Lengkung Vertikal Cekung II

5.2.4 Lengkung Vertikal Cekung II

Jarak pandangan pada lengkung vertikal dapat ditentukan dengan menggunakan rumus 2.44, perhitungan sebagai berikut: Perencanaan S < L (L = 40 m), perhitungan sebagai berikut:

AS 2 = 120L + 3,5 SL 1,96S 2 – 140S – 120 (40) = 0 1,96S 2 – 140S – 4800 = 0

S1 = 96,743 m

S2 = 25,314 m (S < L) berarti tidak memenuhi

Maka direncanakan S >L ; 120 + 3,5

3,5 S - 2 x 1,96 S + 120 + 1,96x40 = 0 3,5 S – 3,92 S + 198,4 = 0 0,42 S = 198,4 S = 472,381 m > 40 m, berarti memenuhi (S > L)

Tabel 5.1 Koordinasi Stasioning Horizontal dan Vertikal

Nomor Jalan (Sta)

Panjang Horizontal Jalan

STA Y

0 + 000 m STA PLV 1 0 + 237,5 m STA PPV 1 0 + 257,5 m STA PTV 1 0 + 277,5 m

STA TS 1 0+301,8207 m STA SC 1 0+361,8207 m

STA PI 1 0+473,61 m STA CS 1 0+595,3993 m STA TS 1 0+645,3993 m

STA PLV 2 0 + 700 m STA PPV 2 0 + 720 m STA PTV 2 0 + 740 m

STA TC 2 0+853,223 m STA PI 2 0+959,40 m STA PLV 3 0 + 998 m STA PPV 3 1 + 018 m STA PTV 3 1 + 038 m

STA CT 2 1+065,577 m STA TC 3 1+178,699 m

STA PI 3 1+277,92 m STA CT 3 1+376,441 m STA PLV 4 1 + 400 m STA PPV 4 1 + 420 m STA PTV 4 1 + 440 m

STA P

1 + 593 m

BAB VI PERHITUNGAN GALIAN (CUT) DAN TIMBUNAN (FILL)

Dari sketsa jalan, lampiran gambar halaman 1, dapat dilihat bagian jalan yang terletak pada bagian galian dan timbunan. Pada jalan yang terletak pada bagian umpamanya, bagian yang tersambung dapat dicari volumenya secara menyeluruh. Seperti bagian antara titik awal (B) dengan titik perpotongannya muka tanah dengan rencana lintasan jalan, dicari dulu luas – luas tampang melintang, volume adalah luas tampang dikalikan jarak antara kedua penampang, apabila diantarai oleh dua luas tampang yang tertentu maka harus dicari luas tampang melintang rata-rata dan dikalikan jarak antara kedua penampang yang bersangkutan.

Lain halnya bila ruas yang harus dicari diantarai oleh dua tampang yang berbeda, yang satu galian dan yang satu timbunan. Maka harus dicari titik potong muka tanah dengan permukaan jalan, atau batas antara galian dan timbunan seperti pada gambar di bawah ini.(gambar 5.1)

Gambar 5.1 batas antara galian dan timbunan

a : b = ( L- x ) ( a+b) x = b.L

bxL

ax = b.L - b.x x=

ax + bx = b.L

Dengan demikian dapat diketahui panjang bagian galian dan timbunan, sehingga dapat dicari volumenya. Penampang jalan yang direncanakan diperlihatkan pada Gambar 6.2 di bawah ini.

Gambar 5.2 Potongan melintang jalan Perencanaan: Lebar Jalan

= 2 x 3.75 meter

Kelandaian Perkerasan Jalan

Lebar bahu jalan

= 2 x 1.5 meter

Kemiringan bahu Jalan

Lebar talud

= 0.5 meter

Tinggi talud

= 1 meter

Kemiringan Talud

6.1 Perhitungan Luas Tampang Galian dan Timbunan.

I VIII 1 II 0,122 1 II III

I 2 = = 0.280 m

0.5 x 1.121

2 II 2 = 1.121 x 0.5 = 0.561 m

III 2 = x 0.5 = 0.311 m

IV 2 = x 1.5 = 0.141 m

VII 2 = x 1.5 = 0.161 m

2 0.134 + 1.135

VIII 2 = x 0.5 = 0.317 m

2 1.135 + 1.128

IX 2 = x 0.5 = 0.566 m

2 1.128 x 0.5 2

= 0.282 m

Luas total galian 2 = 2.894 m

IV V 206,80

III

V VI

2 9 VII 7 VIII 1 ,3 1 9 ,2 5 6 1 ,2 ,3 1

I 6 II 2 206,665

I 2 = = 0.314 m

0.5 x 1.255

II 2 = x 0.5 = 0.629 m

III 2 = x 0.5 = 0.383 m

IV 2 = x 1.5 = 0.371 m

V 2 = x 3.75 = 0.801 m

VI 2 = x 3.75 = 0.968 m

VII 2 = x 1.5 = 0.528 m

VIII 2 = x 0.5 = 0.445 m

IX 2 = x 0.5 = 0.697 m

2 1.397 x 0.5 2

= 0.349 m

Luas total galian 2 = 5.484 m

I 5 6 II 6 2 207,465

I 2 = = 0.364 m

II 2 = x 0.5 = 0.730 m

III 2 = x 0.5 = 0.483 m

IV 2 = x 1.5 = 0.671 m

V 2 = x 3.75 = 1.551 m

VI 2 = x 3.75 = 1.718 m

VII 2 = x 1.5 = 0.827 m

VIII 2 = x 0.5 = 0.545 m

IX 2 = x 0.5 = 0.797 m

2 1.597 x 0.5 2

= 0.399 m

Luas total galian 2 = 8.083 m

2 9 VII 7 9 VIII 1 ,2

I 2 = = 0.314 m

II 2 = x 0.5 = 0.630 m

III 2 = x 0.5 = 0.383 m

IV 2 = x 1.5 = 0.371 m

x 3.8 = 0.801 m

VI 2 = x 3.8 = 0.968 m

VII 2 = x 1.5 = 0.528 m

VIII 2 = x 0.5 = 0.445 m

IX 2 = x 0.5 = 0.697 m

2 1.397 x 0.5 2

= 0.349 m

Luas total galian 2 = 5.485 m

VII 2 7 9 VIII 1 ,3

I 5 II 6 209,565

Galian : 0.5 x 1.35 2

= 0.338 m

II 2 = x 0.5 = 0.677 m

III 2 = x 0.5 = 0.430 m

IV 2 = x 1.5 = 0.514 m

x 3.8 = 1.168 m

+ 0.416 x 3.8 = 1.343 m

VII 2 = x 1.5 = 0.677 m

VIII 2 = x 0.5 = 0.495 m

IX 2 = x 0.5 = 0.747 m

2 1.497 x 0.5 2

= 0.374 m

Luas total galian 2 = 6.760 m

4 VIII 1. 00 0,394 07 7 5 IX X 8

0.274 x 0.552 I 2 = = 0.076 m

II 2 = x 0.5 = 0.278 m

2 0.558 x 0.278

III 2 = = 0.078 m

2 VIII 2 = = 0.112 m m

IX =

x 0.5 = 0.339 m

2 0.68 x 0.341

X 2 = = 0.116 m

Luas total galian 2 = 0.997 m

Timbunan :

IV 2 = 1.5 + 1.719 x 0.476 = 0.766 m 2

V 2 = 0.476 + 0.5 x 3.750 = 1.830 m 2

VI 2 = 0.5 + 0.394 x 3.750 = 1.676 m 2

VII 2 = 1.5 + 1.664 x 0.394 = 0.623 m 2

Luas total timbunan 2 = 4.896 m

1, 1, 1, 21 21 21 IV V VI 21 210,965 VII 21 0,073 21 21

95 X VIII

I 2 = = 0.242 m

II 2 = x 0.5 = 0.485 m

VII 2 = = 0.055 m

IX 2 = x 0.5 = 0.540 m

2 1.081 x 0.341

X 2 = = 0.184 m

Luas total galian 2 = 2.017 m

Timbunan :

IV = 1.5 x 0.067

= 2 0.050 m

2 V 2 = 0.067 + 0.1 x 3.750 = 0.313 m

2 VI = 0.1 x 3.75 2

Luas total timbunan 2 = 0.551 m

,7 0 X VIII

I 2 = = 0.247 m

II 2 = x 0.5 = 0.496 m

V 2 = x 3.75 = 0.909 m

VI 2 = x 3.75 = 2.063 m

VII 2 = x 1.5 = 1.108 m

VIII 2 = x 0.5 = 0.640 m

IX 2 = x 0.5 = 0.893 m

2 1.788 x 0.5 2

0.447 m

Luas total galian 2 = 7.114 m

1.147 x 2.316 I 2 = = 1.328 m

II 2 = x 0.5 = 1.160 m

III 2 = x 0.5 = 0.913 m

IV 2 = x 1.5 = 1.971 m

V 2 = x 3.75 = 4.879 m

VI 2 = x 3.75 = 5.190 m

VII

x 1.5 = 2.271 m

VIII 2 = x 0.5 = 1.033 m

IX 2 = x 0.5 = 1.289 m

2 2.584 x 1.308

X 2 = = 1.690 m

Luas total galian 2 = 21.723 m

I 2 = = 0.822 m

II 2 = + x 0.5 = 0.913 m

III 2 = x 0.5 = 0.665 m

IV 2 = x 1.5 = 1.226 m

V 2 = x 3.75 = 3.004 m

VI 2 = x 3.75 = 3.315 m

VII

x 1.5 = 1.521 m

VIII 2 = x 0.5 = 0.783 m

IX 2 = x 0.5 = 1.039 m

2 2.084 x 1.055

X 2 = = 1.099 m

Luas total galian 2 = 14.386 m

2 0 2 0 2 0 2 0 IV 0,097 V 208,009 VI VII 4 20 3 VIII

Galian : 0.5 x 0.79 2

II 2 = x 0.5 = 0.398 m

VII 2 = = 0.097 m

VIII 2 = x 3.75 = 0.735 m

IX 2 = x 1.50 = 0.503 m

X 2 = x 0.5 = 0.442 m

XI =

x 0.5 = 0.697 m

Luas total galian 2 = 3.619 m

Timbunan :

IV = 0.097 x 0.187

= 2 0.009 m

2 V 2 = 0.187 + 0.094 x 1.500 = 0.211 m

2 VI = 0.094 x 1.81 2

Luas total timbunan 2 = 0.305 m

I 0 6 II III 0,107 ,3 1 6

0.152 x 0.306 I 2 = = 0.023 m

II 2 = x 0.5 = 0.156 m

IX 2 = = 0.204 m

X 2 = x 0.5 = 0.457 m

Luas total galian 2 = 1.094 m

Timbunan :

IV = 0.354 x 0.674

= 2 0.119 m

2 V 2 = 0.674 + 0.584 x 1.500 = 0.944 m

2 VI 2 = 0.584 + 0.4 x 3.750 = 1.845 m

2 VII 2 = 0.400 + 0.197 x 3.750 = 1.119 m

2 VIII 2 = 0.197 + 0.107 x 1.500 = 0.228 m

Luas total timbunan 2 = 4.255 m

VI 1 5 206,469 1 1 8 V 1 ,1 VII

VIII 206,131 X 1

I 2 = x 0.5 = 0.516 m

II 2 = x 0.5 = 0.263 m

III 2 = x 0.5 = 0.511 m

IV 2 = x 1.5 = 2.231 m

x 3.8 = 5.168 m

VI =

x 3.8 = 4.594 m

VII 2 = x 1.50 = 1.694 m

VIII 2 = x 0.50 = 0.299 m

IX 2 = x 0.50 = 0.042 m

X 2 = x 0.50 = 0.290 m

Luas total timbunan 2 = 15.606 m

Timbunan : 1.019 x 0.5 2

III 2 = x 1.5 = 1.499 m

2 1.012 +

IV =

x 3.8 = 3.773 m

2 1 + 0.864

V 2 = x 3.8 = 3.495 m

2 0.864 + 0.785

VI 2 = x 1.50 = 1.237 m

Luas total timbunan 2 = 10.657 m

Galian : 0.726 + 0.5 2

VIII

x 0.23 = 0.142 m

Luas total galian 2 = 0.142 m

III 2 = x 1.5 = 1.232 m

IV =

x 3.8 = 3.276 m

V 2 = x 3.8 = 3.154 m

VI 2 = x 1.50 = 1.122 m

2 0.714 x 0.354

VII 2 = = 0.126 m

Luas total timbunan 2 = 9.068 m

Galian :

x 0.20 = 0.120 m

VIII

x 0.30 = 0.194 m

Luas total galian 2 = 0.314 m

0,181 VII 3 ,1 6 0 I

II 2 = x = 0.175 m

III 2 = x 1.5 = 1.111 m

2 0.674 + 0.4 2

IV =

x 3.8 = 2.014 m

2 0.4 + 0.251

V 2 = x 3.8 = 1.221 m

2 0.251 + 0.181

VI 2 = x 1.50 = 0.324 m

Luas total timbunan 2 = 4.844 m

Galian :

0.654 + 0.5 2

x 0.17 = 0.096 m

2 1.33 + 0.5 2

VII

x 0.83 = 0.762 m

Luas total galian 2 = 0.858 m

x 1.5 = 0.287 m2

2 0.182 + 0.2

IV =

x 3.8 = 0.716 m2

2 0.2 + 0.123

x 3.8 = 0.606 m2

x 0.15 = 0.223 m2

Luas total timbunan

x 0.84 = 0.762 m2

2 1.441 + 0.5

VII

x 0.84 = 0.815 m2

Luas total galian

1.577 m2

Luas total timbunan

x 0.86 = 0.860 m2

IV =

x 1.22 = 1.149 m2

Luas total galian

= 2.009 m2

VIII 4 X 2 2 2 ,9 3 2 1 1 ,8 II 1 ,8

0.954 x 1.898 I 2 = = 0.905 m

2 1.898 + 1.893

II 2 = x 0.5 = 0.948 m

2 1.893 + 0.886

III 2 = x 0.5 = 0.695 m

2 0.886 + 0.811

IV 2 = x 1.5 = 1.273 m

2 0.811 + 0.700

V 2 = x 3.75 = 2.833 m

2 0.700 + 0.771

VI 2 = x 3.75 = 2.758 m

2 0.771 + 0.823

VII 2 = x 1.5 = 1.196 m

2 0.823 + 1.824

VIII 2 = x 0.5 = 0.662 m

2 1.824 + 1.882

IX 2 = x 0.5 = 0.927 m

2 1.882 x 0.911

X 2 = = 0.857 m

Luas total galian 2 = 13.053 m

0.564 x 1.128 I 2 = = 0.318 m

II 2 = x 0.5 = 0.564 m

III 2 = x 0.5 = 0.314 m

IV =

x 1.5 = 0.149 m

V 2 = x 3.75 = 0.131 m

VI 2 = x 3.75 = 0.131 m

VII 2 = x 1.5 = 0.149 m

VIII 2 = x 0.5 = 0.314 m

IX 2 = x 0.5 = 0.564 m