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HYDRAULIC PROPERTIES OF PIPE ARCH FLOWING PART FULL Table 6 A Values of BD Detennlnatlon of Area d D .00 Al A2 m .04 AS .06 ,07 .08 .09 .1 .072 .081 .Q90 .100 .109 .119 .128 .138 .148 .2 .157 .167 .17 7 .187 .197 .207 .217 .227 .23 7 .24 7 .3 .257 .267 .277 .287 .297 .307 .316 .326 .336 .346 .4 .356 .365 .375 .385 .394 .404 .413 .423 .432 .442 .5 .451 .460 .470 .479 .488 .497 .506 .515 .524 .533 .6 .541 .550 .559 .567 .57 6 .584 .592 .600 .608 .616 .7 .624 .632 .640 .647 .655 .662 .670 .677 .664 .690 .8 .697 .704 .710 .716 .7 22 .7 28 .734 .740 .745 .750 .9 .755 .760 .764 .769 .772 .776 .780 .783 .785 .787 1.0 .788 Detemtlnalbn of Hydraulic Radius Values of D d D .00 At A2 A3 .04 .05 .O6 .07 AB A9 .1 .078 .086 .094 .102 .110 .118 .126 .133 .141 .2 .148 .156 .163 .i l0 .177 .184 .191 .197 .204 .210 .3 .216 .222 .228 .234 .240 .24 5 .250 .256 .261 .266 .4 .271 .275 .280 .284 .289 .293 .297 .301 .305 .308 .5 .312 .315 .319 .322 .325 .326 .331 .334 .337 .339 .6 .342 .344 .346 .348 .350 .352 .354 .355 .357 .358 .7 .360 .361 .362 .363 .363 .364 .364 .365 .365 .365 .8 .365 .365 .364 .364 .363 .362 .361 .360 .359 .357 .9 .355 .353 .350 .348 .344 .341 .337 .332 .326 .318 1.0 .299 • d Depth of flow D = Rise of wnduit 8 ~ Span of conduit A ~ Area of flow R = Hydraulic radius T = Top width of flow Table 8 Determination of Top Width 3/ t'-T~ ~~ D B Values of B d D .00 .01 .02 .03 .00 .OS .06 .07 .OB .09 .1 .900 .914 .927 .938 .948 .956 .964 ,971 .976 .2 .982 .986 .990 .993 .995 .997 .998 .998 ,998 .999 .3 .997 .996 .995 .993 .991 .989 .967 .965 ,982 .979 .4 ,976 .971 .967 .964 .960 .956 .951 .947 ,942 .937 .5 ..932 .927 .921 .916 .910 .904 .897 .891 ,884 .877 .6 .870 .863 .855 .847 .839 .830 .822 .813 .803 .794 .7 .784 .773 .763 .752 .741 .729 .717 .704 ,691 .678 .8 .664 .64 9 .634 .618 .602 .585 .567 .548 .528 .508 .9 .486 .462 .437 .410 .381 .34 9 .313 .27 2 .223 .158 HYDRAULIC PROPERTIES CIRCULAR CONDUITS FLOWING PART FULL Table 9 values of A} Determination of Area D d D AO At A2 A3 .04 .05 .OB A7 .08 A9 .0 .000 .001 .004 .007 .011 .015 .019 .024 .029 .035 .1 .041 .047 .053 .060 .067 .074 .061 .089 .096 .104 2 .112 .720 .128 .136 .145 .154 .162 .tit .180 .189 3 .198 .207 .217 .226 236 .245 .255 .264 .274 .284 .4 193 .303 .313 .323 .333 .343 .353 .363 .373 .383 S .393 .403 .413 .423 .433 .443 .453 462 .472 .482 .6 .492 .502 .512 .521 .531 .540 .550 .559 .569 .578 .7 .587 .596 .605 .6 t 4 .623 .632 .640 .649 .65 7 .666 b .674 .661 .669 .697 .704 .712 .719 .725 .732 .738 9 .745 .750 .756 .761 .766 .771 .775 .779 .782 .784 1.0 .785 Table 10 values of R Detennlnatlon of Hydraulic Radius D A D AO A7 A2 A3 .04 A5 .O6 .07 .OB .09 .0 .000 .00T .013 .020 .026 .033 .039 .045 .051 .057 .1 .063 .070 .075 .067 .087 .093 .099 . t 04 .110 .115 2 .721 .126 .131 .136 .142 .147 .152 .157 .161 .166 3 .171 .176 .160 .185 .169 .193 .198 .202 .206 .210 .4 114 21B 122 .226 229 .233 .236 .240 .243 .247 5 250 253 .256 259 .262 .265 .268 .270 .273 .275 6 27B .280 .282 284 .286 .288 .290 292 .293 .295 .7 296 .298 .299 .300 .301 .302 .302 .303 .304 .304 B .304 .304 .304 .304 .304 .303 .303 .302 .301 299 .9 298 .296 294 292 .289 286 .283 .279 274 .267 1A 250 .pq_ D =Diameter d =Depth of Flow A =Area of Flow R =Hydraulic Radius T ~ Top Width Determination of Top Width values of p d D AO .Ot .02 .03 .04 .OS .O6 .07 .OB .09 .0 .000 .199 .280 .341 .392 .436 .457 .510 .543 .572 ,1 .600 .626 .650 .673 .694 .714 .733 751 .768 .785 2 .B00 .815 .B2B .842 .854 .866 .877 .888 .898 .908 .3 .917 .925 .933 .940 .947 .954 .960 .966 .971 .915 ,4 .980 .984 .987 .990 .993 .995 .997 .998 .999 1.000 S 1.000 1.000 .999 .998 .997 .995 .993 .990 .987 .984 .6 .980 .975 .971 .966 .960 .954 .947 .940 .933 .925 ,7 .917 .908 .898 .888 .877 .866 .854 .842 .828 .B 15 .B .800 .785 .768 .751 .733 .714 .694 .673 .650 .626 .9 .600 .572 .543 .5 7 0 .475 .436 .392 .341 .280 .199 1.0 .000 i.e. Given d - 3 it., D = 4 ft., p = 0.75, From Tables; pt= 0.632, p = 0.30, and p = 0.866 `~ ~.1 ~.