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<br />. <br /> <br />8RfOGES ON LEVEL OR UNIFORM GRADES <br /> <br />V't.5pOTi <br />, <br />(ffauncfl I <' I Top of (/{1IS!d!O slob <br /> <br />, i"~ <br />_ ,,~ " , __- Top of beam and <br />r-- --:....-.~ /~ bottOTrrOfhOUTiCh <br />-c: f (oora!Jollc) <br />L~,___l,_f..L__'L~ ' ,. _,. I '0 Of <br />L I "-,~ -,1 I "eC!,e ILD ~p <br />____ Span " I undeflected beam <br /> <br />FIGURE I <br /> <br />BRIDGES ON VERTICAL PARABOL.IC CURVES <br /> <br />CASE 1 <br /> <br />l..-f Scon <br />, <br /> <br />Hounch~ <br />, <br /> <br />.rS <br /> <br />,-y <br /> <br />.....lOOi'r flMshedsJob <br /> <br /> <br />"""T-- __ _ -:- / Tep L'f beam orJd <br />, bottom of hounrh <br />------_iJ"C,-~ _ (p<lro[>O!(c) <br /> <br />----Z_ ''-lhl?oref,col top Df <br />_~ llfldl'fJeclrdbeom <br /> <br />Span <br /> <br />FIGURE 2 <br /> <br />(Road'lloy surface with ((lnveJ vertlcol parabellc curve) <br /> <br />CASE rI <br /> <br />r--It. Span <br /> <br />HOiJnCfl <br /> <br />]-L_' <br />1'- <br /> <br />~S <br /> <br />Tapaf fw!s/leds/ob <br />Top of l1eom and <br />bottom of hounCh <br />(parabolic) <br /> <br />"/ <br /> <br />~ <br />t t I /~l <br />--I --_~__~Cl-j <br />L 1---- L <br />---spon------~ <br /> <br />Theoreflcol fop of <br />undldlecfed beam <br /> <br />FIGURE :5 <br />(Roadway surface with CDncore ver/"Ica! paraba!,c c'Hie) <br /> <br />. <br /> <br />SYMBOLS <br />C, -=Upward camber, meosured WI!h beams In placc' <br />.1 "" Downward defleellon Caused by plaCing slab, <br />dlaphragm/sj. barriers, ral/logs, Dnd weonn4 <br />surface. <br />h"" Haunch Ihlc~ness at ends of span. <br />S "" Nominal slab 1t1lOneSs <br />y '" Mid ardlniJte (Figure 2) or end (Jrdmafe <br />(Figure 3) for >~rtlcal parabOliC curie alono <br />length of span. <br />For FI!JuI'es lane J <br />I:; Hoof/cn thl(~ne~5 01 center cd span <br />For Figure t! <br />y ~ I =Hounch thlOness JI center of span. <br /> <br />. <br /> <br />. <br /> <br />NOTES <br />I Prestressed pruost-cancr~feb<,(]mSI!5 ri'C!'lved from the yord <br />'.1iI11 na>'! fJrl vpwl1rd camlYH '(',', 'oI,tw:h should be mel1svred .JOer <br />tJeoms {lOve be~n placed A vallie of "c,~ 15 assumed for pr~'ponng <br />drllwmqs The comber f~l/I vary wllh the 5f.'an lenqfhs Gnd IS <br />'!xpecleri 10 ~ary same Detween Deams of equal length Flqures 1,2, <br />und J, "ruslrate tyolcol conditions The nomtnol thickness "5' of <br />Ine Slob 011!J file !JO'lt'nl'tar!J flenertlon ",1' roused by placmq the <br />stab elc ore qlven on tl:e dl!slqn drawlI1l)s [fe~l}tlanS arf' CQlTl(AJfed <br />on on aH1Hr.l!d vallie for .CI: as gIVen on The d(awtnQs <br />2 At .7Ilflspan. !t,e beams wlllfleflec! the amount ".1" when the <br />concrete in the slob, d!Ophraqmfsl, elc IS placed <br />J In normal deslqns C,. .",11 ol'ftays be lerger fhan the <br />calculaled "il", shOVrn on !fIe Grawinl]s. hence' <br />F,'r ondq~'S on level Dr uniform grades, see Flqure I, <br />Ihe haunCh ffllckN!SS 'h"at the ends of the spall shall be <br />h "" C, -il ~ f <br />For bfidgl!s 011 convex vertiC'll parabul/l; CI)rvI!S,S"'~ r'gure 2, <br />the haunch !hlcKness 'h"a! the ends of the S(J:Jn shall be <br />fl= CI -.1' I. and sholl be h =Y" t 01 midspan. <br />FOI. !:ndgp.s 011 cal'COv~ verllcal porobrJl,c curves, sep. Figure <br />J,lne haunch IhlOnes$ "h'OI the end:; of the sf]an sholl be <br />h ~ C, -,1' I' Y <br />t/ Fur b"d-<e~ an level or 'Jndarm groaes, Ine (Inished rQljd~ay <br />surface ~hall Or.' level or 0 unlfarm grade 05 ShOWN on the <br />drov;!f'gs. For multiple SpanS, Ihe haunches of all spans be <br />1j'/juSted to malnt'J,n Ihe rt!'lulr'!o Il!velor ul',form qrade <br />alonqlhc'bndge <br />For bnd'}es on ~'er Ilcal paraboliC curves, the finiShed <br />roadway sI"facc shall form I) verfiCal parl1ballc curve <br />whlcn passes thrOur;h the raadwoy elevatiOns qlven on <br />Ille drawmqs For multIple spans. the haunChes of a/I spans <br />s.~a/{ De ad)'.I51-:d to obtain a finiShed rOadway surface which <br />conforms fa tM: ver!lcoloaraboll( curve and Itse/evatlems <br />05 qlven on the drawmqs. <br /> <br />..t>.. <br />1'_) <br />,p., <br />L.~ <br /> <br />I 4-7 - 7Z I <br />Ip <~I <br />I <br /> <br />CHEcJ(E/). <br /> <br />@ ALWAYS 11-110'" SA-FETV <br /> <br />VN."TEO srArES <br />OEPARTMENT OF THE INTFRIOR <br />8UREA<.1 OF RECLAMATION <br />FR>'IN(JPAN - ARKANSAS PROJECT-COLORADO <br />PU~BLO DAM <br />NORTH SHORE ACCESS ROAD <br />PRESTRESSED CONCRETE BEAMS <br />OETERMINATION OF HAUNCH OIMENSIONS <br /> <br />D~ "a..~,JI.. ,. <br /> <br />~UIUI1T1~D <br />IIrc:o,uIllEI;OEO ....: ....--- <br />>, <br /> <br />N <br />o <br /><D <br /> <br />0........'" -'5';" <br />CH[ClCEn t!&/ <br /> <br />,""PRovrD <br /> <br />&>EN'"'EIt, <:"D.O".OO, <br /> <br />rn." ".~;I <br /> <br />362-0-1591 <br />