#### Eindcolloquium – Ruud Winters

**Datum:**23 June

**Tijd: **12:00 - 14:00

**Locatie:**Colloquiumzaal vloer 5 (VRT 5.08)

**Kosten: **€0,00

**Sluiting inschrijving: **niet van toepassing

## Yieldline theory; implementation of compressive membrane action

The use of parametric design tools in the construction industry is promising. Therefore, calculation techniques which can be applied in such models – despite being sometimes less detailed than other techniques – come into use again. One of these models is the yieldline theory, which is used to calculate floor slabs through an upper bound approach. A parametric tool has been developed in earlier graduation projects using this theory. This tool provided the possibility to calculate all sorts of local effect, along the global yieldline pattern.

One of the aspects which hasn’t been taken into account was the effect of compressive membrane action (CMA) on floor slabs. CMA is a 2nd order mechanism, in which the deformation provides the initiation of normal forces in the structure. These normal forces act as an arch through the height of the structure, thus providing extra capacity. Different studies have been done to research the exact amount of extra capacity which is provided by CMA, and a theory was proposed for the effect of CMA in one direction, and for rectangular floor slabs, in which the effect of CMA has shown to be less than in one direction.

In this studies, first the calculation theory for rectangular floor slabs has been adjusted to fit arbitrary shaped slabs, so it can be used in a parametric design tool. Second, the influence of different shapes on the amount of CMA has been researched. In the end, these findings have been used to rewrite the existing parametric model to a model which provides the possibility to calculate a floor slab with the addition of CMA

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