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Analysis of Statically Indeterminate Coplanar Frames

  • G. L. Nelson
  • H. B. Manbeck
  • N. F. Meador

Abstract

Statically indeterminate coplanar frames have reactions and internal stresses that cannot be determined only by applying the three basic equations of static equilibrium. In general, indeterminacy exists when there are more unknown reaction or stress components applied to a frame or member than the number of independent equations of static equilibrium that can be written. For example, the reactions from the supports of a two-hinged arch are statically indeterminate because the supports can develop a total of four independent reaction components (a horizontal and a vertical force at each hinge), but only three independent equations of static equilibrium can be written. In this case there is one redundant reaction component, or one degree of indeterminacy.

Keywords

Reaction Component Moment Distribution Elastic Line Frame Rotation Joint Translation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Van Nostrand Reinhold Company Inc 1988

Authors and Affiliations

  • G. L. Nelson
    • 1
  • H. B. Manbeck
    • 2
  • N. F. Meador
    • 3
  1. 1.Agricultural Engineering DepartmentOhio State UniversityColumbusUSA
  2. 2.Agricultural Engineering DepartmentPennsylvania State UniversityUniversity ParkUSA
  3. 3.Agricultural Engineering DepartmentUniversity of MissouriColumbiaUSA

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