PSI - Issue 16

Róbert Beleznai et al. / Procedia Structural Integrity 16 (2019) 59–66 Róbert Bel znai t al. / S ructural Integri y Procedia 00 (20 9) 0 0 – 000

63 5

Fig. 4. The beam fixed at its both ends by Balázs (2017) .

The moment of inertia for the beam with the square cross-section



 4

125 mm

4

4

x I a

(1)

20345052 mm

 



12

12

The section modulus for the beam with square cross-section



 3

125 mm

3

3

x K a

(2)

325520.8 mm

 



6

126

Determination of the maximum deflection value

 22 900 mm mm 384 12000 MPa 20345052 mm    N  4

4

WL

0.154 mm

 





(3)

4

EI

384

x

Bending stress

 22 900 mm mm 12 12 325520.8 mm     N WL K  2 2 2

σ

4.56 MPa 4.6 MPa 



(4)

x

Comparing the obtained results using the numerical and analytical methods (see Table 3) demonstrates a very good correlation indicating that the finite element model developed for the analysis of the bridging element is appropriate. The obtained bending stress for the wooden beam (4.9 MPa) is much lower than the maximum allowable bending stress for the bridging element (99 MPa).

Table 3. Comparison of the Results of Analytical and Numerical Solutions. Analytical results

Results of numerical simulation

Maximum value of deflection [mm]

0.154

0.205

Bending stress [MPa]

4.6

4.9

3.4. Thermal analysis

The aim of the thermal analysis is to investigate the response of the new composite bridging element in case of temperature load, as well as to determine the heat flux. The thermal analysis requires the knowledge of the following input data for all components of the composite material: thermal conductivity (λ), specific heat ( c ) and density (ρ).