SteelVerificationsEN (Eurocode)CBFEMBolts

Splices in shear in slip-resistant connection

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This is a selected chapter from book Component-based finite element design of steel connections by prof. Wald et al. The chapter is focused on verification of preloaded bolts.

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 \times M\times 8.8, plates 2 \times 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

$Steel S235$
$Splice 200\times12 mm$

Connectors

Bolts

$3 \times M20 8.8$
$Distances e 1 = 50 mm, p = 70 mm$

Two splices

$Steel S235$
$Plate 480\times200\times20 mm$

Code setup

$Friction coefficient in slip-resistance 0.5$

Outputs

$Design resistance F Rd = 320 kN$
$Design failure mode is slip of the bolts$

\textsf{\textit{\footnotesize{Fig. 5.5.3 Benchmark example of the bolted splices in shear}}}

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