Prime Minister Mark Carney of Canada will have his second White House meeting with President Trump on Tuesday. Unlike many other nations, Canada has not been able to strike a trade deal with Mr. Trump, and that has put pressure on Mr. Carney to try to win at least some tariff relief during the meeting.

But Canadian officials remained largely silent before leaving for Washington, and people in the industries most affected by Mr. Trump’s trade war said they had little expectation of any significant breakthroughs.

Canada’s Tariff Burden

Mr. Trump has imposed a general 35 percent tariff on Canadian exports based on his claim, which is refuted by data, that Canada is a significant source of migrants and fentanyl for the United States.

That broad tariff does have a significant exemption. It excludes products that qualify as North American under the free trade agreement signed by Canada, the United States and Mexico during Mr. Trump’s first term, which make up a majority of Canadian exports.

But Mr. Trump has imposed tariffs on several key exports from Canada — automobiles, steel, aluminum and, most recently, softwood lumber — calling the measures a matter of national security.

Those tariffs have already had significant effects. General Motors is planning to lay off 2,000 workers at a pickup-truck factory in Oshawa, Ontario. In the same province, Stellantis suspended the overhauling of a factory in Brampton to produce a new Jeep model, leaving the plant idle.