This book introduces the importance of tire road Interaction during different operating condition of vehicle steady motion and transient behavior. A mathematical representation of the physics of a tire element was introduced. A simulation was built to show tire acceleration, steady state and deceleration during ordinary vehicle movement with the loading conditions considered. The tire physical parameters were identified through a very simple lab testing to simulate the exact tire behavior. The book, also, provides a general introduction to experimental tire behavior during different operating conditions. Many previous tire modeling and empirical formulas have been added. The mathematical equations of the spokes tire model were presented. This book will be helpful for students concerned with vehicle dynamics and vehicle modeling, identifying stress on tires during operating conditions and stimulation of road tire interaction forces and tire slip during acceleration, breaking and cornering. Tire designers may also find this book quite useful.