PSI - Issue 16

Róbert Beleznai et al. / Procedia Structural Integrity 16 (2019) 59–66 Róbert Beleznai et al. / Structural Integrity Procedia 00 (2019) 000 – 000

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Deflection of the bridging element under distributed load. Scale factor: 100 x.

Equivalent Cauchy stress distribution in the reinforcement elements. Scale factor: 100 x.

Fig. 2. Deflection and stress distribution in the bridging element with 28.57 of volume ratio of cane.

3.3. Verification of the finite element model

As there is no available standard or guideline for the design of composite bridging element, the comparison is made between the composite and the wooden lintel made of larch. The larch bridging element has the same dimension as the composite one. The Young’s modulus of the larch varies between 12.000 MPa and 13.800 MPa according to the availabl e information in the paper by Balázs (2017), thus, the lowest value is considered for the calculation together with 0.35 value of Poisson’s ratio. For the wooden bridging element (see Fig. 3), the maximum allowable bending stress is 99 MPa and the maximum allowable compression stress is 55 MPa according to Balázs (2017). The maximum value of the deflection in the cross-section of the middle of the bridging element is 0.21 mm with 2.4 MPa magnitude of the equivalent Cauchy stress. The obtained bending stress in the middle cross-section is 4.9 MPa, while the maximum tensile stress is 2.4 MPa at the upper part of the bridging element and 2.5 MPa of the compression stress at the lower part.

Deflection of the bridging element under distributed load. Scale factor: 100 x.

Equivalent Cauchy stress distribution. Scale factor: 100 x.

Fig. 3. Deflection and stress distribution in the wooden bridging element.

A bridging element made of wood can be considered as a quasi-homogenous beam fixed at both ends and loaded with distributed load (Fig. 4). In this case, the values of deflection and bending stress can be determined using the analytical solution described by Balázs (2017):