Longitudinal Strenght - Ship Structures - 8.3.5

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  • MA Ka

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    :

    1.006c = 3m

    kN10.0559.811.025g === iR KVLF KVLFc

    0 11.275 114.0503458 40.537 410.04513221 73.612 744.609672

    1 99.163 1003.0664692 115.949 1172.8623983 142.219 1438.5921174 149.098 1508.1754725 149.098 1508.1754726 149.098 1508.1754727 141.821 1434.5662168 108.455 1097.058115

    8 81.081 820.16107179 51.025 516.1347133

    9 21.62 218.693434610 0 0

    ]mkN[10gLH43.4m 4=

    m -

    h2.5CNWCdCDCBCH 5T04321 +++++= H- B - ( m 20.4B = ) D - ( m 11.8D = ) d - KVL ( m 7.7d = ) TN - , ( TN = 6) h - , (h = DBAd = 1.3m ) DDn4321 N),f(NCC,C,C,C = - ( 2ND = ), Fig. 1(b) 0W )f(L W- PP0 = ,Fig.1(a) 5C )N,f(LC - DPP5 = , Fig.2

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    1C 1.6

    2C 1

    3C 0.9

    4C 0.8

    5C -5

    0W 0.325

    50.181.32.55-60.3250.87.70.911.8120.41.6H =++++= ]

    mkN[245.69109.8111550.1843.4m 4 ==

    (Lloyd) 4 and 3 Fig.0.677C)f(Ca BB ==

    Lm0.00175Lm0.01133k)m(a3dPtrupa ++=

    5.7520

    11520Ld ===

    [kN] 23189.657115249.690.00175115249.690.0113311906.1343

    5.75Ptrupa =++=

    iR a ma k kma 0 0.34 83.535 1 83.535 1 0.495 121.616 4 486.464 2 0.62 152.328 2 304.656 3 0.725 178.125 4 712.5 4 0.815 200.237 2 400.474 5 0.885 217.436 4 869.744 6 0.935 229.72 2 459.44 7 0.975 239.548 4 958.192 8 1 249.69 2 491.38 9 1 249.69 4 982.76

    10 1 249.69 2 491.38 11 1 249.69 4 982.76 12 1 249.69 2 491.38 13 0.98 240.776 4 963.104 14 0.965 237.09 2 474.18 15 0.92 226.035 4 904.14 16 0.85 208.837 2 417.674 17 0.745 183.039 4 732.156 18 0.595 146.185 2 292.37 19 0.38 93.362 4 373.448 20 0.14 34.397 1 34.397

    11906.134

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    1. l - ( m 8.625l = )

    gV0.0897W = hAV = - m 2.1h =

    2m 48.5875A = 3m 102.033752.148.5875V ==

    [kN] 89.7859.81102.033750.0897W == = = =2 W 2 89.785 kNq 20.81 [ ]l 8.625 m

    2.

    gV0.1185W = - V - III VV = - IVIII VV = -

    ]mkN[

    lWq = -

    ]mkN[

    lWq

    1

    11 =

    ]808.532[kN9.81695.520.1185Wm 695.52)V(V 3III ===+ ]386.689[kN9.81332.640.1185Wm 332.64)V(V 1

    3IVIII ===+

    ]mkN[ 59.89

    13.5808.532

    lWq ===

    ]mkN[ 85.93

    4.5386.689

    lWq

    1

    11 ===

    3.

    - :

    ]mkN[

    L0.02W

    lWq

    PP==

    -42 10gL43.75W PP = [kN] 567.6109.8111543.75W -42 == ]

    mkN[ 246.783

    1150.02567.6

    L0.02W

    lWq

    PP

    ====

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    - :

    ]mkN[

    L0.02W

    lWq

    PP==

    -42 10gL10.94W PP = [kN] 141.933109.8111510.94W -42 == ]

    mkN[ 61.709

    1150.02141.933

    L0.02W

    lWq

    PP

    ====

    4. - :

    ]mkN[

    L0.02W

    lWq

    PP==

    [kN] g10])n5(S.W.L)[(0.008W b2 ++=

    15t(Mp)S.W.L = - 4(2)nb = -

    [kN] g10])n5(S.W.L)[(0.008W b2 ++=

    = = + + =2b 1n 4 W [(0.008 4 (15) 5 4) 10] 9.81 317.334 [kN] [kN] 231.5169.8110]2)5(15)2[(0.008W2n 22b =++==

    = = = = = b PPW W 317.334 kNn 4 q 158.667 [ ]l 0.02 L 0.02 115 m

    ]mkN[ 100.659

    1150.02231.516

    L0.02W

    lWq2n

    PPb =====

    - :

    ]mkN[

    L0.02W

    lWq

    PP==

    2.3m1150.02L0.02l === [kN] 9.2999.8180.1185 W gV0.1185W ===

    3m 8222V == () ]

    mkN[ 4.043

    2.39.299

    L0.02W

    lWq

    PP

    ==== 5.

    ]mkN[

    lWq

    e

    = [kN] g]l0.73)L(0.011[WW em ++= mW - ( =mW 550 t ) el - ( 20.25mle = )

    = + + =W [550 (0.011 115 0.73) 20.25] 9.81 5791.812 [kN] = = =

    e

    W 5791.812 kNq 286.015 [ ]l 20.25 m

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    6.

    ]mkN[

    lWq

    S

    = [kN] gS)L(0.0164lW S += Sl - ( 5.75lS = )

    =

    LlfS S - Fig.5 ( 2.4

    1155.75f

    LlfS S =

    =

    = )

    [kN] 247.769.812.4)115(0.01645.75W =+= ]

    mkN[ 43.09

    5.75247.76

    lWq

    S

    ===

    == =6lok. i

    i 1P W 89.785+808.532+386.689+567.6+141.933+317.334+231.516+

    +9.299+5791.812+247.76 = 8687.462 [kN]

    ]mkN[

    lPqnadgradja

    zaliha= KVLzaliha D0.07)(0.05P =

    = = = =3 3KVL KVL KVLD 12558.172 m D [kN] D [m ] g 12558.172 1025 9.81 127033.667 [kN]= =zaliha KVL zaliha KVLP (0.05 0.07) D P [0.07 D ] 8892.357 [kN]

    ==

    tereta KVL trupa zaliha lok.

    tereta

    P D -P -P -PP 127033.667 - 23189.657 -8687.462-8892.357 = 86262.191[kN]

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    f f f 0 84.468 0 84.468 118.893 0.774 118.119 1 155.091 5.478 149.613

    1 182.496 9.588 172.908 2 199.056 13.5 185.556 3 224.757 19.506 205.251 4 232.695 22.182 210.513 5 232.695 22.182 210.513 6 232.695 22.182 210.513 7 225.255 20.055 205.2 8 178.434 13.437 164.997

    8 138.681 9.102 129.579 9 92.853 4.851 88.002

    9 48.429 0.99 47.439 10 7.86 0 7.86

    F ki iskladista kF teretaskladistaFq =

    2 192.92 0.332609 64.16687 983.892 2 199.816 1.330435 265.8422 1019.062 3 205.251 1.332609 273.5193 1046.78 4 210.513 4 842.052 1073.616 5 210.513 2 421.026 1073.616 6 210.513 4 842.052 1073.616 7 205.2 2 410.4 1046.52 8 164.997 4 659.988 841.4847 9 88.002 1.234783 108.6633 448.8102

    9 68.71 0.93913 64.52765 350.421 9 49.864 0.234783 11.7072 254.3064

    3963.944

    15195.1193963.9443

    11.5kF3dV iitereta ===

    = =teretateretatereta

    P 86262.191 = 5.677 [kN]V 15195.119

    teretaRteretaRteretateretatereta Fq

    LLF

    LV

    LPq ===

    =

  • 1 2 3 4 5 6 7 8 9

    b (x) a (x) a (x) q (x) q (x) q (x) q(x) q(x)sr q(x) kN/m kN/m kN/m kN/m kN/m kN/m kN/m kN/m kN/m

    : (2) (1)-(2) (4) (5)

    Lx

    (5)+(6) (8) 0 0 0 0 0 0

    0-1 84.5000 36.3000 48.200 23.883 1 36.300 48.200 -0.435 47.765 23.883

    1-2 148.4400 287.0000 -138.560 -21.732 2 323.300 -90.360 -0.869 -91.229 2.151

    2-3 593.5400 641.5200 -47.980 -115.437 3 964.820 -138.340 -1.304 -139.644 -113.286

    3-4 1137.2600 947.0800 190.180 -44.771 4 1911.900 51.840 -1.738 50.102 -158.057

    4-5 1242.9400 1146.5400 96.400 98.084 5 3058.440 148.240 -2.173 146.067 -59.973

    5-6 1321.0200 1317.8600 3.160 147.430 6 4376.300 151.400 -2.608 148.792 87.457

    6-7 1392.6800 1434.7400 -42.060 127.545 7 5811.040 109.340 -3.042 106.298 215.002

    7-8 1423.6600 1488.7000 -65.040 73.561 8 7299.740 44.300 -3.477 40.823 288.563

    8-9 1494.3000 1507.2600 -12.960 34.126 9 8807.000 31.340 -3.911 27.429 322.689

    9-10 1434.7800 1508.1760 -73.396 -9.487 10 10315.176 -42.056 -4.346 -46.402 313.202

    10-11 1434.7800 1508.1760 -73.396 -83.317 11 11823.352 -115.452 -4.781 -120.233 229.885

    11-12 1434.7800 1508.1760 -73.396 -157.148 12 13331.528 -188.848 -5.215 -194.063 72.737

    12-13 1430.6000 1500.4800 -69.880 -229.221 13 14832.008 -258.728 -5.650 -264.378 -156.484

    13-14 1413.3000 1463.1600 -49.860 -289.525 14 16295.168 -308.588 -6.084 -314.672 -446.009

    14-15 1347.2400 1372.2200 -24.980 -327.380 15 17667.388 -333.568 -6.519 -340.087 -773.388

    15-16 1242.2400 1178.4200 63.820 -308.394 16 18845.808 -269.748 -6.954 -276.702 -1081.783

    16-17 967.1800 894.1000 73.080 -240.379 17 19739.908 -196.668 -7.388 -204.056 -1322.162

    17-18 671.0000 574.0000 97.000 -155.774 18 20313.908 -99.668 -7.823 -107.491 -1477.935

    18-19 336.7200 252.8200 83.900 -65.758 19 20566.728 -15.768 -8.257 -24.025 -1543.693

    19-20 56.3600 31.9000 24.460 -12.013 20 20598.628 8.692 -8.692 0.000 -1555.706

  • 10 11 12 13 14 15 16 17 18 Q (x) M (x) M (x) M (x) a* (x) Q (x) M (x) Q (x) M (x) kN kNm kNm kNm kN/m kN kNm kN kNm

    : (7)xL (9)xL2 (11)

    Lx

    (11)+(12) x(14) xLx(3) (10)+(15) (11)+(16) 0 0 0 0 0 0 0 0 0 0

    0-1 1 295.250 912.507 131.886 61.569 104.749 356.819 1017.255

    1-2 2 -563.910 82.177 461.468 215.430 932.927 -348.480 1015.104

    2-3 3 -863.173 -4328.403 813.390 379.721 2784.121 -483.452 -1544.282

    3-4 4 309.691 -6039.011 1057.728 493.787 5517.051 803.477 -521.959

    4-5 5 902.877 -2291.420 1235.786 576.911 8825.551 1479.788 6534.130

    5-6 6 919.723 3341.552 1389.064 648.467 12628.418 1568.190 15969.969

    6-7 7 657.053 8214.776 1469.466 686.002 16768.558 1343.055 24983.334

    7-8 8 252.338 11025.365 1502.792 701.559 21064.407 953.898 32089.772

    8-9 9 169.543 12329.242 1508.176 704.073 25413.814 873.616 37743.056

    9-10 10 -286.822 11966.776 1508.176 704.073 29765.864 417.250 41732.639

    10-11 11 -743.188 8783.400 1508.176 704.073 34117.914 -39.115 42901.314

    11-12 12 -1199.553 2779.117 1508.176 704.073 38469.964 -495.480 41249.081

    12-13 13 -1634.185 -5978.906 1487.652 694.491 42799.806 -939.694 36820.900

    13-14 14 -1945.069 -17041.038 1430.646 667.879 47021.956 -1277.190 29980.918

    14-15 15 -2102.163 -29549.513 1296.250 605.138 50981.686 -1497.025 21432.173

    15-16 16 -1710.362 -41332.597 1043.768 487.270 54382.180 -1223.092 13049.583

    16-17 17 -1261.322 -50516.958 739.334 345.149 56962.229 -916.174 6445.271

    17-18 18 -664.428 -56468.729 404.168 188.681 58618.585 -475.747 2149.856

    18-19 19 -148.507 -58981.204 120.368 56.192 59348.132 -92.315 366.928

    19-20 20 0 -59440.184 0 0 59440.184 0 0

  • 19 20 21 22 23 24 25 26 27

    (x) Mxx (Mxx)sr Mxx (Mxx)sr Mxx

    EI

    L2

    )24(

    x/L0 u - kNm kNm kNm kNm kNm m m m

    )(xII

    (13) (19)

    (18) (19) (21) (23) (25) Lx

    0 - 0 0 0 0 0 0

    0-1 5421.314 2710.657 1 10.659 10842.628 5421.314 2710.657 1.7574E-05 0.0012 0.0011

    1-2 7649.570 9246.099 2 4.390 4456.512 13070.883 11956.755 0.00008 0.0023 0.0023

    2-3 231.718 13186.742 3 2.586 -3993.075 13302.602 25143.498 0.00016 0.0035 0.0033

    3-4 -2467.195 12069.004 4 1.803 -941.315 10835.406 37212.502 0.00024 0.0047 0.0044

    4-5 4101.862 12886.337 5 1.400 9145.039 14937.268 50098.839 0.00032 0.0058 0.0055

    5-6 13960.324 21917.430 6 1.176 18775.609 28897.592 72016.268 0.00047 0.0070 0.0065

    6-7 22567.449 40181.316 7 1.055 26359.289 51465.040 112197.584 0.00073 0.0082 0.0074

    7-8 29289.129 66109.605 8 1.004 32218.970 80754.170 178307.189 0.00116 0.0093 0.0082

    8-9 35056.992 98282.666 9 1.004 37895.015 115811.162 276589.855 0.00179 0.0105 0.0087

    9-10 39897.838 135760.081 10 1.004 41900.661 155709.000 412349.936 0.00267 0.0117 0.0090

    10-11 42400.988 176909.494 11 1.000 42901.314 198109.988 589259.430 0.00382 0.0128 0.0090

    11-12 42075.198 219147.587 12 1.000 41249.081 240185.185 808407.016 0.00524 0.0140 0.0088

    12-13 39238.064 259804.217 13 1.011 37227.047 279423.249 1068211.234 0.00693 0.0152 0.0082

    13-14 34492.911 296669.705 14 1.059 31758.774 313916.160 1364880.938 0.00885 0.0163 0.0075

    14-15 28473.361 328152.841 15 1.175 25187.948 342389.521 1693033.779 0.01098 0.0175 0.0065

    15-16 21999.350 353389.197 16 1.441 18810.752 364388.872 2046422.976 0.01327 0.0187 0.0054

    16-17 16198.309 372488.026 17 2.108 13585.866 380587.181 2418911.002 0.01568 0.0198 0.0042

    17-18 11169.677 386172.019 18 4.072 8753.487 391756.858 2805083.022 0.01819 0.0210 0.0028

    18-19 7033.714 395273.715 19 14.482 5313.941 398790.571 3200356.736 0.02075 0.0222 0.0014

    19-20 2656.970 400119.057 20 - 0 401447.542 3600475.793 0.02334 0.0233 0.0000

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    1:

    W021W MffM = 1.0f1 = - 1.1f2 = - (sagging)

    0.70.6770.6771.9

    0.7CC1.9f

    B

    B2 +

    =+= - (hogging)

    0.7)(CBLCC0.1M B2PP21W0 +=

    :m 30090L:(3.4.5.4) T4.5.1C1 = 8.234

    10011530010.75

    100L30010.75C

    1.51.5PP

    1 =

    =

    = 1C2 = - ( ) [kN] 305893.790.7)(0.67720.411518.2340.1M 2W0 =+=

    sagging - 9-336483.16305893.79(-1.1)1.0MW == hogging - 290599.101 305893.790.951.0MW ==

    2C :

    - 0 L - 1.0 L0.4 L0.65 - 0 L - ( WM ):

    1 .5.2.1(3.4.5.4)

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    ( sM ) .2 3:

    6B

    21L1min 100.7)(CBLCkfZ

    += 1.0f1 =

    1.0kL = 8.234C1 =

    3 = 2 -6 6 3minZ =1 1 8.234 115 20.4 (0.677+0.7) 10 = 3.0589 m 3.0589 10 cm - : = > 6 3 6 3BZ 5.9901 10 cm 3.0589 10 cm - : = > 6 3 6 3DZ 3.925 10 cm 3.0589 10 cm

    !!! , 4: ) W

    3DDS M 10ZFM =

    ) W3

    BBS M 10ZFM = 1FD = 0.77FB = 2

    L mmN175

    1175

    k175

    :5.5)5.6.1(3.4. === 3S M =1 175 3.925 10 - 290599.101= 396275.899 kNm

    3S M = 0.77 175 5.9901 10 - 290599.101= 516566.874 kNm !!! 5: ( )

    5

    L

    W021Smin 10k

    MffML3I

    += ( ) 2 2 + = -5min

    3 115 396275.899 1 0.934 290599.101I 10 = 5358.655 cm x m

    1 175

    2 2nI = 279797.1 cm m minn II >

    !!!

    2 .5.3.1(3.4.5.4) 3 .5.4.1(3.4.5.5) 4 .5.5.1(3.4.5.5) 5 .5.8.1(3.4.5.6)

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    6:

    W021W QKKQ = 1 L 0 0

    L0.3)(0.2 0.7810.7CC1.589

    B

    B =+

    -0.92

    L0.6)(0.4 0.7 -0.7 L0.85)(0.7 1.0 -0.849

    0.7CC1.727-

    B

    B =+

    L 0 0

    1K2 = - [kN] 7862.4870.7)(0.67720.41158.2340.30.7)(CBLC0.3Q B1W0 =+=+=

    7:

    W1S QQ = 2

    L mmN110

    1110

    k110 ===

    Z

    11

    A100tI=1

    1I - .

    1t -

    ZA - n-n 1I = 237922.704

    1t = 2 13 = 26 ZA =15594.642

    1 = 237922.704 26 = 3.9667100 15594.642

    S Q =110 3.9667 - 6140.602 = -5704.265 = 5704.265 kN a !!!

    6 .6.3.1(3.4.6.7) 7 .6.5.1(3.4.6.7)

  • (1)a (2)a (3)a (4)a (5)=(3)x(4) (6)=(4)x(5)

    [mm] ai [cm] zi [m] ai * zi [cmm] ai * zi [cmm] 1 725x16 116.0 0 0 0 2 7538x14 1055.3 0 0 0 3 3140x14 439.6 0.9 395.640 356.076 4 1300x7 91.0 0.65 59.150 38.448 5 1300x10 130.0 0.65 84.500 54.925 6 10xHP220x10 290.0 0.165 47.850 7.895 7 10000x11 1100.0 1.3 1430.000 1859.000 8 11xHP200x11 281.6 1.15 323.840 372.416 9 2100x13 273.0 3.05 832.650 2539.583

    10 2100x13 273.0 5.15 1405.950 7240.643 11 2100x13 273.0 7.25 1979.250 14349.563 12 2100x13 273.0 9.35 2552.550 23866.343 13 1400x14 196.0 11.1 2175.600 24149.160 14 6200x9 558.0 9.1 5077.800 46207.980 15 2x850x15 255.0 8.675 2212.125 19190.184 16 2x270x20 108.0 8.25 891.000 7350.750 17 6200x11 682.0 11.8 8047.600 94961.680 18 6xHP140x7 58.8 11.715 688.842 8069.784 19 2x500x18 180.0 11.55 2079.000 24012.450 20 2x220x20 88.0 11.3 994.400 11236.720

    6721.32 31277.747 285863.598 A B C

    I5R = 280624.42 [cm2m2]

  • 3 (1)a (2)a (3)a (4)a (5)=(3)x(4) (6)=(4)x(5)

    [mm] ai [cm] zi [m] ai * zi [cmm] ai * zi [cmm] 1 725x16 116.0 0 0 0 2 3780x14 529.2 0 0 0 3 5307x14 743.0 0.9 668.682 601.814 4 1300x7 91.0 0.65 59.150 38.448 5 1300x10 130.0 0.65 84.500 54.925 6 7xHP220x10 203.0 0.165 33.495 5.527 7 8190x11 900.9 1.3 1171.170 1522.521 8 8xHP200x11 204.8 1.15 235.520 270.848 9 2100x13 273.0 3.05 832.650 2539.583

    10 2100x13 273.0 5.15 1405.950 7240.643 11 2100x13 273.0 7.25 1979.250 14349.563 12 2100x13 273.0 9.35 2552.550 23866.343 13 1400x14 196.0 11.1 2175.600 24149.160 14 6200x9 558.0 9.1 5077.800 46207.980 15 2x850x15 255.0 8.675 2212.125 19190.184 16 2x270x20 108.0 8.25 891.000 7350.750 17 6200x11 682.0 11.8 8047.600 94961.680 18 6xHP140x7 58.8 11.715 688.842 8069.784 19 2x500x18 180.0 11.55 2079.000 24012.450 20 2x220x20 88.0 11.3 994.400 11236.720

    6135.68 31189.284 285668.920 A B C

    I3R = 254251.08[cm2m2]

  • 8

    (1)a (2)a (3)a (4)a (5)=(3)x(4) (6)=(4)x(5)

    [mm] ai [cm] zi [m] ai * zi [cmm] ai * zi [cmm] 1 725x16 116.0 0 0 0 2 1100x14 154.0 0 0 0 3 5400x14 756.0 0.9 680.400 612.360 4 1300x7 91.0 0.65 59.150 38.448 5 1300x10 130.0 0.65 84.500 54.925 6 5xHP220x10 145.0 0.165 23.925 3.948 7 6000x11 660.0 1.3 858.000 1115.400 8 5xHP200x11 128.0 1.15 147.200 169.280 9 2100x13 273.0 3.05 832.650 2539.583

    10 2100x13 273.0 5.15 1405.950 7240.643 11 2100x13 273.0 7.25 1979.250 14349.563 12 2100x13 273.0 9.35 2552.550 23866.343 13 1400x14 196.0 11.1 2175.600 24149.160 14 4430x9 398.7 9.1 3628.170 33016.347 15 2x850x15 255.0 8.675 2212.125 19190.184 16 2x270x20 108.0 8.25 891.000 7350.750 17 5040x11 554.4 11.8 6541.920 77194.656 18 5xHP140x7 49.0 11.715 574.035 6724.820 19 2x500x18 180.0 11.55 2079.000 24012.450 20 2x220x20 88.0 11.3 994.400 11236.720

    5101.1 27719.825 252865.578 A B C

    I8R = 204467.23 [cm2m2]