PSI - Issue 37

4

Gonzalo Moltini et al. / Procedia Structural Integrity 37 (2022) 417–424 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

420

Parameter

Value/Range

α

[30º 45º 60º 75º]

b 1 b 2 h c

[40 60 80 100] (mm)

20 mm

[40 60 80 100] (mm)

Figure 3: Geometrical parameters for the connectors

Table 1 shows the structural properties introduced in the model for a Scots pine of strength class C24 (CEN 2016). The model considered timber as an orthotropic and bi-modulus material and the relationships between the elastic constants in tension and compression shown in Table 1 were considered (Baño et al. 2012). In addition, the relationship between the modulus of elasticity in the parallel and perpendicular to the grain directions and between the longitudinal and transversal direction given by EN 384 (CEN 2018) were considered. Rolling shear modulus and Poisson were obtained from (Gustafsson and Danielsson 2013) and (Aira et al. 2014), respectively.

Table 1: Mechanical properties of Scots pine timber considered in the numerical model

Properties E i (N/mm

Expression 4 ,0 ,0 (√ ,0 + √ ,0 ) 2 1,2 E c,0 11.000

Reference

2 )

EN 338 (CEN 2016)

E i (N/mm

2 )

(Baño et al. 2012)

E t,0 (N/mm E 90 (N/mm

2 ) 2 )

E E

i /30

EN 384 (CEN 2018) EN 384 (CEN 2018)

G 0,mean (N/mm G r,mean (N/mm

2 )

i,m /16

2 )

70 0,3

(Gustafsson and Danielsson 2013)

ν

(Aira et al. 2014)

Shear stresses in the connectors and deflections of the TTPs were numerically obtained by the application of the uniform residential load for the 64 different configurations of the panels. 3. Results 3.1 Shear Stresses The shear stresses in the middle section of the connectors (red line in Fig. 5) were obtained. For all the cases, the maximum shear stress was located on the connectors located closer to the supports (connectors named A and B).

Figure 4: Section used to study the shear stress

Fig. 5 shows diagrams of the maximum stresses obtained for the different parameter combinations of the connectors. Different colour curves show the variation of the shear stresses per angle of the dove- tail joint (α) depending on the width (b 1 ) and the height of the connector (h c ).