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                                Curved elements are often used in the construction of cut-and-cover
                        tunnels, silos and vaults. The behavior of these elements exhibits
                        several particularities that prevent the direct application of 
                        conventional theories or analysis methods (for rectilinear members)
                        in their design.   
                        In particular, the spalling strength of reinforcement is strongly
                        dependent on the the interaction between the deviation forces of the
                        tensile reinforcement and the transverse tensile stresses due to the
                        steel-concrete bond.   
                        A specific research performed at the Structural Concrete Laboratory
                        has shown that the spalling strength of these members can be
                        significantly decreased depending on the state of strain in the 
                        tensile reinforcement. Furthermore, the shear strength of these
                        members also depends on the curvature, with either a favorable or
                        an unfavorable effect.   
                        A test campaign at the Structural Concrete Laboratory has demonstrated
                        this point and allowed its inclusion in the Critical Shear Crack
                        Theory.   
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Reference publications
Curved elements 
   - Fernández Ruiz M., Plumey S., Muttoni A., Interaction between Bond and Deviation Forces in Spalling Failures of Arch-Shaped Members without Transverse Reinforcement, ACI Structural Journal, V. 107, USA, 2010, pp. 346-354.
   
 - Campana S., Fernández Ruiz M., Muttoni A., Shear Strength of Arch-Shaped Members without Transverse Reinforcement, ACI Structural Journal, V. 111, No. 1-6, USA, 2014.
  
Nodal regions of reinforced concrete frames 
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