Odiehall:
AISC / SAC has limited database for weak-axis moment connections. Here is an excerpt from FEMA-350. In summary, moment connections in both axis of a column can be designed but there are no pre-qualified connections. All connections have to be tested.
3.3.3.3 Connections to Column Minor Axis:
Connections to the minor axis of a column should be qualified by testing following the procedures of Section 3.9. If minor-axis connections are to be used in conjunction with major-axis connections at the same column, the testing program should include biaxial bending effects at the connection.
Commentary: In general, the prequalified connections have not been tested for use with columns oriented so that beams connect to the minor axis of the column. Two tests of Reduced Beam Section connections in this orientation were conducted, which indicated good performance. These tests were conducted to provide a general indication of the possible performance of weak axis connections, but are not considered to comprise a sufficient database for prequalification of such connections.