A theorem for the plastic design of regular twistless grids under continuous transverse loading

Grigorian, Mark; Yaghmai, S.

doi:10.1016/0020-7683(73)90050-4

Cited by 5 publications

(2 citation statements)

References 4 publications

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“…The pioneering efforts in these fields are due to, among others Hayman (1952Hayman ( , 1953, Stevens (1961Stevens ( , 1968, Hongladaromp et al (1968), Wah (1969), Grigorian (1971Grigorian ( , 1972Grigorian ( , 1973a and Saka and Heki (1971). More definitive treatments have also been reported, among others, by Grigorian (1973b), Marsh (1975Marsh ( , 1977, Supple and Collins (1981), Parke and Walker (1984), Schmidth (2000a), Kaveh and Talatahari (2009), Ghoizadeh et al (2012) and Maalek and Abadi (2012). A well-organized review of space structures with particular emphasis on analytic methodologies including plastic limit analysis has been compiled by Heristchian (2000).…”

Section: Introductionmentioning

confidence: 89%

“…The plastic failure load of the subject class of structures can be deducted either by long hand analysis or directly using the principles of the load sharing concept (LSC) (Grigorian and Yaghmai 1973). The LSC is briefly reintroduced as both a method of direct analysis and a means of verifying the results of long hand solutions.…”

Section: Plastic Failure Load Analysismentioning

confidence: 99%

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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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