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Research Papers: Structures and Safety Reliability

Experimental Evaluation of the Ultimate Bending Moment of a Slender Thin-Walled Box Girder

[+] Author and Article Information
José Manuel Gordo

Centre for Marine Technology
and Engineering (CENTEC),
Instituto Superior Técnico,
Universidade de Lisboa,
Lisboa 1049-001, Portugal

C. Guedes Soares

Centre for Marine Technology
and Engineering (CENTEC),
Instituto Superior Técnico,
Universidade de Lisboa,
Lisboa 1049-001, Portugal
e-mail: c.guedes.soares@centec.tecnico.ulisboa.pt

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received September 13, 2014; final manuscript received January 4, 2015; published online February 6, 2015. Assoc. Editor: Myung Hyun Kim.

J. Offshore Mech. Arct. Eng 137(2), 021604 (Apr 01, 2015) (7 pages) Paper No: OMAE-14-1129; doi: 10.1115/1.4029536 History: Received September 13, 2014; Revised January 04, 2015; Online February 06, 2015

The results of a four points bending test on a box girder are presented. The experiment is part of series of tests with similar configuration but with different thickness and span between frames. The present work refers to the slenderest plate box girder with a plate's thickness of 2 mm but with a short span between frames. The experiment includes initial loading cycles allowing for partial relief of residual stresses. The moment curvature relationship is established for a large range of curvature. The ultimate bending moment (UM) of the box is evaluated and compared with the first yield moment and the plastic moment allowing the evaluation of the efficiency of the structure. The postbuckling behavior and collapse mode are characterized. Comparison of the experiment with a progressive collapse analysis method is made taking into consideration the effect of residual stresses on envelop of the moment curvature curve of the structure.

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References

Caldwell, J. B., 1965, “Ultimate Longitudinal Strength,” Trans. RINA, 107, pp. 411–430.
Faulkner, D., 1965, “Contribution to the Discussion of “Ultimate Longitudinal Strength” by J. Caldwell,” Trans. RINA, 107.
Smith, C. S., 1977, “Influence of Local Compressive Failure on Ultimate Longitudinal Strength of a Ship's Hull,” 3rd International Symposium on Practical Design in Shipbuilding, Tokyo, Japan, pp. 73–79.
Billingsley, D. W., 1980, “Hull Girder Response to Extreme Bending Moments,” 5th STAR Symposium, SNAME, pp. 51–63.
Adamchak, J. C., 1984, “An Approximate Method for Estimating the Collapse of a Ship's Hull in Preliminary Design,” Ship Structures Symposium, pp. 37–61.
Gordo, J. M., Guedes Soares, C., and Faulkner, D., 1996, “Approximate Assessment of the Ultimate Longitudinal Strength of the Hull Girder,” J. Ship Res., 40(1), pp. 60–69.
Dowling, P. J., Chatterjee, S., Frieze, P. A., and Moolani, F. M., 1973, “Experimental and Predicted Collapse Behaviour of Rectangular Steel Box Girders,” International Conference on Steel Box Girder Bridges, London, UK, pp. 77–94.
Nishihara, S., 1984, “Ultimate Longitudinal Strength of Mid-Ship Cross Section,” Naval Arch. Ocean Eng., 22, pp. 200–214.
Dow, R., 1991, “Testing and Analysis of a 1/3-Scale Welded Steel Frigate Model,” Advances in Marine Structures, Vol. 2, Elsevier Applied Science, London, UK, pp. 749–773.
Gordo, J. M., and Guedes Soares, C., 1996, “Approximate Method to Evaluate the Hull Girder Collapse Strength,” Mar. Struct., 9(1), pp. 449–470. [CrossRef]
Gordo, J. M., 2002, “Ultimate Strength of Ship's Structures Under Bending Moment (Resistência Última de Estruturas de Navios sob Flexão),” Instituto Superior Técnico, Technical University of Lisbon, Lisbon, Portugal, p. 450.
Gordo, J. M., and Guedes Soares, C., 2009, “Tests on Ultimate Strength of Hull Box Girders Made of High Tensile Steel,” Mar. Struct., 22(4), pp. 770–790. [CrossRef]
Gordo, J. M., and Guedes Soares, C., 2014, “Experimental Analysis of the Effect of Frame Spacing Variation on the Ultimate Bending Moment of Box Girders,” Mar. Struct., 37, pp. 111–134. [CrossRef]
Gordo, J. M., 2013, “Residual Stresses Relaxation of Welded Structures Under Alternate Loading,” Developments in Maritime Transportation and Exploitation of Sea Resources, Taylor & Francis, London, UK, pp. 321–328. [CrossRef]
Gordo, J. M., and Guedes Soares, C., 2004, “Experimental Evaluation of the Ultimate Bending Moment of a Box Girder,” Mar. Syst. Offshore Tecnol., 1(1), pp. 33–46.
Gordo, J. M., 2011, “Effect of Initial Imperfections on the Strength of Restrained Plates,” ASME Paper No. OMAE2011-49161. [CrossRef]
Guedes Soares, C., and Gordo, J. M., 1997, “Design Methods for Stiffened Plates Under Predominantly Uniaxial Compression,” Mar. Struct., 10(6), pp. 465–497. [CrossRef]
Gordo, J. M., and Guedes Soares, C., 1993, “Approximate Load Shortening Curves for Stiffened Plates Under Uniaxial Compression,” Integrity of Offshore Structures, Vol. 5, D.Faulkner, M. J.Cowling, A.Incecik, and P. K.Das, eds., EMAS, Warley, UK/Glasgow, UK, pp. 189–211.

Figures

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Fig. 1

Layout of the experiment and real structure

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Fig. 2

Cross section (top) and stiffeners arrangement (bottom)

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Fig. 3

Tensile tests of 2 mm thick plate specimens

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Fig. 4

Typical tensile test of 3 mm thick plate specimen

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Fig. 5

Load–vertical displacement curves for four cycles of loading

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Fig. 6

Load–displacement relationship for initial cycles

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Fig. 7

Moment–curvature relationship for complete test

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Fig. 8

M–C curves for first two cycles of loading

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Fig. 9

M–C curves for collapse and damaged cycles of loading

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Fig. 10

Deformed shape of the box at collapse load viewed from opposite sides

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Fig. 11

Permanent deformations in the final of the test

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Fig. 12

Tangent bending stiffness on collapse cycle as function of curvature

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Fig. 13

Tangent bending stiffness on collapse cycle as function of bending moment

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Fig. 14

Comparison between experiment and predictions from progressive collapse methods

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Fig. 15

Ultimate moment and curvature versus residual stress normalized by yield stress

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