Structural　reanalysis　is　frequently　utilized　to　reduce　the　computational　cost　so　that　the　process　of　design　or　optimization　can　be　accelerated.　The　supports　can　be　regarded　as　the　design　variables　and　may　be　modified　in　various　types　of　structural　optimization　problems.　The　location,　number,　and　type　of　supports　can　make　a　great　impact　on　the　performance　of　the　structure.　This　paper　presents　a　unified　method　for　structural　static　reanalysis　with　imposition　or　relaxation　of　some　support　constraints.　The　information　from　the　initial　analysis　has　been　fully　utilized　and　the　computational　time　can　be　significantly　reduced.　Numerical　examples　are　used　to　validate　the　effectiveness　of　the　proposed　method.