Size and Volume Factors

For visually graded dimension lumber, design values Fb, Ft, and Fc for all species and species combinations, except southern pine, should be multiplied by the appropriate size factor Cf, given in reference data to account for the effects of member size. This factor and the factors used to develop size-specific values for southern pine are based on the adjustment equation given in American Society for Testing and Materials (ASTM) D1990. This equation, based on in- grade test data, accounts for differences in Fb, Ft, and Fc related to width and in Fb, Ft, related to length (test span). For visually graded timbers [5*5 in (127*127 mm) or larger], when the depth d of a stringer beam, post, or timber exceeds 12 in (304.8 mm), the design value for bending should be adjusted by the size factor

CF= (12 /d)1/9

Design values for bending Fb for glued-laminated beams should be adjusted for the effects of volume by multiplying by

Cv=KL[(1291.5/Ldb)]1/x

where
L =length of beam between inflection points, ft (m)

d= depth, in (mm), of beam

b= width, in (mm), of beam

width, in (mm), of widest piece in multiple-piece layups with various widths; thus, b ? 10.75 in
(273 mm)

x= 20 for southern pine and 10 for other species

KL =loading condition coefficient

For glulam beams, the smaller of Cv and the beam stability factor CL should be used, not both.

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