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    A General Formulation of the Optimal Frame Problem

    Source: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 002::page 356
    Author:
    D. E. Grierson
    ,
    M. Z. Cohn
    DOI: 10.1115/1.3408513
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Optimal design techniques have been extensively applied to steel structures and, to a lesser degree, to reinforced concrete structures. In the latter case, for given geometry and preassigned stiffnesses, optimal designs have been found which simultaneously satisfy (a) limit equilibrium (plastic limit stage), (b) serviceability (elastic limit stage), and (c) optimality (minimum material consumption). The limitations to these designs are: 1. A subsequent check of plastic compatibility may invalidate the design. 2. The resulting member stiffnesses may differ appreciably from the preassigned values. 3. A different geometry may result in a better solution while still satisfying all design criteria. The present paper attempts to eliminate these limitations through a more general formulation of the optimal frame problem wherein design plastic moments, member stiffnesses, and frame geometry are all treated as variables and are found for simultaneous satisfaction of (a) optimality, (b) limit equilibrium, (c) serviceability, (d) plastic compatibility, and (e) elastic compatibility. With some simplifying assumptions to linearize the problem, the general formulation is illustrated for a reinforced concrete continuous beam example. The resulting optimal design is compared with conventional elastic and plastic designs with respect to safety, serviceability, compatibility, and efficiency.
    keyword(s): Structural frames , Design , Geometry , Maintainability , Reinforced concrete , Equilibrium (Physics) , Steel AND Safety ,
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      A General Formulation of the Optimal Frame Problem

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    http://yetl.yabesh.ir/yetl1/handle/yetl/140878
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    contributor authorD. E. Grierson
    contributor authorM. Z. Cohn
    date accessioned2017-05-09T00:33:28Z
    date available2017-05-09T00:33:28Z
    date copyrightJune, 1970
    date issued1970
    identifier issn0021-8936
    identifier otherJAMCAV-25912#356_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/140878
    description abstractOptimal design techniques have been extensively applied to steel structures and, to a lesser degree, to reinforced concrete structures. In the latter case, for given geometry and preassigned stiffnesses, optimal designs have been found which simultaneously satisfy (a) limit equilibrium (plastic limit stage), (b) serviceability (elastic limit stage), and (c) optimality (minimum material consumption). The limitations to these designs are: 1. A subsequent check of plastic compatibility may invalidate the design. 2. The resulting member stiffnesses may differ appreciably from the preassigned values. 3. A different geometry may result in a better solution while still satisfying all design criteria. The present paper attempts to eliminate these limitations through a more general formulation of the optimal frame problem wherein design plastic moments, member stiffnesses, and frame geometry are all treated as variables and are found for simultaneous satisfaction of (a) optimality, (b) limit equilibrium, (c) serviceability, (d) plastic compatibility, and (e) elastic compatibility. With some simplifying assumptions to linearize the problem, the general formulation is illustrated for a reinforced concrete continuous beam example. The resulting optimal design is compared with conventional elastic and plastic designs with respect to safety, serviceability, compatibility, and efficiency.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA General Formulation of the Optimal Frame Problem
    typeJournal Paper
    journal volume37
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3408513
    journal fristpage356
    journal lastpage360
    identifier eissn1528-9036
    keywordsStructural frames
    keywordsDesign
    keywordsGeometry
    keywordsMaintainability
    keywordsReinforced concrete
    keywordsEquilibrium (Physics)
    keywordsSteel AND Safety
    treeJournal of Applied Mechanics:;1970:;volume( 037 ):;issue: 002
    contenttypeFulltext
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