Minimal Weight Design for a Built-In Beam.

by Oliver Alfred Gross

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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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