pba kelompok 7b ref 1.xlsx
TRANSCRIPT
TahunSta Sta Dukuh Sta CH
Margasari Waringin Kalibakung wilayah (Xn)
1 151 183 130 154.6672 128 124 109 120.3333 109 135 202 148.6674 142 129 130 133.6675 253 213 125 197.0006 215 245 125 195.0007 155 157 155 155.6678 163 188 101 150.6679 177 159 107 147.66710 157 171 106 144.66711 153 148 127 142.66712 187 143 108 146.00013 167 183 129 159.66714 152 176 195 174.33315 168 156 170 164.667
Jumlah 2335.333Rata-rata (X) 155.689
Std.Deviasi (Sx) 20.626Skewnes (Cs) 0.734Kurtosis (Ck) 4.147
KT 3.138R100 (Gumbel) 220.418
1.045 -1.068 1.0921250.015 -44194.986 1562538.27249.312 -346.277 2431.634484.978 -10680.299 235203.9241706.608 70501.869 2912510.5291545.363 60749.955 2388148.2140.000 0.000 0.00025.223 -126.674 636.18564.356 -516.279 4141.701121.489 -1339.083 14759.670169.578 -2208.286 28756.79093.875 -909.540 8812.43415.823 62.939 250.358347.615 6481.094 120836.40380.600 723.613 6496.440
5955.881 78196.978 7285523.646
(Xn-X)2 (Xn-X)3 (Xn-X)4
L = 11 km t = 4.21304 jamA = 40 Rn = 174.16541i = 0.0023 α = 0.51000R 215.505 β = 0.85208
qn = 11.48322Q100 = 199.60569
L = 11 km t = 4.21304208 jamA = 40 km² Rn = 165.534122i = 0.0023 α = 0.51R 204.825 β = 0.85207755
qn = 10.9141327 m³/s/km²Q50 = 189.713624 m³/s
L = 11 km t = 4.21304208 jamA = 40 km² Rn = 156.791302i = 0.0023 α = 0.51R 194.007 β = 0.85207755
qn = 10.3376939 m³/s/km²Q25 = 179.693743 m³/s
km²
m³/s/km²m³/s
Kemiringan (i)i1 = 0.001516i2 = 0.006765i = 0.004141
cara lain
= 0.51 → tabel ketentuan
= 109.9076 mmL = 11 km tg(tc) = 1.125108A = 40 tr = 0.7 → 0.5 - 1
α = 0.51 Tp = 1.685108 jamR 215.51 α = 1.913229 → 2
= 2.250216 jamQp100 = 226.0038
Ccibatarua= 0.51 → tabel ketentuanR0 = 104.4608 mm
L = 11 km tg(tc) = 1.125108A = 40 km² tr = 0.7 → 0.5 - 1α = 0.51 Tp = 1.685108 jamR 204.83 α = 1.913229 → 2
T0.3 = 2.250216 jamQp50 = 214.8035 m³/s
Ccibatar= 0.51 → tabel ketentuanR0 = 98.94357 mm
L = 11 km tg(tc) = 1.125108A = 40 km² tr = 0.7 → 0.5 - 1α = 0.51 Tp = 1.685108 jamR 194.01 α = 1.913229 → 2
T0.3 = 2.250216 jamQp25 = 203.4584 m³/s
Ccibatarua
R0
km²
T0.3
m³/s
tabel ketentuan
tabel ketentuan
tabel ketentuan
R100 220.418 mmtc 4.213042 jam
= 0.51I = 29.29405 mm/jamA = 40Q100 = 166.0129
αhaspers
km²m³/s
n i m h B b A P0.025 0.00233 1 1.50 30 27.00 42.75 31.24
0.025 0.00233 1 1.52 30 26.96 43.29 31.260.025 0.00233 1 1.54 30 26.92 43.83 31.280.025 0.00233 1 1.56 30 26.88 44.37 31.290.025 0.00233 1 1.58 30 26.84 44.90 31.310.025 0.00233 1 1.60 30 26.80 45.44 31.330.025 0.00233 1 1.62 30 26.76 45.98 31.340.025 0.00233 1 1.64 30 26.72 46.51 31.360.025 0.00233 1 1.66 30 26.68 47.04 31.380.025 0.00233 1 1.68 30 26.64 47.58 31.390.025 0.00233 1 1.70 30 26.60 48.11 31.410.025 0.00233 1 1.72 30 26.56 48.64 31.420.025 0.00233 1 1.74 30 26.52 49.17 31.440.025 0.00233 1 1.76 30 26.48 49.70 31.460.025 0.00233 1 1.78 30 26.44 50.23 31.470.025 0.00233 1 1.80 30 26.40 50.76 31.490.025 0.00233 1 1.82 30 26.36 51.29 31.510.025 0.00233 1 1.84 30 26.32 51.81 31.520.025 0.00233 1 1.86 30 26.28 52.34 31.540.025 0.00233 1 1.88 30 26.24 52.87 31.560.025 0.00233 1 1.90 30 26.20 53.39 31.570.025 0.00233 1 1.92 30 26.16 53.91 31.590.025 0.00233 1 1.94 30 26.12 54.44 31.610.025 0.00233 1 1.96 30 26.08 54.96 31.620.025 0.00233 1 1.98 30 26.04 55.48 31.640.025 0.00233 1 2.00 31 27.00 58.00 32.660.025 0.00233 1 2.02 32 27.96 60.56 33.670.025 0.00233 1 2.04 33 28.92 63.16 34.690.025 0.00233 1 2.06 34 29.88 65.80 35.710.025 0.00233 1 2.08 35 30.84 68.47 36.720.025 0.00233 1 2.10 36 31.80 71.19 37.740.025 0.00233 1 2.12 37 32.76 73.95 38.760.025 0.00233 1 2.14 38 33.72 76.74 39.770.025 0.00233 1 2.16 39 34.68 79.57 40.790.025 0.00233 1 2.18 40 35.64 82.45 41.810.025 0.00233 1 2.20 41 36.60 85.36 42.820.025 0.00233 1 2.22 42 37.56 88.31 43.840.025 0.00233 1 2.24 43 38.52 91.30 44.860.025 0.00233 1 2.26 44 39.48 94.33 45.870.025 0.00233 1 2.28 45 40.44 97.40 46.890.025 0.00233 1 2.30 46 41.40 100.51 47.910.025 0.00233 1 2.32 47 42.36 103.66 48.92
0.025 0.00233 1 2.34 48 43.32 106.84 49.940.025 0.00233 1 2.36 49 44.28 110.07 50.960.025 0.00233 1 2.38 50 45.24 113.34 51.970.025 0.00233 1 2.40 51 46.20 116.64 52.990.025 0.00233 1 2.42 52 47.16 119.98 54.000.025 0.00233 1 2.44 53 48.12 123.37 55.020.025 0.00233 1 2.46 54 49.08 126.79 56.040.025 0.00233 1 2.48 55 50.04 130.25 57.050.025 0.00233 1 2.50 56 51.00 133.75 58.070.025 0.00233 1 2.52 57 51.96 137.29 59.090.025 0.00233 1 2.54 58 52.92 140.87 60.10
1.50 30.00 27.00 42.75 31.242.00 31.00 27.00 58.00 32.662.50 56.00 51.00 133.75 58.072.54 58.00 52.92 140.87 60.10
R V Q1.37 2.3797438243 101.734048489 Q Nakayashu *1.2
1.38 2.3988789977 103.8465122579 Q =1.40 2.4178885788 105.97218778731.42 2.4367744188 108.11090857451.43 2.4555383157 110.26251031331.45 2.4741820167 112.42683083741.47 2.49270722 114.60371006461.48 2.5111155773 116.79298994531.50 2.529408695 118.9945144111.52 2.5475881366 121.20812932591.53 2.5656554238 123.43368244031.55 2.5836120388 125.67102334521.56 2.601459425 127.92000342921.58 2.6191989891 130.18047583661.60 2.6368321022 132.4522954271.61 2.6543601012 134.73531873641.63 2.6717842898 137.02940393991.64 2.68910594 139.33441081561.66 2.7063262931 141.65020070921.68 2.7234465607 143.97663650081.69 2.740467926 146.31358257171.71 2.7573915445 148.66090477351.72 2.7742185449 151.01847039711.74 2.7909500303 153.38614814351.75 2.8075870788 155.76380809511.78 2.831655281 164.23600629631.80 2.8554097733 172.92247370831.82 2.8788734238 181.82503925211.84 2.9020665428 190.94553107381.86 2.9250072392 200.28577569091.89 2.9477117193 209.84759729481.91 2.9701945373 219.63281717881.93 2.9924688074 229.64325327021.95 3.0145463836 239.88071974631.97 3.036438013 250.34702672031.99 3.0581534675 261.04397998512.01 3.0797016565 271.97338080452.04 3.1010907243 283.1370257452.06 3.1223281348 294.53670654012.08 3.1434207445 306.17420998342.10 3.1643748666 318.05131784482.12 3.1851963272 330.1698068065
2.14 3.2058905138 342.53144841622.16 3.2264624191 355.13800905412.18 3.2469166785 367.99124991142.20 3.2672576044 381.09292698062.22 3.2874892156 394.44479105252.24 3.3076152641 408.04858772182.26 3.3276392588 421.90605739882.28 3.3475644864 436.01893532562.30 3.3673940306 450.38895159772.32 3.3871307891 465.01783118932.34 3.4067774886 479.9072939809
1.37 2.38 101.731.78 2.83 164.242.30 3.37 450.392.34 3.41 479.91
100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.001.50
1.70
1.90
2.10
2.30
2.50
2.70
GRAFIK LENGKUNG DEBIT SEBELUM ADA BENDUNG
Debit (Q) m³/det
Tinggi Muka Aair (h) m
Q Nakayashu *1.2
444 m3/s
B
b
100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.001.50
1.70
1.90
2.10
2.30
2.50
2.70
GRAFIK LENGKUNG DEBIT SEBELUM ADA BENDUNG
Debit (Q) m³/det
Tinggi Muka Aair (h) m
n i m h B0.025 0.00233 1 1.5 30
0.025 0.00233 1 1.52 300.025 0.00233 1 1.54 300.025 0.00233 1 1.56 300.025 0.00233 1 1.58 300.025 0.00233 1 1.6 300.025 0.00233 1 1.62 300.025 0.00233 1 1.64 300.025 0.00233 1 1.66 300.025 0.00233 1 1.68 300.025 0.00233 1 1.7 300.025 0.00233 1 1.72 300.025 0.00233 1 1.74 300.025 0.00233 1 1.76 300.025 0.00233 1 1.78 300.025 0.00233 1 1.8 300.025 0.00233 1 1.82 300.025 0.00233 1 1.84 300.025 0.00233 1 1.86 300.025 0.00233 1 1.88 300.025 0.00233 1 1.9 300.025 0.00233 1 1.92 300.025 0.00233 1 1.94 300.025 0.00233 1 1.96 300.025 0.00233 1 1.98 300.025 0.00233 1 2 310.025 0.00233 1 2.02 320.025 0.00233 1 2.04 330.025 0.00233 1 2.06 340.025 0.00233 1 2.08 350.025 0.00233 1 2.1 360.025 0.00233 1 2.12 370.025 0.00233 1 2.14 380.025 0.00233 1 2.16 390.025 0.00233 1 2.18 400.025 0.00233 1 2.2 410.025 0.00233 1 2.22 420.025 0.00233 1 2.24 430.025 0.00233 1 2.26 440.025 0.00233 1 2.28 45
0.025 0.00233 1 2.3 460.025 0.00233 1 2.32 47
0.025 0.00233 1 2.34 480.025 0.00233 1 2.36 490.025 0.00233 1 2.38 500.025 0.00233 1 2.4 51
h 0.025 0.00233 1 2.42 520.025 0.00233 1 2.44 530.025 0.00233 1 2.46 540.025 0.00233 1 2.48 550.025 0.00233 1 2.5 560.025 0.00233 1 2.52 57
0.025 0.00233 1 2.54 580.025 0.00233 1 2.56 590.025 0.00233 1 2.58 600.025 0.00233 1 2.6 610.025 0.00233 1 2.62 620.025 0.00233 1 2.64 630.025 0.00233 1 2.66 640.025 0.00233 1 2.68 650.025 0.00233 1 2.7 660.025 0.00233 1 2.72 670.025 0.00233 1 2.74 680.025 0.00233 1 2.76 690.025 0.00233 1 2.78 700.025 0.00233 1 2.8 710.025 0.00233 1 2.82 720.025 0.00233 1 2.84 730.025 0.00233 1 2.86 740.025 0.00233 1 2.88 750.025 0.00233 1 2.9 760.025 0.00233 1 2.92 770.025 0.00233 1 2.94 780.025 0.00233 1 2.96 790.025 0.00233 1 2.98 800.025 0.00233 1 3 810.025 0.00233 1 3.02 820.025 0.00233 1 3.04 830.025 0.00233 1 3.06 840.025 0.00233 1 1.88 85
b A P R V Q27 42.75 31.24264 1.368322 2.379744 101.734
26.96 43.2896 31.25921 1.384859 2.398879 103.846526.92 43.8284 31.27578 1.401353 2.417889 105.972226.88 44.3664 31.29235 1.417804 2.436774 108.110926.84 44.9036 31.30891 1.434211 2.455538 110.2625
26.8 45.44 31.32548 1.450576 2.474182 112.426826.76 45.9756 31.34205 1.466898 2.492707 114.603726.72 46.5104 31.35862 1.483177 2.511116 116.79326.68 47.0444 31.37519 1.499414 2.529409 118.994526.64 47.5776 31.39176 1.515608 2.547588 121.2081
26.6 48.11 31.40833 1.531759 2.565655 123.433726.56 48.6416 31.42489 1.547868 2.583612 125.67126.52 49.1724 31.44146 1.563935 2.601459 127.9226.48 49.7024 31.45803 1.579959 2.619199 130.180526.44 50.2316 31.4746 1.595941 2.636832 132.4523
26.4 50.76 31.49117 1.61188 2.65436 134.735326.36 51.2876 31.50774 1.627778 2.671784 137.029426.32 51.8144 31.52431 1.643633 2.689106 139.334426.28 52.3404 31.54087 1.659447 2.706326 141.650226.24 52.8656 31.55744 1.675218 2.723447 143.9766
26.2 53.39 31.57401 1.690948 2.740468 146.313626.16 53.9136 31.59058 1.706635 2.757392 148.660926.12 54.4364 31.60715 1.722281 2.774219 151.018526.08 54.9584 31.62372 1.737886 2.79095 153.386126.04 55.4796 31.64029 1.753448 2.807587 155.7638
27 58 32.65685 1.776044 2.831655 164.23627.96 60.5596 33.67342 1.798439 2.85541 172.922528.92 63.1584 34.68999 1.820652 2.878873 181.82529.88 65.7964 35.70656 1.842698 2.902067 190.945530.84 68.4736 36.72313 1.864591 2.925007 200.2858
31.8 71.19 37.7397 1.886343 2.947712 209.847632.76 73.9456 38.75627 1.907965 2.970195 219.632833.72 76.7404 39.77283 1.929468 2.992469 229.643334.68 79.5744 40.7894 1.95086 3.014546 239.880735.64 82.4476 41.80597 1.972149 3.036438 250.347
36.6 85.36 42.82254 1.993343 3.058153 261.04437.56 88.3116 43.83911 2.014448 3.079702 271.973438.52 91.3024 44.85568 2.03547 3.101091 283.13739.48 94.3324 45.87225 2.056416 3.122328 294.536740.44 97.4016 46.88881 2.077289 3.143421 306.1742
41.4 100.51 47.90538 2.098094 3.164375 318.051342.36 103.6576 48.92195 2.118836 3.185196 330.1698
43.32 106.8444 49.93852 2.139519 3.205891 342.531444.28 110.0704 50.95509 2.160145 3.226462 355.13845.24 113.3356 51.97166 2.180719 3.246917 367.9912
46.2 116.64 52.98823 2.201244 3.267258 381.092947.16 119.9836 54.00479 2.221721 3.287489 394.444848.12 123.3664 55.02136 2.242155 3.307615 408.048649.08 126.7884 56.03793 2.262546 3.327639 421.906150.04 130.2496 57.0545 2.282898 3.347564 436.0189
51 133.75 58.07107 2.303212 3.367394 450.38951.96 137.2896 59.08764 2.323491 3.387131 465.017852.92 140.8684 60.1042 2.343736 3.406777 479.907353.88 144.4864 61.12077 2.363949 3.426337 495.059154.84 148.1436 62.13734 2.384132 3.445811 510.4748
55.8 151.84 63.15391 2.404285 3.465202 526.156356.76 155.5756 64.17048 2.424411 3.484513 542.105257.72 159.3504 65.18705 2.44451 3.503745 558.323258.68 163.1644 66.20362 2.464584 3.522901 574.81259.64 167.0176 67.22018 2.484635 3.541982 591.5733
60.6 170.91 68.23675 2.504662 3.56099 608.608761.56 174.8416 69.25332 2.524667 3.579926 625.9262.52 178.8124 70.26989 2.544652 3.598793 643.508863.48 182.8224 71.28646 2.564616 3.617592 661.376864.44 186.8716 72.30303 2.584561 3.636323 679.5256
65.4 190.96 73.3196 2.604488 3.65499 697.956966.36 195.0876 74.33616 2.624397 3.673592 716.672367.32 199.2544 75.35273 2.644289 3.692132 735.673668.28 203.4604 76.3693 2.664165 3.71061 754.962269.24 207.7056 77.38587 2.684025 3.729028 774.54
70.2 211.99 78.40244 2.70387 3.747386 794.408571.16 216.3136 79.41901 2.723701 3.765687 814.569372.12 220.6764 80.43558 2.743517 3.78393 835.024173.08 225.0784 81.45214 2.763321 3.802117 855.774474.04 229.5196 82.46871 2.783111 3.820249 876.822
75 234 83.48528 2.802889 3.838326 898.168475.96 238.5196 84.50185 2.822655 3.856351 919.815276.92 243.0784 85.51842 2.84241 3.874322 941.764177.88 247.6764 86.53499 2.862153 3.892242 964.016681.24 156.2656 86.55744 1.80534 2.862709 447.343
Perencanaan Elevasi Mercu Bendung
elevasi sawah tertinggi1 Kehilangan tinggi tekan pada alat ukur2 Kehilangan tinggi tekan ketinggian saluran3 Kehilangan tinggi tekan dari sungai ke saluran primer4 Kehilangan tinggi tekan karena eksploitasi5 Kehilangan tinggi tekan untuk bangunan lain
Total kehilangan tinggi tekan
P = (Elevasi Peil Mercu - Elevasi Dasar Bendung)P = 3.52 m
157.5040.40 m 1554040.15 m0.20 m0.10 m0.25 m
= 158.604 m h=1,92 m
= 158,604-155,084
320 155084155.084
t = 1.5Bt = 83B = 80 mn = 2 buah
= 0.01
= 0
= 1.855 m
= 79.9258 m
Kp
Ka
He
Be
g = 9.8 m/det2P = 2.3 mC = 1.7 - 2.2L = 79.93 m
= 1.8543 m
Qd = 444
q = 5.5552
V = 1.3372
= 0.0912 m
= 1.4657 m
= 1.7631 m
He
m3/det
m3/det/m
m2/detHa
Hc
Hd
Contoh Perhitungan
catatan
L = Be
Contoh Perhitungan
Tabel Kemiringan Upstream Face Untuk Downstream Maka dy/dx = 1/1 = 1
Y =
dy/dx =
=
=Rumus lengkung mercu ogee X =
= 3.115022 Y Y =
Y =3.115022
XKoordinatnya menjadi sbb : 0
X Y 0.10 0 0.2
2.4556 1.337 0.30.5 0.072 0.41 0.257 0.5
1.5 0.541 0.62 0.918 0.7
2.5 1.382 0.83 1.932 0.9
3.5 2.564 14 3.276 1.1
4.5 4.067 1.25 4.935 1.3
5.5 5.878 1.46 6.897 1.5
6.5 7.988 1.67 9.153 1.7
7.5 10.39 1.88 11.7 1.9
22.12.22.3
1.836X0.836
X0.836
X1.836
X1.836
Untuk Downstream Maka dy/dx = 1/1 = 1
3.115022
3.115022
2.11922.4556
1.34
Y Yurut0 1.481396
0.004683 1.3652960.01672 1.253527
0.035199 1.146120.059693 1.0431110.089918 0.9445380.125668 0.8504390.166778 0.7608570.213114 0.6758380.264562 0.5954290.321025 0.5196830.382416 0.4486580.448658 0.3824160.519683 0.3210250.595429 0.2645620.675838 0.2131140.760857 0.1667780.850439 0.1256680.944538 0.0899181.043111 0.0596931.14612 0.035199
1.253527 0.016721.365296 0.0046831.481396 0
X1.836
(1.836X0.836)/(3.890949) = 1
0 0.5 1 1.5 2 2.50
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
Lengkung Bendung
0 0.5 1 1.5 2 2.50
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
Lengkung Bendung
Perencanaan Kolam Olak Tipe Vlughter
Ele. dasar = 195.084 m p = 2.3Ele. dasar hilir = 194.854 m he = 1.855Ele. Hilir = 196.77 melv. Mercu = 197.384Ruang Olak Tipe VlughterZ = 2.47 mZ/He = 1.3288409704 <4/3D=L=R = 5.306 ma = 0.3218380623 m
1.333333
Pintu Intakeluas daerah irigasi (A) = 2000kebuuhan air normal (a) = 1.5koef reduksi lengkung C = 0.8
Q = 2400 2.4
g = 9.81π = 0.9
0.385*π*b*akar2*g*h = 1.535 h^2/5a = 1.196
Ym = 1.763079 mYn = 2.18 mSo = 0.004141
L = -201.3865 m
No Titik LV LH Keadaan NormalA1 A1-A2 2.4 ΔHNA2 A2-A3 1A3 A3-A4 1.4A4 A4-A5 2 Lw perluA5 A5-A6 1.4A6 A6-A7 1A7 A7-A8 1.4 LwA8 A8-A9 2A9 A9-A10 1.4A10 A10-A11 1A11 A11-A12 1.4A12 A12-A13 3 Keadaan BanjirA13 A13-A14 3 ΔHNA14 A14-A15 1.04A15 A15-A16 2.5A16 A16-A17 1A17 A17-A18 1 Lw perluA18 A18-A19 1A19 A19-A20 1A20 A20-A21 1 LwA21 A21-A22 1A22 A22-A23 1A23 A23-A24 1A24 A24-A25 2.77A25 A25-A26 2.494
Σ 21.394 17.81
Keadaan Normal CL Lempung Lunak= Ele. Mercu - Ele. Dasar Sungai= 4.306
= CL . ΔHN Lw =6,34 > 6 OK= 25.836 ΔHN
= Σ Lv + (1/3ΣLH)27.3306666667 > Lw perlu oke
6.3471125561
Keadaan Banjir= Ele m.a udik - Ele m.a hilir= 4.156
Lw =6,57> 6 OK= CL . ΔHN ΔHN= 24.936
= Σ Lv + (1/3ΣLH)27.3306666667 > Lw perlu oke 6.5761950594
6
0.4676
Akibat Berat Sendiri
Segmen Berat (ton) Jarak Ke Titik Px (m)
1 4.16 1 2.4 9.984 7.292 0.24 1 2.4 0.576 7.493 0.8 1 2.4 1.92 7.054 2.96 1 2.4 7.104 6.275 3.48 1 2.4 8.352 5.276 3.48 1 2.4 8.352 4.277 3.48 1 2.4 8.352 3.278 9.66 1 2.4 23.184 1.359 0.08 1 2.4 0.192 7.15
10 0.17 1 2.4 0.408 6.8511 0.55 1 2.4 1.32 6.4512 0.17 1 2.4 0.408 6.0613 0.18 1 2.4 0.432 5.6514 0.25 1 2.4 0.6 5.5115 0.11 1 2.4 0.264 5.0916 0.5 1 2.4 1.2 4.4417 0.49 1 2.4 1.176 3.4418 0.93 1 2.4 2.232 2.09
76.056 Σ M
Luas (m2) Panjang (m)
ϒ (ton/m3)
Akibat Berat Sendiri Akibat Gempa
Momen Segmen Berat (ton) fMx (tonm)72.78336 1 4.16 1 2.4 9.984 0.24.31424 2 0.24 1 2.4 0.576 0.213.536 3 0.8 1 2.4 1.92 0.2
44.54208 4 2.96 1 2.4 7.104 0.244.01504 5 3.48 1 2.4 8.352 0.235.66304 6 3.48 1 2.4 8.352 0.227.31104 7 3.48 1 2.4 8.352 0.231.2984 8 9.66 1 2.4 23.184 0.21.3728 9 0.08 1 2.4 0.192 0.22.7948 10 0.17 1 2.4 0.408 0.28.514 11 0.55 1 2.4 1.32 0.2
2.47248 12 0.17 1 2.4 0.408 0.22.4408 13 0.18 1 2.4 0.432 0.23.306 14 0.25 1 2.4 0.6 0.2
1.34376 15 0.11 1 2.4 0.264 0.25.328 16 0.5 1 2.4 1.2 0.2
4.04544 17 0.49 1 2.4 1.176 0.24.66488 18 0.93 1 2.4 2.232 0.2
309.74616 76.056
Luas (m2) Panjang (m)
ϒ (ton/m3)
Akibat Gempa
Jarak Ke Titik P Momeny (m) My (tonm)0.01 0.0199682.5 0.288
2.74 1.052161.98 2.8131841.25 2.0880.25 0.4176-0.74 -1.236096-1.75 -8.11443.66 0.1405443.66 0.298656 3.97 1.048083.66 0.2986563.66 0.3162243.23 0.38763.15 0.166322.27 0.54481.34 0.3151680.31 0.138384Σ M 0.982848
Air Normal∑L = 27.3306666667ΔH = 4.306
Titik Hx (m) Lx (m) Ux (m) Bidang BA13 6.7093 10 5.1338
A13-A 1.1747A 6.7093 11.1747 4.9487
A-B 1B 5.7093 11.6718 3.8704
B-D 0.8282D 5.7093 12.5 3.7399
D-C 1C 6.7093 12.5 4.7399
C-F 1F 6.7093 13.5 4.5823
F-E 1E 7.7093 13.5 5.5823
E-H 1H 7.7093 14.5 5.4248
H-G 1G 8.7093 14.5 6.4248
G-J 1J 8.7093 15.5 6.2672
J-I 1I 9.7093 15.5 7.2672
I-K 1.5K 9.8 17 7.1216
K-L 1.8L 7.8893 18.387 4.9924
Air Banjir∑L = 27.3306666667ΔH = 4.156Hd = 1.7630792806
Titik Hx (m) Lx (m) Ux (m) Bidang BA13 8.4723793 10 6.8969
A13-A 1.1747A 8.4723793 11.1747 6.7118
A-B 1B 7.4723793 11.6718 5.6335
B-D 0.8282D 7.4723793 12.5 5.5030
D-C 1C 8.4723793 12.5 6.5030
C-F 1F 8.4723793 13.5 6.3454
F-E 1E 9.4723793 13.5 7.3454
E-H 1H 9.4723793 14.5 7.1879
H-G 1G 10.472379 14.5 8.1879
G-J 1J 10.472379 15.5 8.0303
J-I 1I 11.472379 15.5 9.0303
I-K 1.5K 11.563079 17 8.8847
K-L 1.8L 9.6523793 18.387 6.7555
Resume Gaya-gaya yang Bekerja
No. Gaya2 yg bekerjaVertikal (ton) Horisontal (ton)
1 Berat Sendiri 76.0562 Gaya Gempa3 Gaya Hidrostatis
m.a normal 1.044983 3.645m.a banjir 4.7551 4.041
4 Gaya Lumpur 0.9254 3.2285 Gaya Uplift
m.a normal 36.3757 6.5810m.a banjir 47.8409 8.6614
Kontrol Stabilitas Bendung
m.a normal= 41.6507 t
= 1.7572 t
= 309.74616 tm
= 199.6901886882 tm
a. Eksentrisitas
a =
a = 2.642358876 mB = 8.3963
e = | a - B/2 |e = 1.555791124
B/6 = 1.399383333
e < B/6 => 1.555791124 < 1.3993833
b. Guling
FK guling =
= 1.551133594 > 1.5
c. Geserf = 0.6
FK geser = fΣ H
= 14.22169302 > 1.5
d. Daya Dukung Tanah
σt max = (1 + 6e/B)B
Σ V
Σ H
Σ MR
Σ MG
Σ MR -Σ MGΣ V
Σ MRΣ MG
Σ V
Σ V
= 10.47563334 t/m2= 1.047563334 kg/cm2 < σt ijin
Gaya Uplift (t) Jarak Ke titik P (m) Momen (tonm)
5.9219 7.8979 46.7709477752
4.4095 0.5687 2.5077080227 -
3.1514 6.37015 20.0750135041
4.2399 0.5967 2.529948656
4.6611 5.4703 25.4977497257
5.0823 0.4033 2.0497111864 -
5.5036 4.4703 24.6026206473
5.9248 1.4033 8.3142671162 -
6.3460 3.4703 22.0225954814
6.7672 1.9868 13.4451617253 -
10.7916 2.262 24.4107034001
11.0237 2.0617 22.7276614985
188.6372406882
Σ VΣ HΣ M
Σ M
Gaya Uplift (t) Jarak Ke titik P (m) Momen (tonm)
7.9930 7.8979 63.1282034122
6.1726 0.5687 3.5103712096 -
4.6116 6.37015 29.3765935289
6.0030 0.5967 3.5819780628
6.4242 5.4703 35.1423223144
6.8454 0.4033 2.7607610603 -
7.2667 4.4703 32.4841139554
7.6879 1.4033 10.7883962707 -
8.1091 3.4703 28.1410095089
8.5303 1.9868 16.94804764 -
13.4363 2.262 30.3928313992
14.2326 2.0617 29.3432533047
251.5903054865
Horisontal (ton) Momen (tonm)
309.7461615.2112 0.982848
10.070116.9358.9167
188.6372406882251.5903054865
Σ VΣ HΣ M
Σ M
Kontrol Stabilitas Bendung
m.a banjir
a.
TIDAK OKE
b.
OKE
c.
OKE
d.
Σ V
Σ H
Σ MR
Σ MG
1.7 kg/cm2 OKE
= 36.3757 ton= 6.5810 ton= 188.637241 tonm
negatif
= 47.8409 ton= 8.6614 ton= 251.590305 tonm
Kontrol Stabilitas Bendung
m.a banjir= 33.8956 t
= 0.7192 t
= 309.74616 tm
= 269.508153 tm
Eksentrisitas
a =
a = 1.1871144795 mB = 8.3963
e = | a - B/2 |e = 3.0110355205
B/6 = 1.3993833333
e < B/6 => 3.0110355205 < 1.399383 TIDAK OKE
Guling
FK guling =
= 1.1493016296 > 1.5 TIDAK OKE
Geserf = 0.6
FK geser = fΣ H
= 28.276558275 > 1.5 OKE
Daya Dukung Tanah
σt max = (1 + 6e/B)B
Σ MR -Σ MGΣ V
Σ MRΣ MG
Σ V
Σ V
= 12.7232788555 t/m2= 1.2723278856 kg/cm2 < σt ijin 1.7
kg/cm2 OKE