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. Lifting Lug Calculation according

DIN 28085, DIN 28086, DIN 18800 Part 4

g 9.81 m s 2^/ * :

y

Weight [kg]:

Lifting lug F1:

x.1 15344 mm * :

y.1 0 mm * :

G 3000 kg * :

Tailing lug F2:

x.2 1489 mm * :

y.2 300 mm * :

G G g * : N 29430

Center of gravity COG:

x.G 8694 mm * :

y.G 0 mm * :

Total vessel length:

l.total 16023 mm * :

n.Lifting 2 :

n.Tailing 1 :

F.1

F.2

ΣF

F.1x

F.1y

F.2x

F.2y

ΣF

[rad]

[kN]

α 0 ° * 5 ° * 10 ° * 15 ° * 20 ° * 25 ° * 30 ° * 35 ° * 40 ° * 45 ° * 50 ° * 55 ° * 60 ° * 65 ° * 70 ° * 75 ° * 80 ° * 85 ° * 90 ° * 191 mat :

F.2 G α cos x.G x.1 - (* α sin y.G y.1 - (* - (* α cos x.2 x.1 - (* α sin y.2 y.1 - (* - (/ vectorize : kN 14.1256 14.0988 14.0718 14.0441 14.0151 13.9844 13.9511 13.9146 13.8735 13.8262 13.7702 13.7018 13.6149 13.4987 13.3324 13.0694 12.5807 11.3231 0191 mat

F.1 G F.2 - vectorize : kN 15.3044 15.3312 15.3582 15.3859 15.4149 15.4456 15.4789 15.5154 15.5565 15.6038 15.6598 15.7282 15.8151 15.9313 16.0976 16.3606 16.8493 18.1069 29.43 191 mat

F.1x F.1 α sin * n.Lifting / vectorize : kN 0 0.6681 1.3335 1.9911 2.6361 3.2638 3.8697 4.4496 4.9998 5.5168 5.998 6.4419 6.8481 7.2193 7.5634 7.9016 8.2967 9.019 14.715 191 mat

F.1y F.1 α cos * n.Lifting / vectorize : kN 7.6522 7.6364 7.5624 7.4308 7.2426 6.9993 6.7025 6.3547 5.9585 5.5168 5.033 4.5107 3.9538 3.3664 2.7529 2.1172 1.4629 0.7891 0191 mat

F.1ges F.1x 2^F.1y 2^+ sqrt vectorize : kN 7.6522 7.6656 7.6791 7.693 7.7075 7.7228 7.7394 7.7577 7.7783 7.8019 7.8299 7.8641 7.9075 7.9656 8.0488 8.1803 8.4247 9.0534 14.715 191 mat

F.2x F.2 α sin * n.Tailing / vectorize : kN 0 1.2288 2.4435 3.6349 4.7934 5.91 6.9756 7.9811 8.9177 9.7766 10.5486 11.2239 11.7909 12.234 12.5284 12.6241 12.3895 11.2801 0191 mat

F.2y F.2 α cos * n.Tailing / vectorize : kN 14.1256 14.0452 13.858 13.5655 13.1699 12.6741 12.082 11.3982 10.6277 9.7766 8.8513 7.8591 6.8075 5.7048 4.5599 3.3826 2.1846 0.9869 0191 mat

F.2ges F.2x 2^F.2y 2^+ sqrt vectorize : kN 14.1256 14.0988 14.0718 14.0441 14.0151 13.9844 13.9511 13.9146 13.8735 13.8262 13.7702 13.7018 13.6149 13.4987 13.3324 13.0694 12.5807 11.3231 0191 mat

Bending Stress in Vessel

S.Sicherheit 1.05 :

q G l.total / : kN m / 1.8367

e l.total 2 / x.G - : mm 682.5 -

x.22 x.1 :

dA 400 mm * :

F e G * 23 / l.total * / : kN 1.8804 -

x.11 x.2 :

q.1 q F l.total 4 / / + : kN m / 1.3673

t' 10 mm * :

x.2 x.22 :

L.Buckling 10900 mm * :

q.2 q F l.total 4 / / - : kN m / 2.3061

gradient q.1 q.2 - l.total / : kN m / m / 0.0586 -

x.1 x.11 :

Beulwiderstand according DIN 18800 Part 4 equations 8a-8d & 13a-13c

E 190000 N mm 2^/ * :

S.y 185 N mm 2^/ * :

σ.xSi 0.605 E * t' dA 2 / / * : MPa 5747.5

according DIN 18800 Part 4 equation (26)

λ.Q S.y σ.xSi / sqrt : 0.1794

according DIN 18800 Part 4 equation (26)

according DIN 18800 Part 4 equation (12)

κ.2 λ.Q 0.25 ≤ κ.2 1 : λ.Q 0.2 > (λ.Q 1 ≤ (& κ.2 1.233 0.933 γ.Q * - : λ.Q 1 > (λ.Q 1.5 ≤ (& κ.2 0.3 λ.Q 3^/ : κ.2 0.2 λ.Q 3^/ : if if if : 1

according DIN 18800 Part 4 equation (8a-8d)

entgegen excel Datei: \[REGION[1efbd498497347e6a5d009a13bf86034]]\ 0,2 in excel

λ.Q 0.25 ≤

γ.M2 λ.Q 0.25 ≤ γ.M2 1.1 : λ.Q 0.25 > (λ.Q 2 ≤ (& γ.M2 1 0.318 λ.Q 0.25 - 1.75 / * + : γ.M2 1.45 : if if : 1.1

according DIN 18800 Part 4 equation (8a-8d)

entgegen excel Datei: \[REGION[a5fb9bed391e4bc8a5500660095c6983]]\ 1 in excel

γ.M2 1.1 :

σ.x.rd κ.2 γ.M2 / S.y S.Sicherheit / * : MPa 160.1732

according DIN 18800 Part 4 equation (4,9)

Verhältnis 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.0 211 mat :

β Verhältnis l.total * vectorize : mm 0 801.15 1602.3 2403.45 3204.6 4005.75 4806.9 5608.05 6409.2 7210.35 8011.5 8812.65 9613.8 10414.95 11216.1 12017.25 12818.4 13619.55 14420.7 15221.85 16023211 mat

t t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' t' 211 mat :

α 0 ° * :

M.1 q.1 q.1 gradient β * - (+ 2 / β * β β 3 / q.1 2 q.1 gradient β * - (* + q.1 q.1 gradient β * - (+ / (* - (* α cos * - vectorize : N m * 0 443.8228 - 1795.3772 - 4084.792 - 7342.1964 - 11597.7192 - 16881.4894 - 23223.6361 - 30654.288 - 39203.5742 - 48901.6238 - 59778.5655 - 71864.5284 - 85189.6415 - 99784.0336 - 1.1568 105^* - 1.329 105^* - 1.5148 105^* - 1.7146 105^* - 1.9285 105^* - 2.1569 105^* - 211 mat

M.2 F.2 1 el α cos * β x.1 - (* : kN m * 21.0329 - 9.7163 - 1.6004 12.9171 24.2338 35.5505 46.8672 58.1838 69.5005 80.8172 92.1339 103.4506 114.7673 126.084 137.4006 148.7173 160.034 171.3507 182.6674 193.9841 205.3007 211 mat

M.3 F.1 1 el α cos * β x.2 - (* : kN m * 234.8315 - 222.5703 - 210.3092 - 198.048 - 185.7868 - 173.5257 - 161.2645 - 149.0034 - 136.7422 - 124.481 - 112.2199 - 99.9587 - 87.6976 - 75.4364 - 63.1752 - 50.9141 - 38.6529 - 26.3918 - 14.1306 - 1.8694 - 10.3917 211 mat

M.ges M.1 M.2 + β x.1 > (β x.2 ≤ (& M.1 M.3 + β x.2 > (β l.total < (& 0 kN * m * β l.total ≡ M.1 cases vectorize :

x.1 mm 1489

somehow the calculation is not correct

x.2 mm 15344

Verhältnis 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.0 211 mat :

β mm 0 801.15 1602.3 2403.45 3204.6 4005.75 4806.9 5608.05 6409.2 7210.35 8011.5 8812.65 9613.8 10414.95 11216.1 12017.25 12818.4 13619.55 14420.7 15221.85 16023211 mat

M.ges kN m * 0 0.4438 - 0.195 - 8.8323 16.8916 23.9528 29.9857 34.9602 38.8462 41.6136 43.2323 43.672 42.9027 40.8943 37.6166 33.0395 27.1328 19.8665 11.2104 1.1344 0211 mat

M.1 kN m * 0 0.4438 - 1.7954 - 4.0848 - 7.3422 - 11.5977 - 16.8815 - 23.2236 - 30.6543 - 39.2036 - 48.9016 - 59.7786 - 71.8645 - 85.1896 - 99.784 - 115.6778 - 132.9012 - 151.4842 - 171.457 - 192.8497 - 215.6925 - 211 mat

M.2 kN m * 21.0329 - 9.7163 - 1.6004 12.9171 24.2338 35.5505 46.8672 58.1838 69.5005 80.8172 92.1339 103.4506 114.7673 126.084 137.4006 148.7173 160.034 171.3507 182.6674 193.9841 205.3007 211 mat

M.3 kN m * 234.8315 - 222.5703 - 210.3092 - 198.048 - 185.7868 - 173.5257 - 161.2645 - 149.0034 - 136.7422 - 124.481 - 112.2199 - 99.9587 - 87.6976 - 75.4364 - 63.1752 - 50.9141 - 38.6529 - 26.3918 - 14.1306 - 1.8694 - 10.3917 211 mat