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Tool for Predicting the Ultimate Bending Moment of Ship and Ship-Shaped Hull Girders

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Abstract

The present paper presents a historical review associated with the research works on hull girder strength of ship and ship-shaped structures. Then, a new program is developed to determine the ultimate vertical bending moment of hull girder by applying direct method, stress distribution method, and progressive collapse analysis method. Six ships and ship-shaped structures used in the benchmark study of International Ship and Offshore Structures Congress (ISSC) in 2012 are adopted as examples. The calculation results by applying the developed program are analyzed and compared with the existing results. Finally, the roles of the developed program and its further development are discussed.

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Abbreviations

A D, A B, A′B :

Total sectional areas of deck, outer bottom, and inner bottom, respectively, m2

A i :

Total cross-sectional area of the ith element, m2

A S :

Half-sectional area of all sides (including longitudinal bulkheads and inner sides), m2

D :

Hull depth, m

D B :

Height of double bottom, m

g :

Neutral axis position from the base line in the sagging condition or from the deck in the hogging condition, m

H :

Depth of hull section in linear elastic state, m

M p :

Fully plastic bending moment of hull section, MN·m

M u :

Ultimate bending moment (UBM) of hull section, MN·m

M uh,M us :

UBMs in hogging and sagging conditions, respectively, MN·m

z i :

Vertical distance from base line to horizontal neutral axis of the ith element

z NA_cur :

Vertical distance from base line to horizontal neutral axis of cross-section

Z :

Elastic section modulus at the compression flange, m3

Z D, Z B :

Elastic section moduli at deck and bottom, respectively, m3

σ u :

Ultimate buckling strength of the compression flange, MPa

σ uD, σ uS, σ uB, σ′uB :

Ultimate buckling strength of deck, side, outer bottom, and inner bottom, respectively, MPa

σ u,i :

Ultimate stress of the ith element

σ y :

Yield strength of the material, MPa

σ yD, σ yS, σ yB, σ′yB :

Yield strength of deck, side, outer bottom, and inner bottom, respectively, MPa

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Authors and Affiliations

  1. School of Transportation, Wuhan University of Technology, Wuhan, 430063, China

    Van Tuyen Vu & Ping Yang  (杨平)

  2. Key Laboratory of High Performance Ship Technology, Ministry of Education, Wuhan University of Technology, Wuhan, 430063, China

    Ping Yang  (杨平)

  3. Faculty of Shipbuilding, Vietnam Maritime University, Hai Phong, 180000, Vietnam

    Van Tuyen Vu

Authors
  1. Van Tuyen Vu
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  2. Ping Yang  (杨平)
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Correspondence to Ping Yang  (杨平).

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Vu, V.T., Yang, P. Tool for Predicting the Ultimate Bending Moment of Ship and Ship-Shaped Hull Girders. J. Shanghai Jiaotong Univ. (Sci.) 23, 515–526 (2018). https://doi.org/10.1007/s12204-018-1973-2

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