Tunnel　crossing　active　fault　is　a　common　issue　in　mountain　tunnels.　Researching　the　analytical　solutions　for　the　longitudinal　response　of　tunnels　under　fault　dislocation　is　of　great　importance　for　disaster　prevention　in　mountain　tunnels.　This　paper　summarizes　the　mechanical　models　for　analytical　solutions　of　longitudinal　responses　in　tunnels　crossing　faults,　compares　the　characteristics　and　applicable　conditions　of　various　foundation　beam　models,　analyzes　the　key　factors　affecting　the　accuracy　of　the　analytical　solutions　of　foundation　beam　models,　and　finally　proposes　a　general　model　for　calculating　longitudinal　deformation　in　foundation　beams.　The　results　show　that　the　current　analytical　solution　models　for　foundation　beams　crossing　faults　seldom　consider　factors　such　as　the　form　of　fault　sliding,　tunnel　joint　methods,　and　external　forces　on　tunnels.　The　general　foundation　beam　model　can　introduce　new　parameters　without　changing　the　algorithm　and　enhance　the　efficiency　of　displacement　analysis.　This　study　provides　guidance　for　subsequent　displacement　prediction　and　disaster　prevention　in　mountain　tunnels　crossing　active　faults.　©　2024　The　Author(s).