41.2.4.2. Tire forces and Moments in the Contact Coordinate System
Longitudinal Force
\({{F}_{x}}=-sign(S){{F}_{x}}\), for all cases
Lateral Force
\({{F}_{y}}=-sign(\alpha ){{F}_{\eta }}\), for case I and II
\({{F}_{y}}=sign(\gamma ){{F}_{\eta }}\), for case III
Self-aligning Torque
\({{T}_{z}}=sign(\alpha ){{T}_{z\alpha }}+sign(S)[-sign(\alpha ){{T}_{zs\alpha }}+sign(\gamma ){{T}_{zs\gamma }}]\)
Rolling Resistance Moment
\({{T}_{y}}=-{{K}_{\gamma }}{{F}_{z}}\), for a forward rolling tire.
\({{T}_{y}}={{K}_{\gamma }}{{F}_{z}}\), for a backward rolling tire.