Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- On utilise une modélisation POU_D_E. On fait une analyse à l’ELU. Caractéristiques du maillage ---------------------------- Le maillage contient 1 seul segment (soi 2 nœuds), maillé linéairement. Grandeurs testées et résultats ------------------------------ +------------------------+------------------------------+----------------------------------------------------------------------------------------------------------+--------------------------------------------------+ | **C** as de chargement | **Configuration considérée** | **Ferraillage Longitudinal de référence (en cm²)** | **Ferraillage** Transversal **(en cm²/** m **)** | | | +----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | | **DNS** Y **I** | **DNS** Y **S** | **DNS** Z **I** | **DNS** Z **S** | **DNS** T | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 1 | 1 | 0 | 0 | 0 | 0 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 0 | 0 | 0 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 0 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 0 | 0 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 0 | 0 | 0 | 17.69 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 2 | 1 | 5.75 | 5.75 | 5.75 | 5.75 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 5.75 | 5.75 | 5.75 | 5.75 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 5.75 | 5.75 | 11.5 | 5.75 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 5.75 | 5.75 | 5.75 | 5.75 | 3.93 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 5.75 | 5.75 | 5.75 | 5.75 | 17.69 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 3 | 1 | 5.75 | 5.75 | 5.75 | 5.75 | 4.9 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 5.75 | 5.75 | 5.75 | 5.75 | 4.9 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 6.8 | 6.8 | 12.55 | 6.8 | 4.9 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 5.75 | 5.75 | 5.75 | 5.75 | 4.9 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 5.75 | 5.75 | 5.75 | 5.75 | 19.87 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 4 | 1 | 5.18 | 0 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 5.18 | 0 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 5.18 | 0 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | -1 | -1 | -1 | -1 | -1 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 5.18 | 0 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 5 | 1 | 0 | 0 | 0 | 9.49 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 0 | 0 | 9.49 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 0 | 0 | 9.49 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 0 | 0 | 9.92 | 9.52 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 0 | 0 | 9.49 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 6 | 1 | 0 | 6.36 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 6.36 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 6.36 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 6.54 | 6.34 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 6.36 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 7 | 1 | 0 | 0 | 0 | 10.68 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 0 | 0 | 10.68 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 0 | 0 | 10.68 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 0 | 0 | 9.71 | 10.69 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 0 | 0 | 10.68 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 8 | 1 | 17.52 | 28.48 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 17.52 | 28.48 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 17.52 | 28.48 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 27.34 | 28.26 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 17.52 | 28.48 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 9 | 1 | 12.22 | 0 | 0 | 35.01 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 12.22 | 0 | 0 | 35.01 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 12.22 | 0 | 0 | 35.01 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | -1 | -1 | -1 | -1 | -1 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 12.22 | 0 | 0 | 35.01 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 10 | 1 | -1 | -1 | -1 | -1 | -1 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 2.9 | 50.1 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 2.9 | 50.1 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 0 | 2.4 | 41.68 | 39.3 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 2.9 | 50.1 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 11 | 1 | 0 | 7.92 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 7.92 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 7.92 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 7.22 | 7.92 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 7.92 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 12 | 1 | 0 | 14.4 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 14.4 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 14.4 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 13.27 | 13.95 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 14.4 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 13 | 1 | 0 | 22.38 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 22.38 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 22.38 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 19.62 | 20.54 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 22.38 | 0 | 0 | 0 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | 14 | 1 | -1 | -1 | -1 | -1 | -1 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 2 | 0 | 33.06 | 0 | 0 | 2.22 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 3 | 0 | 33.06 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 4 | 33.68 | 33.44 | 0 | 0 | 0 | | +------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+ | | 5 | 0 | 33.06 | 0 | 0 | 16.67 | +------------------------+------------------------------+----------------------------------------------------+-----------------+-----------------+-----------------+--------------------------------------------------+