Perencanaan Alinyemen Horisontal Jalan Data : · Vr = 50 km/jam ...
Perencanaan Alinyemen Horisontal Jalan
Data :
·
Vr = 50 km/jam
· E normal = 2%
· E max = 10%
· B = 2x 3,5m
Penentuan Koordinat dan Jarak
· A = (273, 859,8)
· PI 1 = (412, 997)
· PI 2 = (628,5, 1048)
· PI 3 = (730, 1248)
· B = (827, 1297,5)
·
D1 =
·
D2 =
221,9 m
·
D3 = 
224,5 m
·
D4 = 
109,1 m
Penentuan Sudut Jurusan (α) dan Bearing (Δ)
α1 = Arc tg 
= 45,604 Δ1 = 76,744 –
45,604 = 31,14
α2 = Arc tg 
= 76,744 Δ2 = 26,907 –
76,744 = 49,83
α3 = Arc tg 
= 26,907 Δ3 = 62,963 –
26,907 = 36,866
α4 = Arc tg 
= 62,963
Lengkung 1 = S-S
Menentukan
harga R, R min, D max, D :
-
R =
150 m
-
R min =
= 76,077 m
-
D max = 
-
D = 
= 9,54°
Menentukan harga
miring tikungan / super elevasi (e) :
-
e = 
=
=
0,0757
e =
7,57%
Menentukan
lengkung peralihan fiktif (L’s) :
-
L’s = (e + en) ½ B m
=
(0,0757 + 0,02) ½ . 7 . 115
= 38,524 m
-
L’s = 0,022 . 
= 0,022 . 
= -3,608 m
L’s yang
digunakan = 32,844 m
Menentukan
harga θs :
-
θs = ½ Δ = ½ 31,14°
= 15,57°
Kontrol harga
Ls :
-
Ls* = 
= 
= 81,524 m
Menentukan
harga K*, dan P* :
-
K* = 0,49877
-
P* = 0,02263
Menentukan
harga K, P, L, Ts dan Es :
-
K = K* . Ls*
=
0,49877 . 81,524 =
40,661 m
-
P = P* . Ls*
=
0,02263 . 81,524 =
1,8448 m
-
L = 2 Ls
=
2 . 81,524
= 163,048 m
-
Ts = (R + P) tg ½ Δ + K
=
(160 + 1,8448) tg 15,57° + 40,661
=
82,971 m
-
Es = 
– R
=
- 160
=
7,6293 m
Menentukan harga
b’(pelebaran jalan)
b’ =
n (R - 
) + ( n – 1 ) (
- R) + 0,105 V/
=
2(150 - 
)+( 2 – 1 )(
- 500) + 0,105 50/
=
0,73042
|
Spiral
- Spiral |
PI STA |
= |
1 |
|
|
|
d |
= |
|
|
|
|
V |
= |
50 |
km/jam |
|
|
Δ |
= |
31,14 |
° |
|
|
θs |
= |
15,57 |
° |
|
|
R |
= |
150 |
m |
|
|
Ts |
= |
82,971 |
m |
|
|
Es |
= |
7,6293 |
m |
|
|
Ls |
= |
81,524 |
m |
|
|
L |
= |
163,048 |
m |
|
|
e |
= |
7,57 |
% |
|
|
b' |
= |
0,73042 |
m |
Lengkung 2 =
S-C-S
Menentukan
harga R, R min, D max, D :
-
R =
160 m
-
R min = = 76,0774 m
-
D max =
-
D = 
= 8,9525°
Menentukan
harga miring tikungan / super elevasi (e) :
-
e =
=
=
0,0724
e =
7,24%
Menentukan
lengkung peralihan fiktif (Ls) :
-
Ls = (e + en) ½ B m
=
(0,0724 + 0,02) ½ . 7 . 115
= 37,226 m
-
Ls = 0,022 . 
= 0,022 . 
= 20,0291 m
Ls yang digunakan
= 50 m
Menentukan
harga θs dan Δ’ :
-
θs = 
= 8,957°
-
Δ’ = Δ - 2 . θs
= 49,83 – 2 . 8,957
= 31,91°
Menentukan
harga K*, dan P* :
-
K* = 0,49959
-
P* = 0,01308
Menentukan
harga K, P, Lc, L, Ts, dan Es :
-
K = K* . Ls
=
0,49959 . 50
=
24,9795
-
P = P* . Ls
=
0,01308 . 50
=
0,654
-
Lc = 0,01745 . Δ’ . R
=
0,01745 . 42,2866.
160
=
61,66 m > 20 m (OK)
-
L = 2 Ls + Lc
= 2(50) + 61,66
= 161,64 m
-
Ts = (R + P) tg ½ Δ + K
=
(160 + 0,653) tg 24,915° + 24,9795
=
105,478 m
-
Es = 
= 19,693 m
Menentukan harga b’(pelebaran
jalan)
b’ =
n (R - ) + ( n – 1 ) ( - R) + 0,105 V/
=
2(160 - 
)+( 2 – 1 )(
- 500) + 0,105 50/
=
0,69793
|
Spiral
- Circle - Spiral |
PI STA |
= |
2 |
|
|
|
d |
= |
|
|
|
|
V |
= |
50 |
km/jam |
|
|
Δ |
= |
49,83 |
° |
|
|
Δ' |
= |
31,91 |
° |
|
|
θs |
= |
24,915 |
° |
|
|
R |
= |
160 |
m |
|
|
Ts |
= |
105,478 |
m |
|
|
Es |
= |
19,693 |
m |
|
|
Lc |
= |
61,66 |
m |
|
|
Ls |
= |
50 |
m |
|
|
L |
= |
189,081 |
m |
|
|
e |
= |
7,24 |
% |
|
|
b' |
= |
0,69793 |
m |
Lengkung 3 =
S-C-S
Menentukan
harga R, R min, D max, D :
-
R =
180 m
-
R min = = 76,0774 m
-
D max =
-
D = 
= 7,957°
Menentukan
harga miring tikungan / super elevasi (e) :
-
e =
=
=
0,0666
e =
6,66%
Menentukan
lengkung peralihan fiktif (Ls) :
-
Ls = (e + en) ½ B m
=
(0,0666 + 0,02) ½ . 7 . 115
= 34,883 m
-
Ls = 0,022 .
= 0,022 . 
= -0.5251 m
Ls yang
digunakan = 50 m
Menentukan
harga θs dan Δ’ :
-
θs = 
= 7,961°
-
Δ’ = Δ - 2 . θs
= 36,866 – 2 . 7,961
= 20,942°
Menentukan
harga K*, dan P* :
-
K* = 0,49979
-
P* = 0,00930
Menentukan
harga K, P, Lc, L, Ts, dan Es :
-
K = K* . Ls
=
0,49979 . 50
=
24,9895
-
P = P* . Ls
=
0,00930 . 50
=
4,65
-
Lc = 0,01745 . Δ’ . R
=
0,01745 . 42,2866.
160
=
65,759 m > 20 m (OK)
-
L = 2 Ls + Lc
= 2(50) + 65,759
= 165,759 m
-
Ts = (R + P) tg ½ Δ + K
=
(180 + 4,65) tg 18,433° + 24,9895
= 88,917
m
-
Es = 
= 15,403 m
Menentukan harga
b’(pelebaran jalan)
b’ =
n (R - ) + ( n – 1 ) ( - R) + 0,105 V/
=
2(160 - )+( 2 – 1 )( - 500) + 0,105 50/
=
0,642755 m
|
Spiral
- Circle - Spiral |
PI STA |
= |
3 |
|
|
|
d |
= |
|
|
|
|
V |
= |
50 |
km/jam |
|
|
Δ |
= |
36,866 |
° |
|
|
Δ' |
= |
20,942 |
° |
|
|
θs |
= |
7,961 |
° |
|
|
R |
= |
180 |
m |
|
|
Ts |
= |
88,917 |
m |
|
|
Es |
= |
15,403 |
m |
|
|
Lc |
= |
65,759 |
m |
|
|
Ls |
= |
50 |
m |
|
|
L |
= |
165,759 |
m |
|
|
e |
= |
6,66 |
% |
|
|
b' |
= |
0,642755 |
m |
Kontrol
Overlapping
Lengkung S-S
dengan S-C-S
82,971 +
105,478 + 30 < 221,9 -> OK
Lengkung S-C-S
dengan S-C-S
105,478 +
88,917 + 30 < 224,5 -> OK
Perhitungan
Stationing (STA)
|
Lengkung 1 -
SS |
|
|
STA PI 1 |
195,8 |
|
STA TS |
112,829 |
|
STA SS |
194,353 |
|
STA ST |
275,877 |
|
Lengkung 2 -
SCS |
|
|
STA PI2 |
414,806 |
|
STA TS |
309,328 |
|
STA SC |
359,328 |
|
STA CS |
508,723 |
|
STA ST |
558,723 |
|
Lengkung 3 -
SCS |
|
|
STA PI3 |
677,745 |
|
STA TS |
588,828 |
|
STA SC |
638,828 |
|
STA CS |
704,587 |
|
STA ST |
754,587 |
|
STA B |
774,77 |
Perencanaan
Alinyemen Vertikal
Perhitungan
Grade (kemiringan memanjang)
1.
G1 = 
= - 0,862
%
2.
G2 = 
= - 2,9642 %
3.
G3 = 
= + 3,989 %
4.
G4 = 
= + 1,818 %
Perhitungan
harga A (Selisih Aljabar Grade)
Lengkung PVI 1 – A = +
2,1022 % (cembung)
Lengkung PVI 2 – A = -
6,9532 % (cekung)
Lengkung PVI 3 – A = +
2,171 % (cembung)
Penentuan
Lv (Panjang Lengkung Vertikal)
Dengan Kecepatan
Rencana (V) = 50 km/jam, dari grafik diperoleh harga Lv sebagai berikut:
|
Lengkung |
A (%) |
Lv Min |
Lv Rencana |
|
PVI 1 |
2,1022 |
30 |
40 |
|
PVI 2 |
-6,9532 |
50 |
70 |
|
PVI 3 |
2,171 |
30 |
40 |
Penentuan
Elemen Perencanaan
Lengkung PVI 1 – Ev1 =
= - 0,10511 m
Lengkung PVI 2 – Ev2 =
= + 0,6084 m
Lengkung PVI 3 – Ev3 =
= - 0,10855 m
Tabel
Hasil Perencanaan
|
TITIK |
STA |
Elev (m) |
Lv (m) |
Ev (m) |
|
A |
0 + 000 |
80 |
- |
- |
|
PVI 1 |
0 + 116 |
79 |
40 |
-0,10511 |
|
PVI 2 |
0 + 396 |
70,7 |
65 |
0,6084 |
|
PVI 3 |
0 + 579 |
78 |
40 |
-0,10855 |
|
B |
0 + 689 |
80 |
- |
- |
Penentuan
Elevasi Jalan Rencana
Segmen
A – PVI 1
Titik A (STA 0 + 000): - Elev = 80,0 m
STA 0 + 50 -
Elev = 80 - (0,862% x 50)
=
79,569 m
STA 0 + 096 (PVC 1) -
Elev = 80 - (0,862% x 96)
=
79,17248 m
STA 0 + 100 -
Elev = 80 - (0,862% x 100) -
y
=
79,138 m
STA 0 + 116 (PVI 1’) -
Elev = 79 – 0,010511
=
78,989 m
Segmen
PVI 1 – PVI 2
STA 0 + 136 (PVT 1) -
Elev = 79 - (2,9642% x 20)
=
78,4072 m
STA 0 + 150 -
Elev = 79 - (2,9642% x 34)
=
77,9922 m
STA 0 + 200 -
Elev = 79 - (2,9642% x 84)
=
76,5101 m
STA 0 + 250 -
Elev = 79 - (2,9642% x 134)
=
75,028 m
STA 0 + 300 -
Elev = 79 - (2,9642% x 184)
=
73,5459 m
STA 0 + 350 -
Elev = 79 - (2,9642% x 234)
=
72,0638 m
STA 0 + 361 (PVC 2) -
Elev = 79 - (2,9642% x 245)
=
71,7377 m
STA 0 + 396 (PVI 2’) -
Elev = 70,7 + 0,6084
=
71,3084 m
Segmen PVI 2 –
PVI 3
STA 0 + 400 -
Elev = 70,7 + (3,989% x 4)
=
70,8596 m
STA 0 + 431 (PVT 2) -
Elev = 70,7 + (3,989% x 35)
=
72,0962 m
STA 0 + 450 -
Elev = 70,7 + (3,989% x 54)
=
72,8541 m
STA 0 + 500 -
Elev = 70,7 + (3,989% x 104)
=
74,8486 m
STA 0 + 550 -
Elev = 70,7 + (3,989% x 154)
=
76,8431 m
STA 0 + 559 (PVC 3) -
Elev = 70,7 + (3,989% x 163)
=
77,2021 m
STA 0 + 579 (PVI 3’) -
Elev = 78 – 0,10855
=
77,89145 m
Segmen PVI 3 –
B
STA 0 + 599 (PVT 3) -
Elev = 78 + (1,818% x 20)
=
78,3636 m
STA 0 + 600 -
Elev = 78 + (1,818% x 21)
=
78,3818 m
STA 0 + 650 -
Elev = 78 + (1,818% x 71)
=
79,2908m
Titik B (STA A + 669) -
Elev = 80,0 m
COMMENTS