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CIB-W18 Timber Structures – A review of meeting 1-43 2 MATERIAL ...

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2.7 LOAD DURATION<br />

6-9-3 T Feldborg, M Johansen<br />

Deflection <strong>of</strong> trussed rafters under alternating loading during a year<br />

See 3.19 Trussed rafters<br />

19-1-1 R O Foschi, Z C Yao<br />

Duration <strong>of</strong> load effects and reliability based design (single member)<br />

Introduction<br />

The introduction <strong>of</strong> reliability-based design in wood structures requires<br />

consideration <strong>of</strong> the effects that load duration has on degradation <strong>of</strong><br />

strength over time. Normally, when no duration <strong>of</strong> load effects are present<br />

(as in the case <strong>of</strong> steel structures), the estimation <strong>of</strong> reliability over the service<br />

life requires only probabilistic information on the material's shortterm<br />

strength and on the maximum load which the structure would receive<br />

over the life period considered.<br />

When strength degradation is present, the reliability estimation is complicated<br />

by the fact that load history must be taken into account, considering<br />

not only load magnitudes but also the duration <strong>of</strong> each load period. Of<br />

course, central to the solution <strong>of</strong> the problem is the availability <strong>of</strong> degradation<br />

or "duration <strong>of</strong> load" model which would allow the estimation <strong>of</strong> the<br />

degradation effect for any load sequence. The authors, in a separate paper,<br />

discuss different duration <strong>of</strong> load models, their relative advantages and<br />

shortcomings, and their ability to represent experimental trends for constant<br />

loads (Paper 19-9-1).<br />

A second consideration in reliability estimation is the procedure chosen<br />

for the calculations. Simulation is a straightforward procedure which can<br />

account for the variability in the material as well as the possible loading<br />

sequences. This procedure, however, is normally tedious and expensive.<br />

Calculation <strong>of</strong> reliability indices based on algorithms like Rackwitz-<br />

Fiessler's should be preferred as they are much faster and, in general,<br />

equally accurate. However, application <strong>of</strong> such algorithm presents special<br />

problems in the case <strong>of</strong> interaction between strength and load sequence.<br />

Finally, reliability calculations for wood structures must take into account<br />

the behaviour <strong>of</strong> the structural system rather than only that <strong>of</strong> a sin-<br />

gle member. In fact, the usually high variability in single member properties<br />

is compensated by the action <strong>of</strong> a redundant system, and consideration<br />

<strong>of</strong> such action is the only way in which a realistic reliability assessment<br />

can be made for structural applications <strong>of</strong> wood.<br />

An example <strong>of</strong> reliability estimations for timber systems has been presented<br />

by Foschi. Nevertheless, many codes are based on "single member"<br />

design, with "load sharing" factors applied to take into account the added<br />

reliability <strong>of</strong> a system. In this context, reliability <strong>of</strong> single members is a<br />

first step in the consideration <strong>of</strong> the more general problem.<br />

The objective <strong>of</strong> this paper is the discussion <strong>of</strong> single member reliability<br />

in bending, using the Canadian damage accumulation model, and the<br />

development <strong>of</strong> techniques based on the Rackwitz-Fiessler algorithm for<br />

the reliability index.<br />

19-6-1 J Kuipers<br />

Effect <strong>of</strong> age and/or load on timber strength<br />

Introduction<br />

During many years much attention has been paid at many places in the<br />

world on the effects <strong>of</strong> long-duration-loading on timber. Most <strong>of</strong> the investigations<br />

on the subject dealt with the measurement <strong>of</strong> time-to-failure <strong>of</strong><br />

test specimens under constant loads <strong>of</strong> relatively high levels. Such investigations<br />

suggested that a long-duration-strength <strong>of</strong> about 55 % <strong>of</strong> the<br />

short-duration-strength should be used to determine safe working stresses.<br />

Such working stresses for permanent loading on structures, built for an intended<br />

lifetime <strong>of</strong> 50 to 100 years turn out to be on a level <strong>of</strong>, very roughly,<br />

25 % (to 35 % for joints) <strong>of</strong> the short-duration-strength values. The<br />

question arises if such low load levels do have a comparable damaging effect<br />

on the initial strength or that they, being so low, do not have any<br />

strength decreasing effects at all.<br />

J Vermeyden comes to the conclusion that not much research had been<br />

carried out to study the effect <strong>of</strong> long-duration <strong>of</strong> loading on the remaining<br />

strength <strong>of</strong> timber structural elements. The available information deals<br />

with the effect <strong>of</strong> repeated loading and <strong>of</strong> relative short duration <strong>of</strong> constant<br />

loads, sometimes to high load levels, but not with the effect <strong>of</strong> longduration-loading<br />

to about the allowable levels. Nevertheless Vermeyden<br />

comes to the expectation that such preloading very probably will not have<br />

a significant strength reducing effect.<br />

<strong>CIB</strong>-<strong>W18</strong> <strong>Timber</strong> <strong>Structures</strong> <strong>–</strong> A <strong>review</strong> <strong>of</strong> <strong>meeting</strong> 1-<strong>43</strong> 2 <strong>MATERIAL</strong> PROPERTIES page 2.57

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