WASHINGTON — As the partial government shutdown enters its fifth week, the funding freeze has impeded F.B.I. efforts to crack down on child trafficking, violent crime and terrorism, according to a report issued Tuesday by the group that represents the bureau’s 13,000 special agents.

“The resources available to support the work of F.B.I. agents are currently stretched to the breaking point and are dwindling day by day,” said Thomas O’Connor, the president of the group, the F.B.I. Agents Association.

The report reflected the scope and seriousness of the shutdown’s effects, and came as President Trump and the leaders of the two parties on Capitol Hill maneuvered to find a path out of the impasse. The Senate scheduled procedural votes for Thursday on competing Republican and Democratic proposals, although neither appears likely to win sufficient support to pass.

The Justice Department, which oversees the F.B.I., is one of the government agencies affected by the partial shutdown, along with the State Department, Transportation Department, Agriculture Department, Interior Department and others.