PLT OF A BE58 HAS THE R SIDE DOOR OPEN AFTER LIFT-OFF AT DAL. PLT FORGETS THAT HE HAD RETRACTED THE GEAR AND ATTEMPTS A GEAR UP LNDG. UPON HEARING A 'NOISE' HE MAKES A GAR AND THEN; DISREGARDING THAT 'NOISE' HE CONTINUES ON TO DEST ARPT. POSTFLT INSPECTION FOUND DAMAGE TO THE L PROP.

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AFTER TKOF AT APPROX 300 FT AGL JUST AFTER GEAR RETRACTION THE COPLT'S SIDE DOOR CAME OPEN. THERE WAS QUITE A BIT OF RWY REMAINING SO A LNDG WAS ATTEMPTED. PWR WAS FIRST REDUCED AND THEN ADDED TO START A DSCNT AND TO PREVENT A STALL. THE NOSE WAS PITCHED OVER AT THE SAME TIME. AS THE ACFT WAS ROUNDED OUT INTO A LNDG ATTITUDE IT WAS DISCOVERED THAT THE GEAR WAS UP. DURING THE GAR THAT WAS THEN MADE A NOISE WAS HEARD. AFTER CIRCLING TO LAND AND CLOSE THE DOOR IT WAS DETERMINED THAT THERE WAS NO APPARENT PROB. NO VIBRATIONS OR INDICATION GAVE EVIDENCE OF A PROB. THE FLT WAS THEN CONTINUED TO DEST AND UPON SHUTDOWN THE L PROP WAS FOUND TO HAVE STRUCK THE GND. THIS FLT WAS THE 3RD OF THE DAY AND WE WERE LATE GETTING OFF. I WAS ANGRY AT THE CTLRS AND RUSHING. I BELIEVE THE MAIN CAUSE WAS MY DESIRE TO LAND ON THE REMAINING RWY DUE TO ITS LENGTH AND THAT THE CONDITION (DOOR OPENING) OCCURRED RIGHT AT GEAR RETRACT. I DO NOT REMEMBER PUTTING GEAR UP AND SO I THINK I DID NOT CONSIDER THE GEAR AGAIN.