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Technical Note 10

An Advanced SDOF Model for Steel Members Subject to Explosion Loading: Material Rate Sensitivity

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SUMMARY

This Technical Note describes an extension to a sophisticated SDOF model for steel members subject to explosion loading. The previous model accounted for:

  • Generalised support conditions for bending and axial actions; and
  • The catenary effect in axially-restrained members, under uniformly distributed (UDL), blast loading. However, that model did not incorporate material rate sensitivity, which has considerable influence on the blast response of steel members. The present work extends the previous model to deal with the strain-rate effect, and to provide more rational ductility measures than possible with rate-insensitive modelling.

The Technical Note proceeds by providing an overview of the problem characteristics as well as the formulation method used in developing the new SDOF model, where consideration is given to material rate sensitivity in accordance with the Cowper-Symonds model. The details of the overall model are then provided, mainly in the form of parametric tables, covering both the bending and catenary stages of the plastic rate-sensitive member response. Finally, several verification and application examples are provided, with particular emphasis given to the new developments, where comparisons are made against the nonlinear finite element analysis program ADAPTIC. These examples demonstrate the calculation process involved in applying the new SDOF model, and illustrate the very good accuracy which the new model achieves.

 

TABLE OF CONTENTS

FOREWORD

  1. INTRODUCTION
  2. PROBLEM CHARACTERISTICS AND ASSUMPTIONS
  3. FORMULATION METHOD
    1. Cross-sectional Response
    2. Bending Stage
    3. Catenary Stage
  4. CROSS-SECTIONAL RESPONSE
    1. Major-Axis Bending
    2. Minor-Axis Bending
  5. DYNAMIC STRENGTH
    1. Bending Stage
    2. Catenary Stage
    3. Evaluation of Model Parameters
  6. DUCTILITY MEASURES
  7. MODEL SOLUTION PROCEDURE
  8. EXAMPLES AND VERIFICATION
    1. Cross-section Response
    2. UDL Blast Loading
  9. CONCLUSION

REFERENCES

  1. APPENDIX A NOTATION
  2. APPENDIX B FIGURES
  3. APPENDIX C TABLES
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Published in: 2007
Keywords:
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