moisture content cannot be predicted, expected dimensional change can-
not be calculated with precision. The theoretical dimensional change for a
given piece of wood can be calculated using the following formula:
where: DD 5 dimensional change, in linear units; Di 5 initial dimension, in
linear units; MCi 5 initial moisture content, in percent; MCf 5 final mois-
ture content, in percent; FSP 5 fiber saturation point, in percent (if not
known for species, use 30%); and S 5 published value for shrinkage, in
percent (Sl, Sr,or St).
In calculating dimensional change for pieces of wood with inter-
mediate or variable growth-ring placement, a modified shrinkage percent-
age would have to be estimated by rough interpolation between the radial
and tangential values. It should be noted that because shrinkage takes
place only below the FSP, neither MCinor MCfcan be greater than the FSP.
Positive values of dimensional change indicate shrinkage; negative values
indicate swelling.
As an example, suppose a painting panel is assembled by the edge-
gluing offlat-sawn boards that have been identified as poplar (Populusspp.);
the finished panel measures 76 cm in width. The panel is placed in a build-
ing where records have shown a seasonal variation from a high of60% RH
in the summer to a low of 25% during the winter heating season. What
dimensional changes in width can be expected?
From the oscillating curve of Figure 7, one can assume EMC
extremes of a high moisture content (MCi) of 10.9%, a low moisture
content (MCf) of 5.4%, and an FSP of 30%. From Table 1, Stfor poplar is
given as 8.5%.
The estimated change in the width of the panel from its summer
to its winter condition is calculated as
The panel would be assumed capable of shrinking by approxi-
mately 1.25 cm. It is important to realize that this calculation would pre-
dict the behavior of normal wood free to move, whereas a painting panel
may be subject to restraint by its frame and cradling or mounting hard-
ware and by the applied layers of gesso and paint.
Careful evaluation of the formula presented above leads to some
important general conclusions. It is apparent that the overall dimensional
change, DD,is directly influenced by the magnitude of each of the three
factors Di, S,and DMC(i.e., MCi 2 MCf), which should be considered sepa-
DD 5
2 30% 1 10.9%
76 cm (10.9% 2 5.4%)
30%
8.5%
5
2 0.30 1 0.109
76 cm (0.109 2 0.054)
0.3 0
0.085
5 76 cm (0.055) 5 1.25cm
3.338
16 Hoadley