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--- wikiffcd2022:errata_dispensa_2021_v20210907 [2022/03/09 13:16] – creata ebertocchi
+++ wikiffcd2022:errata_dispensa_2021_v20210907 [2022/03/09 13:17] (versione attuale) – ebertocchi
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 A solution scheme based on the //principle of virtual works// (and not on the second Castigliano theorem) is not prone to this subtle error, since the  tracer virtual unit action used to obtain the consistent virtual displacement/deformation field is -- since //virtual// -- uncoupled with both the //real// external forces and the //real// parametrically defined reactions.
-==== Planar beam structure i.p. and o.o.p. loadings ====
-The beam structure centroidal axis lies on a plane, which is also a symmetry plane for the cross-sections.
-Symmetric and skew-symmetric loads with respect to such a plane are called //in-plane// and //out-of-plane// loads, respectively.
-If the superposition of effects holds (e.g., if the structure behaves linearly) each load set only induces an associated subset of the possible components of internal action, see
-{{:wikipaomffcd2022:planar_beam_structs_in_out_of_plane_loadings_v000.jpg?200|}}
-==== Symmetric and skew-symm. parts of a general load ====
-{{ :wikiffcd2022:symm_and_sksymm_parts.pdf.png?200 |}}
-{{ :wikiffcd2022:symm_and_sksymm_parts.pdf |(ipe source)}}
-A general load is applied to a symmetric structure in a);
-in b), c) the loads applied on each half structure is treated separately.
-In d), e) the action on the loaded portion is halved, and symmetrically propagated to the other portion;
-those symmetric actions are accumulated in the **symmetric part** of the load f).
-In g), h) the action on the loaded portion is halved, and skew-symmetrically propagated on the unloaded portion; those skew-symmetric actions are accumulated in the **skew-symmetric part** of the load i).