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  • 0 1 2 3 4 5 6 7 8 9 10 110 0 0.1344 0.2784 0.6144 1.248 2.7552 4.128 5.2416 6.1248 6.528 6.6624 6.66241 -0.24 0.3264 1.3728 2.4192 3.7728 4.9824 6.144 7.0272 7.6512 8.0352 8.0352 8.03522 -0.36 0.5856 1.9008 3.2928 4.7232 5.9328 7.0176 7.7664 8.1792 8.208 8.208 8.2083 -0.44 0.7008 2.4096 4.0512 5.4336 6.5856 7.5072 8.1024 8.208 8.208 8.208 8.2084 -0.50 0.7296 2.9472 4.704 6.0864 7.104 7.872 8.208 8.208 8.208 8.208 8.2085 -0.65 0.8352 3.6096 5.3472 6.5664 7.4976 8.0736 8.208 8.208 8.208 8.208 8.2086 -0.54 1.536 4.32 5.9808 7.0176 7.7856 8.208 8.208 8.208 8.208 8.208 8.2087 0.691 2.7264 5.0592 6.4704 7.4304 7.9968 8.208 8.208 8.208 8.208 8.208 8.2088 1.06 3.7728 5.712 6.9312 7.728 8.16 8.208 8.208 8.208 8.208 8.208 8.208

    2.1 Calculul ariei suprafeei plutirii prin metoda trapezelor

    Calcul AW0

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0 0.1344 0.2784 0.6144 1.248 2.7552 4.128 5.2416 6.1248 6.528Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.1344 0.5568 1.2288 2.496 5.5104 8.256 10.4832 12.2496 13.056

    Calcul AW1

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.24 0.3264 1.3728 2.4192 3.7728 4.9824 6.144 7.0272 7.6512 8.0352Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.3264 2.7456 4.8384 7.5456 9.9648 12.288 14.0544 15.3024 16.0704

    Calcul AW2

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.36 0.5856 1.9008 3.2928 4.7232 5.9328 7.0176 7.7664 8.1792 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.5856 3.8016 6.5856 9.4464 11.8656 14.0352 15.5328 16.3584 16.416

    Calcul AW3

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.44 0.7008 2.4096 4.0512 5.4336 6.5856 7.5072 8.1024 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.7008 4.8192 8.1024 10.8672 13.1712 15.0144 16.2048 16.416 16.416

  • Calcul AW4

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.50 0.7296 2.9472 4.704 6.0864 7.104 7.872 8.208 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.7296 5.8944 9.408 12.1728 14.208 15.744 16.416 16.416 16.416

    Calcul AW5

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.65 0.8352 3.6096 5.3472 6.5664 7.4976 8.0736 8.208 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 0.8352 7.2192 10.6944 13.1328 14.9952 16.1472 16.416 16.416 16.416

    Calcul AW6

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.54 1.536 4.32 5.9808 7.0176 7.7856 8.208 8.208 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 1.536 8.64 11.9616 14.0352 15.5712 16.416 16.416 16.416 16.416

    Calcul AW7

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0.691 2.7264 5.0592 6.4704 7.4304 7.9968 8.208 8.208 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 2.7264 10.1184 12.9408 14.8608 15.9936 16.416 16.416 16.416 16.416

    Calcul AW8

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 1.06 3.7728 5.712 6.9312 7.728 8.16 8.208 8.208 8.208 8.208Coeficient 0 1 2 2 2 2 2 2 2 2Ordonata* Coeficient 0 3.7728 11.424 13.8624 15.456 16.32 16.416 16.416 16.416 16.416

    2.2 CALCULUL ABSCISEI CENTRULUI GEOMETRIC AL SUPRAFETEI PLUTIRIIXF0

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0 0.1344 0.2784 0.6144 1.248 2.7552 4.128 5.2416 6.1248 6.528Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 0 -1.2096 -2.2272 -4.3008 -7.488 -13.776 -16.512 -15.7248 -12.2496 -6.528

  • XF1

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.24 0.3264 1.3728 2.4192 3.7728 4.9824 6.144 7.0272 7.6512 8.0352Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 2.4 -2.9376 -10.9824 -16.9344 -22.6368 -24.912 -24.576 -21.0816 -15.3024 -8.0352

    XF2

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.36 0.5856 1.9008 3.2928 4.7232 5.9328 7.0176 7.7664 8.1792 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 3.6 -5.2704 -15.2064 -23.0496 -28.3392 -29.664 -28.0704 -23.2992 -16.3584 -8.208

    XF3

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.44 0.7008 2.4096 4.0512 5.4336 6.5856 7.5072 8.1024 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 4.4 -6.3072 -19.2768 -28.3584 -32.6016 -32.928 -30.0288 -24.3072 -16.416 -8.208

    XF4

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.50 0.7296 2.9472 4.704 6.0864 7.104 7.872 8.208 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 5 -6.5664 -23.5776 -32.928 -36.5184 -35.52 -31.488 -24.624 -16.416 -8.208

    XF5

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.65 0.8352 3.6096 5.3472 6.5664 7.4976 8.0736 8.208 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient 6.5 -7.5168 -28.8768 -37.4304 -39.3984 -37.488 -32.2944 -24.624 -16.416 -8.208

    XF6

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.54 1.536 4.32 5.9808 7.0176 7.7856 8.208 8.208 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

  • Ordonata* Coeficient 5.4 -13.824 -34.56 -41.8656 -42.1056 -38.928 -32.832 -24.624 -16.416 -8.208

    XF7

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0.691 2.7264 5.0592 6.4704 7.4304 7.9968 8.208 8.208 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient -6.91 -24.5376 -40.4736 -45.2928 -44.5824 -39.984 -32.832 -24.624 -16.416 -8.208

    XF8Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 1.06 3.7728 5.712 6.9312 7.728 8.16 8.208 8.208 8.208 8.208Coeficient -10 -9 -8 -7 -6 -5 -4 -3 -2 -1Ordonata* Coeficient -10.6 -33.9552 -45.696 -48.5184 -46.368 -40.8 -32.832 -24.624 -16.416 -8.208

    2.3 Calculul momentului de inerie fa de axa longitudinal

    IL0

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0 0.1344 0.2784 0.6144 1.248 2.7552 4.128 5.2416 6.1248 6.528Ordonata la a 3a 0 0.0024277 0.0215778 0.2319282 1.943765 20.915073 70.342705 144.00966 229.76069 278.18931

    IL1

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.24 0.3264 1.3728 2.4192 3.7728 4.9824 6.144 7.0272 7.6512 8.0352Ordonata la a 3a -0.013824 0.0347737 2.5871512 14.158437 53.70211 123.68464 231.92823 347.01396 447.90784 518.78818

    IL2

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.36 0.5856 1.9008 3.2928 4.7232 5.9328 7.0176 7.7664 8.1792 8.208Ordonata la a 3a -0.046656 0.2008183 6.8676676 35.702289 105.36807 208.82338 345.59371 468.44571 547.18286 552.98333

    IL3

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.44 0.7008 2.4096 4.0512 5.4336 6.5856 7.5072 8.1024 8.208 8.208Ordonata la a 3a -0.085184 0.3441773 13.990552 66.489191 160.42166 285.61831 423.09117 531.91353 552.98333 552.98333

  • IL4

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.50 0.7296 2.9472 4.704 6.0864 7.104 7.872 8.208 8.208 8.208Ordonata la a 3a -0.125 0.3883779 25.599343 104.08831 225.46621 358.51626 487.81512 552.98333 552.98333 552.98333

    IL5

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.65 0.8352 3.6096 5.3472 6.5664 7.4976 8.0736 8.208 8.208 8.208Ordonata la a 3a -0.274625 0.5826013 47.030244 152.89007 283.12747 421.47013 526.26161 552.98333 552.98333 552.98333

    IL6

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.54 1.536 4.32 5.9808 7.0176 7.7856 8.208 8.208 8.208 8.208Ordonata la a 3a -0.157464 3.6238787 80.621568 213.93303 345.59371 471.92856 552.98333 552.98333 552.98333 552.98333

    IL7

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0.691 2.7264 5.0592 6.4704 7.4304 7.9968 8.208 8.208 8.208 8.208Ordonata la a 3a 0.3299394 20.266032 129.49278 270.89026 410.23866 511.38585 552.98333 552.98333 552.98333 552.98333

    IL8

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 1.06 3.7728 5.712 6.9312 7.728 8.16 8.208 8.208 8.208 8.208Ordonata la a 3a 1.191016 53.70211 186.3651 332.98548 461.53149 543.3385 552.98333 552.98333 552.98333 552.98333

    2.4 Calculul momentului de inerie fa de axa longitudinal

    IY0

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0 0.1344 0.2784 0.6144 1.248 2.7552 4.128 5.2416 6.1248 6.528Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata 0 10.8864 17.8176 30.1056 44.928 68.88 66.048 47.1744 24.4992 6.528

    IY1

  • Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.24 0.3264 1.3728 2.4192 3.7728 4.9824 6.144 7.0272 7.6512 8.0352Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -24 26.4384 87.8592 118.5408 135.8208 124.56 98.304 63.2448 30.6048 8.0352

    IY2

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.36 0.5856 1.9008 3.2928 4.7232 5.9328 7.0176 7.7664 8.1792 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -36 47.4336 121.6512 161.3472 170.0352 148.32 112.2816 69.8976 32.7168 8.208

    IY3

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.44 0.7008 2.4096 4.0512 5.4336 6.5856 7.5072 8.1024 8.208 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -44 56.7648 154.2144 198.5088 195.6096 164.64 120.1152 72.9216 32.832 8.208

    IY4

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.50 0.7296 2.9472 4.704 6.0864 7.104 7.872 8.208 8.208 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -50 59.0976 188.6208 230.496 219.1104 177.6 125.952 73.872 32.832 8.208

    IY5

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata -0.65 0.8352 3.6096 5.3472 6.5664 7.4976 8.0736 8.208 8.208 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -65 67.6512 231.0144 262.0128 236.3904 187.44 129.1776 73.872 32.832 8.208

    IY6

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9

  • Ordonata -0.54 1.536 4.32 5.9808 7.0176 7.7856 8.208 8.208 8.208 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form la a2a*Ordonata -54 124.416 276.48 293.0592 252.6336 194.64 131.328 73.872 32.832 8.208

    IY7

    Nr.ordonata 0 1 2 3 4 5 6 7 8 9Ordonata 0.691 2.7264 5.0592 6.4704 7.4304 7.9968 8.208 8.208 8.208 8.208Coeficient formula 10 9 8 7 6 5 4 3 2 1Coeficient formula 10 9 8 7 6 5 4 3 2 1Coef Form