BACKGROUND: "strand" can be a verb, "TO strand." It can also be a noun, "A strand."
A strand is a beach (playa).
Some things, such as boats, can only travel on water. Sometimes, when the water level is high, wind can blow a boat high up onto the beach. Then the water falls. The boat is on the dry beach. It cannot move. It is "stranded" in the original, literal sense. It is on the strand. It cannot get off.
By extension, you are "stranded" when you have traveled to an isolated place, and your car breaks down, or your plans for returning fail. For example, you might say:
"In 1980, I flew to Seattle in 1980. Then a volcano, Mt. St Helens erupted. There was so much dust that all flights were cancelled. I couldn't leave Seattle. I was stranded in Seattle for days."
"Stranded" and "to strand" are common in both US and British English US English. The noun, "a strand" very is rare in US English.