Plastic Design of Frames

Heyman, J

doi:10.1017/cbo9781139106740

Cited by 55 publications

(9 citation statements)

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“…The purpose of this section, therefore, is to establish sets of closed form equations for the internal forces of the system that are in conformity with the requirements of the uniqueness theorem (Heyman 1971). This is achieved by first defining the basic design objectives, the underlying assumptions and the controlling design criteria, and then deriving the constituent equations of equilibrium in terms of the finite difference operators.…”

Section: Performance Controlmentioning

confidence: 99%

Performance control for efficient design of double-layer grids under uniform loading

Grigorian¹

2014

Int J Adv Struct Eng

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Performance control (PC) is a recently developed, observation based, design process that aims at rational and efficient selection of structural elements rather than investigating their usefulness through iterative processes. The basic notion behind PC is that structural response is mainly a function of design and detailing, rather than numerical computations. The design concept uses pre-selected target displacements and failure mechanisms as key control objectives. While elastic analysis is still the predominant design methodology for double-layer grids (DLG) and similar structures under service conditions, performance-based procedures could further enhance their functional uses up to plastic limit states. The current contribution presents a general technique for the estimation of maximum plastic displacements of twistless, orthotropic, DLG of regular formation, simply supported along the sides of a parallelogram, and subjected to monotonically increasing uniform distribution of normal nodal forces. In the interim, a new application for the uniqueness theorem has also been discussed. The proposed methodology is ideally suited for preliminary design as well as capacity analysis purposes. It lends itself well to both manual and spreadsheet computations. The applications of the proposed solutions have been illustrated through a number of generic examples. The paper does not address seismic conditions.

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Section: Performance Controlmentioning

confidence: 99%

Performance control for efficient design of double-layer grids under uniform loading

Grigorian¹

2014

Int J Adv Struct Eng

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“…(14, 15) defines the lateral displacement of an independent module, then it may be suggested that; the maximum normal nodal displacements of VG of US at incipient collapse may be computed as the sum of the corresponding displacements of the individual modules either to the left or right of the joints of maximum plastic rotation. This implies that both the left and right hand segments of the collapsing girder may be used as suitable primary structures for displacement analysis (Hayman 1961(Hayman , 1971Horne 1979). A formal proof of Eqs.…”

Section: Girder Displacements At Incipient Collapsementioning

confidence: 99%

On displacement-based plastic design of parallel chord vierendeel girders

Grigorian¹

2014

Int J Adv Struct Eng

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The paper introduces the principles of displacement-based plastic design (DBPD) and its applications to the efficient design of parallel chord steel vierendeel girders under normal nodal forces. A simplifying assumption has been made that the mathematical model is composed of imaginary, pin connected modules that fit within the bays of the prototype. The use of this modeling concept in conjunction with the applications of the uniform strength theory leads to the development of an algorithm that is ideally suited for manual, minimum weight design of steel vierendeel girders under any distribution of vertical nodal forces. The resulting solutions are exact and unique and lend themselves well to DBPD and minimum weight treatment. In DBPD which is akin to performance control, member strengths and stiffnesses are assigned rather than tested. Several generic examples have been provided to illustrate the applications of the proposed design procedures. The numerical results of these examples have been verified through long hand and computer methods of analysis. An extensive proof of the proposed method of approach has been provided in the ''Appendix''.

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“…For practical purposes, Heyman (1971) suggests that the effect of this assumption may largely be offset by the strain hardening of structural steel at high curvatures. This is an area for further research.…”

Section: This Is Not the Case With Materials Hardening Ormentioning

confidence: 99%