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Optimum design of prestressed concrete slabs using primal geometric programming
Author(s) -
Ramamurthy S.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620130203
Subject(s) - slab , offset (computer science) , structural engineering , ultimate tensile strength , prestressed concrete , set (abstract data type) , reinforcement , geometric programming , computer science , mathematical optimization , mathematics , engineering , materials science , composite material , programming language
Prestressed concrete members, because of the use of high strength materials and the efficient disposition of tensile forces, need considerably less material. This and other advantages, however, are offset by the high unit costs of materials and the associated specialized labour. Thus, it is important to make the most of the savings in materials through the application of optimum design procedure. Among the available optimization techniques, generalized geometric progamming (GGP) is ideally suited because the design equations of prestressed concrete members are expressible in the form of polynomials. Using the GGP, in this study, a set of minimum prestress force designs are obtained for various depths of one‐way slab. From the data thus obtained a minimum cost design procedure is explained. Moreover, the need for supplementary non‐prestressed reinforcement to obtain economical designs for depths of slab beyond a certain depth is also shown.