Graphical Stability Analysis of Maillart’s Roof at Chiasso

McRobie, Allan; Millar, Cameron; Zastavni, Denis; Baker, William F.

doi:10.1080/10168664.2021.2018958

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…By inspection, this framework has two states of self-stress, one symmetric and the other antisymmetric. The count, given in equation (8), does not detect either state of self-stress. This is because the states of self-stress are not related to the symmetry of the framework.…”

Section: Methods Beyond Symmetrymentioning

confidence: 99%

“…Similarly, if an antisymmetric load is applied then an antisymmetric state of self-stress is required. Half-loads, such as snow drifts, can be decomposed into a symmetric and antisymmetric load, as is discussed by McRobie et al 8 The authors note that even if the form diagram possesses a symmetric state of self-stress, the gridshell may not be funicular for the desired load case.…”

Section: Introductionmentioning

confidence: 99%

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Symmetry and the design of self-stressed structures

Millar,

Schulze,

Mazurek

et al. 2023

International Journal of Space Structures

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The symmetry adapted counting rule for mechanisms and states of self-stress in symmetric frameworks is presented in an accessible and intuitive manner with the aim of empowering engineers who design such structures. By simply counting nodes and bars, it is possible to detect states of self-stress and mechanisms beyond the standard Maxwell-Calladine count. This methodology is first introduced without the need to understand the underlying group theory before being applied to a range of example frameworks. Design problems focusing on gridshells are discussed – it is noted that placing bars on lines of mirror symmetry tend to increase the number of states of self-stress in a framework, which can be desirable. This paper reformulates common symmetric frameworks and introduces simple rules regarding how to obtain a greater number of states of self-stress. By allowing for the design of states of self-stress, the forces in the structure can be designed with greater control.

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Section: Methods Beyond Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%