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New Materials for the Rehabilitation of Cultural Heritage - Czech ...

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<strong>New</strong> <strong>Materials</strong> <strong>for</strong> <strong>the</strong> <strong>Rehabilitation</strong> <strong>of</strong> <strong>Cultural</strong> <strong>Heritage</strong> 17<br />

(a) (b)<br />

Figure 10 –Examples <strong>of</strong> application <strong>of</strong> CFRP strips: (a) building model tested at <strong>the</strong> ZAG<br />

laboratory, (b) masonry spandrel beam tested at <strong>the</strong> University <strong>of</strong> Trieste.<br />

As stated above, to design <strong>the</strong> streng<strong>the</strong>ning intervention it is necessary to evaluate through<br />

experimental tests, preferably in situ, <strong>the</strong> mechanical characteristics <strong>of</strong> streng<strong>the</strong>ned masonry<br />

and to use <strong>the</strong>se values in <strong>the</strong> structural analysis <strong>of</strong> <strong>the</strong> building. The debonding <strong>of</strong> <strong>the</strong> strip<br />

strongly depends on <strong>the</strong> surface <strong>of</strong> <strong>the</strong> wall; frequently considerable parts <strong>of</strong> <strong>the</strong> brick or stone<br />

are removed with <strong>the</strong> strip (rip-<strong>of</strong>f failure).<br />

Actually some rules and analytical relations are available in <strong>the</strong> Recommendations CNR-DT<br />

200/2004 [16]. The first important aspect to be considered is <strong>the</strong> resistance to debonding that<br />

depends on <strong>the</strong> tensile resistance <strong>of</strong> <strong>the</strong> masonry ftm, <strong>the</strong> specific fracture energy <strong>of</strong> <strong>the</strong> bond<br />

between FRP and masonry �F and <strong>the</strong> characteristics <strong>of</strong> <strong>the</strong> composite (Ef Young Modulus, tf<br />

thickness <strong>of</strong> <strong>the</strong> strip) through <strong>the</strong> relationship<br />

f<br />

fd<br />

�<br />

�<br />

f , d<br />

1 2 �E<br />

f<br />

�<br />

��<br />

t<br />

M<br />

f<br />

��<br />

F<br />

, (1)<br />

�f,d is a safety coefficient <strong>for</strong> bond (<strong>for</strong> masonry equal to 1.5) and �M is <strong>the</strong> safety factor <strong>for</strong><br />

masonry. The fracture energy is given by <strong>the</strong> equation<br />

� �0<br />

. 015 � f �f<br />

, (2)<br />

F<br />

mk<br />

tm<br />

with fmk compressive resistance <strong>of</strong> <strong>the</strong> masonry.<br />

The optimal anchorage length is <strong>the</strong> minimum length needed to transfer <strong>the</strong> most bonding<br />

stress and is equal to<br />

l<br />

e<br />

E f �t<br />

f<br />

�<br />

2 �f<br />

tm<br />

. (3)<br />

If <strong>the</strong> anchorage length is less than that calculated with Eq. (3), <strong>the</strong> resistance to debonding is

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