Narrative:

After takeoff from dfw, started turn to easterly heading and contacted dfw approach, was given squawk code and told to remain clear of class B airspace. Continued turn to north, climbing to 3500 ft (floor of class B airspace 4000 ft MSL). After reaching 3500 ft, leveled off, and in a few moments was given a TA. Looked for the traffic and saw a saab 340 descending through our altitude, I maintained separation and continued on. ATC then asked my altitude and I replied 3500 ft. ATC then said I was in class B airspace and to descend to 2500 ft. I started a descent to 2500 ft, but was sure the class B airspace floor was 4000 ft MSL in the area I was flying. After being handed off to another controller, the new voice gave us a phone number to call after landing at our destination, mckinney, tx. I made the call and was told that the TCASII went off in the saab causing a conflict alert. I told the ATC supervisor that the floor of the class B airspace in that area was 4000 ft and I didn't think I was in violation and he said that all TCASII alerts require a phone call. I think the saab descended into uncontrolled airspace on the way inbound to dfw and caused the TCASII to go off. I very rarely fly in this airspace, but in the future I will file an IFR flight plan so I will be allowed in class B airspace and given spacing from other aircraft.

Google
 

Original NASA ASRS Text

Title: FLC OF A BEECH BE90, MAY HAVE PENETRATED CLASS B AIRSPACE DURING A VFR CLBOUT FROM AN ARPT UNDERNEATH THE FLOOR OF THE CLASS B AIRSPACE RESULTING IN A CONFLICT WITH A SAAB 340 DSNDING.

Narrative: AFTER TKOF FROM DFW, STARTED TURN TO EASTERLY HDG AND CONTACTED DFW APCH, WAS GIVEN SQUAWK CODE AND TOLD TO REMAIN CLR OF CLASS B AIRSPACE. CONTINUED TURN TO N, CLBING TO 3500 FT (FLOOR OF CLASS B AIRSPACE 4000 FT MSL). AFTER REACHING 3500 FT, LEVELED OFF, AND IN A FEW MOMENTS WAS GIVEN A TA. LOOKED FOR THE TFC AND SAW A SAAB 340 DSNDING THROUGH OUR ALT, I MAINTAINED SEPARATION AND CONTINUED ON. ATC THEN ASKED MY ALT AND I REPLIED 3500 FT. ATC THEN SAID I WAS IN CLASS B AIRSPACE AND TO DSND TO 2500 FT. I STARTED A DSCNT TO 2500 FT, BUT WAS SURE THE CLASS B AIRSPACE FLOOR WAS 4000 FT MSL IN THE AREA I WAS FLYING. AFTER BEING HANDED OFF TO ANOTHER CTLR, THE NEW VOICE GAVE US A PHONE NUMBER TO CALL AFTER LNDG AT OUR DEST, MCKINNEY, TX. I MADE THE CALL AND WAS TOLD THAT THE TCASII WENT OFF IN THE SAAB CAUSING A CONFLICT ALERT. I TOLD THE ATC SUPVR THAT THE FLOOR OF THE CLASS B AIRSPACE IN THAT AREA WAS 4000 FT AND I DIDN'T THINK I WAS IN VIOLATION AND HE SAID THAT ALL TCASII ALERTS REQUIRE A PHONE CALL. I THINK THE SAAB DSNDED INTO UNCTLED AIRSPACE ON THE WAY INBOUND TO DFW AND CAUSED THE TCASII TO GO OFF. I VERY RARELY FLY IN THIS AIRSPACE, BUT IN THE FUTURE I WILL FILE AN IFR FLT PLAN SO I WILL BE ALLOWED IN CLASS B AIRSPACE AND GIVEN SPACING FROM OTHER ACFT.

Data retrieved from NASA's ASRS site as of July 2007 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.