Figure 12.
A conceptual model shows rotational and axial stiffness components of a reinforced system.The diagram shows a reinforced element inside surrounding material with a moment M applied to it. The equation M, M b plus M ax, divides the moment into bending and axial parts. The bending part shows two curved members with labels M b, t and M b, l. The axial part shows two straight members with labels V t and V l. A spiral spring labelled K R shows rotational stiffness. A paired spring labelled K R, axial connects to two larger spring models. One larger model shows vertical stiffness with labels K V, t and K V, l. The other larger model shows bending rotational stiffness with labels K R, b, t and K R, b, l. Dashed lines connect the simple stiffness symbols to the larger spring models.

Illustration of the two moment resisting mechanisms for an idealised 2 × 1 pile group layout; simple spring models employed to reproduce each mechanism (Sakellariadis et al., 2026). Decomposition of total rocking stiffness, KR, in rocking stiffness stemming from the axial loading of the piles, KR,axial, and the rocking stiffness corresponding to the bending stiffness of the piles, KR,b. Further decomposition of KR,axial to vertical strings for compression and tension, and decomposition of KR,b to rotational springs in each pile head (function of the axial loading of each pile)

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