Columns　failed　near　the　mid-zone　were　commonly　found　in　practical　engineering　when　subjected　to　an　increasing　compression　load　caused　by　the　vertical　ground　motion　during　an　earthquake,　indicating　that　more　confinement　may　be　necessary　at　the　mid-zone.　Fiber-reinforced　polymer　(FRP)　materials　have　been　widely　used　to　strengthen　the　columns.　Different　wrapping　schemes,　including　full,　partial,　and　nonuniform　wrap,　have　been　proposed.　Generally,　FRP-confined　concrete　stub　columns　using　the　existing　wrapping　schemes　failed　by　the　rupture　of　FRP　at　the　middle　zone,　indicating　the　middle　zone　of　the　columns　were　not　well　confined　by　using　the　existing　wrapping　schemes.　A　new　wrapping　scheme　with　more　FRP　sheets　applied　in　the　middle　zone　is　proposed.　Experimental　tests　with　a　total　of　28　specimens　were　conducted　to　evaluate　the　performance　of　different　wrapping　schemes,　based　on　which　an　arrangement　way　that　the　applied　FRP　materials　decrease　from　the　middle　zone　to　the　end　is　recommended.　The　results　suggest　FRP　materials　along　the　height　of　a　column　can　be　more　efficiently　utilized　by　using　the　recommended　wrapping　scheme.　Additionally,　compared　with　the　specimens　using　the　existing　wrapping　schemes　with　the　same　amount　of　FRP　materials,　the　recommended　wrapping　scheme　significantly　improves　the　strength　and　ductile　behavior　of　columns.