187
            
            
              IBRACON Structures and Materials Journal • 2012 • vol. 5  • nº 2
            
            
              
                R. M. F. CANHA  |
              
            
            
              
                G. M. CAMPOS  |
              
            
            
              
                M. K. EL DEBS
              
            
            
              showed a similar behavior to that of monolithic connections, hence
            
            
              resulting in full transfer of the bending moments and normal loads
            
            
              from column to socket, it is recommended, for the case of rough in-
            
            
              terface sockets, to apply the bending theory for designing the main
            
            
              vertical reinforcement. Nonetheless, tests carried out by Jaguaribe
            
            
              Jr. [9] showed that the estimated connection strength based on
            
            
              the bending theory for reduced embedded lengths was higher than
            
            
              experimental strength values obtained from tested specimens.
            
            
              This indicated that the bending theory is applicable only to sockets
            
            
              with embedded lengths that meet the criteria given by the Brazilian
            
            
              Standard Code NBR 9062:2006 [6].
            
            
              In this paper, a refined model for detailing the vertical reinforce-
            
            
              ments is presented, originally proposed by Canha [4], with addi-
            
            
              tional considerations and recommendations, as shown in Figure 7.
            
            
              For a more precise analysis, it is recommended take into account
            
            
              all vertical reinforcements contributing to the strength of the con-
            
            
              nection
            
            
              .
            
            
              Besides this, the rectangular-parabolic concrete compres-
            
            
              sion stress diagram should be adopted.
            
            
              However, for practical applications, a simplified analysis can be em-
            
            
              ployed. This approach assumes a simplified diagram of concrete
            
            
              compression stress with height equal to 0.8 of the depth of the neutral
            
            
              axis and the resulting tensile force determined by the contribution of
            
            
              the main vertical reinforcements at the corners of rear wall and the
            
            
              secondary vertical reinforcements placed in this wall. Hence, the es-
            
            
              timated total reinforcement based on the bending theory is obtained
            
            
              from equation 3 and the reinforcement
            
            
              
                A
              
            
            
              
                s,mv
              
            
            
              is then calculated.
            
            
              (3)
            
            
              tsv ,s
            
            
              mv ,s
            
            
              tot ,s
            
            
              A A2
            
            
              A
            
            
              + × =
            
            
              The secondary reinforcements of rough interface sockets are de-
            
            
              signed considering the behavior of the longitudinal walls similar to
            
            
              that of short corbel. It is noted that, in the application of bending
            
            
              theory, the reinforcement
            
            
              tsv ,s
            
            
              A
            
            
              is included in the calculation of
            
            
              tot ,s
            
            
              A
            
            
              and  it is equal to
            
            
              
                0.40 . A
              
            
            
              
                s,mv
              
            
            
              . This secondary reinforce-
            
            
              ment is important in socket foundation to resist secondary stresses
            
            
              and for crack control of the pedestal walls.
            
            
              Figure 7 shows the following parameters:
            
            
              
                M
              
            
            
              
                bd
              
            
            
              : Design bending moment at socket base
            
            
              csf
            
            
              R
            
            
              : Resultant of concrete compressive stress of socket
            
            
              1ssf
            
            
              ssf
            
            
              R R
            
            
              =
            
            
              : Resultant of forces in vertical reinforcements
            
            
              tsv,s
            
            
              mv ,s
            
            
              A A.2
            
            
              +
            
            
              at
            
            
              sf
            
            
              1
            
            
              d d
            
            
              =
            
            
              ssfi
            
            
              R
            
            
              : Resultant of forces in secondary vertical reinforcements
            
            
              lsv,s
            
            
              A
            
            
              at
            
            
              i
            
            
              d
            
            
              . In the case of secondary vertical reinforcement in
            
            
              two layers, for instance, there are the following parameters:
            
            
              2 ssf
            
            
              R
            
            
              : Resultant of forces in secondary vertical reinforcements
            
            
              lsv,s
            
            
              A
            
            
              at
            
            
              2
            
            
              d
            
            
              3 ssf
            
            
              R
            
            
              : Resultant of forces in secondary vertical reinforcements
            
            
              lsv,s
            
            
              A
            
            
              at
            
            
              3
            
            
              d
            
            
              s
            
            
              
                cd
              
            
            
              : Design concrete compressive stress of socket
            
            
              Figure 6 – Positioning of pedestal reinforcements
            
            
              
                d
              
            
            
              
                V
              
            
            
              A
            
            
              A
            
            
              
                A
              
            
            
              
                s,tmh
              
            
            
              
                A
              
            
            
              
                s,lmh
              
            
            
              Section B-B
            
            
              
                A
              
            
            
              
                s,lsv
              
            
            
              
                A
              
            
            
              
                s,vm
              
            
            
              
                A
              
            
            
              
                s,vm
              
            
            
              
                A
              
            
            
              
                s,tsv
              
            
            
              
                A
              
            
            
              
                s,tsh
              
            
            
              
                A
              
            
            
              
                s,lsh
              
            
            
              rear transv.
            
            
              wall
            
            
              longitudinal
            
            
              wall
            
            
              front transv.
            
            
              wall
            
            
              longitudinal
            
            
              wall
            
            
              B
            
            
              B
            
            
              Section A-A
            
            
              
                A
              
            
            
              
                s,lsv
              
            
            
              
                A
              
            
            
              
                s,mv
              
            
            
              
                A
              
            
            
              
                s,mv
              
            
            
              
                A
              
            
            
              
                s,tsv
              
            
            
              
                d
              
            
            
              
                N
              
            
            
              
                d
              
            
            
              
                M