PHILADELPHIA — Joseph R. Biden Jr. has a habit of bringing people to tears.

For Teri Inverso, a Pennsylvania voter attending Mr. Biden’s Philadelphia rally this month, the moment came as she talked about her late parents and recalled how the former vice president coped with the death of his son Beau.

For Lisa Gatto, a sister-in-law of former Representative Steve Israel, it was when she once opened up to Mr. Biden about her experience battling breast cancer, Mr. Israel recalled.

And for State Senator Pam Jochum of Iowa, it happened as she recounted Mr. Biden’s condolence messages after her daughter died, and his own experiences with grief.

“Everyone has had someone in their life that they lost,” Ms. Jochum said.

“And the fact that he was able to pick up the pieces shows us you can continue on another pathway to make a difference,” she added. “That resiliency, the tenacity it takes to keep moving, it’s not easy, but you can do it.”