PSI - Issue 12

M. Catena et al. / Procedia Structural Integrity 12 (2018) 538–552 M. Catena et Al. / Structural Integrity Procedia 00 (2018) 000–000

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Figure 10. Deformed shapes of two adjacent cells under di ff erent longitudinal shears

Figure 11. Theoretical and numerical predictions of the displacements ( left column ), sectional rotations ( central column ) and nodal rotations ( right column ) of track segments with N = 10, 20 and 100 cells.

transversal load. In order to determine the amplitude m 1 of this couple of bending moments, we observe that in the equilibrated solution the unit transversal load causes the jump ∆ T H = Γ h / Γ p = α H in the couple T H = dM h / dx . Hence, according to the first of Eq. (3) for the nodal rotations of the section j where the load is applied the discontinuity ∆ ϕ = − ∆ ξ = − ∆ T H /κ H (10)