Berikut sebagian screen capture file ini. Geser ke kiri pada layar.
PENGANTAR |
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Perhitungan perencanaan struktur box culvert tipe U-ditch ini dilakukan dengan mengacu pada peraturan - peraturan |
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atau standar perencaaan yang berlaku di Indonesia. Beberapa peraturan/standar yang digunakan antara lain: |
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1. RSNI T-02-2005 tentang Standar Pembebanan untuk Jembatan, |
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2. RSNI T-12-2004 tentang Perencanaan Struktur Beton Untuk Jembatan, |
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3. Standar Gorong-gorong Persegi Beton Bertulang (Box Culvert) - Single. |
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Adapun tahapan perencanaan struktur box culvert ini adalah sebagai berikut: |
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1. Penentuan dimensi box culvert tipe U-ditch sesuai kebutuhan. |
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2. Penentuan pembebanan. |
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Beban - beban yang bekerja sesuai Standar Gorong-gorong Persegi Beton Bertulang (Box Culvert) |
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antara lain sebagai berikut: |
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- |
Berat sendiri gorong-gorong persegi dari beton bertulang, |
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- |
Beban roda ganda (dual wheel load) dengan kondisi 100%, |
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Beban kendaraan diatas konstruksi gorong-gorong persegi ini diperhitungkan setara dengan |
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muatan tanah setinggi 60cm, |
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- |
Tekanan tanah aktif, |
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- |
Tekanan air dari luar, |
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- |
Tekanan hidrostatik. |
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Dimana besarnya nilai - nilai beban tersebut diatas diambil sesuai dengan RSNI T-02-2005 tentang |
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Standar Pembebanan untuk Jembatan. |
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3. Perhitungan kebutuhan penulangan berdasarkan gaya dalam yang terjadi akibat adanya beban yang bekerja. |
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Keterangan penggunaan spread sheet perhitungan penulangan box culvert ini: |
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a. |
Penjelasan beberapa cell excel yang berwarna abu-abu, hijau dan kuning. |
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---> |
Cell berwarna abu-abu ini berisi rumus/formula yang TIDAK BOLEH diganti nilainya. |
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---> |
Cell berwarna hijau ini merupakan cell yang mana nilainya diisi manual, tetapi umumnya |
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merupakan default sehingga tidak perlu untuk di ubah nilainya. |
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---> |
Cell berwarna kuning ini merupakan cell yang mana nilainya BOLEH diganti nilainya |
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sesuai kebutuhan atau sesuai peraturan yang berlaku. |
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b. |
Diharapkan untuk tidak menggganti tulisan atau menambah baris atau kolom pada spread |
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sheet ini karena dikhawatrikan akan merubah perhitungan yang sudah ada. |
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TERIMA KASIH |
2. Penulangan Pelat Cover |
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2.1. Data Perencanaan |
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Tebal pelat tump. (Ta) |
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= |
150 |
mm |
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Tebal pelat lap. (T) |
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= |
160 |
mm |
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Selimut beton |
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= |
25 |
mm |
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Tul. pokok |
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Ø |
= |
10 |
mm |
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Tul. bagi |
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Ø |
= |
6 |
mm |
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d eff tump. |
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= |
Tebal Pelat - Selimut beton - 0.5Øtulangan |
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= |
120 |
mm |
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d eff lap. |
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= |
Tebal Pelat - Selimut beton - 0.5Øtulangan |
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= |
130 |
mm |
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Mutu tulangan |
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= |
U |
40 |
---> |
fy |
= |
400 |
MPa |
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Mutu beton |
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= |
K |
350 |
---> |
fck |
= |
34.3 |
MPa |
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fc' |
= |
29.2181316263714 |
MPa |
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fc' |
= |
29.155 |
MPa |
Varia Usaha |
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2.2. Pembebanan |
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2.2.1. Beban tetap |
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- Berat sendiri |
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Berat beton |
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25 |
kN/m3 |
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(sesuai SNI T-02-2005 Tabel 3) |
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ato |
2,5 |
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maka, |
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qD1 |
= |
(Vcover * Berat beton) / W |
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= |
4.714 |
kN/m' |
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dengan faktor beban |
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= |
1.2 |
(sesuai SNI T-02-2005 Tabel 2) |
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sehingga beban terfaktor: |
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qDu1 |
= |
1.2 |
* |
4.714 |
= |
5.65714285714286 |
kN/m' |
atau |
565.714285714286 |
kg/m |
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- Beban mati tambahan |
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Berat aspal |
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= |
22 |
kN/m3 |
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---> |
tebal |
= |
0 |
cm |
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Urugan tanah |
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= |
17.2 |
kN/m3 |
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---> |
tebal |
= |
0 |
cm |
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Urugan sirtu |
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= |
18.8 |
kN/m3 |
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---> |
tebal |
= |
0 |
cm |
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Lapisan beton |
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= |
22 |
kN/m3 |
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---> |
tebal |
= |
0 |
cm |
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maka berat untuk masing-masing material = 1m * tebal * berat jenis material, dihitung : |
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Berat aspal |
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= |
0 |
kN/m' |
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Urugan tanah |
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= |
0 |
kN/m' |
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Urugan sirtu |
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= |
0 |
kN/m' |
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Lapisan beton |
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= |
0 |
kN/m' |
+ |
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qD2 |
= |
0 |
kN/m' |
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dengan faktor beban |
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= |
1.2 |
(sesuai SNI T-02-2005 Tabel 2) |
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sehingga beban terfaktor: |
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qDu2 |
= |
1.2 |
* |
0 |
= |
0 |
kN/m' |
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- Besarnya beban tetap |
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qDu |
= |
qDu1 |
+ |
qDu2 |
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= |
5.65714285714286 |
+ |
0 |
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= |
5.65714285714286 |
kN/m' |
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2.2.2. Beban transien (roda truk) |
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Berdasarkan SNI T-02-2005 ps. 6.4, beban truk "T" terlihat seperti gambar berikut: |
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Beban total untuk truk sebesar 500 kN, dimana beban maksimum 1 roda sebesar T=112.5 kN. |
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Pembebanan sesuai kelas jalan adalah sebagai berikut : |
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500kN = 50 Ton |
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Kelas I |
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100% T |
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Kelas II |
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70% T |
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Kelas III |
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50% T |
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Diambil beban "T" (terpusat ditengah bentang) sebesar |
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= |
100.0 |
kN |
(kelas I) |
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dgn faktor Safety beban |
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= |
1.1 |
(sesuai SNI T-02-2005 Tabel 12) |
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atau |
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sehingga beban terfaktor : |
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Tu |
= |
1.1 |
* |
100 |
= |
110 |
kN |
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# |
Beban Hidup / Kendaraan |
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Beban Kendaraan (± 50 Ton) |
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Konfigurasi beban truck Internate Alternate sesuai AASHTO |
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Beban Gandar |
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P |
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20 |
ton |
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Beban Roda |
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0.5 P |
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10 |
ton |
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Jarak Gandar |
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K |
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1.2 |
m |
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Jarak Roda |
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G |
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1.8 |
m |
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Lebar Tapak |
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a |
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0.5 |
m |
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Lebar Tapak |
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b |
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0.2 |
m |
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Beban per m² (ton/m²) |
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0.5P.4 / (K+b).(G+a) |
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12.42 |
ton/m² |
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Safety Factor |
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1.1 |
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13.66 |
ton/m² |
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2.3. Perhitungan Gaya Dalam |
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Besarnya momen yang terjadi : |
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2.3.1. Akibat beban tetap |
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Pelat penutup / cover diasumsikan terletak bebas dalam hubungannya dengan pelat samping U-ditch, |
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sehingga dengan beban merata : |
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- Momen negatif di tumpuan |
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MDu (-) |
= |
1/16 * qDu * W2 |
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= |
0.0625 |
* |
5.65714285714286 |
* |
0.7056 |
= |
0.24948 |
kNm |
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- Momen positif di lapangan |
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MDu (+) |
= |
1/8 * qDu * W2 |
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= |
0.125 |
* |
5.65714285714286 |
* |
0.7056 |
= |
0.49896 |
kNm |
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2.3.2. Akibat beban transien |
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Pelat penutup / cover diasumsikan terletak bebas dalam hubungannya dengan pelat samping U-ditch, |
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sehingga dengan beban terpusat : |
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- Momen negatif di tumpuan |
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MTu (-) |
= |
1/8 * Tu * W |
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= |
0.125 |
* |
110 |
* |
0.84 |
= |
11.5500 |
kNm |
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- Momen positif di lapangan |
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MTu (+) |
= |
1/4 * Tu * W |
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= |
0.25 |
* |
110 |
* |
0.84 |
= |
23.1000 |
kNm |
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2.4. Kombinasi Pembebanan Ultimit |
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Kombinasi pembebanan saat ultimit diambil sesuai SNI T-02-2005 Tabel 40, maka : |
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- Momen negatif di tumpuan |
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Mu (-) |
= |
MDu |
+ |
MTu |
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|
= |
0.24948 |
+ |
11.55 |
= |
11.80 |
kNm |
= |
11799480 |
Nmm |
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|
- Momen positif di lapangan |
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Mu (+) |
= |
MDu |
+ |
MTu |
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= |
0.49896 |
+ |
23.10 |
= |
23.60 |
kNm |
= |
23598960 |
Nmm |
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2.5. Perhitungan Penulangan Pelat |
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Pelat atas box culvert ini termasuk pelat yang berada di atas tumpuan sejajar dan diasumsikan terletap bebas |
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pada kedua tumpuannya. Pelat ini termasuk jenis pelat satu arah yang menghasilkan momen positif di tengah |
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bentang. Perhitungan penulangan pelat dihitung per meter pada arah memanjang pelat (L), sehingga: |
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b |
= |
1200 |
mm |
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menentukan nilai β |
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sesuai SNI T-12-2004 pasal 5.1.1.1, nilai β diambil berdasarkan persamaan |
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- untuk fc' ≤ 30 MPa, nilai β = 0.85 |
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- untuk fc' > 30 MPa, nilai β = 0.85 - 0.008*(fc'-30) tetapi tidak boleh kurang dari 0.65 |
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dengan demikian maka : |
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β |
= |
0.85 |
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2.5.1. Daerah tumpuan |
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= |
0.85 |
MPa |
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= |
16.11 |
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= |
0.052775 |
* |
0.600000 |
= |
0.031665 |
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= |
0.75 |
* |
0.031665 |
= |
0.023749 |
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= |
0.002500 |
(sesuai SNI T-12-2004 pasal 5.5.5) |
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= |
0.06 |
* |
0.034980081343475 |
= |
0.002172 |
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Cek kondisi : |
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ρmin |
< |
ρperlu |
> |
ρmax |
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dengan demikian maka : |
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ρpakai |
= |
0.002500 |
(diisi sesuai kondisi di atas) |
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a. Tulangan tarik tumpuan (arah melintang / arah-x) |
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Luas tulangan tarik tumpuan yang dibutuhkan untuk per meter panjang (L) cover : |
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Asperlu |
= |
ρpakai * b * deff |
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= |
360 |
mm |
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Jadi digunakan tulangan tarik tumpuan : |
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Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
10 |
mm |
- |
300 |
mm |
---> |
Jarak maksimum tulangan pokok (as-as) harus kurang dari |
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450 mm atau 3*h |
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= |
450 |
mm |
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Jumlah tulangan tarik per meter panjang (L) : |
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n |
= |
5 |
buah tulangan |
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sehingga, |
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Asterpasang |
|
= |
393 |
mm |
> |
Asperlu |
= |
360 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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b. Tulangan tekan tumpuan (arah melintang / arah-x) |
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Luas tulangan tekan tumpuan yang dibutuhkan untuk per meter panjang (L) cover : |
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As' |
= |
50% * As |
|
---> |
(sesuai SNI T-12-2004 pasal 5.5.4) |
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= |
0.5 |
* |
360 |
= |
180 |
mm |
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Jadi digunakan tulangan tekan tumpuan : |
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|
Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
10 |
mm |
- |
550 |
mm |
---> |
Jarak maksimum tulangan pokok (as-as) harus kurang dari |
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450 mm atau 3*h |
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= |
450 |
mm |
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Jumlah tulangan tekan per meter panjang (L) : |
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n |
= |
3 |
buah tulangan |
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sehingga, |
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As'terpasang |
|
= |
236 |
mm |
> |
Asperlu |
= |
180 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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c. Tulangan bagi tumpuan (arah memanjang / arah-y) |
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Luas tulangan bagi tumpuan yang dibutuhkan untuk per meter lebar (W) cover : |
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As' |
= |
30% * As |
|
---> |
(sesuai SNI T-12-2004 pasal 5.5.4) |
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= |
0.3 |
* |
360 |
= |
108 |
mm |
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Jadi digunakan tulangan bagi tumpuan : |
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|
Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
6 |
mm |
- |
300 |
mm |
---> |
Jarak maksimum tulangan bagi (as-as) harus kurang dari |
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450 mm atau 5*h |
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|
= |
750 |
mm |
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Jumlah tulangan bagi per meter lebar (W) : |
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n |
= |
4 |
buah tulangan |
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sehingga, |
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|
As'terpasang |
|
= |
113 |
mm |
> |
Asperlu |
= |
108 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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2.5.2. Daerah lapangan |
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= |
1.45 |
MPa |
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= |
16.11 |
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= |
0.052775 |
* |
0.600000 |
= |
0.031665 |
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ρmax |
= |
0.75 |
* |
ρb |
= |
0.75 |
* |
0.031665 |
= |
0.023749 |
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= |
0.002500 |
(sesuai SNI T-12-2004 pasal 5.5.5) |
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= |
0.06 |
* |
0.060392025280933 |
= |
0.003750 |
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Cek kondisi : |
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ρmin |
> |
ρperlu |
> |
ρmax |
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dengan demikian maka : |
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ρpakai |
= |
0.003750 |
(diisi sesuai kondisi di atas) |
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a. Tulangan tarik lapangan (arah melintang / arah-x) |
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Luas tulangan tarik lapangan yang dibutuhkan untuk per meter panjang (L) cover : |
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Asperlu |
= |
ρpakai * b * deff |
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= |
585 |
mm |
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Jadi digunakan tulangan tarik lapangan : |
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Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
10 |
mm |
- |
170 |
mm |
---> |
Jarak maksimum tulangan pokok (as-as) harus kurang dari |
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450 mm atau 3*h |
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= |
480 |
mm |
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Jumlah tulangan tarik per meter panjang (L) : |
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n |
= |
8 |
buah tulangan |
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sehingga, |
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Asterpasang |
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= |
629 |
mm |
> |
Asperlu |
= |
585 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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b. Tulangan tekan lapangan (arah melintang / arah-x) |
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Luas tulangan tekan lapangan yang dibutuhkan untuk per meter panjang (L) cover : |
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As' |
= |
50% * As |
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---> |
(sesuai SNI T-12-2004 pasal 5.5.4) |
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= |
0.5 |
* |
585 |
= |
292 |
mm |
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Jadi digunakan tulangan tekan lapangan : |
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Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
10 |
mm |
- |
400 |
mm |
---> |
Jarak maksimum tulangan pokok (as-as) harus kurang dari |
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450 mm atau 3*h |
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= |
480 |
mm |
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Jumlah tulangan tekan per meter panjang (L) : |
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n |
= |
4 |
buah tulangan |
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sehingga, |
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As'terpasang |
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= |
314 |
mm |
> |
Asperlu |
= |
292 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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c. Tulangan bagi lapangan (arah memanjang / arah-y) |
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Luas tulangan bagi lapangan yang dibutuhkan untuk per meter lebar (W) cover : |
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As' |
= |
30% * As |
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---> |
(sesuai SNI T-12-2004 pasal 5.5.4) |
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= |
0.3 |
* |
585 |
= |
175 |
mm |
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Jadi digunakan tulangan bagi lapangan : |
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Ø |
Tethool:
Jangan di ganti. Bila ingin mengganti diameter tulangan pada subbab 2.1 tentang data perencanaan.
6 |
mm |
- |
200 |
mm |
---> |
Jarak maksimum tulangan bagi (as-as) harus kurang dari |
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450 mm atau 5*h |
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= |
800 |
mm |
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Jumlah tulangan bagi per meter lebar (W) : |
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n |
= |
7 |
buah tulangan |
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sehingga, |
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As'terpasang |
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= |
198 |
mm |
> |
Asperlu |
= |
175 |
mm |
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maka : |
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OK, tulangan terpasang cukup! |
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2.6. Sketsa Penulangan |
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Gambar tidak terskala |
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10 |
- |
300 |
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10 |
- |
400 |
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6 |
- |
300 |
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6 |
- |
200 |
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Pelat Cover |
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10 |
- |
550 |
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10 |
- |
170 |
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Tumpuan |
Lapangan |
Tumpuan |
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0.15*W = |
0.7*W = |
0.15*W = |
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126 |
588 |
126 |
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mm |
mm |
mm |
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W |
= |
840 |
mm |
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