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1 [10] Spring – 2014 – Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry [10] Spring – 2014 – Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry "" #- (& &&$+ * '+( (# (!#'$& $&''+& 0 ,' , +$'(: &,(/ #& '*%+ , %!& *!1!& '* '* '2 !& '(& &&$+< & !+'( "( " " ( ,)#" # ( "" #*#! (# "&( #- 0! '2+ *'% , +-'&+ ' !* $1-'&+ ,' , +-'&+ ' $'2* '&+

[10] Channel Geometry

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  • 1

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #- (& &&$+*'+((#

    (!#'$&$&''+&

    0,', +$'(:&,(/#&'*%+, %!&*!1!&'*'*'2!&'(& &&$+

  • 2

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry 3 [101[10[10[10[10[10[10[1[1 ]]][[10[100]][[11100][[10[10]]]]][ 0]]][[10]][[[[[ 0][[1[1[1010[10[100]1[1[10]]][1 ]]]][[10[10[100]00][100[[101 ]]]]0]]] SprprSSSSSSSSpSprSpSSSSprSprSSprSSSpprrSSSSSSppSSSSSSSSSSpprprprSprSSSSSSSSSpSprpprprSSSSSSSSSSSprpprSSprSSprSprSSSpSprSSSprSpSSpSprprSSSprrrp i ggngngnggiiingngingngngingng nnngngng ng innnnininnininngg ining gginnngng g g 202022020000220202202022 20 2 20 22020 20 222202020 20 20 222020000 20020 20 0 20 20 2000 20001141414141444144114414444 4 14 4 4 14 4 4 1414 4 444 14 14 14 1414 4 4 14 1114 141414144 114444 11444 1414141414444 HHydHHydydydydyydydddHydHHHydddddHydHHHHyHHydHydyddddydHHHHHHHHHydydddHydHydHHydHHHHHyHyydyddydHHHHHHHyHyyyyydydddHHHydHyyyyydddHHHHHHyHyyyHyHyyyyyydddHHHydHHHydHyyyyyyyyydddddddHydHydHyHHyydyydydHydHydHyydyydHydHH ddddHydHydHHyHHHydyyydHyddddHydHydHHydHydHydydyHydyddddHHHHHydHyyyyyddyyyyyyyyyyyyyyyyyyy aurauraulraulaululaulaululaurauluuullulraulraulraulaurauluuluuulrauraurauraullurauraululraulraulululaullauraurauaauaulraurauauaaaauululrraurauaurauuuuulrraurarauraurauraurauuulurrrauraurauauraurrauuuuuuu icsicsiiciccicicicsicsicsicsicsccsicsicsicccicsicsicssicscscsicssicsicccccsssiccccccsscsicsiccccicsi sssicssscccsssss DDDDDDDrDrDrDr. Dr. Dr.DDDDDrDr.Dr. DDDDrDrDrDr.DDrDr.DrDDDr. Dr.DDDr. DDDDr. Dr. Dr.Dr. DDr DDDrDD MohaMohMohaMohaMoMMMoMohaM ahahahahhohahaMohaohahahahaohaMohaohahahahhohahahaohaohohaohaohahahhahhaaaaMohaMoMohahhhhhhaMMoMoMoMohhhhhhhhaMoMohhhhhaMoMoooohhhhaaaaooohhhhaaMMoooohhhaaaaMoohhhhaaaaooohhhhaaaoohaaaoo ammammmmammammmmammmmammmmmmammmmammaaaddadadmmaddmmaddmmammmmmmaaaddmmadddmmmamammaddmmaddmmmammaaadadmmaddmmadmmmmmmmmmaaammaddddmmmmammaaaaaadddmmmmammaammaaaaddmmmmmmamaaddddddmm aaadddddmmmmmmmmadddddmmmadmmmmmaadmmmmmmmmmmmadddmmmmmmmmaddddmmmmm dddddmmmmm ddddd NNNN.NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN.NNNNNNN.NNNNNNNNNNN... NNNNN.. NNNNNN.. maAAlmaAlmamaAlmalmamaAlmamalmamaAlmaAAlmalmmamaAlAlmaAlmAlmamamaAAAAAAlmaAlmmaAAlmAlmAlmAlmmAlmmmaAlmAlmmAlmmmAlmmmmmmmmAlmllmmmmmmAlmAlmAlmAlmAlmAlmAlmmmAlmAlmmmAlmAAA mmammAlAlm srsri srrriririsriisrsrssrsrisrisrsrsrssrsrisrisrissrisrissssssssssrrrriissrrrrrrrririisrirririisrisriri ri [10]0]1101010]100]0]0]0]110]10010[110][[1[[111100000000]0]]110100[[10]101000000]]]]][[[10]10]110]0]0]][[[10][10][10]][10][10][100][10]0]0]][10][100]]0]0]] ChChChChChChChChhhChChhhChaChhhhhhCChhhhaahhhhhaaaaaaaaaCChhhhhahaaaaaaaChChChhahahahaaaaaaaChChaChChaCCChhhahaahaaaaaChChaChaCCCChaChahaaaaaaaaChChaaaaahaaaaChaaaaaaCC aaaaC aaaaaaaannnneneeelnnnnneneeellnnnneeneelnnnnnnnnneeellnnnnnnnnnneennnnnnnnneelnnnnnnnneneennnnnnneeeneeeeeellnnnnnnnnnnnenneeleelnnnnnnnnennnelnneleleeeenelnelnnnnnnnnnnnenelnnnnnnnnnnnnnnnnnnnneeeennnn enn GeoGeoGeoGeoGeoGGGGeGeeeeeGGGGeeGeGeeGeoGeoGeoGGGGeeGeoGeoGeoGeoGGGeeGeooGeoGeoGGGGeoGGeeeeeeeoeooooGeoGeoGGeoeooGeoGGGeGeeeeeooGeGeGGeeeeeoGGeGeGeeoGGeGeeeeoGGeGeGeGeGeGeeeeoGGeGeGeeoooooGeeooGeGeoGeometmmmetttmmmetttttmem ttttmmmmeeeeeeettttrrrrrrmetmmmmmmeeeeettttrrrrtrmememmmmeeeetttrrmemetrmmmmmmeteeeeettttrrrrmmmmmemmmeteeeeeteettttrrrrrmeteeteteeeeettttrrrrrmmmetrmeeteeeetttrrrrrrmmetrmmetrmemetreeeteetttetrrrmmeeeettrrrmetrrmmeetmetrrrmeeeetttetrrrryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy yyyyyyyyyyyy yyyyyyyyyyyyyyyyyyyyyy3333333333333333333333333333333333333333333333

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #- &$!#'2!&(!(+:&'3,*&$'*!+&,'*,'2!&'(& &&$+

    0 '2!+'&***,'+&1'+-'*&,(/#-

  • 3

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #- *'++?+-'&$*', '2!&&'(& &&$%41*42!, *+(,,'+(&-%

    &41*!-'&!&, !+ *2!$$++'!,2!, , '**+('&!&1*!-'&!&, *'++?+-'&$*''2

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #- *-$$4:$%'+,$$(*++0*!5+4+,%+ 12$$?&'%,*4

    '+,'(& &&$+:+0 +!&&,0*$*!1*+:,&&+ &')#"'

  • 4

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #- &*$$4:$'+'&0!,+4+,%%4 1*+0*'&!-'&+!&('*-'&'!,+$&, &(*++0*!5'&!-'&+!&', *('*-'&+

    0 ++*0+0$$4&'0&,*2 &, '2&+,*%&', $'++4+,%!++0%*

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    /$'#$""" ' (& &&$+&$++!!&,',2'%!&,4(+;

    "(+& &&$+&&) &&$+

    (+& "" ''*&,0*$2,*'0*++ 1&1$'(, *'0 '0, !+,'*44&,0*$(*'+++2!, '0,%"'* 0%&!&,**&

  • 5

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    /$'#$""" '

    &) "" '*+!&&'&+,*0,:'*!&,'+(!-'&+:,'%,*,!&2,*'&14&*)0!*%&,++0 +!**!-'&

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    /$'#$""" '

    &&$+%4!, *(*!+%-'*&'&(*!+%-

    &'!) &&$+*, '+, , 1'&+,&,*'+++-'&&'&+,&,+$'(2!, !+,&

    &"#"$&'!) &&$+, *'+++-'&&+$'(@,$+,'&', %A1*42!, !+,&

  • 6

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #!(&/

    ,*% &&$'%,*4&'%(+++''1')#" &:#-$(:-*$&!(&:(#$-(:#*#!-(:&'' #$

    '*, &-* &&$* :, +!&$0 "(:, ,&-(', ,, (#$*#!:' #$:,&&)#":,&''')#":&,-$(

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #!(&/ ,*%"" ''')#"!+0+,'&',, *'+++-'&' &&$,#&"#&! ,', !*-'&''2

    -'&+' &&$+*0+0$$41*4!**0$*'**'+!'&'&'0&*!+

  • 7

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"(' ''1')#" '$' &&$'1*&+, (/*&', 1$'!,4!+,*!0-'&:'0&*4+ *+,*++:&!+ *(!,4

    $+''!&,*+,*2/(*!%,*:,'(2!, :&'&14&,'*

    +'%,*!$%&,+*0&-'&+'+,2 ! 1*42!, !+ *

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('

    14

    (*%,*+2 ! &1*!'0+(/$'#"" ''')#"'*$$#!(& !"('

  • 8

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('$(# #-

    (, ''2:%:!+, 1*-$!+,&', $'2+,('!&,' &&$+-'&*'%, *+0*

    (, ''2 ::!+, (, ''2%+0*&'*%$,',

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"(' #$

    (, ''2+-'&!+)0$,', (, ''2%0$-($!4'@R4Q'+8A

    , &&$+$'(!++%$$:, &!+((*'3!%,$4)0$,'%

    '(::!+, $1-'&', *+0*'1+(!,0%

  • 9

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('#$"#*#!(

    2!, ::!+, 2!, ', &&$+-'&,, *+0*

  • 10

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    '&)0)#"' *'++?+-'&$*''2::&'*%$,', !*-'&''2:!+'%(0,'*'&)0')#"+;

    !#2!+, 2/(*!%,*&, 4*0$!*!0+*$0$,+;

    0+*!(,**+,', !, +-'&$%&,:&*&'*, !, $%&,:&!+, &0%*'+-'&+,'*$'2, *?2,*+0*

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('''1)#" &

  • 11

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('''1)#" &2.!$

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('''1)#" &2.!$

  • 12

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('''1)#" &2.!$

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('*&!(&"(/&+ +'

    2/(*!%,*::!+, $&, ', $!&'!&,*+-'&', &&$2/+0*2!, *'++?+-'&$($&&'*%$,', !*-'&''2

    4*0$!*!0+::!+, *-'', *'++?+-'&$*::,'!,+2/(*!%,*:; =)

  • 13

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('/&+ $(

    4*0$!(, ::!+, *-'', *'++?+-'&$*::,', ,'(2!, :;

    =)

    '**,&0$*+-'&+:, *'++?+-'&$*!+)0$,'

  • 14

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"(')#"(#&

    +-'&,'*::!+&+, (*'0,', *'++?+-'&$*::&, +)0**'',', 4*0$!(, :;

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('.!$ 374

    '%(0,, /&+ &+':/&+ $(:&')#"(#&'*, ,*(5'!$ &&$+ '2&!&, 0*

    (, ''2!+I%:, '/'%2!, !+EI%:&, +!+$'(!+F@ '*!5'&,$A;0@1*-$A

  • 15

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('.!$ 374

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('.!$ 384

    *,&0$* &&$H2! ++$'('ED>%!

  • 16

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('.!$ 384

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!(& !"('.!$ 384

  • 17

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"' '%('0&*'+++-'&!+++0%,''%('+'+!&$!"1"" '+')#"&&'(-'&$&('* +0+-'&

    1*'2'0*+2 &, *?2,*+0*!&, %!& &&$.', '1*$1-'&

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #&! #-#")#"'

  • 18

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    ,&" #-+&" ###")#"'

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"' #",/"(#&::2 ! !+%+0*'*'+++-'&=+'&$(/:&&2!, &&!&=+0&!'*%'2'*%0$+;

    2 *!+&&!&=+*'0 &++'!&, '*#!$#+"''')#"':, ,',$'&14&!+, +0%', '&14&', &&$:&, $ &&$

  • 19

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    4*0$!*!0+'*, '%('0&+-'&::!+,#&+, '&14&2! ,+0%'1*, +0+-'&+;

    2 *+0+*!(,+,&+'*, '%('0&+-'&:+,&+'*, %!&? &&$+0+-'&:&+,&+'*, '1*+0+-'&

    '**+('&!&1$0', %+, "(+"''!+;

    #!$#+")#"'

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 374

    3(*++, *''2'*, #!$#+"')#"!1&!&, 0*+0&-'&', (, ''2

  • 20

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 374

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 384

    1$0,, '&14&,'*:)0!1$&, 4*0$!*!0+:&)0!1$&,*'0 &++', '%('0&+-'&!1&!&, 0*

    #, &&!&*'0 &++'!&,@&A'*, %!& &&$+D

  • 21

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 384

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 384

    *1+ *+ *+

  • 22

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 394

    1$0,, '&14&,'*:)0!1$&, 4*0$!*!0+:&)0!1$&,*'0 &++', '%('0&+-'&!1&!&, 0*

    #, &&!&*'0 &++'!&,@&A+D

  • 23

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    #!$#+")#"'.!$ 394

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$ &&$+$'('*, +$'(', ' &&$:/: +(*''0&,'&, , #(/''2!&, &&$&:'&+)0&,$4:'&, #- *,*!+-+'*0&'*'%*!&+!&

    &&$+$'(%0+,&*+,!&'**,',*%!&, '&&, #(/0+!&, &&!&'* 54)0-'&

    0+, +$'(1*!+$'&!,0!&$$4:&,&, +#' #$%0+,,*%!&'*, &&$* 0&*'&+!*-'&

  • 24

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$

    (#7

    *, &&$+$'(!+ # %+0*%&,, ,((*'3!%,+, &*4+$'(:++0%!&0&!'*%'2

    '*, !+(0*('+:, &&$+$'(:/:!+'%(0,*'%, )0-'&;DR >

    2 *!+, $$', &&$!&%,*+&!+, '*!5'&,$!+,&@$&, A'1*2 ! , $$'0*+

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$

    (#8

    *!, %-+$'(%4$+'1$0,4'%(0-&, !(#(+$$&!#'("""#("" (#("" #+( (&!1!!&, !+$$4!,+#&0#"( "(

    &, !+%, ', $'$+$'(+*&',1$0,

    &$4'&1$0!+$0$,'*, &-* &&$

  • 25

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$

    (#9

    '%,*!+$'(!++'%-%+0+

    !++$'(!+,*%!&4$'-&, !""" 1$ ,)#"'&, %!& &&$&'%(0-&, !('$#"((#(#+( (

    "(!+, '*!5'&,$!+,&,2&, ('!&,'%!&$1-'&,', #

    $'(!+, &'%(0,0+!&)0-'&DR >

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$

    (#:

    !+%, ''&+!*+, +$'(,2&LIP@3$0!&, 0((*EIPA&EDP@3$0!&, $'2*EDPA', !+,&$'&, +,*% &&$*'%, +!&'0,$,,', !1!

    +$'(!+'%(0,0+!&)0-'&DR >

  • 26

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$

    (#;

    &, !+%, ':, &&$&,!&,'&0%*'* +: 1!&0&!'*%+$'(:

  • 27

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$.!$ 576

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$.!$ 576

    0 1 2 3 4 5 ,/(4 )/(4

    !& EIP' I

  • 28

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$.!$ 586

    0*+ '2++%&,'&,0*$*!1*ED:DDD!&$&,

  • 29

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$.!$ 586

    [10] Spring 2014 Hydraulics Dr. Mohammad N. Almasri [10] Channel Geometry

    "" #$.!$ 586