Optimality of a Fully Stressed Design

TITLE AND SUBTITLE:
Optimality of a Fully Stressed Design

AUTHOR(S):
Surya N. Patnaik and Dale A. Hopkins

REPORT DATE:
May 1998

FUNDING NUMBERS:
WU-505-53-5B-00

PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES):
National Aeronautics and Space Administration
Lewis Research Center
Cleveland, Ohio 44135-3191

PERFORMING ORGANIZATION REPORT NUMBER:
E-10284-1

SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES):
National Aeronautics and Space Administration
Washington, DC 20546-0001

REPORT TYPE AND DATES COVERED:
Technical Memorandum

SPONSORING/MONITORING AGENCY REPORT NUMBER:
NASA TM-1998-207411

SUPPLEMENTARY NOTES:
Responsible person, Surya N. Patnaik, organization code 5210, (216) 433-5916.

ABSTRACT:
For a truss a fully stressed state is reached and when all its members are utilized to their full strength capacity. Historically, engineers considered such a design optimum. But recently this optimality has been questioned, especially since the weight of the structure is not explicitly used in fully stressed design calculations. This paper examines optimality of the full stressed design (FSD) with analytical and graphical illustrations. Solutions for a set of examples obtained by using the FSD method and optimization methods numerically confirm the optimality of the FSD. The FSD, which can be obtained with a small amount of calculation, can be extended to displacement contstraints and to nontruss-type structures.

SUBJECT TERMS:
Truss; Design; Fully stressed; Optimality; Lagrangian

NUMBER OF PAGES:
18

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1998/TM-1998-207411.pdf
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