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Determination of plastic collapse loads of rectangular tubes

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Summary

A simplified theory of yield hinge surfaces usually applied in plastic collapse analysis of thin plates in transverse loading is modified and used to simulate modes of plastic collapse of rectangular tubes in opposed transverse loading. The experimental results of maximum load observed in several cases are compared with the theoretical estimates based on rigid-perfectly plastic material model. The agreement between the theoretical and experimental results was found to be generally satisfactory.

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Abbreviations

H :

length of the wider face of rectangular tube

h :

length of the narrower face of the rectangular tube (h=H/2)

M p :

plastic moment per unit length

P,P 1,P 2 :

plastic collapse loads

t :

thickness of the tube walls

u :

velocity of movement

σ y :

uni-axial tensile yield stress of the material

ω:

angular velocity

\(\overline {oI} ,\overline {oII}\) :

vector of angular velocity in the directiono toI, etc.

References

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  8. Johnson, W.: Upper bounds to the load for the transverse bending of flat rigid-perfectly plastic plates. Int. J. Mech. Sci.11, 913–983 (1969).

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada

    D. K. Sinha

  2. Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, M60 1QD, Manchester, UK

    N. R. Chitkara

Authors
  1. D. K. Sinha
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  2. N. R. Chitkara
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Sinha, D.K., Chitkara, N.R. Determination of plastic collapse loads of rectangular tubes. Acta Mechanica 51, 199–215 (1984). https://doi.org/10.1007/BF01177072

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  • DOI: https://doi.org/10.1007/BF01177072

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