Metnum Rico Daniel Sumendap (Perbaikkan 2)
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UNTUK BEBAN q = 5 t/m No. X(meter) f(x) 1 f(x) 0 0.000 f'(x) 2 f(x) 0.2 1.666 f'(x) 3 f(x) 0.4 3.328 4 f(x) 0.6 4.982 ΔX 5 f(x) 0.8 6.624 6 f(x) 1 8.250 7 f(x) 1.2 9.856 8 f(x) 1.4 11.438 9 f(x) 1.6 12.992 10 f(x) 1.8 14.514 11 f(x) 2 16.001 12 f(x) 2.2 17.447 13 f(x) 2.4 18.849 14 f(x) 2.6 20.203 15 f(x) 2.8 21.505 16 f(x) 3 22.751 17 f(x) 3.2 23.937 18 f(x) 3.4 25.059 f(x) = -0.0833x 3 - 0.00006x 2 + 83336x - 0.00004 f'(x) = -0.2499x 2 - 0.00012x 2 + 8.3336
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Transcript of Metnum Rico Daniel Sumendap (Perbaikkan 2)
UNTUK BEBAN q = 5 t/m
No. X(meter) f(x) X(meter)1 f(x) 0 0.000 f'(x) 0 8.33362 f(x) 0.2 1.666 f'(x) 10 -16.66843 f(x) 0.4 3.3284 f(x) 0.6 4.982 ΔX 0.25 f(x) 0.8 6.6246 f(x) 1 8.2507 f(x) 1.2 9.8568 f(x) 1.4 11.4389 f(x) 1.6 12.992
10 f(x) 1.8 14.51411 f(x) 2 16.00112 f(x) 2.2 17.44713 f(x) 2.4 18.84914 f(x) 2.6 20.20315 f(x) 2.8 21.50516 f(x) 3 22.75117 f(x) 3.2 23.93718 f(x) 3.4 25.059
f(x) = -0.0833x3 - 0.00006x2 + 83336x - 0.00004f'(x) = -0.2499x2 - 0.00012x2 + 8.3336
19 f(x) 3.6 26.11420 f(x) 3.8 27.09621 f(x) 4 28.00222 f(x) 4.2 28.82823 f(x) 4.4 29.57124 f(x) 4.6 30.22525 f(x) 4.8 30.78826 f(x) 5 31.25427 f(x) 5.2 31.62028 f(x) 5.4 31.88329 f(x) 5.6 32.03730 f(x) 5.8 32.08031 f(x) 6 32.00732 f(x) 6.2 31.81333 f(x) 6.4 31.49634 f(x) 6.6 31.05135 f(x) 6.8 30.47336 f(x) 7 29.76037 f(x) 7.2 28.90738 f(x) 7.4 27.91039 f(x) 7.6 26.76540 f(x) 7.8 25.46841 f(x) 8 24.01542 f(x) 8.2 22.40243 f(x) 8.4 20.62644 f(x) 8.6 18.68145 f(x) 8.8 16.56446 f(x) 9 14.27247 f(x) 9.2 11.79948 f(x) 9.4 9.14349 f(x) 9.6 6.29850 f(x) 9.8 3.26251 f(x) 10 0.000
0 2 4 6 8 10 12
-5.000
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Bidang Momen Untuk (q = 5 t/m)
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Metode Integrasi Hasil ErrorEksak 208.3907 0%Metode Trapesium (banyak pias) 208.3233 0.03234%Metode Trapesium (koreksi ujung) 208.4066 0.00765%Metode Simpson 1/3 (satu pias) 208.3597 0.01489%Metode Simpson 1/3 (banyak pias) 208.3787 0.00576%
0 2 4 6 8 10 12
-5.000
0.000
5.000
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25.000
30.000
35.000
Bidang Momen Untuk (q = 5 t/m)
meter
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UNTUK BEBAN q = 8 t/m
No. X(meter) f(x) X(meter)1 f(x) 0 0.000 f'(x) 0 13.33382 f(x) 0.2 2.666 f'(x) 10 -26.67543 f(x) 0.4 5.3254 f(x) 0.6 7.971 ΔX 0.25 f(x) 0.8 10.5996 f(x) 1 13.2007 f(x) 1.2 15.7708 f(x) 1.4 18.3019 f(x) 1.6 20.788 0.3999
10 f(x) 1.8 23.223 0.00019211 f(x) 2 25.601 13.333812 f(x) 2.2 27.91413 f(x) 2.4 30.15814 f(x) 2.6 32.32415 f(x) 2.8 34.40816 f(x) 3 36.40117 f(x) 3.2 38.29918 f(x) 3.4 40.09519 f(x) 3.6 41.78120 f(x) 3.8 43.35321 f(x) 4 44.80222 f(x) 4.2 46.12423 f(x) 4.4 47.31224 f(x) 4.6 48.35825 f(x) 4.8 49.25826 f(x) 5 50.00427 f(x) 5.2 50.59028 f(x) 5.4 51.01029 f(x) 5.6 51.25730 f(x) 5.8 51.32431 f(x) 6 51.20632 f(x) 6.2 50.89733 f(x) 6.4 50.38934 f(x) 6.6 49.67635 f(x) 6.8 48.75236 f(x) 7 47.61037 f(x) 7.2 46.24438 f(x) 7.4 44.64839 f(x) 7.6 42.81640 f(x) 7.8 40.74041 f(x) 8 38.415
0 2 4 6 8 10 12
-10.000
0.000
10.000
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Bidang Momen Untuk (q = 8 t/m)
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f(x) = -0.1333x3 - 0.000096x2 + 13.3338x - 0.000064f'(x) = -0.3999x2 - 0.000192x2 + 13.3338
42 f(x) 8.2 35.83343 f(x) 8.4 32.99044 f(x) 8.6 29.87745 f(x) 8.8 26.49046 f(x) 9 22.82147 f(x) 9.2 18.86448 f(x) 9.4 14.61249 f(x) 9.6 10.06050 f(x) 9.8 5.20151 f(x) 10 0.028
Metode Integrasi Hasil ErrorEksak 333.425 0%Metode Trapesium (banyak pias) 333.2741 0.04527%Metode Trapesium (koreksi ujung) 333.4074 0.00527%Metode Simpson 1/3 (satu pias) 333.4074 0.00529%Metode Simpson 1/3 (banyak pias) 333.3655 0.01783%
0 2 4 6 8 10 12
-10.000
0.000
10.000
20.000
30.000
40.000
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Bidang Momen Untuk (q = 8 t/m)
meter
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Bidang Momen Untuk (q = 8 t/m)0 0
5.7735 32.0752.5 19.531
3.333 24.6915 31.25
6.667 30.86427.5 27.3437510 0
1666.356 1666.3561616.352 1658.489
704.032 1616.380912.349
1 1.4208172 2.129113 3.1872754 4.2377595 5.2780036 6.3054467 7.3175318 8.3116969 9.285384
10 10.2360311 11.1610912 12.0579913 12.9241714 13.7570815 14.5541516 15.3128317 16.0305618 16.7047719 17.3329220 17.9124321 18.4407522 18.9153223 19.3335924 19.6929825 19.9909526 20.2249327 20.3923628 20.4906929 20.5173630 20.4697931 20.3454532 20.14176
33 19.8561734 19.4861235 19.0290436 18.4823937 17.8435938 17.110139 16.2793540 15.3487741 14.3158342 13.1779443 11.9325644 10.5771245 9.10906846 7.52584247 5.82488248 4.00362949 2.05952350 0.35429451 0.001889
0
UNTUK BEBAN q = 8 t/m
No. X(meter) f(x) X(meter)1 f(x) 0 0.000 f'(x) 0 16.66722 f(x) 0.2 3.332 f'(x) 10 -33.34523 f(x) 0.4 6.6564 f(x) 0.6 9.964 ΔX 0.25 f(x) 0.8 13.2486 f(x) 1 16.5007 f(x) 1.2 19.7128 f(x) 1.4 22.8779 f(x) 1.6 25.985 0.5001
10 f(x) 1.8 29.029 0.00002411 f(x) 2 32.001 13.333812 f(x) 2.2 34.89313 f(x) 2.4 37.69714 f(x) 2.6 40.40515 f(x) 2.8 43.00916 f(x) 3 45.50117 f(x) 3.2 47.87218 f(x) 3.4 50.11619 f(x) 3.6 52.22420 f(x) 3.8 54.18821 f(x) 4 56.00022 f(x) 4.2 57.65123 f(x) 4.4 59.13524 f(x) 4.6 60.44325 f(x) 4.8 61.56726 f(x) 5 62.49827 f(x) 5.2 63.23028 f(x) 5.4 63.75329 f(x) 5.6 64.06130 f(x) 5.8 64.14431 f(x) 6 63.99532 f(x) 6.2 63.60733 f(x) 6.4 62.97034 f(x) 6.6 62.07735 f(x) 6.8 60.92136 f(x) 7 59.49237 f(x) 7.2 57.78338 f(x) 7.4 55.78639 f(x) 7.6 53.49340 f(x) 7.8 50.89641 f(x) 8 47.986
0 2 4 6 8 10 12
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20.000
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40.000
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Bidang Momen Untuk (q = 10 t/m)
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f(x) = -0.1667x3 - 0.000012x2 + 16.6672x - 0.00008f'(x) = -0.5001x2 - 0.000024x2 + 16.6672
42 f(x) 8.2 44.75743 f(x) 8.4 41.20044 f(x) 8.6 37.30645 f(x) 8.8 33.06946 f(x) 9 28.47947 f(x) 9.2 23.53048 f(x) 9.4 18.21249 f(x) 9.6 12.51850 f(x) 9.8 6.44151 f(x) 10 -0.029
Metode Integrasi Hasil ErrorEksak 416.7814 0%Metode Trapesium (banyak pias) 416.4385 0.08227%Metode Trapesium (koreksi ujung) 416.6052 0.04227%Metode Simpson 1/3 (satu pias) 416.6052 0.04228%Metode Simpson 1/3 (banyak pias) 416.5464 0.05639%
0 2 4 6 8 10 12
-10.000
0.000
10.000
20.000
30.000
40.000
50.000
60.000
70.000
Bidang Momen Untuk (q = 10 t/m)
meter
ton.
met
er
Bidang Momen Untuk (q = 10 t/m)0 0
5.7735 32.0752.5 19.531
3.333 24.6915 31.25
6.667 30.86427.5 27.3437510 0
2082.207 2082.2072019.709 2072.435
880.004 2019.6801139.676
1 1.7760192 2.6613853 3.9840914 5.2971955 6.5974966 7.8817937 9.1468878 10.389579 11.60666
10 12.7949311 13.951212 15.0722713 16.1549214 17.1959715 18.192216 19.1404317 20.0374518 20.8800519 21.6650420 22.3892221 23.0493922 23.6423423 24.1648824 24.613825 24.9859126 25.27827 25.4868828 25.6093329 25.6421730 25.5821931 25.4261932 25.17097
33 24.8133334 24.3500735 23.7779836 23.0938737 22.2945438 21.3767939 20.3374140 19.173241 17.8809742 16.4575143 14.8996344 13.2041245 11.3677746 9.38740447 7.25980348 4.98177249 2.5501150 0.42156751 -0.001952
0
0 2 4 6 8 10 12
-10.000
0.000
10.000
20.000
30.000
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50.000
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Bidang Momen Gabungan
Bidang Momen Untuk (q = 10 t/m)Polynomial (Bidang Momen Untuk (q = 10 t/m))Bidang Momen Untuk (q = 5 t/m)Bidang Momen Untuk (q = 8 t/m)
meter
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0 2 4 6 8 10 12
-10.000
0.000
10.000
20.000
30.000
40.000
50.000
60.000
70.000
Bidang Momen Gabungan
Bidang Momen Untuk (q = 10 t/m)Polynomial (Bidang Momen Untuk (q = 10 t/m))Bidang Momen Untuk (q = 5 t/m)Bidang Momen Untuk (q = 8 t/m)
meter
ton.
met
er
