Issue 53
I. Monetto et alii, Frattura ed Integrità Strutturale, 53 (2020) 372-393; DOI: 10.3221/IGF-ESIS.53.29 383 Figure 9: Relative rotation compliance coefficients under symmetrical transverse forces according to the simplified model and for degenerate orthotropic materials ( =1) with varying =0.5,1. Figure 10: Relative deflection compliance coefficients under symmetrical transverse forces according to the simplified model and for degenerate orthotropic materials ( =1) with varying =0.5,1. Similar considerations can be made from the results shown in Figs. 7, 8 and 10, 11 which depict the root displacement compliance coefficients 0 V c , 0 N c and 0 V EB c , 0 N EB c under symmetrical transverse forces and a pair of longitudinal forces, respectively. 0 0 M V c d and 0 0 M V EB EB c d are shown in Figs. 4 and 9. It is worthwhile noting that the relative rotation compliance coefficients under symmetrical bending and a pair of longitudinal forces calculated using the Euler-Bernoulli model coincide with those pertinent to the Timoshenko beam based model, shown in Figs. 5 and 6: 0 0 M M EB d d and 0 0 N N EB d d , even if the correction factors differ. This is a consequence of the well known equivalence between the 2D elasticity and beam theory descriptions of the problem under such loading conditions, e.g. [8]. On the other hand, the relative rotation compliance coefficient under symmetrical transverse forces 0 V EB d , shown in Fig. 9, differs from 0 V d , shown in Fig. 4, according to the following relationship
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