Tugas 6 Hidrolika
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7/23/2019 Tugas 6 Hidrolika
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HIDROLIKA
TUGAS 6
ALIRAN PERMANEN MELALUI PIPA
Oleh
1. Petrus P. Mangun (11 1 !"#$
. Al%re& Mangun')a*a (11 1 !+#$". ,ulus K. -ra (11 1 !#$
+. Masr ,. -ala/ (11 1 !0$
#. Gau&ensa O. Ua (11 1 !#$
6. Natala E.P.A.M Taslulu (11 1 1!1$
. Al%/nsa L. Ta2ung (11 1 11+$
UNI3ERSITAS KATOLIK
4ID,A MANDIRA
KUPANG
5AKULTAS TEKNIK
URUSAN TEKNIK SIPIL
1. D2etahu 7 H 8 1! 9
L1 8 1!! 9
D1 8 #!99 8 !:!#9
1 | H i d r o l i k a
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%18% 8 !:!"
L 8 1!! 9
D 8 1!!99 8 !:1 9
L" 8 6#! 9
D" 8 !:"# 9
8 !:0 ; 1! 1&an >?
@. D ?
Pen*elesaan 7
Persa9aan 2/ntnutas 7 > 8 >1 >8 >"Bersa9aan energ 7 Hs8 h%18 h%8 h%"2ehlangan tenaga Ba&a BBa 1: : &an " &htung &engan ru9us DarC* 8A
2V
2 8
4 ; 0,22
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>" 8A
3V
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De@t alran t/tal 7> 8 >1 > >" 8 !:166 !:!#0+ !:"6 8 !:+6!6 9"=&
. D2etahu 7 H 8 1! 9 L8 1!! 9
L1 8 1!! 9 D8 1!! 99 8 !:1 9
D1 8 #! 99 8 !:!# 9 % 8 !:!"
%1 8 !:!"
Dtan*a 7 a$ >1&an >?
@$ D8? -la L8 1!! 9
Pen*elesaan 7
> 8 >1 >a$ PBa Baralel
Kehlangan tenaga 9elalu BBa 1 &an a&alah sa9a
H 8 h%1 h%8 1! 9
h%18
8 f1L
1
g 2D
1
5Q
1
2
h%8
8 f2L
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2
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1! 88.0,032.100
9,81.3,142
.0,055Q
1
2
1! 88.0,032.100
9,81.3,142.0,1
5Q
2
2
1! 825,6Q 1
2
3,02x105 1! 8
25,6Q22
9,67x104
Q12
8 1,18x105
Q22
8 3,77x104
Q1 8 1:!;1! 8 >1 >> 8 :!+;1!
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D 8 !:6+ 9
D 8 6+ 99
a&: &a9eter BBa a&alah 6+ 99
". D2etahu 7 D18 &D8 &
D"8 "&
L1 8 L 8 L" 8 L
%18 %8 %"8 %
>18 !:# 9"=&et
Dtan*a 7 >&an >"?
Pen*elesaan 7
Persa9aan energ 7
H 8 h%18 h%8 h%"8 f
1L
1
g 2D
1
5Q
1
2
88 f
2L
2
g 2D
2
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88 f
3L
3
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3
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D1
5 8Q2
2
D2
5 8Q3
2
D3
5
>&an >"&aBat &htung &engan 7
Q12
D1
5 8Q2
2
D2
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2.2d
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D2
5 8Q3
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5 2
2d5 8
Q32
3d5 Q3
2
8 (2.3d
5
2d5 )
Q32
82.243
32
Q3
2
815,1875
Q3 8 ":0 9"=&et
+. D2etahu 7 H 8 1 9
L18 ": 29 8 "!! 9 L8 0!! 9
D18 "! C9 8 !:" 9 D8 ! C9 8 !: 9
% 1 8 !:!1 % 8 !:!1
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Dtan*a 7 >1: >: >"Pen*elesaan 7
K/n&s 1
Kehlangan tenaga 9elalu BBa
H 8 h% h% 88 fL
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K/n&s
Ru9us 2ehlangan tenaga 2arena gese2an
h% 88 fL
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Kehlangan tenaga Ba&a 9asng" 8 !:"6 >
Persa9aan 2/ntnutas & tt2 Ca@ang
6 | H i d r o l i k a
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>18 > >" ............pers 4$
su@sttus Bersa9aan " 2e &ala9 Bersa9aan +
>18 > >">18 > !:"6 >>18 1:"6 >> 8 !:"" >1
Su@sttus Bersa9aan " & atas 2e &ala9 Bersa9aan 1
1 8 016:!60 Q12
:!" (0,7337)Q12
Q1 8 !:11166 9"=&et
De@t 9elalu BBa &htung @er&asar2an Bersa9aan 2/ntnutas
>18 > >" !:11166 8 > !:"6 >> 8 !:!01" 9
"=&et
De@t 9elalu BBa " &htung &engan Bersa9aan "
>"8 !:"6 >
8 !:"6 ; !:!01"
8 !:!" 9"=&et
#. D2etahu 7 L1 8 16 29 8 16.!!! 9 D1 8 "! C9 8 !:" 9 %1 8 !:!1#
L 8 1! 29 8 1!.!!! 9 D 8 :# C9 8 !:# 9 % 8 !:!1#
L" 8 0 29 8 0.!!! 9 D" 8 1# C9 8 !:1# 9 %" 8 !:!1#
Dtan*a 7 > ?
Pen*elesaan 7
Htungan &la2u2an &engan Cara C/@a @an&ng. Perta9a 2al &tetaB2an tngg
te2anan Ba&a tt2 Ca@ang: &an &htung &e@t alran 9elalu 9asng
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h%18 A hD8 1!! +! 8 6! 9
6! 88.0,04.16000
g 2(0,3)5
Q12
8 161:0 Q12
Q1=0,05251m
3
d
Untu2 BBa 7h%8 hD -8 +! "! 8 1! 9
1! 88.0,04.10000
g2(0,225)5
Q2
2
8 #"1# Q22
Q2=0,01321m
3
d
Untu2 BBa " 7
h%"8 hD8 +! 9
+! 88.0,04.8000
g 2(0,15)5
Q3
2
8 "+0100: Q32
Q3=0,01072m
3
d
heC2 7
> 8 >1 < (> >"$ 80,05251
@elu9 9en&e2at n/l @erart &e@t alran *ag &Ber/leh @elu9
@enar. Htungan &la2u2an lag &engan Br/se&ur seBert & atas. D9sal2an
eleJas gars te2anan & D a&alah hD 8 6! 9
Percobaan ke
hD 8 6! 9
h%18 1!! 6! 8 +! 9 8 161:0Q1
2
Q1=0,04297m
3
d
h%8 6! < "! 8 "! 9 8 #"1#Q2
2
Q2=0,02289m
3
d
h%"8 hD 8 6! 9 8 "+0100: Q32
Q3=0,01313m
3
d
heC2 7
> 8 >1 < (> >"$ 80,04297
1 8 !:!"0" !:!!!6 8 !:!"16m
3
d
hf1=21761,8 (0,03916 )=33,37m
h f2=33,63=57,315Q22
Q2=0,02528m
3
d
hf3=66,63=348188,9 Q32
Q3=0,01383m
3
d
heC2 7
> 8 >1 < (> >"$ 8 !:!"16 18 1:1 ; !:!+0 8 !:1!1" 9"=&et
Kehlangan tenaga Ba&a Bengalran &ar 2/la9 A 9enu)u - a&alah 7
h%1 h%8 1# . . . . Bers 1$
h%1 h%"8 1# . . . . Bers $
h%1 h%+8 1# . . . . Bers "$
Dengan 9engguna2an 2etga Bersa9aan & atas: &e@t 9elalu BBa : ": &an +
&aBat &htung 7
Dar Bersa9aan 18.0,015.100
9,81.3,1420,2
5(0,10173)2
8.0,02.125
9,81.3,1420,15
5Q
2
2
8 1# Q2 8 !:!6"# 9"=&et
Dar Bersa9aan
+:!!0"
8.0,015.130
9,81.3,142
0,15Q3
2
8 1# Q
3
8 !:!61 9"
=&et
De@t alran 9elalu BBa +7
>+8 >1 > >"8 !:1!1" < !:!6"# < !:!61
8 !:!1!+ 9"=&et
Dar Bersa9aan "
+:!!0" 8.0,015.140
9,81.3,142D4
5(0,01204)2
8 1#
D4 8 !:!+ 9 8 !:!# 9
a&: &a9eter BBa a&alah :# C9
. D2etahu 7 D18 !:! 9 L8 1#! 9 L"8 1#! 9
L18 !! 9 D8 !:# 9 D"8 !:! 9
%18 !:!1# % 8 !:! % " 8 !:!1#
H 8 1# 9
Dtan*a 7 > 9asng
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h%18
8 f1L
1
g 2D
1
5Q
1
2
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8 f2L
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2
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3
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1# 88.0,015.200
9,81.3,1420,20
5Q
1
2
1# 88.0,02.150
9,81.3,1420,15
5Q
2
2
1# 8
8.0,015.150
9,81.3,1420,20
5Q
3
2
1# 8
24
0,03
Q12
1# 8
24
7,34x 103
Q2
2
1# 8
18
0,03Q3
2
Q1 8 !:1"6 9"=&et
Q2 8 :1+ ; 10
3
9"=&et Q
3 8 !:1#0
9"=&et
Q1 8 Q2 Q3 8 !:16!1+ 9"=&et
h%18
8 f1L
1
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2
88.0,015.200
9,81.3,1420,20
50,16014
2
8 !:#
P 8 h.
8 !:#.1!!! 8 !#! hB
0. D2etahu 7
. D2etahu 7 L1 8 ":! 29 D1 8 "! C9 %1 8 !:!1#
L 8 :# 29 D 8 # C9 % 8 !:!1#
L" 8 +:! 29 D" 8 +# C9 %" 8 !:!1#
Dtan*a 7>: PT?
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Pen*elesaan 7
Kehlangan tenaga 2arena gese2an 7 h% 88 fL
g 2D
5Q
2
Kehlangan tenaga Ba&a BBa 1 &an 7
h%1 h%"8 6!
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Q1 8
4512
1530,127 8 !:1+606 9"=&
Q2 8
5512
3172,8713 8 !:116+1 9"=&
Q3 8
12
268,66427 8 !:11"+ 9"=&
heC2 Bersa9aan 2/ntnutas 7
> 8 >1 > < >" 8 !:1+606 !:116+1 < !:11"+ 8 !:!#1"
Kesalahan 7
8 Q
Qterkecil ; 1!!
8 ++:6 #
Pe9salan II 7 h%"8 1+ 9
Q1 8
4514
1530,127 8 !:1+"+ 9"=&
Q2 8
5514
3172,8713 8 !:11"60 9"=&
Q3 8
14
268,66427 8 !:00 9"=&
heC2 Bersa9aan 2/ntnutas 7> 8 >1 > >" 8 !:1+"+ !:11"60 !:00 8 !:!+
Kesalahan 7
8 Q
Qterkecil ; 1!!
8 +:+ #
Htungan selan)utn*a &la2u2an &engan 9enetaB2an nla h%"@er&asar2an hasl
2e&ua Be9salan se@elu9n*a.
Pe9salan III 7 nla h%" &aBat &engan nterB/las &ar hasl htunganse@elu9n*a: *atu @er&ara2an hu@ungan antara > &an h%"
x
x+2 80,02774
0,05193 ; 8 :+
Pe9salan h%"selan)utn*a a&alah 7
h%" 8 1+ :+ 8 16:+
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&engan Cara *ang sa9a Ba&a htungan se@elu9n*a: &e@t alran 9elalu
9asng
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h %8 h%A- h%-
88.0,02.300
2.9,81.(0,3)5
(0,14)2
8.0,02.600
2.9,81.(0,3)5
(0,14)2
8 11:6 9 1 9
Tngg tenaga t/tal 7H 8 h h %8 1 1 8 + 9
Da*a B/9Ba 7
P 8Qh
75 80,14.24.1000
75 8 ++:0 hB
11.Pen*elesaan 7
K/n&s I 7 2ran &tutuB
Kara2terst2 BBa 7
L 8 6!!! 9D 8 !: 9
H 8 "! 9
% 8 !:!!6
Kehlangan tenaga 7
hf= 8 fL
g 2D
5Q
2
30=8.0,006.6000
9,81.2(0,7)5
Q2
> 8 1:"!1# 9"=&
K/n&s II 7 2ran & tengah Ban)ang BBa &@u2a &engan &e@t !:1# 9"=&
De@t BBa AD 7 >AD8 > !:1#
De@t BBa D- 7 >D-8 >
Kehlangan tenaga 7
h%1 h%8 "!8 f
1L
1
g 2D
1
5(Q+0,15)2
8 f
2L
2
g 2D
2
5Q
2
8 "!
sifat pipa 1da!2adalah sama, sehi!gga
(Q+0,15)[2+Q2]
8 fL
g 2D
5
8 "!
8.0,006.3000
g 2(0,7)5 (
Q2+0,3Q+0,0225+Q2=30
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Q2+0,15Q1,68382=0 > 8 1:+0 9"=&
a& &e@t alran t/tal 9elalu BBa a&alah 7
>AD8 1:+0 !:1# 8 1:"+0 9"=&
>D-8 1:+0 9"=&
1.D2etahu 7 L18 "!! 9 D18 1:! 9 %18 !:!
L8 "!! 9 D8 !:# 9 %8 !:!#
L"8 +!! 9 D"8 !:+ 9 %"8 !:!
L+8 6!! 9 D+8 !:6 9 %+8 !:!10
Dtan*a 7 > & tt2 :D E ?
Pen*elesaan 7
Persa9aan 2/ntnutas & tt2 -7
>1 8 > >" >+ (1$
Persa9aan energ 7
PBa 1+.Pe9salan I 7 >1 8 1:# 9"=&
Dar Bersa9aan ($: ("$: &an (+$ &aBat &htung &e@t alran >: >" &an >+ 7
!:+#0 (1,5)2=19,8304Q2
2
8 0! Q2 8 1:+# 9"=&
!:+#0 (1,5)2+71,0075Q3
2
8 0# Q
3 8 1:!06 9"=&
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!:+#0 (1,5)2+11,476Q4
2
8 ! Q
4 8 :0"! 9"=&
heC2 Bersa9aan 2/ntnutas 7
> 8 >1 (> >" >+$
8 1:# (1:+# < 1:!06 < :0"!$ 8 :>": &an >+ &htung &engan Cara *ang sa9a &engan Ba&a
Be9salan Berta9a: &an hasln*a a&alah 7Q
2 8 1:0+6+ 9"=&
Q3 8 1:!11 9"=&
Q4 8 :6!!# 9"=&
heC2 Bersa9aan 2/ntnutas 7
> 8 # (1:0+6+ 1:!11 :6!!#$ 8
8 0,45811,0112 ; 1!! 8 +#:" #
Qterkecil
Be9salan selan)utn*a &engan 9engguna2an gra%2 hu@ungan antara >1 &an>
x
3,5+x=
0,4581
4,3644 ; 8 !:+1!#
Q1 8 # !:+1!# 8 #:+1!# 9"=&
Dengan 9engetahu &e@t >1: 9a2a &e@t 9elalu BBa *ang lan &aBat &htung
&engan Cara seBert Ba&a Be9salan se@elu9n*a: &an hasln*a a&alah 7Q
2 8 1:01 9"=&
Q3 8 !:6" 9"=&
Q4 8 :#6+ 9"=&
heC2 Bersa9aan 2/ntnutas 7
> 8 #:+1!# (1:01 !:6" :#6+$ 8 !:!""
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8 0,0323
0,9963 ; 1!! 8 ":+ # Qterkecil
a& 7Q1=5,4105
m3
d ; Q2 8 1:01 9"=&
Q3 8 !:6" 9"=&
Q4 8
:#6+ 9"=&
1".D2 7 2araterst2 BBa 7
PBa 1 7L
1=300m :D
1=1,0m k
1=0,2mm=0,0002
PBa 7L
2=400m :D
2=0,4mk
1=0,2mm=0,0002
PBa " 7L
3=600:D
3=0,6 mk
1=0,2mm=0,0002
a'a@ 7
Che2 Bersa9aan 2/ntnutas 7 " Q=0,001# $=0,08
Karena 2esalahan su&ah 2eCl 9a2a htungan &hent2an &an hasln*a a&alah
Q1=4,075m3/d ,Q 2=1,202m
3/d , Q3=2,874m3/d
20 | H i d r o l i k a