Here is an excerpt from the NTSB report that describes what happened:
After takeoff the flight proceeded towards the destination airport and the captain later stated that while flying at 13,000 feet mean sea level (msl), and decelerating to 250 knots, the "Stab Out of Trim" light remained illuminated.The passenger charter flight had originated in Shannon, Ireland.
The autopilot was disengaged and the airplane suddenly pitched "aggressively" nose down, though the control yoke was guarded.
Attempts in resetting/moving the stabilizer setting using the pilot's and co-pilot's control yoke switches, alternate trim switches, and longitudinal trim handles were unsuccessful.
The approach was discontinued, and an emergency was declared with air traffic control (ATC). A "demanding amount of elevator back pressure was required to maintain level flight...", and the airplane was vectored for a landing on runway 27R, which was the runway requested.
The airplane was landed uneventfully on that runway with the flaps extended to 35 degrees, and the No. 2 engine at the flight idle position. The airplane taxied to the gate and the passengers were deplaned.
Preliminary examination of the airplane revealed that a shear pin/bolt in the horizontal stabilizer chain drive unit (P/N AJH7337-507) was fractured. The horizontal stabilizer chain drive unit was retained for further examination. [NTSB Report: MIA07IA088]