Reinforced Concrete Shell Elements Subjected to Bending and Membrane Loads

10.14359/4353 ◽  
1994 ◽  
Vol 91 (3) ◽  
Author(s):  
Marina Vendl Craveiro ◽  
Túlio Nogueira Bittencourt ◽  
João Carlos Della Bella

abstract: Reinforced concrete shell elements are relevant in several civil and industrial structures. It is important to know the methods for designing and verifying such elements. In this context, the present paper aims at describing the iterative three-layer method proposed by Colombo et al. This method is based on the Model Code/1990, and it can be applied in the design of shell elements. An additional method for verifying reinforced concrete shell elements is also proposed and discussed. This one is based on the multilayer method proposed by Kollegger et al. Formulations as well as numerical examples are presented for both methods. The design proposed by Colombo et al. is verified by using the methodology based on the multilayer method. Although both methods lead to the equilibrium between applied and resistance loads using approximately the same amount of reinforcement, especially for small neutral axes in relation to the element thickness, one may conclude that the three-layer design method has limitations due to not considering strain compatibility along the thickness of the element and due to the impossibility to calculate the compression reinforcement. Although the multilayer method overcomes such limitations, it is a verification method, and more studies about its use in the design of reinforced concrete shell elements are necessary.


1981 ◽  
Vol 16 (1) ◽  
pp. 59-65 ◽  
Author(s):  
L A Godoy ◽  
J G A Croll ◽  
K O Kemp ◽  
J F Jackson

Interest in the effects of geometrical imperfections and cracks on the stresses in reinforced concrete shells has been stimulated by the failure of the Ardeer cooling tower. Due to the extreme difficulties of testing doubly curved, reinforced concrete shell models, a programme of experiments on an axially loaded aluminium cylinder containing controlled axisymmetric geometric imperfections has been carried out to show the nature of the stress distributions that occur when meridional cracking passes across the imperfection. Results over a wide range of crack configurations, for which the discrete cracks have both partial and complete loss of stiffness in the circumferential direction, are found to be in close agreement with predictions from an appropriate finite element numerical modelling. It is shown how the concentration of membrane hoop stresses associated with the imperfections are redistributed to cause substantial changes in meridional bending and membrane stresses only when a complete loss of stiffness occurs at the cracks. With the thin reinforced concrete shells used in cooling towers having only limited flexural capacity, the combination of geometric imperfections and cracks could, as a consequence, readily lead to failure once yield or fracture of the hoop reinforcement occurs.


2010 ◽  
Vol 5 (4) ◽  
pp. 426-436 ◽  
Author(s):  
Arja Saarenheimo ◽  
◽  
Kim Calonius ◽  
Markku Tuomala ◽  
Ilkka Hakola ◽  
...  

In developing numerical approaches for predicting the response of reinforced concrete structures impacted on by deformable projectiles, we predict structural behavior collapse and damage using simple analysis and extensive nonlinear finite element (FE)models. To verify their accuracy, we compared numerical results to experimental data and observations on impact-loaded concrete walls with bending and transverse shear reinforcement. Different models prove adequate for different cases and are sensitive to different variables, making it important to rely on more than a single model alone. For wall deformation in bending mode, deflection is predicted reasonably well by simple four-node shell elements. Where punching dominates, transverse shear behavior must be considered. Formation of a shear failure cone is modeled using three-dimensional solid elements.


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