Fibre-reinforced　polymer　(FRP)　strips　have　been　widely　used　to　retrofit　existing　reinforced　concrete　(RC)　frame　structures　to　improve　their　progressive　collapse　resistance.　However,　existing　FRP　retrofitting　schemes　improve　structural　collapse　resistance　by　simultaneously　enhancing　the　tensile　and　flexural　strengths　of　horizontal　structural　members.　The　enhancement　in　flexural　strength　may　lead　to　an　unfavourable　strong-beam　weak-column　mechanism　in　the　seismic　scenario.　Hence,　existing　FRP　retrofitting　schemes　were　optimised　in　this　study　by　numerical　investigation　using　LS-DYNA,　and　effective　schemes　against　both　progressive　collapse　and　earthquake　were　identified　for　RC　beam-column　and　beam-slab-column　substructures.　The　identified　schemes　remarkably　improved　the　structural　performance　against　progressive　collapse　at　large　deformations　whilst　marginally　affecting　the　progressive　collapse　resistance　at　small　deformations　to　guarantee　the　strong-column　weak-beam　mechanism　in　the　seismic　scenario.　Furthermore,　based　on　the　parametric　analyses　for　81　full-scale　substructures,　analytical　methods　were　proposed　to　calculate　the　strength　of　RC　frame　substructures　retrofitted　with　the　identified　schemes　under　catenary　mechanism,　which　can　be　further　used　to　design　the　FRP　retrofitted　RC　frames.　©　2023　Elsevier　Ltd