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Proceedings e report - Firenze University Press

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WOOD SCIENCE FOR CONSERVATION OF CULTURAL HERITAGE<br />

The ultimate strength and the global stiffness of the joint are insensitive to the variation of the<br />

compressive strength of wood in the parallel direction. Fig. 5b indicates higher sensitivity of the<br />

ultimate strength of the joint to the variation of the compressive strength of wood in direction<br />

perpendicular to the grain, as expected: with a reduction of 50%, the ultimate strength of the joint,<br />

given by an offset of the linear stretch by 2‰, decreases from 130 kN to 100 kN (-30%); multiplying<br />

by a factor of 2 the ultimate strength of the joint, given by an offset of the linear stretch by 2‰,<br />

increases from 130 kN to 160 kN (+23%). However, the global stiffness of the joint is insensitive to<br />

the variation of the compressive strength perpendicular to the grain.<br />

6. Conclusions<br />

From the results obtained in the first part of the study no significant different was found between the<br />

mechanical characteristics of the old wood and new wood, although the former shown a slightly higher<br />

values (7-12%) is could be easily allocated to the natural variability of wood.<br />

Comparing the characteristic tensile strength and modulus of elasticity values with the characteristic<br />

compressive results one can conclude that the characteristic strength values are slightly higher in<br />

tension parallel to the grain than in compression parallel to the grain (≈ 32%). The elastic modulus of<br />

elasticity results are also slightly higher in tension parallel to the grain than in compression parallel to<br />

the grain (≈ 25%).<br />

The second part of the study shows that the difference in mortise-tenon joints results for the ultimate<br />

load between the two groups is very low, which is in agreement with the values of density found for<br />

the sample. Thus, the results seems to support, although more studies should be conducted on timber<br />

removed from members in-service, that safety assessment of existing timber structures can be made<br />

using mechanical and physical properties data from current available chestnut wood.<br />

Regarding the third part, the different failure mechanisms observed in the experiments are well<br />

captured by the numerical model, which is the most important validation of any simulation. It is<br />

striking that such excellent agreement is obtained also in the load-displacement diagrams.<br />

A preliminary analysis considering an infinite stiffness of the interface, assuming a fully rigid<br />

connection, indicates that such an assumption provides too stiff results. Another conclusion is that the<br />

normal stiffness of the interface elements has considerable influence in the yield strength of timber<br />

joints. The numerical results, in terms of force-displacement diagrams, with the adjusted stiffness for<br />

the interface elements, provide very good agreement with the experimental results both in the linear<br />

and nonlinear parts. The influence of the experimental horizontal restraint, simulated by a linear<br />

spring, is only marginal.<br />

It has been shown that the parameters that affect most the ultimate load are the compressive strength<br />

of wood perpendicular to the joint and the normal stiffness of the interface elements representing the<br />

contact between rafter and brace. The tangential stiffness of interfaces and the Young’s moduli of<br />

wood have only very limited influence in the response. The compressive strength of wood parallel to<br />

the grain has almost no influence in the response.<br />

References<br />

1. CEN; 1991 – “EN 26891 – Timber structures. Joints Made With Mechanical Fasteners General<br />

principles for the determination of strength and deformation characteristics”. Office for Official<br />

Publications of the European Communities. Brussels, Belgium.<br />

2. Lourenço, P.; 1996 – Computational strategies for masonry structures. PhD thesis, Delft<br />

<strong>University</strong> of Technology.<br />

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