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Therefore, the amount of slab reinforcement will be sufficient provided that the moment capacity exceeds the applied moment for any location and plane.
Note that increasing the slab thickness simultaneously increased the amount of slab reinforcement according to the minimum requirement of reinforcement ratio for slabs, such an increase will in turn enhanced the progressive collapse resistance.
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The composition of the metasomatized mantle wedge can vary greatly according to the nature (aqueous fluids formed from by the dehydration of the slab, or silicate melts, formed by the melting of the slab) and the amounts of slab-derived components added to the mantle (e.g. Ayers [1998]; Grove et al. [2002]; Rüpke et al. [2002]; Straub et al. [2004]).
In this model, we vary the amount of metasomatic slab fluid added into the mantle while its composition is kept constant.
Thus, we normalized X f to the amount of H2O in slab fluxes C H 2 O slab flux : C i arc magmas = C i D M M + α χ C H 2 O slab flux − 1 C i slab flux − C i D M M D ¯ i lherzolite / arc magma + χ 1 − P ¯ i lherzolite / arc magma (3).
The latter is however a specific characteristic for the Svalbard landscape, as well as the large amount of cornice fall triggered slab avalanches that are not included in this study.
The α χ C H 2 O slab flux − 1 term takes into account that 1) the degree of melting x depends on the amount of H2O added by the slab flux, and 2) the slab fluid composition is not pure H2O.
Test results also showed a significant reduction in width, and total area of plastic shrinkage cracks of slabs reinforced with an increased amount of RP fibers compared to control slabs without fibers.
The parameters investigated include those related to the steel tubular column (diameter, shape), the shearhead arms (cross-section dimensions, length, end angle and position in the slab) and the slab (thickness and amount of reinforcement).
For every model we compute the amount of water still bound in the slab in a column perpendicular to the slab surface where the depth of the slab surface is about 250 km, and we compare it to the one of a column at z∼50 km where slab dehydration has not started yet.
Parameters varied were slab depth, amount of reinforcement, and location of reinforcement.
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