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    Surya N. PatnaikOhio Aerospace Institute, Brook Park, Ohio

    Dale A. Hopkins and Gary R. HalfordGlenn Research Center, Cleveland, Ohio

    Integrated Force Method Solution toIndeterminate Structural Mechanics Problems

    NASA/TP2004-207430

    March 2004

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    The NASA STI Program Office . . . in Profile

    Since its founding, NASA has been dedicated tothe advancement of aeronautics and spacescience. The NASA Scientific and TechnicalInformation (STI) Program Office plays a key partin helping NASA maintain this important role.

    The NASA STI Program Office is operated byLangley Research Center, the Lead Center forNASAs scientific and technical information. TheNASA STI Program Office provides access to theNASA STI Database, the largest collection ofaeronautical and space science STI in the world.The Program Office is also NASAs institutionalmechanism for disseminating the results of itsresearch and development activities. These resultsare published by NASA in the NASA STI ReportSeries, which includes the following report types:

    TECHNICAL PUBLICATION. Reports ofcompleted research or a major significantphase of research that present the results ofNASA programs and include extensive dataor theoretical analysis. Includes compilationsof significant scientific and technical data andinformation deemed to be of continuingreference value. NASAs counterpart of peer-reviewed formal professional papers buthas less stringent limitations on manuscript

    length and extent of graphic presentations.

    TECHNICAL MEMORANDUM. Scientificand technical findings that are preliminary orof specialized interest, e.g., quick releasereports, working papers, and bibliographiesthat contain minimal annotation. Does notcontain extensive analysis.

    CONTRACTOR REPORT. Scientific andtechnical findings by NASA-sponsoredcontractors and grantees.

    CONFERENCE PUBLICATION. Collectedpapers from scientific and technicalconferences, symposia, seminars, or othermeetings sponsored or cosponsored byNASA.

    SPECIAL PUBLICATION. Scientific,technical, or historical information fromNASA programs, projects, and missions,often concerned with subjects havingsubstantial public interest.

    TECHNICAL TRANSLATION. English-language translations of foreign scientificand technical material pertinent to NASAsmission.

    Specialized services that complement the STIProgram Offices diverse offerings includecreating custom thesauri, building customizeddatabases, organizing and publishing researchresults . . . even providing videos.

    For more information about the NASA STIProgram Office, see the following:

    Access the NASA STI Program Home Pageat http://www.sti.nasa.gov

    E-mail your question via the Internet [email protected]

    Fax your question to the NASA AccessHelp Desk at 3016210134

    Telephone the NASA Access Help Desk at3016210390

    Write to:NASA Access Help Desk

    NASA Center for AeroSpace Information7121 Standard DriveHanover, MD 21076

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    Surya N. PatnaikOhio Aerospace Institute, Brook Park, Ohio

    Dale A. Hopkins and Gary R. HalfordGlenn Research Center, Cleveland, Ohio

    Integrated Force Method Solution toIndeterminate Structural Mechanics Problems

    NASA/TP2004-207430

    March 2004

    National Aeronautics and

    Space Administration

    Glenn Research Center

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    Available from

    NASA Center for Aerospace Information7121 Standard DriveHanover, MD 21076

    National Technical Information Service5285 Port Royal RoadSpringfield, VA 22100

    Trade names or manufacturers names are used in this report foridentification only. This usage does not constitute an officialendorsement, either expressed or implied, by the National

    Aeronautics and Space Administration.

    Available electronically at http://gltrs.grc.nasa.gov

    This work was sponsored by the Low Emissions AlternativePower Project of the Vehicle Systems Program at the

    NASA Glenn Research Center.

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    REPORT DOCUMENTATION PAGE

    2. REPORT DATE

    Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources,gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of thiscollection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 JeffersonDavis Highway, Suite 1204, Arlington, VA 22202-4302, and to the Office of Management and Budget, Paperwork Reduction Project (0704-0188), Washington, DC 20503.

    Form Approved

    OMB No. 0704-0188

    8. PERFORMING ORGANIZATION

    REPORT NUMBER

    5. FUNDING NUMBERS

    3. REPORT TYPE AND DATES COVERED

    4. TITLE AND SUBTITLE

    6. AUTHOR(S)

    7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)

    11 SUPPLEMENTARY NOTES

    Technical Paper

    National Aeronautics and Space Administration

    John H. Glenn Research Center at Lewis Field

    Cleveland, Ohio 44135 3191

    1. AGENCY USE ONLY (Leave blank)

    10. SPONSORING/MONITORING

    AGENCY REPORT NUMBER

    9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)

    National Aeronautics and Space AdministrationWashington, DC 20546 0001

    March 2004

    NASA TP2004-207430

    E10681

    WBS227082405

    Integrated Force Method Solution to Indeterminate Structural

    Mechanics Problems

    Surya N. Patnaik, Dale A. Hopkins, and Gary R. Halford