluate the efficiency of a mass increase to improve the structural stiffness and NVH characteristics of vehicles. Based on this parameter, the methods to improve the torsional rigidity of the pickup frame in all design spaces were evaluated.