A. Frank Woeste, P.E.,
a professor of wood construction engineering at Virginia Tech,
responds: It is true that the allowable Fb value decreases
as the depth increases. This phenomenon has been proven by
extensive testing. The current span tables — not only for
Southern Pine, but for all lumber species — reflect that
testing.
As to "why" this is so, there is no conclusive answer, but
several theories have been offered over the past three decades.
My own theory is based on probability — the probability
that, under ASTM test protocols, more knots and other
imperfections are likely to occur in wider pieces of
lumber.
In the ASTM test for determining allowable Fb, a wood joist
is subjected to stress until it breaks. The test standard
requires a span-to-joist ratio of 17. For a 2x6, the test joist
is 93.5 inches long (5.5 in. x 17), while a sample 2x12 would
be 191.25 inches long (11.25 in. x 17). In the test, only the
center third of the span is subjected to the full stress level.
For a 2x6, this would be 31.2 inches long; for a 2x12, the
middle third is 63.75 inches long.
Knots and other natural characteristics control the strength
of lumber; for each grade, there is a maximum allowable knot
size. If you look at a piece of pine lumber, you’ll
notice that the knots are usually clustered a couple of feet
apart. Based on some typical frequency of knots along the
length of the lumber, it’s likely that there will be more
knots in a 63.75-inch section than in a 31.2-inch section, and
more likely that the maximum allowable knot will occur in the
longer section. So in the test, a 2x12 is more likely to fail
at a relatively lower stress level than a 2x6.
Regarding the effect of preservative pressure treating on
design properties, according to the 1997 National Design
Specification for Wood Construction, the strength values
for dead, live, snow, and wind loads are not affected except
that most CCA-treated lumber is not re-dried after treatment.
After treatment, the lumber typically has a moisture content
greater than 19%, so various reductions in strength and
connection values (for nails, bolts, and truss plates) may
apply.
Design Values for No. 2 Southern Pine
|
| Size |
Fb Single
|
Repetitive
|
Fv
|
E
|
|
2x4
|
1,500
|
1,720
|
90
|
1,600,000
|
|
2x6
|
1,250
|
1,440
|
90
|
1,600,000
|
|
2x8
|
1,200
|
1,380
|
90
|
1,600,000
|
|
2x10
|
1,050
|
1,210
|
90
|
1,600,000
|
|
2x12
|
975
|
1,120
|
90
|
1,600,000
|