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The Riding School in the Royal Palace of Naples: Transformations ...

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Figure 12. Bend<strong>in</strong>g moments diagram for <strong>the</strong> calculation scheme <strong>of</strong> fig.9<br />

In fact, <strong>the</strong> <strong>in</strong>sertion <strong>of</strong> <strong>the</strong> lateral trestles has shown to be detrimental: <strong>the</strong>ir absence would affect<br />

not much <strong>the</strong> distribution <strong>of</strong> bend<strong>in</strong>g moments, which would rema<strong>in</strong> <strong>of</strong> about <strong>the</strong> same size, but <strong>the</strong><br />

values <strong>of</strong> <strong>the</strong> normal stresses, which would enlarge enormously, quadruplicat<strong>in</strong>g on <strong>the</strong> tie-beam<br />

and <strong>the</strong> collar-beam. Obviously, <strong>the</strong> presence <strong>of</strong> <strong>the</strong> trestles <strong>in</strong>duces a strong thrust on lateral<br />

masonry walls, but not so large as to give rise to overturn<strong>in</strong>g phenomena. <strong>The</strong> loads resultant stay<br />

<strong>in</strong>side <strong>the</strong> lean<strong>in</strong>g base <strong>of</strong> <strong>the</strong> wall, giv<strong>in</strong>g a maximum compressive stress <strong>in</strong> masonry <strong>of</strong> about 0.9<br />

MPa.<br />

Structural <strong>in</strong>terpretation <strong>of</strong> <strong>the</strong> behaviour <strong>of</strong> <strong>the</strong> centr<strong>in</strong>gs<br />

In Niccol<strong>in</strong>i’s estimative metrical evaluation, when speak<strong>in</strong>g about <strong>the</strong> false vault <strong>of</strong> <strong>the</strong> rid<strong>in</strong>g<br />

school, he said: “Description <strong>of</strong> <strong>the</strong> 52 poplar centr<strong>in</strong>gs, put under <strong>the</strong> tie-beams <strong>of</strong> <strong>the</strong> trusses to<br />

more streng<strong>the</strong>n <strong>the</strong>m”. From <strong>the</strong>se words it seems that perhaps Niccol<strong>in</strong>i thought that <strong>the</strong> centr<strong>in</strong>gs<br />

did not just perform <strong>the</strong> simple function <strong>of</strong> mak<strong>in</strong>g <strong>the</strong> ceil<strong>in</strong>g, but also provided a structural<br />

contribution to <strong>the</strong> ma<strong>in</strong> structure. So a calculation has been done <strong>in</strong>sert<strong>in</strong>g <strong>the</strong> false vault with its<br />

poplar centr<strong>in</strong>gs between <strong>the</strong> bear<strong>in</strong>g structural elements <strong>of</strong> <strong>the</strong> truss. Results are those shown by <strong>the</strong><br />

normal stresses diagram (fig.13) and bend<strong>in</strong>g moments diagram (fig.14) quoted below, from which<br />

a reduction <strong>of</strong> <strong>the</strong> stresses on <strong>the</strong> tie-beam is evident. However this solution, if admissible, would<br />

produce a considerable <strong>in</strong>crease <strong>of</strong> <strong>the</strong> thrusts on <strong>the</strong> masonry walls, apparently sufficient to<br />

overturn <strong>the</strong>m, and consequently it can be concluded that this scheme is not a description <strong>of</strong> <strong>the</strong> real<br />

behaviour <strong>of</strong> <strong>the</strong> structure built by Niccol<strong>in</strong>i. Moreover, from <strong>the</strong> description given <strong>in</strong> <strong>the</strong> document<br />

615

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