On August 2, 2020, about 1010 central daylight time, a Piper PA-30, N7750Y, was substantially damaged when it was involved in an accident at Shelby County Airport (EET), Alabaster, Alabama. The flight instructor and pilot receiving instruction were not injured. The airplane was operated as a Title 14 Code of Federal Regulations Part 91 instructional flight. The flight instructor reported that he was providing instruction to a commercial pilot for a multiengine rating. They briefed the procedures for a simulated short-field takeoff. The pilot receiving instruction taxied onto runway 16, applied brakes, then applied full power. Following an uneventful takeoff roll, the pilot receiving instruction rotated and raised the landing gear selector. The airplane then yawed to the right toward a line of trees. The instructor took the controls and attempted to correct with left rudder and aileron inputs; however, altitude could not be maintained, and the airplane descended to the ground. After touchdown, the landing gear collapsed, and the airplane came to rest against a fence and trees. The flight instructor reported in an interview that he did not recall any unusual engine indications or sounds and there was not time to feather a propeller. After applying rudder and aileron to counter the yaw to the right, the airplane “quit flying.” After the accident, while securing the airplane, he placed the fuel tank selectors to the OFF positions. An inspector with the Federal Aviation Administration responded to the accident site and examined the wreckage. He reported that there was structural damage to the airplane's wings, fuselage, and empennage. The wreckage was examined by the National Transportation Safety Board investigator-in-charge on October 6, 2020, at the wreckage recovery facility. Flight control continuity was confirmed from the cockpit controls to the ailerons, rudder, and stabilator. The left and right fuel tank selector handles were in the OFF positions. Both engines were examined, and no pre-impact anomalies were noted with either engine. Both the left and right propellers exhibited leading edge gouges and chordwise scratches.