Use Francis Quadrangle on first reference. Francis Quad, the Quad and the quadrangle are acceptable on second reference.

David R. Francis Quadrangle, more commonly known as the Quad, is the historic center of the University of Missouri. The Quad is the location of the Columns. It’s named for named for David R. Francis, governor of Missouri from 1888 to 1892, and is listed on National Register of Historic Places.

Example: The Columns are located on Francis Quadrangle.