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Saluran Pengelak
# %&n &.&3 $oef. *annin" (untu$ tana! berpasir)
b / ! 5 (tabel De Voss)m 1.5 (tabel De Voss)V 0.7 (tabel De Voss)
+er!itun"an ,
%). - (b m!)! (3! %0'!)! 6.5). + b ! (m%)&.' 3.'! !()&0' 8.6056 !3). R - / + 0.7553 !1). # V-
%& ! 1.4825 m*a$a ,5). w = 1/3 * h
w = 0.4942 m
6). H = h w
H = 1.9767
7). !ek "l#ran
$r = &/") / g*h)0.5
$r = 0.2036 ' 1 al#ran (u kr##()
- 14.2857 m+ 12.7577 m '020 buat !itun"an sal. +en"ela$ R 1.1198 m b 7.4125 m
4 11.8600D 1.2045
m3/dt
!
&.'!
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+ael Perh#ungan ,em#r#ngan Sunga# "(l#
- Pak arak ea #ngg# Sle
% +% &.& .5% &.&& &.&&& /h
+ 21.&& .6&& &.% &.&&3 %&.&& '.&
3 +3 3.&& .2%' &.%5 &.&&6
1 +1 3.'& .'2& &.&' &.&&
' +' 1.&& .353 &.% &.&&1
2 +2 1.&& 2.562 &.1% &.&%
+ %.&& 2.62 &.%% &.&&'
6 +6 3&.'& 2.6 &.&5 &.&&3
5 +5 .&& 2.16 &.3' &.&%2
%& +%& %'.&& 2.%&' &.3 &.&
7umla! %'.' Rerata Slope &.&&6
m) (
%.%& &.&&&1
lea(#a(ar
&10
m3/)
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Penenuan ear ek# enung
8 9 b 8 p 8 St %&.1
9 98 (pembilas pilar) 8 pilar utama8 dindin" pena!an
8 9e 9 8 . (n.:p :a) . ;e %&.1 8 &.& ;e
aa:aa eren;anaan <
Den"an satu pintu pembilas
tama) .&&
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er;u enung +>e ?gee @
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Per(amaan enuk el#mah ?gee @ rumu( mer;u angka)
ke#(#en .&&&
ngk H &.6'&
*a$a 0.476 ngk I %.6'&
E 0.880
4iti$ aal melalui "radien ,
misal E 1
% 0.880
1.136
F 1.162
0.476
0.628
lea(# un;ak mer;u 0C813J0C458)
+er!itun"an beri$utnya ditabel$an ,
I G
&.%&& &.&&
&.&& &.&1&.3&& &.&'%
&.1&& &.&6
&.'&& &.%3
&.2&& &.%6'
&.&& &.12
&.6&& &.3%'
&.5&& &.35%
%.&&& &.12%.%2 &.26
F%.6' .& ;d&06'
F%06' .& ( &.5536 )&06'
F%06'
F&06'
F&06'
F&06'
(&06%3)%06'
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engkung e# #aa( enung
# .%
+er!itun"an selan?utnya ditabel$an ,
lea(# He m) e m)
5.&&& &.&& %&.1 &.&&&
5.%&& &.%& %&. &.&
5.&& &.& %&.& %.56
5.3&& &.3& %&.%6 3.23'
5.1&& &.1& %&.%2 '.'6'
5.'&& &.'& %&.%1 .5&
5.2&& &.2& %&.% %&.&
5.&& &.& %&.%& %.6'1
5.6&& &.6& %&.&6 %'.23
3&.&55 %.%& %&.& '.&5
mber , ;asil +er!itun"an
(. 506%.(3051 %0&3 8 B))^&0' 8 6 / (310'2. B))^&0' &Den"an cara coba8coba didapat$an nilai B u 0.29 m
( dlm m )
VB # / ( B. 9e) 8.68 m/dt
B VB / (".B)^&0' 5.17
Tinggi air sebelum loncatan :
0.29 m
Debit air persatuan lebar : qH # / 9 2.44
Pers. Utk menent. Tinggi loncatan air :
(%/((%(6033^))^&.' 8 ))/&05
1.962 m
Rumus & = ! B 2/3 B 2/3.g)0C5 B e B He1C5
(3103 8 &0& ;e) ;e%0'
& m3/)
%
B
m3/dt
/B %/((%(6r^))^&0' 8 %)
*a$a
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Perh#ungan lea(# er;u enung
elevasi dasar saluran 26.971
tin""i mu$a ir .&2
elevasi saa! tertin""i 27.500
ma$a ,
elevasi saa! tertin""i .'&&
tin""i air disaa! &.%&&
$e!ilan"an tin""i te$an dari tersier $e saa! &.%&&
$e!ilan"an tin""i te$an dari se$under $e tersier &.%&&
$e!ilan"an tin""i te$an dari primer $e se$under &.%&&
$e!ilan"an tin""i te$an $arena slope &.%'&
$e!ilan"an tin""i te$an $arena alat u$ur &.1&&
$e!ilan"an tin""i te$an dari sun"ai $e sal primer &.&&
persediaan te$anan $arena e$sploitasi &.%&&
persediaan te$anan ban"unan lain &.'&
elea(# mer;u enung 29.000
#ngg# enung 2.029
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dari p diu$ur &0' cm $e $anan $e $iri dpt selisi! nya &0''
"a$ ada $etetapan nya00 di lo"i$a..
Co ada di :+..
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>ntu$ "ambar desi"n mercu (arna biru dan $unin")
R% &.' ;d &.'33
7ara$ R% &.%' ;d &.%6R &. ;d &.%3
7ara$ R &.6 ;d &.3&%
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0.000 10.000 20.000 30.000 40.000 50.000 60.000
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
1.20engkung e# # aa( Pel#mah
& m3/ )
H e % m
)
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*Perh#ungan n;aan H#rl#(
VB ((.".(B ;e8B)^&0')
VB #/ (9.B)
?adi ((.".(B ;e8B)^&0') #/ (9.B)
rB VB / ((".B)^&0')
dimana,
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+ael Perh#ungan Sunga# en;ana engan (le ;a:;a
lea(# m m) H m) P m) m) m/)
(@lev n8 @lev n8%) (b ;) (b!) (- / +) (V -)
.5% %3.116 &.&&& &.&&& %3.116 &.&&& &.&&& &.&&&
6.1% %3.116 &.'&& 2.1 %1.116 &.12' &.1'' 3.&'5
6.5% %3.116 %.&&& %3.116 %'.116 &.6% &.25% 5.65
5.1% %3.116 %.'&& &.% %2.116 %.2 &.626 %.'%&
5.5% %3.116 .&&& 2.652 %.116 %.'1% %.&%% .%5%3&.1% %3.116 .'&& 33.2& %6.116 %.6 %.%3& 36.&&&.&&& %3.116 &.&&& &.&&& %3.116 &.&&& &.&&& &.&&&&.&&& %3.116 &.&&& &.&&& %3.116 &.&&& &.&&& &.&&&
Sumber : Hasil perhitungan
%. Slope y" di"una$an (coba8coba) 0.000450
4.875
3. engan (le ;a:;aC maka al#rann>a aa menLa# al#ran (u kr##( engan $r M 1
" m2) & m3/)
(Dr"ambar) lebar sun"ai
rencana(%/nR /3S%/)
. 7adi ut$ #'& %'02 m3/dt0 ma$a !
!rencana
K !asli
0 $arena brencana
L basli
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,anng umur
Pla era(# #nudata perencanaan ,
# inta$e 3.'&&B &.%' $e!ilan"an tin""i ener"i pada permu$an
&.6 $oefisien debit untu$ bu$aan baa! permu$aan air den"an $e!ilan"an ener"i $ecil
a &.' tinn"i bu$aan" 5.6%se!in""a # %0#inta$e
# 1.&&
3.&2&3&% b 2.%% m .'2&3&% '.%&2&35
7adi lebar bu$aan bersi! %05& m den"an tin""i bu$aan &.' me(a#n P#nu Pengura(
Di$eta!ui ,9 inta$e 2.%% m9 pembilas 3.2 m %.632%6&Direncana$an , %.'62%6& 3.%32%136
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e(a#n ,anng umurDi$eta!ui ,
#n 3.'&&Diameter butir &06 mm &.&&&6 m
#s Debit pembilas 1.&&&#men(# ,anng lumur
Selan" a$tu pembilasan (4) 1 min""u se$ali 6 !ari soal di format 3 min""u4 1%5&& deti$
*a$a Volume $anton" lumpur V 133.2ua( raa:raa ermukaan kanng lumur
0.007
*a$a
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,nrl <r L %
0.5** ) *S(:Sn)*2*
r &.221 M. L % (N: JJJJ) 4233.600 1854.531338 2379.0687PanLang kanng umur 4233.599995
265.512 m'&& MM.. b 5.376 m
53.&&6 m Oilai < diambil !ar"a rata8rata ,
< 35%.1 mse!in""a < / 9 330223/%055 '%63611 mMMK 6 (N: JJJ)Penge;ekan #(#en(# Pengenaan
Po (!nVn) / <Po &.&&%%3&653%P / o 2.%6556&'1P / Vo &.&*a$a dari "rafi$ camp (:+ & ban"unan >tama !al %'% ) diperole! efisiensi pen"endapan %&& Q
r Vs / ("!s)&.'
V ( &.'b<%) (&.'(Ss8Sn)<
%b)
15&&.2&1 (&.'%%06&'<%)(&.'(&0&&%'28&0&&&211')<
%%%06&'m)
den"an coba8coba diperole! nilai
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689.9462 m
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Perhitungan &e&.& C
31038&0& ;e 0C20*He) HeN1C5 ;e%&.1 %&.& &.%5''%'5 %.%'%216&1&3 1.0988
!asil 11.546189 11.546186
Perhitungan 'ilai () # '&
9e %&.& # '&
V &.5 Perh#ungan;d %.&221+/;d %.5& (o *konst+ ! 1., 31;e/;d %.&3& 88888888888K (1 *-P0/$9+ ! 1.000 %&.1+/;e %.6' 88888888888K ( *-P0/$"+ ! 0.980Cd %.;o %.'2'
*P r g+ ! #0.,"
&e
*P r g+ ! #0.,8$"712
3engkung Debit )i atas 4en)ung 2. 9C81.4.6 1.22GK))N0C5 : 42/ 18C42. GK) =0 2. 9C81.4.6 1.22GK))N0C5 : 42/ 18C42
%5.2&& %5.2&&3.%6 .5&6 0.3370190295 1.%6.3552 6.26&'
0.000
G2/Gu = 1/218*$rN2))N0C5 : 1)
>1/2 8&.%1321'2 Gu 0.2872912539>1N2/4 &.&&231& 1.917102 $r 5.170674
2.ON2 / g.>1 1.2&12 G2 1.9620587923.&2&16
.GK)
r er(
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e(a#n ,lam ?lakan
,ealaman ,nLuga(# n;aan a#r) PanLang n;aan H#rl#(
+d dsr !ilir0 ? 0.287 m
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Perh#ungan ak +enggelam1.96 m
+ 2.029 mA 1 m;e 1.10 m
9e 10.02 m# 25
1.27 m/dtH 2.44 m/dtRmin/!c 1.658
tin""i $ecepatan 0.0823394A; 2.08!c 0.85 mA;/!c 2.46 M..U 01ar# gamar gra#k 4.22 #erleh m#n/h; 1.65
Rmin 1.40 m
,ealaman a#r m#n#mum +m#n)
aa( m#n#mum #ngg# a#r h#l#r +m#n) #l#ha aa gamar 4.23
A;/!c M..U 014min/!c %0((A;/!c)^(&033))4min %.51 m
a &0% R dimana R didapat den"an meli!at "ambar a &.%1unuk enggamaran ak enggelam <
A;/!c 0' >S9R
A;/!c 2.46
kealaman knLuga(# ln;aan a#r)
1.96 m9e 10.02 m# 25 m3/dt
1.27 m/dt
2.04 m
anLang ln;aan h#rl#(
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eren;anaan (hee #le
kontrol dengan teori kosla direvisi pa$e s!eet pile yan" baru
#r( #le l#ne #le 1)
d %&.68%&%.6 8 (lantai dasar !ulu $e dasar s!eet pile) b 22.49 (?ara$ bendun") (dari !ulu sampai !ilir 8 endsill)
b% &.' (titi$ aal !ulu $e s!eet pile) b/d .6%% % 8 b%/b &.56 b%/b &.&
ma$a dari $urva , 1 Q alp!a sebela! $iri 00 (b/b% baa!) 32 Q alp!a sebela! $anan 00 (b/b% baa!) 36 Q alp!a sebela! $anan 00 (%8(b/b%) baa!)
$ore$si untu$ $etebalan lantait %&.68%&2.6 1.5$ore$si untu$
('& 8 '3)/2.' %.' :2.06 ()
$ore$si ter!adap pile c %5 (D/bE)^&0' (D d)/bW
den"an bE %.%%5 +an?an" +ile % $e b .15 %&.6d %&.68%&%.6 6.&& &D %&.38%&&.6 2.'& +an?an" lantai dasar apron sampai pile %
ma$ac .'16 ()
?adi $ore$si te$anan '3&02560&5 52.486 Q 32 Q 36 Q
#nerme#e #le l#ne #le 2)
d %&.68%&%.6 6.5 b .15
b %.2%5α = b/d 3.460 % 8 b%/b 0.217
b/b 0.783ma$a dari $urva ,
' Q alp!a sebela! $iri 00 (b/b% baa!) 1 Q alp!a sebela! $anan 00 (b/b% baa!) 1% Q alp!a sebela! $anan 00 (%8(b/b%) baa!)
$ore$si untu$ $etebalan lantait %&.38%&'.6 1.5$ore$si untu$ [(φ ∆2 − φ Χ2)/δ]τ $ore$si untu$ (f @ 8 f D)/dWt
(2&8)/2.1' %.1' ('&82&)/2/1'%.1' :2.31 () :0.231 ()
α
φ C%φ D%φ @%
φ C% [(φ D% 8 f C%)/dWt
φ C%φ D%φ @%
φ Cφ Dφ @
φ C φ @
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$ore$si ter!adap pile %c %5 (D/9E)^&0' (D d)/bW
den"an bE %.%%5 +ile $e 3 b .15d %&.68%&%.6 6.&&D %&.38%&&.6 2.'&
ma$ac 7.548 ()
$ore$si ter!adap pile 3c %5 (D/9E)^&0' (D d)/bW
den"an9E %.3 ?ara$ antar pile dan pile 3 b .15d %&.38%&&.6 2.'D %&2.6 8 %&.6 2.' ?ara$ antar lantai ola$ $e pile 3
ma$ac .52% () 13 O16 '
?adi $ore$si te$anan 1% ;16 22 3230&&6 '.2'3 Q 268'86.32% 33.26 Q
la( #le # wn(ream #le 3)
d %&2.6 8 %&.6 2.' b .15 b3 29.9911/α = d/b 0.289 α = 3.4600 % 8 b/b3 :0.334ma$a dari $urva b/b3 1.334
'1 Q %& Q
$ore$si untu$ $edalamant %&.38%&2.6 %.&5$ore$si untu$ (f @3 8 f D3)/dWt
('&86)/1W&.5' 8%%.'25 (8)
$ore$si ter!adap pile c %5 (D/9E)^&0' (D d)/bW
den"an %3.2&6 bE %.3 b .15d %36038%3103 2.' D %36038%3103 2.' ;6
ma$a 5%c .52% ()
?adi $ore$si te$anan @38@38c %3.2&6 Q
φ Cφ @
φ D3φ @3 %8'&%
φ @3
φ @3
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maB#mum er;la#n hea H = 1.9621 )
P#n Pre((ure Hea
C% '.162 %.&3&
@ 33.26 &.22%C '.2'3 %.%3%@3 %3.2&6 &.2
!ek unuk keealan lana#
4iti$ - "s +c% 8 (+c% 8 +e)/'0''.'W .% %.&58(%.&58&055)/'0''.'W &.5%%
den"an Gs 0 ma$a $etebalan lantai apron +a / (Gs 8 %) &.66
4iti$ 9 +c 8 (+c 8 +e3)/%1&.3W %.165 8 (%.1658.333)/%1&.3W %.%%2
den"an Gs 0 ma$a $etebalan lantai apron +b / (Gs 8 %) %.&%'
4iti$ C +c 8 (+c 8 +e3)/%102&.5W &053% 8 (&053%8&021')/%1.52'&.5W %.&26
den"an Gs 0 ma$a $etebalan lantai apron +c / (Gs 8 %) &.5%
+##k ,eealan
H#ung en;ana
- &.66 %0'M( aman JJJJ)9 %.&%' %0' M( aman JJJJ)C &.5% %0&5 M( aman JJJJ)
B# Tra#en
beda tin""i air %.52&'653d el.
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se!in""a .6%%'
9 pan?an" bendundari $urva eit "radien
&.
?adi G@
(0%%'/')&0 &.&22
amanMMMM.
α b/d &.1 / 1.5'
1 / (π √ λ)
(Η/δ)∗1 / (π √ λ)
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Perh#ungan #n#ng Penahan
25
Perh#ungan He
Cd (asumsi) 1.27sin 1&
S!" 6 .%2' (%&.1 8 &0& ;e) ;e%0'
11.5462
0.7632
Perh#ungan Penenuan n#la# ! di"anti nilai f di s!eet bab 3 masin"X.. =tun"1.27
1.30 sin di bab 3
10.092 Sin 36= &.'66''0.887 &.1%%' %.'66'
0.7231 &.'522.8061.055 88K C% %.&&&2.659 88K C &.56&1.274 (mende$ati Cd asumsi)
# !itun" %1.2%',e(#mulan = & h#ung D &ren;ana EEEEE."SFS@ ?, !HFG
+ ;d ! 2.752 m .335 &.5%32%'%/3! 0.917 m
; 5.169 m&02; 1.344 m 3.225
&01'; 2.197 m
menentu$an rembesan air pada tubu! dindin" pena!an ,d ((%/3);) % 2.723 m 2.723
1.148 m 1.148
Y 360.2596
:p 3.8518
#'
m3/dt
Rumus # %&& Cd /3 (/3.")&0' 9e ;e%0'
(310'2 8 &02 ;e) ;e%0'
D"n cara coba8coba didpt He
! %06113! ($onstanta) %. e 310'2 8 &02 ;e . #/- # / 9e. ( + ;e)
3. H ;e 8 (V
/ ") 1. P / H '. He/H 2. P / He . !
h#ung) Co C
% C
6. Rumus # !itun" Cd /3 (/3.")&0' 9e ;e%0'
%0 /3 (/3")&0' 31066 (%0&3)%0'
o (!d)&0' 8 d
:a (% 8 sin Y )/(% sin Y)
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Perh#ungan n#la# gammaf t" 32 &.
e (.Gs)/Sr Z Sr % (e.Sr)/Gs 0.1286
a$e $al$ulat ma$a. tana! pa$e "amma t1.8661 2.752
2.4409 5.550
0.556
1.4409
2.260
setela! di baa! mu$a air "amma sub
1.568
l
%.213.16'%.'
¥t ((%)/(%e)). ¥.Gs (dimana Gs diambildari besarna koe!isien antara 2"6#2"7$
¥t 3.727¥
¥sat ( ¥.(Gs%))/(%e)%0&.( ¥sub).:p
¥sub ¥sat 8 ¥ %.6.( ¥t).:a
1.1%( ¥sub):a
1.1%( ¥):a
( ¥)
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e(#gn #n#ng enahan
Dari "ambar dima$su$$an $e dalam tabel
+ael 3.11 Perh#ungan Ta>a er#kal
-a(#
.&&& 3.&& % .1&& .1&& %.2& .&&& 3'.'&
.%& '.3&& % %%.%3 .1&& 6.%%% %.%%& 3%.&3
%.1%& '.3&& &.' 3.3 .1&& 6.526 3.&&& 2.5&3
%.&& 1 &.'&& &.' &.3&& %.11% &.13 3.3& %.352 "amma sub
&.3&& %.&&& &.' &.%'& %.5&& &.6' .1&& &.261
%.&&& %.&& % %.&& %.5&& .6& 3.%&& .&26 "amma t
%.6&& %.1%& % .'36 %.5&& 1.6 3.&&& %1.12
%.3&& %.%& &.' %.%% .1&& .226 %.%&& .531
%.%& %.3&& &.' %.%% %.5&& .%% .&&& 1.1
&.'&& %.%& % &.6'' %.5&& %.2' %.1&& .1
%.6&& &.'&& % &.5&& .1&& .%2& &.3&& &.216
7umla! 71.222 127.321
" beton .1 ..
baa! air "amma sub %.11% (dari s!eet dindin" pena!an )
+ael 3.12 Perh#ungan Ta>a Hr#(nal Pa(# di atas air pa$e "amma t %.622 (dari s!eet dindin" pena!an)
P men +ahan m )
+ '.1&& '.3&& &.' %1.3%& %.6&& '.'6
+p '.2&& &.'&& &.' %.1&& &.&& &.6&
7umla! 15.710 26.038
+ael 3.13 Perh#ungan Ta>a Hr#(nal "k#
men +ahan m )
.2&& %.2&& &.' .&6& .&& %1.52
2.3&& %.2&& % %&.&6& 3.%& 3%.5'1
2.3&& .1&& &.' .'2& .%&& %'.62
2.3&& %.&& &.'&& '.3'' .%&& %%.12 a besar 8 se"iti"a $ecil
7umla! 25.075 74.051
+ael 3.14 +ekanan F:#
Pn men +ahan m )
3.2 % .&& %.6&& %.52&
'.3 3.2 &.' 5.'1& %.&& %%.116
7umla! %2.1& 1.1&6
Cd %.6
' .% (3103 8 &0& ;e) ;e%0'%%.'%&
He = 0.76320
%&.&12
&.65%
lume er meer m3)g/m3)
Ta>a)
enganm)
men +ahan.m)
%31'265%&%%
lume er meer m3)Ta>a er m
)engan
m)
Pan lume er meer m
3)Ta>a er m
)engan
m)
+a%+a+a3+a1
lume er meer m3
)Ta>a er m
)engan
m)
+v%+v
Rumus # Cd /3 (/3.")&0' 9e ;e%0'
(310'2 8 &02 ;e) ;e%0'
%. e 310'2 8 &02 ;e
. #/- # / 9e. ( + ;e)
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&.1' ; 2.409
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4abel 3.%'
Ta>a er#kal Ta>a Hr#(nal men +ahan men Tul#ng
%2.1& %. '.&' %'.%& %.3% 1.&'%
2.&36 1.1&6
%'3.3'5 56.1'5
'1.16 5.32' '1.5&&
Stabilitas ter!adap "ulin" %.''2 aman !HFG
Stabilitas ter!adap "eser 1.%55 aman !HFG
Stabilitas t!d daya du$un" tana! pondasi
tt$ $er?a %.&&
e$s 8&.53 L &.2&
te".ma %'.%31&3'.%%5&
.3&'8&.3&' 81.6'%&6
< dindin" 3.6
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:a &.2&:p 3.6'[t %.622
[sat .11%[sub %.11%
< 3.3%&
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V %5.13 2.'&&& 2.'&& &.&&& V asil +er!itun"an
7umla! %.&&& .3%& .13 %6.553 3.3'2 III 26.211
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43/88
men +ahan "k#a +uuh enung an Ta>a er#kal
-a(# lume er meer U Ta>a ) arak m) men +ahan
%.&&& %.'&& %.'&& .1 3.2&& %6.6%& 82.%2 8%
%.&&& 2.&&& 2.&&& .1 %1.1&& %'.3%& 8&.121 8%%.&&& .&&& .&&& .1 1.6&& %%.6%& 8'2.266 8%%.&&& 3.'&& 3.'&& .1 6.1&& %&.'2& 866.&1 8%1.2& 1.'&& &.'&& %&.35' .1 1.516 5.3& 83&.& 8%&.& &.12& &.'&& &.% .1 &.1' .11& 83.%2 8%1.&1& &.& 3.%%% .1 .122 .3%& 8'1.'2 8%1.&1& 1.&1& &.'&& 6.%2% .1 %5.'62 '.'& 8%&5.&51 8%.'& %.'&& 3.3' .1 6.%&& '.%6& 81%.5'6 8%%.%6& %.'&& %.& .1 1.16 3.1& 8%1.1% 8%%.'&& %.'&& &.'&& %.%' .1 .&& .36& 82.12 8%
.'2& %.'&& 3.61& .1 5.%2 .6& 8'.2& 8%&.'&& &.%& &.&2& .1 &.%11 %.11& 8&.& 8%&.'&& &.'&& &.'&& &.%' .1 &.3&& %.%& 8&.323 8%'.'&& %.&&& '.'&& .1 %3.&& %.'& %2.'&& %%.&&& %.'&& %.'&& .1 3.2&& &.'& 8.&& 8%%.&&& &.'&& &.'&& .1 %.&& 3.'&& 1.&& %&.35& &.&& &.'&& &.&35 .1 &.&51 3.& &.3'3 %&.%&& &.%5& &.&%5 .1 &.&12 3.5'& &.%6& %&.'&& &.'&& &.'&& &.%' 3.1 &.1' %6.%1& 8.%& 8%&.'&& &.'&& &.'&& &.%' 1.1 &.''& .63& %.'' %
1.'&& .&&& 3%.'&& %.& 3%.'&& %'.6%& 8156.&%' 8%1.2& 1.'&& &.'&& %&.35' %.& %&.35' %&.& 8%%%.5'1 8%7umla! 169.342 :1517.578
:uran" ?ara$ (dari titi$ tin?au $e titi$ berat masin"X ban"un)atau
(dari tiri$ berat $e "aris sebela! $iri ) mercu
G%
GG
3
G1
G'
G2
G
G6
G5
G%&
G%%
G%G
%3
G%1
G%'
G%2
G%
G%6
G%5
G&
G%
Pa%Pa
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men Tul#ng an Ta>a er#kal "k#a F:#
-a(# lume/m anLang U Ta>a ) arak m) men Tul#ng
98C +v% &.' ( '.156 '.36 ) %.&&& '.113 % '.113 %6.6%& %&.32D8@ +v &.' ( 1.& 1.%2 ) '.'&& 1.12 % 1.12 %'.35& 3'.5&58G +v3 &.' ( 1.66 1.2&' ) .&&& 5.133 % 5.133 %%.5& %%%.%3;8= +v1 &.' ( 3.% 3.&16 ) .&&& 2.3%6 % 2.3%6 5.& 2%.678: +v' &.' ( %.%3 %.131 ) .'&& 3.53' % 3.53' .1'& 5.3%3 +v%& &.' ( .%%3 .&& ) %.&&& .&' % .&' 3.'%& 8.%
7umla! 75.493 716.343
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Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
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%%%%%%%
%
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men +ahan "k#a +anah Pa(# an Ta>a Hr#(nal
-a(# lume/m anLang U Ta>a ) arak m) men +ahan
+p &.' :p [sub &.' ( 3.6' %.11% ) .65 6.&& 6.&& %.&& 86.'6 8%
+! &.' ( 1.& '.35& ) &.'&& .'6 % .'6 .& 8.&&% 8%+!1 &.' ( 3.& 1.2%& ) %.&&& 3.51& % 3.51& .'6& 8%&.%2' 8%+!' &.' ( %.%& 3.&'& ) %.&&& .36& % .36& 3.21& 86.223 8%+!5 &.' ( .&2& 3.35& ) %.&&& .' % .' &.2& 8%.25& 8%+!%% &.' ( %.&& .&&& ) %.&& % %.&& %.&&& 8%.&& 8%
7umla! 21.293 :37.801
+p 3.6' %.11% .65 %2.&1&33''6,eerangan <
-sumsi pusat perputaran momen pada titi$ $oordinat (&0&)
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
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!
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:ontrol ter!adap Stabilitas = 93.849 Sa#l#a( erhaa gul#ng = 1.90251 A 1C75 EEEE. aman
H = 9.115 Sa#l#a( erhaa ge(er = 8.04425 A 1C75 EEEE. aman = 1555.379 e = :3.79301 3.79301
g = 817.540 /6 = 3.88500
= 737.839 / = 4.02612
X1 Y 6 . 7C8470) / 21C821Z = 0.97632
(m#n = 0.095328324 = 0.095
(maB = 7.956915717 = 7.957
(2e)/< &.523'112 (8)$aren auntu$ penandaan ara! nya sa?a 82.'11'
1.3&% 61.31< 3.3%
&.2' dari mana\ Di tumus mencari "eser v/< itu yan" < nya di"anti a masss\\\
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men +ahan "k#a +uuh enung an Ta>a er#kal
-a(# lume er meer U Ta>a ) arak m) men +ahan
G% %.&&& %.'&& %.'&& .1 3.2&& %6.6%& 82.%2 8%G %.&&& 2.&&& 2.&&& .1 %1.1&& %'.3%& 8&.121 8%G3 %.&&& .&&& .&&& .1 1.6&& %%.6%& 8'2.266 8%G1 %.&&& 3.'&& 3.'&& .1 6.1&& %&.'2& 866.&1 8%G' 1.2& 1.'&& &.' %&.35' .1 1.516 5.3& 83&.& 8%G2 &.& &.12& &.' &.% .1 &.1' .11& 83.%2 8%G 1.&1& &.& 3.%%% .1 .122 .3%& 8'1.'2 8%G6 1.&1& 1.&1& &.' 6.%2% .1 %5.'62 '.'& 8%&5.&51 8%G5 .'& %.'&& 3.3' .1 6.%&& '.%6& 81%.5'6 8%G%& %.%6& %.'&& %.& .1 1.16 3.1& 8%1.1% 8%
G%% %.'&& %.'&& &.' %.%' .1 .&& .36& 82.12 8%G% .'2& %.'&& 3.61& .1 5.%2 .6& 8'.2& 8%G%3 &.'&& &.%& &.&2& .1 &.%11 %.11& 8&.& 8%G%1 &.'&& &.'&& &.' &.%' .1 &.3&& %.%& 8&.323 8%G%' '.'&& %.&&& '.'&& .1 %3.&& %.'& %2.'&& %G%2 %.&&& %.'&& %.'&& .1 3.2&& &.'& 8.&& 8%G% %.&&& &.'&& &.'&& .1 %.&& 3.'&& 1.&& %G%6 &.35& &.&& &.' &.&35 .1 &.&51 3.& &.3'3 %G%5 &.%&& &.%5& &.&%5 .1 &.&12 3.5'& &.%6& %G& &.'&& &.'&& &.' &.%' 3.1 &.1' %6.%1& 8.%& 8%G% &.'&& &.'&& &.' &.%' 1.1 &.''& .63& %.'' %Pa% 1.'&& .&&& 3%.'&& %.& 3%.'&& %'.6%& 8156.&%' 8%
Pa 1.2& 1.'&& &.' %&.35' %.& %&.35' %&.& 8%%%.5'1 8%%25.31 8%'%.'6
-sumsi pusat perputaran momen pada titi$ $oordinat (&0&)
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
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67/88
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+ael 5.9.men Tul#ng an Ta>a er#kal "k#a F:#
-a(# lume/m anLang U Ta>a ) arak m) men Tul#ng
+v% &.' ( '.156 '.36 ) %.&&& '.113 % '.113 %6.6%& %&.32 %+v &.' ( 1.& 1.%2 ) '.'&& 1.12 % 1.12 %'.35& 3'.5&5 %+v3 &.' ( 1.66 1.2&' ) .&&& 5.133 % 5.133 %%.5& %%%.%3 %+v1 &.' ( 3.% 3.&16 ) .&&& 2.3%6 % 2.3%6 5.& 2%.6 %+v' &.' ( %.%3 %.131 ) .'&& 3.53' % 3.53' .1'& 5.3%3 %+v2 &.' ( .133 .%6 ) .'& '.%5 % '.%5 '.%& 2.'6 %+v &.' ( 3.%6& .65' ) .'1& .%2 % .%2 .& &.56 %+v6 &.' ( 3.'2% 3.353 ) %.'&& '.%2 % '.%2 &.3& 3.6& %+v5 &.' ( .&'5 %.6& ) 3.&&& '.'5 % '.'5 %.1'& 86.3'& 8%+v%& &.' ( .%%3 .&& ) %.&&& .&' % .&' 3.'%& 8.% 8%
'.153 %2.313
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Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
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+ael 5.9.men Tul#ng "k#a +ekanan "#r an Ta>a Hr#Knal
-a(# lume/m anLang U Ta>a ) arak m) men Tul#ng
+!% &.' ( %.'&& '.'&& ) 1.%' % 1.%' 3.&&& %.3' %+!3 &.' ( 1.%2& 1.63& ) %.&&& 1.15' % 1.15' .'1& %%.1% %+!2 &.' ( %.13& .13& ) %.'&& .65' % .65' 3.11& 5.5'5 %+! &.' ( .%6& 3.%6& ) %.'&& 1.&& % 1.&& %.65& .'56 %+!6 &.' ( .5&& 3.'2& ) %.&&& 3.3& % 3.3& &.''& %. %+!%& &.' ( %.6& .%%& ) &.'&& &.53 % &.53 &.& &.15 %
+a &.' :a [t ! % %&.' &.2& %.622 .'& &.'1' % &.'1' 3.&&& %.23'
+ &.' [ ! % %&.' %.&&& &.'& %&.%' % %&.%' '.'&& ''.266&.' [t :a % %
&.' %.622% &.' &.2& 1.5&' % 1.5&' '.'&& 2.56&35.313 128.176%.%2
,eerangan <
-sumsi pusat perputaran momen pada titi$ $oordinat (&0&)
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
.'&%65
3.'%Pa = ,a . V . h2 W . ,a . V . H2
P = 0C5 . V . !e
Pw = 0C5 B Uw B )2P( = 0C5. V(a : Vw). !( . H2
+s !
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71/88
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men +ahan "k#a +anah Pa(# an Ta>a Hr#(nal
-a(# lume/m anLang U Ta>a ) arak m) men +ahan
+p &.' :p [sub &.' ( 3.6' %.11% ) .65 6.&& 6.&& %.&& 86.'6 8%
+! &.' ( 1.& '.35& ) &.'&& .'6 % .'6 .& 8.&&% 8%+!1 &.' ( 3.& 1.2%& ) %.&&& 3.51& % 3.51& .'6& 8%&.%2' 8%+!' &.' ( %.%& 3.&'& ) %.&&& .36& % .36& 3.21& 86.223 8%+!5 &.' ( .&2& 3.35& ) %.&&& .3 % .' &.2& 8%.25& 8%+!%% &.' ( %.&& .&&& ) %.&& % %.&& %.&&& 8%.&& 8%
21.293 :37.801 &
,eerangan <
-sumsi pusat perputaran momen pada titi$ $oordinat (&0&)
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
!
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= 93.849 Sa#l#a( erhaa gul#ng = 1.84173 A 1C75 EEE amanH = 14.020 Sa#l#a( erhaa ge(er = 5.22974 A 1C75 EEE aman = 1555.379 e = :4.08049 4.08049
g = 844.520 /6 = 3.88500
= 710.859 / = 4.02612
X1 Y 6 . 8C0234) / 21C821Z = 1.05032
(m#n = :0.20259247 = :0.202592
(maB = 8.25483651 = 8.254837
(2e)/< %.&'&3%5'&183.511633'
< 3.3% 5.65
1.&3
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&.'5
9li"!C < .26
;
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:2 &.1' &.&21 1.%5 8&.2%321 8%B : .122 %.%& 8.2%32 8%
:6 %5.'62 .536 %.3' 83.522%166 8%-E :5 6.%&& %.%' &.' 8&.5%%' 8%
:%& 1.16 &.23 .' 8%.133 8%9E :%% .&& &.1&' 8&.6% 8%
:% 5.%2 %.36 &.' 8%.&326 8%CE :%3 &.%11 &.& .' 8&.&162 8%
:%1 &.3&& &.&1' .% 8&.&52' 8%DE :%' %3.&& %.56& &.' &.55 %
:%2 3.2&& &.'1& &.' 8&. 8%@E :% %.&& &.%6& &.' &.&1' %
:%6 &.&51 &.&%1 %.' &.&&16 %:%5 &.&12 &.&& %.2 &.&%&511 %:& &.3&& &.&1' &.% 8&.&&2' 8%:% &.3&& &.&1' &.% 8&.&&2' 8%
%5.&2&6% 8%6.%35&31
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men Tul#ng "k#a +ekanan "#r an Ta>a Hr#Knal
-a(# lume/m anLang U Ta>a ) arak m) men Tul#ng
+!% &.' ( %.'&& 2.%55 ) 1.215 % 1.215 3.&&& %3.51 %+!3 &.' ( 1.& '.35& ) %.&&& '.&6& % '.&6& .'3& %.6' %+!2 &.' ( %.61& .6& ) %.'&& 3.12' % 3.12' 3.1&& %%.6% %+! &.' ( .'&& 3.11& ) %.'&& 1.1'' % 1.1'' %.6& 6.33% %+!6 &.' ( 3.%& 3.1& ) %.&&& 3.13& % 3.13& &.''& %.66 %
+!%& &.' ( %.6& .%5& ) &.'&& %.&%' % %.&%' &.& &.6 %&.' :a [t &.' &.2& %.622 .' &.'1' &.'1' 3.&&& %.23' %&.' [ &.' %.&&& &.' %&.%' %&.%' '.'&& ''.266 %&.' [t :a&.' %.622% &.' &.2& 1.5&' 1.5&' '.'&& 2.56& %
[ :!% .22 &. '.'3% '.'3% '.'& 3%.6&2 %
7umla! 43.201 165.687
,eerangan <
-sumsi pusat perputaran momen pad '.366
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
&.2.&%Pa = ,a . V . h2 W . ,a . V . H2
P = 0C5 . V . !ePw = 0C5 B Uw B )2P( = 0C5. V(a : Vw). !( . H2
+a !
+ !
+s !
+d !
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men +ahan "k#a +anah Pa(# an Ta>a Hr#(nal
-a(# lume/m anLang U Ta>a ) arak m) men +ahan
+p &.' :p [sub &.' ( 3.6' %.11% ) .65 6.&& 6.&& %.&& 86.'6 8%
+! &.' ( '.35& 2.&& ) &.'&& .62' % .62' .2& 8.5& 8%+!1 &.' ( 3.& '.%1& ) %.&&& 1.1'' % 1.1'' .'6& 8%%.151 8%+!' &.' ( .%'& 3.'& ) %.&&& .63' % .63' 3.2& 8%&.23 8%+!5 &.' ( .%6& 3.'2& ) %.&&& .6& % .6 &.2& 8%.5 8%+!%% &.' ( %.&& .&2& ) %.'% % %.'% %.&2& 8%.6'2 8%
7umla! 22.796 :41.881
,eerangan <
-sumsi pusat perputaran momen pada titi$ $oordinat (&0&)
Gaya yan" seara! ?arum ?am ter!adap titi$ (&0&) dian""ap ()
Gaya yan" berlaanan ara! ?arum ?am ter!adap titi$ (&0&) dian""ap (8)
!
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= 100.344 Sa#l#a( erhaa gul#ng = 1.41796 A 1C25 EEE amanH = 39.466 Sa#l#a( erhaa ge(er = 0.00000 A 1C75 EEE #ak aman = 1415.976 e = :7.49554 7.49554
g = 998.598 /6 = 3.88500
= 417.378 / = 4.30477
X1 Y 6 . 8C8355) / 21C821Z = 1.92935
(m#n = :4.00065 = :4.00065
(maB = 12.61019 = 12.61019
(2e)/< %.553'6%%.'
1.'55 2&.65< 3.3%
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