An Assessment of Stability and Strength of a Container Ship for Safety Compliance in Cargo Loading Plans
Abstract
:1. Introduction
- ⚜
- The criterion for areas under the righting arm curve. The area found under the righting arm curve shall not be less than 0.055 m⋅rad, calculated from 0° to 30° of the heel, not less than 0.090 m⋅rad, calculated from 0° to 40° of the heel or up to the angle of flooding (the angle of flooding, in this case, being the angle of heel at which the inner spaces of the ship are flooded with seawater through openings) if the angle of flooding is less than 40°, and not less than 0.030 m⋅rad, calculated for 30° to 40° of the heel, or from 30° to the angle of flooding if the angle of flooding is less than 40° [17].
- ⚜
- Righting arm curve, where the righting arm is at least 0.2 m at an angle of heel equal to or greater than 30°. The maximum righting arm must occur at an angle of the heel of not less than 25°. The righting arm of the vessel in the upright position must increase sufficiently rapidly (the vessel must be sufficiently ‘tough’—it must ‘hold’ sufficiently firmly its equilibrium position). The greatest value of the righting arm (the greatest ability of the ship to return to the equilibrium position) will not occur if the heel angle is too small [17,20].
- ⚜
- The criterion of initial metacentric height—metacentric height is a measure of the ship’s initial stability at small angles of the heel. When its value is high, the ship is considered stiff and will come rapidly to the equilibrium. If the value is low, the rolling will be gentler, but in the event of failure, the ship may lose stability and capsize [21].
- ⚜
- The weather criterion, taking into account the effect of wind and ship motions. According to the weather criterion, the ship’s stability is considered to be sufficient when the conventional wind, under conventional conditions, including wave rolling, does not cause exceeding of the heeling angle of 50° immersion of openings considered to be open, and ship capsizing. These requirements are deemed to be met when the ship’s heeling angle does not exceed 50°, the angle of flooding, or the angle of capsizing. Detailed requirements for this criterion are contained in the Rules for the Classification and Construction of Sea-going Ships, Part IV, Chapter 2 “Stability—Basic Requirements and Criteria” (point 2.1.2) [17,20].
2. Literature Review
3. Research Material and Methodology
4. Analysis of the Loading Status of an Example Container Ship (Results and Discussion)
5. Conclusions
- -
- In the case under consideration, the weight of 4% of the loaded containers was changed by 0.5 t, which was sufficient for one of the most important parameters, the metacentric height, not to meet the requirement. For this reason, it would be advisable to improve and standardize the process of weighing containers before loading. It is also evident that an attempt should be made to minimize the measurement error since even a slight change in the weight of a container can affect stability.
- -
- The container weight verification process should be independent of third parties. In addition, to avoid inaccuracies, it should take place just before the container is loaded onto the ship. One way of doing this would be to use a flat scale that first weighs the container with the truck carrying it and then, after the container has been lifted by crane, the truck itself. The resulting container weight seems to be the most reliable, and weighing alone would not affect the loading rate.
- -
- An update to the loading plan after routine container weighing—the terminals start to weigh containers again on their own, but these data are not always compared to the ones declared. Although the IMO, MCA, and WCS guidance are clear about it, the importance of this practice must be highlighted.
- -
- No information is available about the distribution of cargo in the container space, which necessitates the estimated center of gravity to be assumed through mathematical calculations.
- -
- Containers loaded onto a ship are not always placed in the positions specified in the loading plan, and plans are often updated after the ship’s departure.
- -
- Cargo Securing Manuals are in many cases impractical, as the capacity, number of rows, bays, possible stowing configuration, and loading conditions cannot be inserted in a single paper document. The lashing calculations are now often done using a computer. However, there are no general mandatory requirements or performance criteria.
- -
- Decision support tools in bad weather conditions should be spread onboard ships, making the crew more aware of parametric rolling and whipping effects.
- -
- Bureau International des Containers, appointed by the IMO, formed two databases, containing technical details for individual containers. Both databases are incomplete, hence, it is not possible to assess all the containers before loading. Such databases should be developed as stack collapses are also connected with structural failures of containers.
- -
- Ishikawa’s analysis can easily contribute to estimating the effect of individual causes, as well as the elements contributing to these causes, and can rank the importance of their effect on the damage to the ship (in the case in question, human error in loading containers on the MSC Napoli).
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Criterion | Requirement |
---|---|
Area (A) under the righting arm curve | A0–30° ≥ 0.055 m⋅rad A0–40° ≥ 0.090 m⋅rad A30–40° ≥ 0.030 m⋅rad |
Righting arm (GZ) | GZφ ≥ 30° ≥ 0.20 m |
Angle corresponding to the maximum of the righting arms | φGZmax ≥ 25° |
Initial metacentric height (GM) | GM ≥ 0.15 m |
The weather criterion, where a and b are surface areas in the figure below, is based on: [17] | b ≥ a |
List of the ship under static wind pressure perpendicular to the plane of symmetry | φ0 ≤ 16° or φ0 ≤ 0.8° φdeck edge entering the water |
Name of the Tank | Weight [t] | Volume [m3] | Filling [%] | Free Surface [mt] |
---|---|---|---|---|
Fore peak TK | 0.0 | 0.0 | 0.0 | 0.0 |
BW TK 4.01 | 0.0 | 0.0 | 0.0 | 0.0 |
BW TK 4.03 | 677.4 | 660.9 | 100.0 | 0.0 |
BW TK 4.04 | 614.0 | 599.0 | 100.0 | 0.0 |
BW TK 4.05 | 467.0 | 455.6 | 100.0 | 0.0 |
BW TK 4.06 | 435.6 | 425.0 | 100.0 | 0.0 |
BW TK 4.07 | 707.4 | 690.1 | 100.0 | 0.0 |
BW TK 4.08 | 629.9 | 614.5 | 100.0 | 0.0 |
BW TK 4.09 | 574.2 | 560.2 | 100.0 | 0.0 |
BW TK 4.10 | 549.8 | 536.4 | 100.0 | 0.0 |
BW TK 4.15 | 876.5 | 855.1 | 100.0 | 0.0 |
BW TK 4.16 | 817.4 | 797.5 | 100.0 | 0.0 |
BW TK 4.17 | 514.5 | 502.0 | 100.0 | 0.0 |
BW TK 4.18 | 513.7 | 501.2 | 100.0 | 0.0 |
Heeling TK 4.19 | 327.3 | 319.3 | 70.0 | 0.0 |
Heeling TK 4.20 | 139.9 | 136.5 | 30.0 | 0.0 |
BW TK 4.21 | 569.6 | 555.7 | 100.0 | 0.0 |
BW TK 4.22 | 567.7 | 553.9 | 100.0 | 0.0 |
REEFER TK 4.24 | 56.7 | 55.3 | 100.0 | 0.0 |
Aft peak TK | 0.0 | 0.0 | 0.0 | 0.0 |
Stability Results/without d. Cont.—SeeBG | |||
---|---|---|---|
Lever Balance—OK! | Actual | Limit | |
GM’ (corrected) | 0.421 | 0.421 | m |
Angle due to transverse Moment | 0.016 | 3.000 | degr. |
Angle due to Wind + transverse Moment | 0.016 | 18.000 | degr. |
GZ Lever at 30 Degrees | 0.463 | 0.455 | m |
Statical Stability Range | 53.962 | 50.000 | degr. |
Area up to 30 Degrees | 0.100 | 0.055 | mrad |
Area up to 40 Degrees | 0.191 | 0.090 | mrad |
Area between 30 and 40 Degrees | 0.091 | 0.030 | mrad |
Frame No. | Shear Forces | Bending Moments | Torsion | ||||||
---|---|---|---|---|---|---|---|---|---|
Sea | |||||||||
Existing [kN] | Limits [kN] | rel. [%] | Existing [kN] | Limits [kN] | rel. [%] | rel. [%] | |||
35 | 25,600 | 29,850 | 86 | 345,456 | 454,300 | 76 | max. Mom. | Limit | |
52 | 30,532 | 35,000 | * 87 | 722,320 | 1,021,200 | 71 | (kNm) | (kNm) | |
77 | 8763 | 27,850 | 31 | 1,111,023 | 1,313,300 | 85 | 41,690 | 79,900 | 52 |
94 | 8468 | 50,900 | 17 | 1,213,676 | 1,882,500 | 64 | Area of T. | Limit | |
110 | 5746 | 50,900 | 11 | 1,261,864 | 1,891,500 | 67 | (kNm2) | (kNm2) | |
131 | −2449 | −50,900 | 5 | 1,226,878 | 1,891,500 | 65 | 2,449,933 | 7,801,000 | 31 |
148 | −8431 | −50,850 | 17 | 1,098,927 | 1,809,600 | 61 | |||
168 | −17,293 | −50,200 | 34 | 825,294 | 1,271,900 | 65 | |||
185 | −17,072 | −47,650 | 36 | 524,022 | 805,400 | 65 | |||
204 | −7947 | −23,300 | 34 | 241,115 | 420,200 | 57 | |||
222 | 7541 | 18,900 | 40 | 144,461 | 148,000 | * 98 |
Stability Results/Without d. Cont.—SeeBG | ||||
---|---|---|---|---|
Lever Balance—OK! | GM not OK! | Actual | Limit | |
GM’ (corrected) | 0.416 | 0.425 | m | |
Angle due to transverse Moment | 0.016 | 3.000 | degr. | |
Angle due to Wind + transverse Moment | 0.016 | 18.000 | degr. | |
GZ Lever at 30 Degrees | 0.459 | 0.456 | m | |
Statical Stability Range | 53,859 | 50,000 | degr. | |
Area up to 30 Degrees | 0.099 | 0.055 | mrad | |
Area up to 40 Degrees | 0.190 | 0.090 | mrad | |
Area between 30 and 40 Degrees | 0.091 | 0.030 | mrad |
Frame No. | Shear Forces | Bending Moments | Torsion | ||||||
---|---|---|---|---|---|---|---|---|---|
Sea | |||||||||
Existing [kN] | Limits [kN] | rel. [%] | Existing [kN] | Limits [kN] | rel. [%] | rel. [%] | |||
35 | 25,627 | 29,850 | 86 | 345,864 | 454,300 | 76 | max. Mom. | Limit | |
52 | 30,560 | 35,000 | * 87 | 723,082 | 1,021,200 | 71 | (kNm) | (kNm) | |
77 | 8741 | 27,850 | 31 | 1,111,843 | 1,313,300 | 85 | 41,852 | 79,900 | 52 |
94 | 8460 | 50,900 | 17 | 1,214,300 | 1,882,500 | 65 | Area of T. | Limit | |
110 | 5749 | 50,900 | 11 | 1,262,429 | 1,891,500 | 67 | (kNm2) | (kNm2) | |
131 | −2466 | −50,900 | 5 | 1,227,304 | 1,891,500 | 65 | 2,466,056 | 7,801,000 | 32 |
148 | −8441 | −50,850 | 17 | 1,099,119 | 1,809,600 | 61 | |||
168 | −17,299 | −50,200 | 34 | 825,336 | 1,271,900 | 65 | |||
185 | −17,065 | −47,650 | 36 | 524,069 | 805,400 | 65 | |||
204 | −7958 | −23,300 | 34 | 241,033 | 420,200 | 57 | |||
222 | 7552 | 18,900 | 40 | 144,324 | 148,000 | * 98 |
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Kaup, M.; Łozowicka, D.; Baszak, K.; Ślączka, W. An Assessment of Stability and Strength of a Container Ship for Safety Compliance in Cargo Loading Plans. Appl. Sci. 2024, 14, 345. https://doi.org/10.3390/app14010345
Kaup M, Łozowicka D, Baszak K, Ślączka W. An Assessment of Stability and Strength of a Container Ship for Safety Compliance in Cargo Loading Plans. Applied Sciences. 2024; 14(1):345. https://doi.org/10.3390/app14010345
Chicago/Turabian StyleKaup, Magdalena, Dorota Łozowicka, Karolina Baszak, and Wojciech Ślączka. 2024. "An Assessment of Stability and Strength of a Container Ship for Safety Compliance in Cargo Loading Plans" Applied Sciences 14, no. 1: 345. https://doi.org/10.3390/app14010345
APA StyleKaup, M., Łozowicka, D., Baszak, K., & Ślączka, W. (2024). An Assessment of Stability and Strength of a Container Ship for Safety Compliance in Cargo Loading Plans. Applied Sciences, 14(1), 345. https://doi.org/10.3390/app14010345