Modified fully utilized design (MFUD) method for stress and displacement constraints

• Published in: International journal for numerical methods in engineering Vol. 41; no. 7; pp. 1171 - 1194
• Main Authors: Patnaik, Surya N., Gendy, Atef S., Berke, Laszlo, Hopkins, Dale A.
• Format: Journal Article
• Language: English
• Published: New York John Wiley & Sons, Ltd 15.04.1998
• Subjects: force method; fully utilized design; optimization techniques
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/(SICI)1097-0207(19980415)41:7<1171::AID-NME296>3.0.CO;2-O

The traditional fully stressed method performs satisfactorily for stress‐limited structural design. When this method is extended to include displacement limitations in addition to stress constraints, it is known as the Fully Utilized Design (FUD). Typically, the FUD produces an overdesign, which is the primary limitation of this otherwise elegant method. We have modified FUD in an attempt to alleviate the limitation. This new method, called the Modified Fully Utilized Design (MFUD) method, has been tested successfully on a number of problems that were subjected to multiple loads and had both stress and displacement constraints. The solutions obtained with MFUD compare favourably with the optimum results that can be generated by using non‐linear mathematical programming techniques. The MFUD method appears to have alleviated the overdesign condition and offers the simplicity of a direct, fully stressed type of design method that is distinctly different from optimization and optimality criteria formulations. The MFUD method is being developed for practicing engineers who favour traditional design methods rather than methods based on advanced calculus and non‐linear mathematical programming techniques. The Integrated Force Method (IFM) was found to be the appropriate analysis tool in the development of the MFUD method. In this paper, the MFUD method and its optimality are examined along with a number of illustrative examples. © 1998 This paper was produced under the auspices of the U.S. Government and it is therefore not subject to copyright in the U.S.