In　order　to　prevent　the　progressive　collapse　damages　of　building　structures　under　accidental　loads,　nonlinear　dynamic　response　analysis　was　carried　out　on　the　local　damages　of　RC　frame　column　using　numerical　simulation　and　test　methods.　The　Matlab　program　was　used　to　create　curve　of　moment-curvature,　and　then　the　RC　frame　has　been　numerically　simulated　by　inputting　the　curve　data　to　finite　element.　Moreover,　the　experimental　analysis　was　made　on　the　variation　of　the　displacement　before　and　after　cracking　for　the　RC　frame　beams.　The　results　of　the　study　show　that　the　design　of　RC　frame　should　meet　the　rational　coefficient　of　dynamical　respond　within　linear　range,　and　also　the　non-linear　range.　Only　then　will　the　overall　stability　of　the　structure　be　improved,　and　prevent　progressive　collapse.