Karst　collapse　and　shallow　tunnel　construction　frequently　cause　partially　ground　settlement　of　shallow　foundations,　resulting　in　partially　developed　soil　arching　effect.　Development　of　approaches　to　quantitatively　analyze　the　influence　of　partially　developed　arching　on　vertical　stresses　is　of　much　importance.　Through　shallow　trapdoor　tests,　it　is　summarized　that　the　shape　of　slip　plane　of　shallow　trapdoor　may　be　tower-shape　under　plane　strain　conditions.　Analytical　solutions　to　coefficients　of　lateral　and　vertical　stresses　for　any　depth　of　the　shallow　foundation　under　the　action　of　partially　developed　soil　arching　effect　are　deduced　and　proved,　which　are　based　on　the　principal　stress　rotation　and　the　differential　settlement　of　soil　layers.　The　influence　of　main　parameters　about　partially　developed　soil　arching　effect　is　investigated.　The　results　reveal　that　the　larger　depth-width　ratio　and　the　displacement-width　ratio　of　trapdoor　are　needed　to　fully　develop　the　arch.　In　addition,　the　vertical　stress　of　fill　increases　with　the　increase　in　the　effective　angle　of　internal　friction　and　angle　of　slip　plane.　The　corresponding　results　can　provide　theoretical　guidance　for　the　calculation　of　vertical　stress　of　shallow　subsoil　subject　to　local　settlements.　©　2018,　Science　Press.　All　right　reserved.