JEANNETTE, Pa. — When Joe Biden visited this corner of southwestern Pennsylvania in the final weeks before the election, his goal wasn’t to win it so much as to show the area’s overwhelmingly white working-class electorate that his party was at least willing to try.

“A lot of white, working-class Democrats thought we forgot them,” Biden said after touring a union training facility during a late September swing through Westmoreland County. “I get their sense of being left behind.”

Democrats have offered paeans like that since President Franklin D. Roosevelt delivered the New Deal and cemented an alliance with working-class voters. That bond was rooted in the notion that the Democrats’ policies would improves workers’ lives.

But that relationship has steadily frayed, with working-class voters now casting Democrats as the party of cultural elites who talk down to them and reject their values. Such resentment has even driven workers to vote against their seeming economic self-interest, given that GOP tax policy is often geared toward the well-to-do and business.

Now Biden and his party are hoping that by muscling through passage of the $1.9 trillion coronavirus relief and economic stimulus bill — with benefits heavily weighted toward lower- and middle-income Americans — they can win back at least a larger share of working-class voters.

The president is flying Tuesday to Delaware County, outside Philadelphia, to help promote the new aid.

Still, that proposition — which Republicans dismiss as a “liberal wish list” — will be tested in places such as Westmoreland County. More than 250 miles west, the county was a Democratic stronghold until its industrial base withered.

“These are the kind of issues that are a little bit more meat-and-potatoes and that we should focus on in this area,” said Paul Adams, a former county Democratic official.

“Despite the fact that our sympathies may be with other issues,” Adams said, referring to larger efforts to tackle racism and promote gay rights, “it’s hard to get traction with that with the local population.”

Democrats are banking on direct payments of $1,400 to most Americans under the COVID-19 law as a strong counter to that criticism. The package also dramatically expands tax credits for families with children, bolsters unemployment benefits, reduces taxes on student loan debt and lowers costs of the Obama-era health law’s coverage.