Description
This study is focused on the verification of component-based finite element method (CBFEM) for the resistance of the symmetrical double splice slip-resistant connection to an analytical model (AM).
Analytical model
The slip resistance of a preloaded bolt is designed according to chapter 3.9.1 in EN 1993-1-8:2005. The preloading force is taken at 70 % of the ultimate strength of a bolt according to equation (3.7).
Verification of resistance
Design resistances calculated by CBFEM are compared with the results of analytical model (AM); see (Wald et al. 2018). The results are summarized in Tab. 5.5.1. The parameter is bolt diameter; see Fig. 5.5.1.
\[ \textsf{\textit{\footnotesize{Drawing 5.5.1 Joint geometry and dimensions}}}\]
Tab. 5.5.1 Comparison of bolt resistance predicted by FE model to analytical one for bolt diameter; joint: splice 200/12 mm, bolts 2 × M× 8.8, plates 2 × 200/20 mm, steel S235
| Parameter | Analytical Model (AM) | CBFEM | AM/ CBFEM | |||
| Diam. | Distances | Resist. [kN] | Critical component | Resist. [kN] | Critical component | |
| M16 | p = 55 e1 = 40 | 211 | Slip | 205 | Slip | 1,03 |
| M20 | p = 70 e1= 50 | 329 | Slip | 320 | Slip | 1,03 |
| M24 | p = 80 e1 = 60 | 474 | Slip | 463 | Slip | 1,02 |
| M27 | p = 90 e1 = 70 | 617 | Slip | 596 | Slip | 1,04 |
| M30 | p = 100 e1 = 75 | 754 | Slip | 728 | Slip | 1,04 |
\[ \textsf{\textit{\footnotesize{Fig. 5.5.1 Sensitivity study for the bolt diameter}}}\]
The results of sensitivity studies are summarized in the graph in Fig. 5.5.2. The results show that the differences between the two calculation methods are below 5 %. Analytical model gives generally higher resistance.
\[ \textsf{\textit{\footnotesize{Fig. 5.5.2 Verification of CBFEM to AM for the slip-resistant double splice connection}}}\]
Benchmark example
Inputs
Connected member
- Steel S235
- Splice 200×12 mm
Connectors
Bolts
- 3 × M20 8.8
- Distances e1 = 50 mm, p = 70 mm
Two splices
- Steel S235
- Plate 480×200×20 mm
Code setup
- Friction coefficient in slip-resistance 0.5
Outputs
- Design resistance FRd = 320 kN
- Design failure mode is slip of the bolts
\[ \textsf{\textit{\footnotesize{Fig. 5.5.3 Benchmark example of the bolted splices in shear}}}\]