Fibre-reinforced　polymer　mesh　fabric　(FRP-MF)　is　an　effective　substitute　for　normal　steel　stirrups　in　concrete　to　prevent　steel　corrosion　in　reinforced　concrete　(RC)　structures.　Nevertheless,　methods　for　calculating　the　shear　resistance　of　RC　members　rehabilitated　in　shear　with　FRP-MF　configurations　are　lacking.　Moreover,　the　methods　for　quantitative　analysis　of　the　shear　contribution　caused　by　the　cracking　control　effect　produced　by　CFRP-MF　longitudinal　FRP　strips　are　unclear.　In　this　paper,　a　mechanics-based　segmental　model　is　presented　based　on　partial　interaction　analysis　considering　both　transverse　FRP　strips　and　longitudinal　reinforcements.　By　incorporating　the　carbon-fibre-reinforced　polymer　mesh　fabric　(CFRP-MF)　stirrups　into　this　model,　a　shear　strength　model　was　proposed　and　extended　for　design　purposes　in　a　closed　form.　In　addition,　the　modified　compression　field　theory　(MCFT)　model　considering　the　shear　strength　of　concrete　in　compression　and　the　shear　friction　model　(SFM)　in　the　literature　were　appropriately　modified　and　used　for　comparison　with　the　segmental　model.　It　should　be　noted　that　if　the　tensile　strength　of　the　longitudinal　strips　was　added　into　the　corresponding　calculation　formulas,　it　would　cause　the　difference　between　the　proposed　novel　models　with　the　previous　models.　Finally,　the　shear　strength　of　14　CFRP-MF　reinforced　concrete　beams　were　evaluated　using　these　three　models.　The　average　ratios　of　the　experimental　values　of　the　CFRP-MF　RC　beams　to　the　shear　capacity　predicted　by　the　modified　segmental　model,　MCFT　with　the　shear　contribution　of　compressed　concrete　and　SFM　were　1.30,　1.19　and　1.19,　respectively.　It　turns　out　that　the　modified　mechanics-based　segmental　model　yields　the　minimum　discreteness　based　on　the　experiment　results.　This　study　can　provide　shear　capacity　calculation　and　design　reference　of　RC　beams　with　longitudinal　FRP　strip　reinforcements　for　researchers　and　engineers.