Drill a 1 1/2-inch deep, 1-inch-diameter hole in the center of the 32-inch board. The center of the hole is 16 inches away from each end of the board and 1 inch away from each edge.
Glue the 60-inch dowel into the hole and let it dry according to the instructions on the bottle.
Drill 31, 3/16-inch holes that are 1 inch deep into the board. These holes are perpendicular to the 1-inch hole and their centers are spaced 1-inch apart. The centers are also 1 inch away from the 32-inch edges of the board.
Glue a 3/16-inch dowel into each of the holes and let the glue dry. The middle dowel will be glued into the 1-inch dowel. This will help prevent the 1-inch dowel from moving, even if the glue doesn't hold.