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NONDESTRUCTIVE TEST FOR STRUCTURAL REHABILITATION. THE CASES OF DEVIL'S AND S. DONATO'S MASONRY BRIDGES IN VENICES. Russo1,G. Boscato1, andL. Massaria11 IUAV University of Study, Venice, ItalyAbstract:As much known the use of nondestructive test as a methodology to better understand the technical choices more opportune in the field of structural reinforcement and restoration, represents by now a good way for monument and historical manufactured.This research shows the first results on non destructive tests carried out on two masonry bridges in venetian islands Torcello and Murano, named respectively Devil's bridge and realised approximately in XII century, and S. Donato bridge's, in the XVII century. For both bridges nondestructive test (NDT) connected to destructive test (DT) to evaluate the compressivestrength of the brick and the homogeneity/compactness of the masonry has been realised.Introduction:The aim of this research regards the evaluation of mechanical characteristics of masonry (brick and mortar) and its homogeneity in the cases of two historical masonry bridge situated in venetian islands Torcello and Murano.For both type of structures named respectively Devil's (in Torcello) and S. Donato's (in Murano) bridge this study shows the first results on non destructive test carried out to evaluate the structural behaviour. In both case we have the arch static scheme, the test has been ordered from venetian municipality in view of the structural restoration with appropriate reinforcement or employment of the new material with the same mechanical characteristics.For NDT the penetrometer to measure the energy released per each hole in the masonry and the Fourier analysis setup were employed; the first instrument gives results on mechanical performance of mortar and brick (also with DT to deduce the curve of calibration between DT and NDT results); with Fourier setup (sonic test type) the information on the homogeneity of the masonry and on the possible presence of empty inside were expected.Also the endoscopy has been utilised in critical cross sections of masonry vaults, to understand the effective stratigraphy of structure.For a structural view point, the study also give prominence to the interaction between the geometry of the structure and the mechanical characteristics of masonry, especially in the casewhich the structure is very old andthe materials (masonry and brick) show low values of mechanical performance.The type of test employed - sonic test - is by now one of more reliable choice to understand in situ the effective performance of structure without destructive test, (1), (2), especially in presence of historical monument/structure, (3), (4), this not only for global performance of masonry but also for the mechanical characteristics of the materials, (5), (6). Besides many works already available in literature give some information of this non destructive procedure, (7), (8).For each bridge the research shows also the crack pattern, the presence of local damage and the general situation for static view point, with the evaluation of effective stiffness degree of boundary condition. The research shows the first results with Fourier analysis device sonic test. Figure 1, 2 shows the dimensions, geometry, material and one view for S. Donato Bridge; figure 3, 4 shows the same thing for Devil bridge. Figure 5 and 6 illustrate for both bridges the crack pattern with presence of local damage.2512 2371 3 9 1632 3 8 A 418 B A B 9 7 1 4 1 3 4 0 5 4 1 1 4 8 9 5 7 5 9 6 9 9 2 7 420 0 3 9 4 1 2472 2503 Plan LEGEND 458 1032 1019 2510 1550 Trachyte 06 1014 Istria stone 36 UNIT OF MEASURE = cm. 3 6 Brick Campo San Donato 1635 93 1 0 7 1570 Fondamenta A. Maschio 56 56 410 41 86 38 40 42 Prospect1 207 1 4 6 4 79 54 10 80 63 14 3 8 9 0 494 34 491 1240 1034 Fondamenta A. Maschio 234 Section A-A 510 781 791 Section B-B Figure 1 - plan, sections, prospect 1Figure 2 - view SOUTH1234 364 453 LEGEND Brick herring-bone pattern Grass 417 B B A296 29 29 29 5 1 3 4 6 6 Brick 4 6 5 28 8 289 29 private street 29 5 1 A900 Istria stone 1242 940 1Unit of measure = cm. Plan 459 361 1183363 52 2 2 5 5 2 4 Prospect 1 49 290 46 601 149 146 141 52 5238 5 31 2 1 30 1 25 0 240 284 464 Section A-A Section B-B Figure 3 - plan, sections, prospect 1Figure 4 - view WESTFigure 5 - Detail of local damage of Devil bridgeFigure 6 - Detail of local damage of S. Donato bridge
Results:The Fourier analysis device gives many information on velocity of sonic wave induced by hammer and measured through the masonry by accelerometer. In this way by Fourier's series and fast Fourier transform algoritm the is also possible to determine the frequency and thus the energy dissipated, see respectively equation (1) and (2), (3).F(t) = a0+Σ(n=1 to inf.)[ancosnωt+ bnsinnωt] (1)with,F(t) = periodic functionω = 2π/T = frequencyT= period of function a0,an,bn= Fourier coefficientsand for fast Fourier transform we haveA(k) =Σ(n=0 to N-1)D(n) e-j2πnk/N(2)with the associated inverse equal toD(n) =Σ(k=0 to N-1)A(k) e+j2πnk/N(3)with, n,k = dimensionless indices, 'n' refers to time increments, 'k' to frequency incrementsIn the case of Devil's bridge the dynamic identification is very interesting because there is not the parapets (see Figure 4) and consequently the evaluation of static and homogeneity of the masonry vault deck is not influenced by the presence of the other structural elements.Figures 7 and 8 show respectively the distance-velocity and the energy dissipated-velocity diagrams for Devil's bridge. Tables 1 and 2 show in both axis x-y the velocity of sonic wave and the percentage of energy released.Distance (cm) Table 1- Devil's Bridge. Sonic test on the total longitudinal axis (y)Point Transversal dimensionof bridge (cm) Time to wave sonic transit (µs) Velocity (m/sec) Energy retained (%) |
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