Research　on　multi-hazard　prevention　and　mitigation　in　building　structures　is　the　most　recent　developing　trend　in　civil　engineering.　In　this　study,　an　analytical　model　is　proposed　to　calculate　the　structural　resistance　of　a　type　of　multi-hazard　resilient　prefabricated　concrete　(MHRPC)　frame　under　earthquake　and　column　removal　scenarios.　The　MHRPC　frame　is　assembled　using　prefabricated　RC　beams　and　columns,　unbonded　post-tensioning　(PT)　tendons,　energy-dissipating　steel　angles,　and　large　rotational　shear　plates.　According　to　the　experimental　results,　the　MHRPC　frame　exhibits　the　features　of　low　damage　and　self-centering　under　seismic　loading.　Meanwhile,　when　subjected　to　column　removal　scenarios,　the　MHRPC　frame　is　proven　to　demonstrate　a　high　progressive　collapse　resistance.　In　order　to　calculate　the　seismic　and　progressive　collapse　resistance　of　the　MHRPC　frame,　analytical　models　for　the　critical　components　in　the　MHRPC　frame　(PT　tendons　and　steel　angles)　are　compared　and　selected　based　on　the　experimental　results　and　numerical　simulations.　Furthermore,　calculation　methods　for　the　seismic　and　progressive　collapse　resistance　of　the　MHRPC　frame　specimens　are　proposed.　The　calculation　results　are　validated　using　the　experimental　results.　This　study　could　provide　a　reference　for　the　design　of　MHRPC　frame　structures,　considering　both　earthquake　and　progressive　collapse.　©　2018　Lin,　Lu,　Li,　Zhuo　and　Ye.