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TUGAS TERSTRUKTUR
PERANCANGAN GEOMETRIK
JALAN RAYA
Disusun Oleh:
SUHERMAN/ 1987 TS
PROGRAM STUDI TEKNIK SIPIL
FAKULTAS TEKNIK
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UNIVERSITAS WIJAYAKUSUMA
PURWOKERTO
TAHUN 2010
LEMBAR PENGESAHAN
Sebagai usaha untuk mengikuti ujian utama semester ganjil
tahun Akademik !!"#!$! %akultas &eknik 'ni(ersitas
)ija*akusuma Pur+,kert,- maka sa*a telah berhasil
men*elesaikan dan men*usun tugas :
.PERAN/ANGAN GEOME&R01 2ALAN RA3A4
&ugas ini telah disetujui 5ada :
Hari : 666666666666666666666666666666666666
&anggal : 666666666666666666666666666666666666
Pur+,kert,-
!$!
Asisten D,sen
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D+i Sri )i*anti- S&6
PRODI TEKNIK SIPIL FAKULTAS TEKNIKUNIVERSITAS WIJAYAKUSUMA
PURWOKERTO
LEMBAR ASISTENSI
TUGAS TERSTRUKTUR
PERANCANGAN GEOMETRIK JALAN RAYA
NAMA :Suherman NPM : $"78
N
T!"##!$ U%!&!"/ D'()%&*(& T!"+!
T!"#!"
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Asisten D,sen
D+i Sri )i*anti-
S&6
A. PERHITUNGAN PERBEDAAN SUDUT TANGEN
1, P%-')(& .&.&) CD +!" E .'%!+!* (3 4 +!" Y
5+!%& #!3!% (&.!(&6
1,,rdinat titik B 9$$! !!;
B/< = -> ?m @ $!!! B/4 = "-> ?m @ $!!!
= >!! ?m = ">!! ?m
= > m = ">m
BD< = 9"-8 >-; @ $!!! BD4 = $!- ?m @ $!!!
= $$!! ?m = $!!! ?m
= $$ m = $! m
BE< = 9-"-8->; ?m @ $!!! BE4 = -?m @ $!!!
= $>8!! ?m = !! ?m
= $>8 m = m
2, M'"#&."# A3(&( +!" O%+&"!.
Absis / = absis B B/< Ordinat B = Ordinat B
B/4
= $$! ?m >?m = !! ?m C ">
?m
= $> m =$! m
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Jadi- k,,rdinat titik B 9$> $!;
Absis D = absis B BD< Ordinat / = Ordinat B
BD4
= $$! ?m $$ ?m = !! ?m C $!
?m
= $$ m = !"7 m
Jadi- k,,rdinat titik D 9$$ !"7;
Absis E = absis B BE< Ordinat D = Ordinat B
BE4
= $$! ?m $>8 ?m = !! ?m C
?m
=$8 m = $87 m
Jadi- k,,rdinat titik E 9$8 $87;
, M'"#&."# J!%!) 2 T&.&)
2arak B/-BD-dan BE
Formula:
d$ =2
12
2
12 )()( yyxx +
d$ =22)()( yx +
2arak dB/ =
xxB
Cy ByC
=
123412102+(21062200)
= "8-!$ m
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2arak dBD =
xxB
D
yByD
=
13311210 2+(20982200)
= $7- m
2arak dBE =
xxB
EyB
yE
=13571210
2
+(21782200)
= $>7-8 m
, P'%&."#!" S+. T!"#'"
Sudut &angen B/ 9 FB/;
F = tan1 xy
= tan1 (XCXByCyB)
= tan1 ( 1234121021062200 )
F = $>-,
1arena terletak 5ada kuadran l- maka FB/
= "! C $- = 8-8
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Sudut &angen /D 9 F/D;
F = tan
1
x
y
= tan1 (XDXCyDyC)
= tan1 ( 1331121020982016 )
F = 7-$8,
1arena terletak 5ada kuadran l- maka F/D
= "! C 7-$8 = -87
Sudut &angen DE 9 FDE;
F = tan1 x
y
= tan1 (XEXDyEyD)
= tan1 ( 1357133121782098 )
F =$7-!!>,
1arena terletak 5ada kuadran l- maka FDE
= "! C $7-!!> = 8$-""
, P'%&."#!" S+. T!"#'"
B/ = |CDBC|
= |3,78375,667 |
= 8$-77> ,
BD = |CECD|
= |71,996 3,783|
= 7-$
&abel6 $ 1,,rdinat 2arak dan Sudut
&itik 1,,rdinat 9@-*;2arak
9m;F 9C ,; Stati,ning
B 9$$! !!; >!!
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"8-!$ 8-8
/ 9$> $!; 8$-77>
>"8-!$
$7-8" -87,D 9$$ !"7; 7-
$ -7!
$>7-8 8$-"",
E 9$8 $87; 7!>->>
B, PERHITUNGAN LENGKUNG HORISONTAL
$6 Data lengkung Landai Relati dan Diagram Su5er Ele(asi
a6 Perhitungan Data Lengkung di titik /
a;6 Perhitungan data lengkung
Diketahui =I J = 7! km#jam
emaks = 7 K
B = 8$-77>,
Lebar jalan = 9 @ -!! ; tan5a median
1emiringan melintang n,rmal = K
o Nen?ari R min untuk lengkung h,ri,ntalDengan rumus :
R =v2
127 (e+ f)
dimana : J = 1e?e5atan
e = Su5erele(asi
= 1,,sien gesekan melintang
R =80
2
127 (0,1+0,14) = !"-"8 m $! m
Dari tabel 6> di5er,leh Rmin desain $! m- D maks -7,
Di?,ba digunakan R/ = " m D = ,- dari table $ untuk
Met,de Bina Marga di5er,leh
e = !-!"
Ls = 8!
Lengkung diren?anakan SC/CS
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s = Rc
Lsx
90
= 84
4590x
= $-,
s = Ls(1 Ls40xRc )= > (1 4540x 84 )= >>-8 m > m
3? =
==846
45
6
22
xRcx
Ls
> m
? = B @ s
= ", @ $-,
= 6>,
L? =C
180 @ @ 7>
= 54.46180
@ @ 7>
= 768 m
L = L? 9 @ Ls;
= 768 9 @ >;
= $868 m
5 =
)cos1(6
2
sRcRcx
Ls
=
)35,15cos1(84846
452 o
x
= $-!! m
Atau
5 = 5Q @ Ls =I di5er,leh dari tabel >-$!
= !-!7> @ >67"
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= $-! m
k =
sRcRcx
LsLs sin
40 2
2
=
o
x35,15sin84
8440
4545
2
2
= -8 m
Atau
k = kQ @ Ls
= !->"787$$ @ >
= ->> m
&s = [ (Rc+p ) tan B2]+k
= [ (95+1,00 ) tan932]+k= $!68 m= $!8 ?m
E? =
Rc+p
C R?
= [(95+1,00
cos95
2)] C7>
= 68 m = 8?m
b6 Diagram su5er ele(asi
Sisi di luar
emax = + 8%
Sisi di dalam
e = 0
emax = 8%
!s
Sc!c
"o# 1
2%
"o# 2 "o# 3
2%
0 %2%
8%
8%
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2% 2%
+8%
8%
3,5 m 3,5 m
?;6 Perhitungan landai relati
h = e @ B
= 9 86" K K ; @ -
= !- m
3,P'%&."#!" D!.! L'"#)"# +& .&.&) C
a;6 Perhitungan data lengkung
Diketahui =I J = ! km#jam
emaks = $!K
/ =6,
Dari tabel >6$di5er,leh
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Rmin = 6 m digunakan R? = 7> m
Dari tabel $6 di5er,leh
e = !6$!! = $! K
Ls = >
=I e dan Ls terletak diba+ah garis batas sehingga
digunakan ti5e tikungan SC/CS
s = Rc
Lsx
90
= 84
4590x
= $-,
s = Ls(1 Ls40xRc )= > (1 4540x 80 )= >>-7 m 45m
3? =
==846
45
6
22
xRcx
Ls
> m? = / @ s
= 6, @ $-,
= 68,
L? =Rcxx
c
180
=52.37
180@ x 84
= 868> m
L = L? 9 @ Ls;
= 868> 9@>;
= $68> m
5 =
)cos1(6
2
sRcRcx
Ls
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=
)35,15cos1(84846
452
o
x
= $-!! m
Atau
5 = 5Q @ Ls =I di5er,leh dari tabel $6>
= !-!7> @ >
= $-! m
k =
sRcRcx
LsLs sin
40 2
2
=
o
x35,15sin84
84404545
2
2
= -8 m
Atau
k = kQ @ Ls
= !->"787$$ @ >
= ->> m
&s = [ (Rc+p ) tan C
2]+K
= [ (84+1,02) tan35.32]+22,76= "76!8 m = "7!8 ?m
E? = [Rc+p
cosC
c2]Rc
= [84+1,02
cos35.3
c2 ]84
= "68 m = "8 ?m
h = e @ B
= 9 $! K K ; @ -
= !-> m
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/6 Perhitungan Data Lengkungkung di &itik D
a;6 Perhitungan data lengkung
Diketahui =I J = ! km#jam
emaks = $!K
D =6,
Dari tabel >6$di5er,leh
Rmin = 6 m digunakan R? = 7> m
Dari tabel $6 di5er,leh
e = !6!7! = 7 K
Ls = >
=I e dan Ls terletak diba+ah garis batas sehingga
digunakan ti5e tikungan SC/CS
s = Rc
Lsx
90
= 84
4590x
= $-,
s = Ls(1 Ls40xRc )= > (1 4540x 80 )= >>-7 m 45m
3? =
==846
45
6
22
xRcx
Ls
> m? = D @ s
= 6, @ $-,
= >6m
L? =Rcxx
c
180
=54.33
180@ x 84
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= 876$ m
L = L? 9 @ Ls;
= 876$ 9@>;
= $76$ m
5 =
)cos1(6
2
sRcRcx
Ls
=
)35,15cos1(84846
452 o
x
= $-!! m
Atau
5 = 5Q @ Ls =I di5er,leh dari tabel $6>
= !-!7> @ >
= $-!7 m
k =
sRcRcx
LsLs sin
40 2
2
=
o
x35,15sin84
84404545
2
2
= -8 m
Atau
k = kQ @ Ls
= !->"787$$ @ >
= ->> m
&s = [ (Rc+p ) tanC2]+K
= [ (84+1,02 ) tan25.32]+22,76= $!!68$ m= $!!8$ ?m
E? = [Rc+p
cosC
c2]Rc
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= [84+1,02
cos25.3
c2 ]84
=$6> m =$> ?mb6Diagram su5er ele(asi
Sisi di luar
emax = + 8%
Sisi di dalam
e = 0
emax = 8%
!s
Sc
!c
"o# 1
2%
"o# 2 "o# 3
2%
0 %2%
8%
8%
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?6Perhitungan landai relati
2% 2%
+8%
8%
3,5 m 3,5 m
h = e @ B
= 9 7 K K ; @ -
= !- m
Stationing Lengkung Horisontal
$ie#a&ui ' S#a#ionin = 42 + 320
S#a#ionin * = 42 + 40524
S#a#ionin = 42 + 4911-
S#a#ionin $ = 42 + 54335
S#a#ionin . = 42 + 5944-
S#a#ion !s = S#a#ion * / !s
= (42+ 40524) / 1036-
= 42 + 3015-
S#a#ion Sc = S#a#ion !S + s
= (42 +3015-) + 45
= 42 + 3465-
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S#a#ion s = S#a#ion Sc + c
= (42 +3465-) + 82-3
= 42 + 4293
S#a#ion S# = S#a#ion s + s
= (42 + 4293) + 45
= 42 + 4-43
S#a#ion = S#a#ion S# + (d./ !s)
= (42 + 4-43) + (8593 / 1036-)
= 42 + 45656
S#a#ion !s = S#a#ion / !s
= (42 + 4911-) / 980-
= 42 + 3931
S#a#ion Sc = S#a#ion !s + s
= (42 + 3931) + 45
= 42 + 4381
S#a#ion s = S#a#ion Sc + c
= (42 + 4381) + -6-4
= 42+ 51484
S#a#ion S# = S#a#ion s + s
= (42 + 5141) + 45
= 42 + 55984
S#a#ion $ = S#a#ion S# + (d/ !s)
= (42 + 55984) + ( 5218 / 980-)
= 42 + 51395
S#a#ion !s = S#a#ion $ / !s= (42 + 54335) / 100-1
= 42 + 44262
S#a#ion Sc = S#a#ion !s + s
= (42 + 44262) + 45
= 42 + 48-64
S#a#ion s = S#a#ion Sc + c
= (42 + 48-64) + -831
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= 42+ 56595
S#a#ion S# = S#a#ion s + s
= (42 + 56595) + 45
= 42 + 61095
S#a#ion . = S#a#ion S# + (d/ !s)
= (42 + 61095) + ( 5162 / 100-1)
= 42 + 56186
3 Pelebaran Perkerasan pada Tikungan
"elearan ererasan ada #iunan dicari denan rumus
* = n ( +c ) + ( n 1) !d + 7
$imana
n = aur an#as
= +)( 22 PRR +
= ear endaraan 2,5 m
: = ;ariari lenun
" = ;ara andar (as roda) #ru 6,5 m = "emeasan samin 0,8 m
!d =[ ] RAPAR ++ )2(2
= "anan #anaan 1,5 m
7 = "elearan #ama&an aia# elalaian enemudi
7 = R
V105,0
< = ecea#an rencana
n = 2
Se&ina
= +)( 22 PRR +
= 2,5 +)5,684(84 22 +
= 2,25 m
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!d =[ ] RAPAR ++ )2(2
=[ ] 84)5,15,6+2(5,1842 ++
= 0,129 m ' #ida isa dicari denan ra>i 1
7 = R
V105,0
= 84
50+105,0
= 0,5-3 m ' #ida isa dicari denan ra>i 1
?aa * = n ( +c ) + ( n 1) !d + 7
= 2 ( 2,25 + 0,8) + ( 21 ) 0,129 + 0,5-3
= 6,802 m
ear ererasan alan lurus
*n = 2 3,5 = - m
arena * @ *n, maa #ida dierluan enama&an lear ererasan ada
#iu
C. PERHITUNGAN LENGUNG !ERTIAL
1 "er&i#unan elandaian (rade A;alan)
S#a ""
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= 43 +1-5
S#a ""
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C1 0,3 %
C1 3 %
C2 = 03 %C1= 3 %
"
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.leEasi = .leEasi ""
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C3 9%
C3 0,3 %
S#a#ion = S#a#ion "
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= (42 + -25) / G 80
= 42 + -05
.leEasi = .leEasi ""
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= 100 + 0,03 80) + L
XA
200
2
= 100 + 0,03 80) +8,7.80
2
200x 80
=103,24
3$. Lengkung PP!3
*elu% ada ga%bar #
a "anan lenun ' = |q1q2|=|915|
= 10,5 %
< = 40 mAam
=120 m ' dari ra>i DDD "";:
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S#a ""
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.leEasi = .leEasi ""i DDD "";:
S#a ""
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G lenun ' H = 1-,5
S#a#ion = S#a#ion ""
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= 93,5 + 0,015 -0) + ! X
2
200.L
= 935+ 0,015 -0) +6.7 !70
2
200x 70=948
,$. Lengkung PP!,
*elu% ada ga%bar 3
a "anan lenun ' = |q5q6|=|5.24.7|
= 99% < = 60 mAam
=120 m ' dari ra>i DDD "";:
S#a ""
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F lenun ' H =60
S#a#ion = S#a#ion "
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< = 60 mAam
=50 m ' dari ra>i DDD "";:
S#a ""
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S#a#ion = S#a#ion "
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&ir lenun 42+ 890 86
""