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Building Design and Construction Handbook - Merritt - Ventech!

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WOOD CONSTRUCTION 10.29<br />

There is an exception, however, applicable when holes or other reductions in area<br />

are present in the critical part of the column length most susceptible to buckling;<br />

for instance, in the portion between supports that is not laterally braced. In that<br />

case, ƒ c should be based on the net section <strong>and</strong> should not exceed F c, the design<br />

value for compression parallel to grain, multiplied by applicable adjustment factors,<br />

except C P; that is,<br />

ƒ � P/A � F (10.24)<br />

c n c<br />

where A n � net cross-sectional area.<br />

The stability factor represents the tendency of a column to buckle <strong>and</strong> is a<br />

function of the slenderness ratio. For a rectangular wood column, a modified slenderness<br />

ratio, L e/d, is used, where L e is the effective unbraced length of column,<br />

<strong>and</strong> d is the smallest dimension of the column cross section. The effective column<br />

length for a solid column should be determined in accordance with good engineering<br />

practice. The effective length L e may be taken as the actual column length<br />

multiplied by the appropriate buckling-length coefficient K e. For the solid column<br />

in Fig. 10.2a, the slenderness ratio should be taken as the larger of the ratios L e1/<br />

d 1 or L e2/ds 2, where each unbraced length is multiplied by the appropriate value of<br />

K e. For solid columns, L e/d should not exceed 50, except that during construction,<br />

L e/d may be as large as 75.<br />

The column stability factor C P is given by<br />

where F* c �<br />

� �<br />

2<br />

cE c cE c cE c<br />

P<br />

2c � 2c c<br />

1 � (F / F*) 1 � (F / F*) F /F*<br />

C � � � (10.25)<br />

design value for compression parallel to the grain multiplied by all<br />

applicable adjustment factors except C P<br />

F cE � K cEE�/(L e/d) 2<br />

E� � modulus of elasticity multiplied by adjustment factors<br />

K cE � 0.3 for visually graded lumber<br />

� 0.384 for machine evaluated lumber (MEL)<br />

� 0.418 for products with a coefficient of variation less than 0.11<br />

c � 0.80 for solid sawn lumber<br />

� 0.85 for round timber piles<br />

� 0.90 for glulam timber<br />

For a compression member braced in all directions throughout its length to prevent<br />

lateral displacement, C P � 1.0.<br />

10.8.2 Built-up Columns<br />

These often are fabricated by joining together individuals pieces of lumber with<br />

mechanical fasteners, such as nails, spikes, or bolts, to act as a single member (Fig.<br />

10.2d). Strength <strong>and</strong> stiffness properties of a built-up column are less than those of<br />

a solid column with the same dimensions, end conditions, <strong>and</strong> material (equivalent<br />

solid column). Strength <strong>and</strong> stiffness properties of a built-up column, however, are<br />

much greater than those of an unconnected assembly in which individual pieces act<br />

as independent columns. Built-up columns obtain their efficiency from the increase<br />

in the buckling resistance of the individual laminations provided by the fasteners.<br />

The more nearly the laminations of a built-up column deform together—that is, the

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