Properties of Wood
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Properties of Wood
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Cellular Makeup
• Cells areelongated,tube likecells
• Cell wallsare madeof cellulose
• Cells areboundtogether bylignin
http://concise.britannica.com/ebc/art-66141/Cross-section-of-a-tree-trunk
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Effect of Cell Structure
• Since the cells are elongated, the wood
has different strength properties when
stress is transverse or parallel to the cell
longitudinal axis.
• Shrinkage properties are also different in
each direction.
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Grain
• Grain
runs
along thetrunk.
• Grain size
is nonuniform
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Principle Directions
• “With the Grain” =
Longitudinal
• “Cross Grain” or
“Perpendicular to
Grain” = Radial or
Tangential
• Strength and
Shrinkage
Properties areDIFFERENT IN
EACH DIRECTION
http://concise.britannica.com/ebc/art-66141/Cross-section-of-a-tree-trunk
RadialTangential
Longitudinal
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Moisture Content & Shrinkage
MC = (moist wt – oven dry wt)/ (oven dry weight) x 100
• Living trees may have MC up to 200%.
• Lumber in service has MC less than 20%
• The loss of moisture results in wood shrinkage
– Shrinkage is most pronounced perpendicular to grain
• Moisture is found within the wood cell cavities(free water) and the cell walls (bound water)
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More Moisture
• Fiber Saturation Point (FSP):The MC where all the free water islost, leaving only the bound water.There is no shrinkage when theMC is above the FSP
• Volume changes take place as theMC varies below the FSP.
• Typically, MC continues todecrease after both manufacturingand installation.
• Equilibrium Moisture Content(EMC): The in service moisturecontent – This can vary with occupancy and/or
season
MC vs. Shrinkage
0
20
40
60
80
100
120
140
160
180
200
0 0.5 1
Shrinkage
M C
Manufacture
Installation
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Shrinkage Example
• 5 Story Condoin Juneau, AK
• It rained all but3 days during
the 4-5 weeksof framing.
• In the first yearafterconstruction
there wasconsiderableshrinkage
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Imperfections in Wood
http://www.vermonttimberworks.com/images/shake.jpg
Knots
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Members
Cut froma Log
• Perpendicularto graindirection maybe eithertangential,radial, or acombinationof each
http://web.utk.edu/~grissino/images/zuni%20doug-fir.jpg
Cross Grain
Cross Grain
Cross Grain
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Sawn Lumber Visual Grading
• Rules agencies establish grading rules
based on observed wood quality
• Inspector’s visually grade and mark each
piece as it is manufactured
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Pressure Treated Wood
• Wood is often chemicallytreated to increase it’sdurability – Minimizes decay and mold
– Discourages insect infestation – Fire treatments also available
• Moist, dark (or nearly dark)locations with minimal air
circulation are prime locationsfor decay and mold
• High moisture conditions thatare variable are alsoproblematic
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Standard Sizes for
Sawn Lumber • NDS Supplement Section 3, Table 1B
• Nominal Sizes are larger than the actual
sizes!
– Check out the sizes! Not all are readily
available
– Some available sizes:
• 2x2 to 2x12
• 4x4 to 4x12
• 6x6 to 6x12
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Sawn Lumber Size
Classifications• See text pg 4.30
• Structural Joists and Plank (SJ&P)
– 2 to 4 inches thick
– 2 inches and wider
• Beams & Stringers (B&S)
– 5 inches & thicker
– Width > thickness + 2 inches• Posts & Timbers (P&T)
– 5 inches & thicker
– Width <= thickness + 2 inches
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Glue Laminated Timbers
• Laminations can be
strategically used to
make efficient use of the
best materials.• Members can be
fabricated for particular
uses
• Larger, Longer, &
Curved sections are
possible
http://www.lamisellbeams.com/images/cover-image/lamisell-image03c-shadow04.jpg
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Glulams Designed as Beams
• Best material on outer faces
• Butt splice in compression zone
• Scarf splice in tension region
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Glulams Designed as Columns
• Materials more uniform
• Butt joints can be used throughout
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Glulam Standard Sizes
• See NDS Supplement
Table 1C
• Common Widths for
Western Species GL – 3.1/8”, 5.1/8”, 6.3/4”,
8.3/4”, 10.3/4”
• Common depths:
– 6” and larger, in 1.1/2”
incrementshttp://www.woodnet.org.uk/wec/images/gluelam2.jpg
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The National Design Specification
• The “model code” for timber design in the
US
• The NDS Specification tells us what we
can do with timber
• The NDS Supplement provides material
data for the various types of timber
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Basic Design Inequality
• As with all structural codes:Req’d Strength < Available Capacity
• In the NDS this takes the general form:
f < F’ or U < fN
– Where:
• f = stress caused by internal forces
• F’ = adjusted design stress = F * modifiers• F = Reference design stresses
• U = the LRFD factored internal force
• N = nominal capacity = F’ * (Section Property)
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Sawn Lumber
Reference Values• NDS Supplement Table 4A
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Sawn Lumber
Reference Values• NDS Supplement Table 4D
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Glulam Reference Values
• NDS Supplement Table 5A
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Glulam Reference Values
• NDS Supplement Table 5B
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Sawn Lumber Design Values
• NDS
Table
4.3.1
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Glulam Design Values
• NDS
Table
5.3.1
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The Modifiers
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CM: Wet Service Factor
• Applies to all reference values
• Applies to both Sawn Lumber and Glulams
• Specified in EACH NDS SupplementReference Value Table
• This factor generally reduces strengths for
wood that is used in a high moisture
environment (EMC > 19%)
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Ct: Temperature Factor
• Applies to all reference values
• Use for timber used in environments with
sustained temperatures up to 150 deg F
• NDS 4.3.4 for Sawn Lumber & NDS 5.3.4
for Glulams
– References NDS Table 2.2.3
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CL: Beam Stability Factor
• Applies only to bending stress, Fb
• Applies to both Sawn Lumber and Glulams
• Found in NDS 3.3.3
– This factor accounts for instability in laterallyunsupported beams (i.e. lateral torsional buckling)
• Glulams: This factor is
NOT simultaneously
applied with the VolumeFactor, CV
• More on this factor when
we cover beam design
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More CL
• See NDS Equation 3.3-6
• LTB is a function of both the laterally unbraced (buckling)
length AND the variation in the moment diagram.
• First check the slenderness ratio
– RB must not exceed 50
• Then compute CL
• Note that CL is a function of the beam size!
– This means that you must know the beam size before computing
this factor
– When designing, this may lead to iterative computations
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CF: Size Factor
• Applies to Sawn Lumber Fb, Ft, and Fc
bent about the strong axis
• Found in NDS 4.3.6
– 4.3.6.1: For SJ&P see NDS Supplement
Tables 4A and 4B
– 4.3.6.2: For B&S with d > 12”, CF =
(12/d)1/9
– 4.3.6.3: For beams of circular cross section
• The reference values are normalized toa 12” deep member. This factor
accounts for the difference.
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Cfu: Flat Use Factor
• Applies only to Fb for both Sawn Lumber and Glulams
when the member is bent about it’s minor axis.
• Found in NDS 4.3.7 and 5.3.7
• For Sawn Lumber, values for Cfu are found in the NDSSupplement Tables 4A, 4B, 4C, and 4F
• For Glulams, values for Cfu
are found in the NDS
Supplement Tables 5A,5B, 5C, and 5D
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Ci: Incising Factor
• Applies to all reference values for Sawn
Lumber.
• Found in NDS 4.3.8
• Accounts fordamage tomember due to
incisions madefor chemicalpressuretreatment.
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Cr : Repetitive Use Factor
• Applies to Sawn
Lumber Fb
• Found in NDS 4.3.9
• Read criteria in NDS
• Intended to account for
the community effort of
a repetitive series ofbending members such
as joists, rafters, studs,
etc.
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Cp: Column Stability Factor
• Applies to Fc for both Sawn Lumber
and Glulams
• Found in NDS 3.7 via 4.3.10 and
5.3.9• This factor accounts for column
stability as a function of slenderness.
• There will be more on this factor
when column design is discussed.
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CT: Buckling Stiffness Factor
• Applies to Emin for Sawn Lumber, which has an
impact on Cp
• Found in NDS 4.4.2 via 4.3.11
• Only applies to truss top chord members,subject to combined bending and axial
compression, and made of 2x4 or smaller
sections that meet certain criteria.
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Cb: Bearing Area Factor
• Applies to Fcp for bothSawn Lumber andGlulams
• Found in NDS 3.10.4 via4.3.12 and 5.3.10
• Accounts for increasedstrength of bearing
areas which are, in part,aided by adjacent wood.
• More on this one when
we cover beams.
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CD: Load Duration Factor
• ASD ONLY!!!!
• Applies to Fb, Ft, Fv, Fc for both Sawn Lumber
and Glulams. Also applies to Frt for Glulams.
• Found in NDS 2.3.2 via 4.3.2 and 5.3.2• The value of CD is based on the actual shortest
duration load in the load combination being
considered. This has the unfortunate affect of
making it very difficult to determine the
controlling load combination!
Ti Eff
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Time Effects on
Timber Strength• “Wood has the
property of
carrying
substantiallygreater maximum
loads for short
durations than for
long durations ofloading.” NDS
2.3.2.1
D t i i C t lli
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Determining Controlling
Load Case• Consider ASD tensile limit state:
Ta/A = f t < F’t = FtCDCMCt
for ALL LOAD COMBINATIONS
• CD is different for every considered ASCE 7 loadcombination
– This makes it tough to see which Ta to use.
– To determine the controlling load case divide both sides by CD
(Ta/CD)/A = f t / CD < F’t / CD = FtCMCt
– The load combination that gives the largest Ta/CD is the
controlling load combination
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Example
• Consider a
column
subjected
to theloads
shown
St t l El t ith
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Structural Elements with
Multiple Load Sources• Each source has a different make up
• Which ASD LC controls the design of the
member?
D, L
D, Lr , S, L
W, E
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- Determine CD for each source and each combination.- Pick the controlling CD for the combination and apply to
all loads in the combination.
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f: Resistance Factor
• LRFD Only!!!!!
• Applies to all reference values except for E
• Found in NDS Appendix N.3.2 via 4.3.15
and 5.3.13
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KF: Format Conversion Factor
• LRFD Only!!!!!
• Applies to all reference values except E
• Found in NDS Appendix N.3.1 via 4.3.14
and 5.3.12
• Need to know f to determine KF
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KF Table
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l: Time Effect Factor
• LRFD Only!!!!!
• Applies to all reference values except E and Emin.
• Found in NDS Appendix N.3.3 via 4.3.16 and 5.3.14
• This is the LRFD equivalent to CD. l accounts for timeeffects on strength.
• l is easier to apply than CD since it’s value is specified
by ASCE 7 LRFD load combination instead of by actual
shortest duration load
• Still need to divide load by l to find controlling cases
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The l Table
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Example
• Consider
a column
with the
loadsshown
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Comp ting Adj sted Val es
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Computing Adjusted Values
for a Member • Once the modifiers have been determined,
then you can compute the modified
stresses for a member.
• Member design often requires more than
one strength limit state, so you will have to
compute adjusted values for several types
of stress.
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LRFD Sawn Lumber Example
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ASD Sawn Lumber Example