A nationwide Teamsters strike against 22 trucking companies entered its second day as a dockworkers union asked members to honor truckers' picket lines.

Leaders of the International Longshoremen's Association made the request yesterday of its 80,000 members, who load freight from ships along the Great Lakes, the Eastern seaboard and the Gulf of Mexico. The move came at the request of the Teamsters and followed the unraveling of management's united front.

Yesterday, management negotiators told 18 of the 23 trucking firms it represents that they were free to sign interim agreements with the Teamsters union.

The four largest trucking companies represented by the management group -- Consolidated Freightways Inc., Roadway Services Inc., Yellow Corp. and Arkansas Best Corp. -- haven't received approval to seek separate arrangements. They employ 80 percent of all the strikers.