DALLAS — Tropical Storm Bill moved slowly over inland Texas on Tuesday, bringing another round of heavy rain to a state weary from recent deadly floods, evacuations and washed-out roads.

The storm came ashore shortly before noon along Matagorda Island with maximum sustained winds of 60 mph before starting to weaken Tuesday afternoon, according to the National Hurricane Center in Miami.

According to projections by the National Weather Service, average rainfall through noon Wednesday for portions of Texas will be 3 to 6 inches, but some isolated areas could see up to 12 inches. Arkansas and Oklahoma could get up to 9 inches of rain in the coming days, and Missouri could get more than 7. The forecast was expected to complicate flood-containment efforts.