Compatibility requirements for yield-line mechanisms

Denton, S R

doi:10.1016/s0020-7683(00)00230-4

Cited by 12 publications

(11 citation statements)

References 2 publications

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“…The analogy between the compatibility requirements of yield-line patterns and the equilibrium requirements of trusses appears to have been identified comparatively recently [ 26 ]. This finding is of interest since numerical layout optimization techniques have been applied to the problem of identifying optimal trusses for several decades (e.g.…”

Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

“…However, while Denton [ 26 ] showed that a truss corresponding to a compatible yield-line pattern must have at least one state of self-stress (or ‘degree of redundancy’), it can be shown that there must always exist a statically determinate optimum solution for the single load case truss layout optimization problem. This makes the analogy perhaps less immediately obvious than that identified between discretized optimal truss layouts and the critical arrangement of slip-lines in plane plasticity problems [ 25 ]; in the latter case, many important plane plasticity problems have patterns of slip-lines defining the failure mechanism which correspond to the layouts of bars in statically determinate trusses.…”

Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

“…However, noting the observation of Denton [ 26 ] that the truss corresponding to a compatible yield-line pattern must have at least one state of self-stress (i.e. is ‘pre-stressed’), it is of interest to instead consider the closely related problem of finding the optimal layout of a truss which has no external loading (i.e.…”

Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

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Automatic yield-line analysis of slabs using discontinuity layout optimization

Gilbert

Smith

et al. 2014

Proc. R. Soc. A.

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The yield-line method of analysis is a long established and extremely effective means of estimating the maximum load sustainable by a slab or plate. However, although numerous attempts to automate the process of directly identifying the critical pattern of yield-lines have been made over the past few decades, to date none has proved capable of reliably analysing slabs of arbitrary geometry. Here, it is demonstrated that the discontinuity layout optimization (DLO) procedure can successfully be applied to such problems. The procedure involves discretization of the problem using nodes inter-connected by potential yield-line discontinuities, with the critical layout of these then identified using linear programming. The procedure is applied to various benchmark problems, demonstrating that highly accurate solutions can be obtained, and showing that DLO provides a truly systematic means of directly and reliably automatically identifying yield-line patterns. Finally, since the critical yield-line patterns for many problems are found to be quite complex in form, a means of automatically simplifying these is presented.

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Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

Section: Analogy Between Optimal Layouts Of Truss Bars and Yield-linementioning

confidence: 99%

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Automatic yield-line analysis of slabs using discontinuity layout optimization

Gilbert

Smith

et al. 2014

Proc. R. Soc. A.

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“…The internal stiffening beams causing the failure of the plate system in a local collapse mechanism are called nonshallow beams and the beams causing the plate failure in a global collapse mechanism are termed shallow beams [25]. Alternatively, the shape of the complete collapse mechanism of a rectangular plate failing in the global collapse mechanism or in the local collapse mechanism can be derived by considering the laws of mechanics of rigid bodies and the theorems postulated by researchers [26][27][28][29].…”

Section: Formulation Of Design Equationsmentioning

confidence: 99%

Designing Laterally Loaded RC Stiffened Plates: Energy Balance Concept

Singh

2012

ISRN Civil Engineering

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Plates are most widely used structural systems to build and/or enclose the space along with some other structural elements, namely, walls, columns, and so forth. in any building. Design procedure for proportioning plates has been recommended in various design codes based upon empirical relations and some factors found on basis of the results of an extensive series of tests and wellestablished performance record of various plate/slab systems constructed in the past. These guidelines have a number of inherent limitations in the form of assumptions, thereby, forcing the designers to proportion the plate system within the domain of these limitations. A procedure to design reinforced concrete stiffened-plates is presented using an energy-balance concept and it can be used for both a single panel as well as multipanel rectangular plate system with any value of aspect ratio, number of panels, and orthotropy. To validate the results from the proposed design procedure, these are compared with the results from well-established literature on the plate analysis and are found to be in good agreement. Working procedure is illustrated with the help of design examples.

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“…So far, there has been no simple way of specifying the geometric parameters of a yield line pattern that would always satisfy the kinematic conditions. 10 There is also no generally applicable rule for generating all the yield line patterns to be considered in the analysis. To overcome the above problem, Munro and Da Fonseca 11 developed in 1978 a yield line method that does not require the input of assumed yield line patterns.…”

mentioning

confidence: 99%

Dip and strike angles method for yield line analysis of reinforced concrete slabs

Kwan¹

2004

Magazine of Concrete Research

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Yield line analysis is a useful method for design of reinforced concrete slabs, but has been limited to slabs of simple geometry, because up to now there has been no generally applicable and fully automatic computational procedure for complex-shaped slabs. Herein, a new yield line method that can be applied to any convex polygonal-shaped slab is developed. In this method, the deflections of the slab regions divided by yield lines are measured in terms of the dip and strike angles of the slab surfaces, which can define the geometry of all kinematically admissible collapse mechanisms or yield line patterns. The external work done and the internal energy dissipation at yield lines are evaluated as functions of the dip and strike angles, and the principle of virtual work is used to determine the corresponding load factor. The final solution is obtained by minimising the load factor with respect to the dip and strike angles. A computer program based on this method has been produced. Its correctness is verified by checking against results obtained by others for simple cases, and its versatility is demonstrated by applying it to complicated slabs subjected to point, line, patch and uniformly distributed loads.

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Compatibility requirements for yield-line mechanisms

Cited by 12 publications

References 2 publications

Automatic yield-line analysis of slabs using discontinuity layout optimization

Automatic yield-line analysis of slabs using discontinuity layout optimization

Designing Laterally Loaded RC Stiffened Plates: Energy Balance Concept

Dip and strike angles method for yield line analysis of reinforced concrete slabs

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