The pilot stated that the purpose of the flight was for him to demonstrate his ability to land an airplane to a Federal Aviation Administration inspector, who was on the ground witnessing the flight. On the first landing, the airplane was landed hard causing the right main landing gear tire to deflate. The airplane veered off the right side of the runway and came to rest near airport facility equipment. The pilot further reported there was no preimpact mechanical failure or malfunction that caused the hard landing. Damage to the airplane was the right wing spar, left wing skin, and wrinkle in the fuselage skin above the right wing.