tail joist
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tailpiece

tailpiece, 1
1. A short beam, joist, or rafter, which is supported by a header joist at one end and a wall at the other; also called a tail beam or tail joist.
3. A lookout.
4. A pipe tee used with a sink drain.
McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.