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<br />.r',' <br /> <br />-:'1"':::~+ <br />.,":' ",,~.~,*-*,:_::....,' <br /> <br />it;, :~;;. '_ <br /> <br />,-:' -~;" <br />'""/"~~'::"::::: . <br /> <br />':~:/~m~' <br /> <br />ETL 1110-2-120 <br />Chanse 1 <br />26 MlIy . 19>71 <br /> <br />,,-".' <br />,,.}~,'.:: -,' <br /> <br />.,.' <br /> <br />": . <br /> <br />,. <br /> <br />, <br /> <br />"'"..~~,;-yc <br /> <br />') <br /> <br />::~l~;,: <br />. ':S~J:~:;-~ ~ <br /> <br />.' 'Hydraulics", <br />","'shear: <br />:: .c:. ~';;'__" '.' '-,' > <br />t~ ...~ ~ ~;~-:;/- <br /> <br />1959 ealtion,'may be used to determine the local boundary <br /> <br />"~"~'" ", <br />. ~'. . <br /> <br />. ',' J~~' <br /> <br />"'-.;- ~ <br />. '.,;" <br />.~;:: ~,..,. , <br /> <br />.... <br /> <br />(- . <br /> <br />...~~, .~, Gt <br />,~~- <br />'.I~:r: <br /> <br />. '~.-:',j.c>~~1::~-'; <br />. ~-:~~~J;~ , <br /> <br />;.1 ,: ; /.~..~ <br /> <br />....'. <br /> <br />"0 . ; [ 32.6 Lo:10 ~ <br /> <br />r <br /> <br />,,~. . - . . <br />'.,,,,,,,: <br /> <br /> <br />'. -:.r.:.:,,;-;-.:. .~. :~:.':'~t.{~.. <br />T - local boundary shear, lbs per .q ft,;.!!.\,4{...._..~..-" '" . <br />,0 = .., ."'i......., <br /> <br />:,;'~7' t "'...,:~:.~. ..: ::c: ::l::::;,l:;.per eu ft ..:"l!~!~[,~::~.i;\;~~~ <br />i~l:;;.",::t" .;:'");"" ~ ::::::a;~:er~~::::~ c::resPO~~j~7t~ v ~. ~~~~~~;~/ <br /> <br />';i,i('l{- .,;\;~:,"..;.'-- ...:~1 ,',,', ,;,.t,.,..; -', :'.:cr,. .'''' ,- ,.-........-..;4;,.,.1''''''... <br />.~ict:.:;~, Inclosure 4 is a graphical aid for solution of'this ~~f;~~~',~~~~.i): <br /> <br />i{li::' ;';<~~;~t ,., {4)" Equaticm (32) is based on ilJe assumptions off~il;q~~~g~~~_t' <br />,~. ''-'i'C.' flow conditions and nOTlDal logarithmic'vertical velocity distribution ,~'-~~i',",;:;~' }, <br />,:C ":'<':; -produced by 'lIIIiform channel fl~w. Fully TOUgh flow conditions. in.':~". <br />. ',;,c'.11ri." ,;~/ the range indicated on Hydraulic Design. ChaTt '631. noTlll&Uy occur lnq .; <br />, . ,:iir:V, channels which require ripra;p protection, .but significant deviations <br />';;E~';F: .' ",jj;1bom the :normal logarithmic vertical velocity distributi-onoccur 11l,:;:~~ <br />'''"Wi d1annels which have non-lDliform cross sections, varying slopes and . <br />". ,>.. :di-fferent bed andbanl TOUghness C0e-fficients . Thus, 1lIlless a lDIiform;~:,~~'..;'$.', <br />\~\,;J', 'channel cross section with identical bed and banl ripTap 1IIaterial -occurs "''J.'''t'~ffi' <br />':,'(:.'" , ,,: GI a constant slope .over a suffici.ent distance to pl'Oduce lDIiform>~::#' ".' <br />~'<t'~"":"~~\fhannel,~ow at normal depth_an~ velocity, llIax~mum local bOlDldary'sheat:' <br />~.i1,~:':.,: .'.:>!,.'. ':'Values Will be greater 'than~ndlcated byequa-uon (32), -due 1:0 grelrter,:". 'j <br />'$':" ;:wt~:i1lcal~zed. veloci ties ~ l'r7"';ll"e-pulsations. As th: e~ectso~:!,\'ff:,~'. <br />~...~..".;;,.i.f..,:..'.., ':...:~>,;cont~bUt1.~g f~cto~stodev1&tlons fz:om no:mal loganthmic VertlCa. .~". o.c,..: <br />'-.:"g::..~".~,. ~.: -.'.".' velOCIty dlStrlbutlon have not been establ1shed, values of local. .',:,7." .' .' "',.,1;0,> <br />';~re:.:- :1< 'bolDldary shear computed from .equ~tion (32) should be iucrea~ed by a :;t1';,:,:;,i;:.~~ <br />:'~';'i!f,'.q, "',;;;" :factor of 1..5, ,except when flow IS at or near normal depth ~n a channel;. :,~"".,: <br />+-'/'~'"- ';-~', ' --.- - - --., <br />'.1;,,_,y,:>.:',.~!;':'" wi'th uniform CTOSS sectiOn 1IIIdequal bed and side roughness. :'The local"; ..,' r." <br />..l:;,~,};C':'~'~ bolDldary shear should be increased additionallY in bends as indicated ~ . <br />,'~~i; : ',?t'> ,in EM UIO-2-160I, 'Plate 34. ., c..'" "'1;'~~l1r\:,,"f""^ <br />t~'1#A'-._-"._-'>',::~;~ _"" _'~:~'_"_..,,:..._,_.:.._~"____ '__~',- ',_'~,t-.-;;--~..' :'''" _' ,_ __-':;-1... _ '~__~:'~_~J~'-':_" <br />I.'~.".". '.~1f.~c.'7.'7i~~"'{SfiJ:i~'~"t;:' th~"<~:'="of sh;;r that~he tria1J~:ap;;~i';Cti;;I;~.':":'~:.'.".".;. "."'....~ <br /> <br />~i;:' , :':;:;:!.::can w~thstand,called the riprap ?~ign shear~should be determined by,~~~.r'1!,-, <br />~;.',.:;. ,:'-t}' -equauons (33) and (34) for ~e nunlllllDD DSO sue stone. :If the localt~<-~' .~\; <br />-, ,,'.' botmdary shear is within a xeasonable range of being equal to this":':!J~~;'-t': <br />';~;i:::', 4iesign sh:ar, the trial riprap stone ~izes are. satisfactory for de. Sign..../;.\.\lj;'.~.;.;..~.~. ';" <br />.However, ~f the local bOlDldary shear 15 appreCIably greater or less ". h;>l!'......, "(,' ~ <br />, . -.;;.. <br />. -",'." ,~-";" ..'c "~)~<.\,.''; ~. .'.:~ <br />~ ~' I,' _ . ..' .. ,_'_ <br />. .."',:':.< . ". i. .~~',~~_;:~~~" ,,_.~_.~~.~ ~~':'I, _~ <br />.~. .J",.!,>-cJ'~-~~',;~ _\ <br />'~~'L_ 7 _ ~~\Z~~~~ ~ -:.:,~~ ~~Yf 5:~,-_~:' _ _ ~~'~'f ~ <br />.~-~~~~,' ;;..-'" ..' _-.--:.,~~..-,- ~P;._- _~ <br />;,,~~C ":.:~;~~~~:~J~~~it;.;,~,:'i: ";',')~~ <br />~ ',' ~. ~'~'tf't~:,-,;,f.;",. ...~"..,. ~ <br />~~ :~t; ;r':f- .,~..,..:.:*<;7!-:~:.ii(~~;' ;~>~~ ,- :"W" <br /> <br /> <br />. ",. <br />'t:-'- <br /> <br />,mere: <br /> <br /> <br /> <br />" ,~ <br /> <br />.';.., <br /> <br />-~~:: . <br /> <br />., <br />,'" <br /> <br />4 <br /> <br />. .:,,~co'- <br />".~ <br /> <br />\- '. <br /> <br />'-i(' <br /> <br />..!', <br />