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<br />e <br /> <br />'. <br /> <br />e <br /> <br />.. <br /> <br />e <br /> <br />Prefaee__ _ _ _ ____ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ __ <br />Symbols and units________ ______ ____________ <br />Abstract___ _ _ _ _ _ __ _ __ _ _ _ _ _ _. _ _ _ _ _ _ ____ _ __ _ __ <br />1ntroduction_ _ u _ __ _ __ _ _ u __ __ _ __ _ _ __ __ __ __ <br />Description of culvert flow _ __ _ ~ _ ~ _ h h _ _ _ _ ___ <br />General classification of flow _ _ _ _ _ _ _ _ _ _ _ __ <br />Discharge equatioDS___ ___ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ ___ <br />Critical depth_ _ u u u _ u _ _ u _ _ ___ __ ____ <br />Type 111ow_________________uu__u_ <br />Type 211ow_u _ u _ _u_ __ _ _ _ ___ __ _ _ ___ <br />Flow with ba.ckwater____________________ <br />Type 311ow__u_ __ _ _ __ _ _ _ _ _ _ __ __ _ _ _ __ <br />Type 4 lIow__ u u u u __ u u _ u u _ _ u_ <br />Flow under high headu _ _ __ _ __ __ _ h __ ___ <br />Type 511ow__uu__u________________ <br />Type 6 ftow___u_u_u_u_u_u___u_ <br />Field dats_ _ _ _ _ _ _ _ _ _ __ +_ _ _ _ _ _ _ _ _ _ _ _ ~ __ _ _ _ __ <br />High-water profiles____ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ __ <br />Headwater __ _ _ _ _ + _ _ _ _ _ _ _ + _ _ _ _ _ _ _ _ _ _ __ <br />Tailwater _ _ h __ __ _ __ u ,_ _ __ _ _ __ __ _ _ ___ <br />Approach section_ __ _ _ _ _ _ _ __ _ _ _ _ _ __ _ _ __ <br />Culvert geometry_ __ _ _ _ __ __ __ _ _ _ _ _ ___ ___ <br />Normal culverts__ _ _ _ __ _ _ __ _ _ _ _ _ _ _ _ _ __ <br />Skewed culverts_ _ _ _ _ __ _ _ __ _ _ _ _ _ _ _ _ _ __ <br />Mitered culverts.__ _ _ _ _ __ _ _ _ _ ~_ R ~ ___ __ <br />Photographs___________________________ <br />Special cOD~itioDs--- _ _ _ _ _ _ _ __ _ _ ___ _ _ _ ___ <br />Debris_______________________________ <br />Break in slope_hh~_~_hu__u____u_ <br />Natural bottom_ _ _ _ _ u _ _ _ _ _uu _ _ _ ___ <br />Roughness coefficients__ _ _ _._ __ _ _ _ _ _ _ ____ _ _ ___ <br />Approach sectioD_ __ _ _ _ _ _ __ _ _ _ _ __ _ _ _ _ _ __ <br />Culvertu__ _ _ _ _ __ __ _ _ _ _ u_ _ _ _ _ _ _ _ _ _ _ _ __ <br />Corrugated metaL_ _ __ __ _ _ _ _ _____ _ __ ~_ <br />Standard riveted section_ _ _ _ _ _ _ _ _ _ _ _ _ <br />Multiplate sectioD_ _ u _ _ _ _ _ _ _ _ _ _ __ _ ~ <br />Paved inverts_ _ _ _ _ _ _ __ _ _ _ ~ __ _ _ _ ~ _ ~_ <br />Concretenn_ u ~ _ _ _ _ _ u _ _ _ _ u_ u _ _ _ __ <br />Other materialsn__ _ _ _ _ _ _ _ _ _ _ u h _ _ u_ <br />Natural bottom____u________________ <br />Computation of discharge____ __ ~ _ _ _ _ _ ~'__ _ _ _ __ <br />Flow at critical depth_ _ _ _ _ _ _ _ _ _ __ __ __ ___ <br />Type 1 ftOW_h___U_U_uuuuuuu <br />Circular sections_____ __ _ _ _ ~ ___ _ _ ~ ~ __ <br />Pipe-arch sections.____ _ _ _ __ _ _ _ _ _ ____ <br />Rectangular sections_ _ _ _~ __ _ _ ~______ <br />Irregular sedtioDS_ h _ hUh _ _ _ _ _ u __ <br />Type 211ow__u_____uuu_uu_uu_ <br />Circular sectionsn _ _ ~ U h h_ _ _ _ __ _ __ <br />Pipe-arch sectioDS_ n h h _ ~ _ _ ~ _ _ _ _ h _ <br />Rectangular sections_ _ ___ _ _ _ _ _ ______ <br />Irregular sections_ _ _ _ h h h _ _ _ _ h _ __ <br /> <br />CONTENTS <br /> <br />P... <br />III <br />VIII <br />1 <br />1 <br />1 <br />2 <br />3 <br />3 <br />4 <br />5 <br />5 <br />5 <br />5 <br />6 <br />6 <br />6 <br />6 <br />6 <br />7 <br />7 <br />7 <br />7 <br />7 <br />8 <br />8 <br />9 <br />9 <br />9 <br />9 <br />\I <br />10 <br />10 <br />10 <br />10 <br />10 <br />10 <br />10 <br />11 <br />11 <br />11 <br />11 <br />20 <br />20 <br />21 <br />23 <br />24 <br />25 <br />25 <br />26 <br />29 <br />29 <br />30 <br /> <br />Computation of discharge-Continued <br />Flow with backwatern _ _ _ h U _ h ~ _ _ _ ~ _ h <br />Type 311ow___uu_u__uu_uuuu_ <br />Type 4 HOw____U___UUh_~______~__ <br />Flow under high head_h_hh _h_hh_h <br />Concrete culverts___ _ _ _ ~ __ _ _ ~ _ _ _ _ _ _ _ __ <br />Corrugated-pipe cui verts_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ <br />Type 511ow___uuuuuuuuuuu_ <br />Type 6 ftowu___UUU_hU_UUh_h <br />Routing methodR_ ___ _ ___ _____ _ _ _ __ ___ __ <br />Unusual conditioDs_n____ _ _____ __ _ _ ___ __ <br />Multiple culverts_ __ __ _ u _ u_ u _ _ _ _ u_ __ <br />Coefficients of discharge_ ___ __ ~ ___ __ ___ _ ___ __ <br />Types I, 2, and 3 flown__nnnnnnn_ <br />Flush setting in vertical headwalL _ _ _ _ _ _ <br />Pipe cul verts_ u _ u u _ u u _ u u u _ h <br />Box culverts_ _____huhu_n_h___ <br />WingweJI entranoo_ __ _ ___ __ _____ ___ _ _ ~ <br />Pipe culverts set flush with vertical <br />headwalL_ _ h__u _ _ u u u _ _ _ u __ <br />Box culverta____u__n___n________ <br />Projecting entranoo_ ______ _ ____ ___ _ _ __ <br />Corrugated-metal pipes and pipe- <br />arches________________R__________ <br />Concrete pipes with beveled end_ _ _ _ __ <br />Mitered pipe set flush with sloping em- <br />bankrnent________~_________________ <br />Types 4 and 611owu_____h_______uuu <br />Flush setting in vertical headwall_ _ _ _ _ __ <br />BQx or pipe cuiverts_____n_n__n_h <br />WingwaU entranoo______ _ ____ __ _ ___ _ __ <br />Pipe culverts set flush with vertical <br />headwalL__ _ _ _ _ _ _ u u _ _ _ _ _ _ _ _ _ __ <br />Box culverts_ _ __ _ _ __ h ___ __ _u _ __ __ <br />Projecting entranoo_ _____ _ _ _ _____ _ ~ _ __ <br />Corrugated-metal. pipes and pipe- <br />arches___________________________ <br />Concrete pipes with beveled end_ _ _ _ __ <br />Mitered pipe set flush with sloping em* <br />bankmenL____ ~_ ____ _~_ _ ______ _ _ ___ <br />Type 511ow______U_UU_h_______uu_ <br />Flush setting in vertical headwalL _ _ _ _ __ <br />Box or pipe culverts_____nnn__.u_ <br />Wingwall entrance_ __n___ _ __ ____ _ _ ___ <br />Pipe culverts set Hush with vertical <br />headwalL_ _ _u_u_ _ __u _u _____ __ <br />Box culverts__ _~unun __u___u__ <br />Projecting entranoo_____ _ _ _ _____ - - ---- <br />Corrugated-metal pipes and pipe. <br />arches_____________~_____________ <br />Concrete pipe with beveled end___ _ _ __ <br /> <br />P... <br />30 <br />30 <br />30 <br />30 <br />31 <br />31 <br />31 <br />31 <br />31 <br />36 <br />36 <br />37 <br />38 <br />38 <br />3841 <br />41 <br /> <br />41 <br />41 <br />41 <br /> <br />41 <br />42 <br /> <br />42 <br />42 <br />42 <br />42 <br />43 <br /> <br />43 <br />43 <br />43 <br /> <br />43 <br />43 <br /> <br />43 <br />43 <br />43 <br />43 <br />44 <br /> <br />44 <br />44 <br />44 <br /> <br />44 <br />44 <br /> <br />v <br />