Minimal Weight Design for a Built-In Beam.

Oliver Alfred Gross

ResearchPublished 1962

A treatment of the problem of designing a horizontal I-beam of variable flange thickness and constant web height. The beam is built in at both ends and is otherwise unsupported, but is subjected to a concentrated vertical unit load that moves slowly from one end to the other. A linear program in function space is obtained, using the concepts of limit analysis (based on the signum-type stress-strain diagram); and the solution of the program is given, yielding the minimum weight design as well as the critical reactions at the ends of the beam. (See also RM-2993.) 28 pp.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1962
  • Print Format: Paperback
  • Paperback Pages: 28
  • Paperback Price: $20.00
  • Document Number: RM-3371-PR

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RAND Style Manual
Gross, Oliver Alfred, Minimal Weight Design for a Built-In Beam. RAND Corporation, RM-3371-PR, 1962. As of September 24, 2024: https://www.rand.org/pubs/research_memoranda/RM3371.html
Chicago Manual of Style
Gross, Oliver Alfred, Minimal Weight Design for a Built-In Beam. Santa Monica, CA: RAND Corporation, 1962. https://www.rand.org/pubs/research_memoranda/RM3371.html. Also available in print form.
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