A ball bat extending about a longitudinal axis. The bat includes a handle and a barrel portion. The barrel portion has a total length and includes a barrel rolling detection region having a length of at least two inches. The detection region is formed of a fiber composite material. The composite material includes at least first and second plies. The first and second plies each include first and second pluralities of fibers aligned adjacent to one another and first and second resins, respectively. The first and second pluralities of fibers of the first and second plies are generally aligned to define first and second angles with respect to the axis, respectively. The first ply is positioned over and within 0.002 in of the second ply. The first and second angles are each within the range of 20 to 80 degrees. The first and second angles are substantially the same.