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RENCANA KONSTRUKSI JEMBATAN
Trotoir it aspal
4
Gelagar melintang
1,2 4 1,2
KEPALA JEMBATAN
Lantai Jembatan
Akibat Beban Mati ( Dead Load )
- Berat jenis aspalt = 2100 kg/cm 2
- Kayu kelas I mutu B
Lt = 112,5 kg/cm 2 ; bj = 700 kg/cm 2
L. atas 8/25 7 cm
7
8
10
L. bawah 10/25
Pembebanan pada selembar papan lapis bawah
- Bj aspalt = 0,07 . 21 . 21 = 30,87
- Berat sendiri lantai atas = 0,08 . 0,20 . 7 = 0,112
- Berat sendiri lantai bawah = 0,10 . 0,25 . 7 = 0,175 +
Q = 31,157 t/mI
Tot log 10 % = 3,1157 t/mI +
Q tot = 34,2727 t/mI
~ = 34 t/mI
Factor distribusi
Q =34 t/mI
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Ø MBA = MBC = : = 3 : 4 MBA = O,43 MBC = O,57
Ø MCB = MCD = : = 4 : 4 MCB = O,5 MCD = O,5
Ø MCD = MDE = : = 4 : 3 MDC = O,57 MDE = O,43
Momen Primer
Ø Mo BA = Mo DE = . Q. L2 = . (34) . (1)2 = 4,25 kg.m
Ø Mo BC = Mo Dc = . Q. L2 = . (34) . (1)2 = 2,83 kg.m
BA | BC | CB | CD | DC | DE |
7,08 | 5,66 | 7,08 | |||
0,43 | 0,57 | 0,5 | 0,5 | 0,57 | 0,43 |
4,25 | 2,83 | 2,83 | 2,83 | 2,83 | 4,25 |
- 3,044 | - 4,036 | 2,83 | 2,83 | - 4,036 | - 3,044 |
- | 1,415 | - 2, 018 | - 2, 018 | 1,415 | - |
- 0,608 | - 0,806 | 1,009 | 1,009 | - 0,806 | - 0,608 |
- | 0,504 | - 0,403 | - 0,403 | 0,504 | - |
- 0,217 | - 0,287 | 0,201 | 0,201 | - 0,287 | - 0,217 |
- | 0,100 | - 0,143 | - 0,143 | 0,100 | - |
- 0,043 | - 0,057 | 0,071 | 0,071 | - 0,057 | - 0,043 |
- | 0,035 | - 0,028 | - 0,028 | 0,035 | - |
0,338 | - 0,302 | 1, 311 | 1, 311 | - 0,302 | 0,338 |
Reaksi perletakan dan momen maksimum x
VA = = kg
Mx = VA . X – ½ . Q . X2 VA 1 VB
Mmax = = 0
VA – QX = 0 y
X = = 0,490 m
Momen lapangan = . 0,490 – ½ . 34 . 0,490 = -0,166
Momen tumpuan = 0,347
50 20
= 50+2+7+8+10=79 =20+2+7+8+10=49
v Tekanan gandar = 20 ton
v Tekanan roda = ½ . 6,47 = 3,235
v Faktor kejut = k = 1 + 20/50 + L = 1 + 20/50+21 = 1,282
v Jembatan kelas II = 50% T Loading k = 5 . 1,282 = 6,41 ton
Penyebaran gaya arah melintang papan ( ukuran 10/25 )
P = . 3,235 = 1,650
Penyebaran gaya arah memanjang papan
Q = = 2,089 t/m = 1089 kg/cm
Perataan Momen
a=0,05 b=0,05 c=0,05 Q Q
A 1 B 1 C 1 D 1 E
Pada kegiatan I
Momen Primer
Ø Mo BA =
=
= - 1,044 ( 0,375 – 0,234 )
= - 0,147 t/m = -147 kg/cm
Dengan :
Ø Mo BC =
=
= 0,130 . 1.020 = 0,133 t/m = 133 kg/cm
Ø Mo CB =
=
= - 0,076 . (0,0755) = -0,048 t/m = 48 kg/cm
Kesimpulan momen
Ø Mo BA = -147 kg/cm
Ø Mo BC = +133kg/cm
Ø Mo CB = -48 kg/cm
Ø Mo CD = +48 kg/cm
Ø Mo DC = -133 kg/cm
Ø Mo DE = +147 kg/cm
Distribusi momen ( metode cross)
MK | -14 | 0 | 14 | |||
Batang | BA | BC | CB | CD | DC | DE |
M | 0,43 | 0,57 | 0,5 | 0,5 | 0,57 | 0,43 |
Mo | - 147 | 133 | - 48 | 58 | 133 | - 147 |
∆M | 6,02 | 7,98 | 0 | 0 | 7,98 | 6,02 |
| | 0 | 3,99 | - 3,99 | 0 | |
| - 140,98 | 140,98 | - 44,01 | 44,01 | 140,98 | 169,26 |
Momen lapangan dan reaksi perletakan
M = 140,98
0,5
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X
0,5
v RA = 0,5 . 2,089 . 0,21 – ( = -140,761 kg
v RB = 0,5 . 2,089 . 0,21 + ( = 141,199 kg
Mmak : Dmak = 0 X = = = 0,067 y = 1 – 0,067 = 0,933
My = -140,761 . 0,933 + ½ . 2089 . (0,933)2
= -131,330 + 909,226 = 777,809
Momen tumpuan = 140,98
Pada keadaan II
2 m
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1 1 1 1
4 m
Momen primer
v Mo BA = -1/8 . Q . P2 = -1/8 . 2089 . (1)2 = -261,125 kg/cm
v Mo CD = 1/12 . Q . P2 = 1/12 . 2089 . (1)2 = 174,083 kg/cm
v Mo DC = -1/12 . Q . P2 = -1/12 . 2089 . (1)2 = -174,083 kg/cm
Distribusi momen ( Methoda Cross )
-261,125 | 174,083 | 174,083 | |||
BA | BC | CB | CD | DC | DE |
0,43 | 0,57 | 0,5 | 0,5 | 0,57 | 0,43 |
-261,125 | - | - | 174,083 | 174,083 | - |
112,284 | 148,841 | -87,041 | -87,041 | -99,27 | -74,856 |
- | -43,520 | 74,420 | -49,613 | -43,520 | - |
18,714 | 24,806 | -37,21 | -24,806 | 24,806 | -18,714 |
- | -18,605 | 12,403 | 12,403 | -12,403 | - |
8,000 | 10,605 | -6,201 | -6,201 | 7,070 | 5,333 |
- | -3,100 | 5,302 | 3,535 | -3,100 | - |
-122,127 | 119,027 | -45,607 | 71,972 | -275,651 | -50,809 |
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= 925,473 kg ( ↑ )
RB =
= 1163,527 kg ( ↑ )
Mmak : Dmak = 0
RA . X = -1/2 . Q . X2 = 0
RA – Q . X = 0
X = = = 0,443
Mx = 925,473. 0,443 - ½ . 2089 . (0,433)2
= 400,730 – 195,832 = 204,898 kg/m
M tumpuan = 119,027
Akibat beban mati | Akibat beban hidup | M total | |||||
Mtp | Mlp | Keadaan I | Keadaan II | Mtp | Mlp | ||
- | - | Mtp | Mlp | Mtp | Mlp | - | - |
Kg | Kg | Kg.m | Kg.m | Kg.m | Kg.m | Kg.m | Kg.m |
-0,338 | -0,166 | 140,98 | 777,896 | 119,027 | 204,898 | 141,368 | 118,861 |
Control tegangan ( Mlp = 69,919 kg.m )
v lt = 5/6 . lt = 5/6 . 112,5 = 93,75 kg/cm2
v Wbr = 1/6 b.h2 = 1/6 . 0,75 . (4)2 = 2 = 200 kg/cm2
v Wn = 0,8 . 200 = 160 cm2
T = = = 0,43699 kg.m = 43,699 kg/cm2
43,699 kg/cm2 ≤ 112,5 kg/cm2 ( oke )
Perencanaan Trotoar :
4/20
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