PSI - Issue 81

Juraj Gerlici et al. / Procedia Structural Integrity 81 (2026) 66–72

68

To determine the thickness of the sheet, the classical Bubnov-Galerkin method was used. The sheet of the sheathing was considered as a plate. In accordance with this method, the stresses acting in the plate are determined by the expression:

2

2 a a b 2 2 )  

96 (

b

2 a b  + 

,

=  P





(1)

(

)

4

2



2 + 

2



where µ is Poisson's ratio, δ is the thickness of the plate, a , b , δ are the width, height, and thickness of the plate, respectively, P is the load concentrated over the area of the plate. It can be written from this formula by substituting known parameters of the material of the plate and its geometric dimensions:

96

2 . P b a a b a b      +     + 2 2 2 4 2 2 2 ( )

(2)



=

(

)

Based on the calculations, the sheet thickness was 3.4 mm. Since it will be formed by rectangular corrugations, the thickness can be reduced to the value δ =1.8 mm. In this case, the moment of resistance of the sheet is W = 2265135.2 cm 3 . The mass of the sheet is 67.26 kg, which is lower by 10.5% than the mass of a typical sheet. For example, with the same geometric parameters of the sheet, the moment of resistance W of rectangular corrugations is almost half that of sheets formed by corrugations with a different angle of inclination α to the horizontal (Fig. 2). The concept of a gondola body with a skin formed by sheets with rectangular corrugations is shown in Fig. 3. Considering the obtained parameters, the sheathing sheet has the form shown in Fig. 4.

Fig. 2. Moments of resistance of corrugated sheets depending on the angles of inclination of the corrugations.

Fig. 3. The supporting structure of the open wagon with corrugated wall sheet.