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<br /> <br />20 <br /> <br /> 2 <br />fo- <br />"' <br />'" <br />... <br />~ <br />~ <br />J: <br />f0- <br />Il. <br />'" 0,6 <br />0 <br /> 0,4 <br /> <br />TECHNIQUES OF WATER-RESOURCES mVESTIGATIONS <br /> <br />/ / '// "h <br />/ / r//A <br />f;@W:- <br />. 'I i' <br />I , <br />~ 'r -j--+ , <br />I Iii I <br />L__.J i <br />.' ! in' <br />I ' <br />Ll_ I -' <br /> <br />4 <br /> <br />--- --, <br /> <br />r-i--'t <br /> <br />, <br /> <br /> <br />~j- <br /> <br />I ;...... ! // <br />I ' k;/ <br />i-r- h~~~ <br /> <br />0,2 ~~~~~I <br />~~i <br />0,1 <br />0,1 <br /> <br />0,2 <br /> <br />0,4 <br /> <br />0,6 <br /> <br />I 2 <br />AREA, IN SQUARE FEET <br /> <br />10 <br /> <br />I IE <br /> <br />::: <br /> <br />" <br />D <br />N <br />~ <br /> <br />10 I.:'::"~-':'-:~_-~::::',:' ::::: -=-FL Lrn::~::=::_- L '::::::c:r-'-'-Cp::;===--l <br />__~~ .--=, -- -j-- -t' -H--------t.---L--"t- jh . -j <br />I'--I-----~.- -, T -:-~--:; J <br />__' .: 0 'It <br />I ! . ",,-~- >.- <br />.I .f t'I') >. .0 <br />,E~- _>._.o_C\l_ <br />,.... ('<) .c Ln! <br />I c: N.o IX) ~ <br />1- ., -+t- ,~- --~ 0 /// <br />I I I ~ Ii I :J "' '1/ <br />~-----r---' ~-I;+/ <br />"' I '" I <br /> <br />I )l~~~~ <br /> <br />" <br />D <br />'" <br />- <br /> <br />I <br /> <br />-- <br /> <br />4 <br /> <br />6 <br /> <br />J <br /> <br />20 <br /> <br />Figure 5.-Depth-area curves for riveted pipe-arches. <br /> <br />showing properties of certain size pipes, and <br />pipe-arches. The purpose of these figures i, to <br />show the general shape these curves will follow <br />as well as to show certain type...; of curves t.hat <br />may be of vulue for sirnplifyill~ computntions <br />of odd-shaped culverts, <br /> <br />Flow at critical depth <br /> <br />At first glance, it may not be possible to tell <br />whether type 1, 2, or 3 (a backwater condition) <br />flow occurred. If the culvert is very steep and <br />the getaway conditions are good, the flow will <br />be type 1. For eulverts set on zero grade wit.h <br />good getaway conditions and no backwater, <br />type 2 flow is well assured. In both cases t.he ' <br />type of flow must be proved, For fairly flat <br />slopes and when backwater may be a factor, <br />there is always the possibili t)' of type 3 flow <br /> <br />occurring. The following computational pro- <br />cedures will identify the type of flow, <br /> <br />Type 1 flow <br /> <br />The general procedure is to (1) assume that. <br />type 1 flow occurred, (2) compute the elevation <br />of t.he water surface at critical depth and the <br />critica.\ slope, and (3) compare the critical slope <br />with the bed slope, and the water-surface <br />elevation at critical dept.h with the tailwater <br />elevation. This will generally result in positive <br />identification of types 1 01' 3 flow or narrow the <br />possihle flow conditions to types 2 or 3, <br />If critical depth occurs at the inlet, the dis- <br />charge may be computed with the applicable <br />critical-depth equations, 1, 2, 3, 4, and the <br />energy equation 5 as written between the ap- <br />proach section and the inlet, <br /> <br />e <br /> <br />e <br /> <br />e <br />