Page 231 - Civil Engineering Formulas
P. 231

TIMBER ENGINEERING FORMULAS           165

               For shear, the adjusted design value F  is computed from
                                          V
                                                                  (6.21)
                                   F V    F V C D C M C t C H
             where F is the design value for shear and C is the shear stress factor  1—
                   V
                                              H
             pemitted for F parallel to the grain for sawn lumber members.
                       V
                                                                     is
               For compression perpendicular to the grain, the adjusted design value F c
             obtained from
                                                                  (6.22)
                                   F c       F c  C M C t C b
             where F c   is the design value for compression perpendicular to the grain and C b
             is the bearing area factor.
               For compression parallel to the grain, the adjusted design value F c    is given
             by
                                                                  (6.23)
                                  F c    F c C D C M C t C F C p

             where F is the design value for compression parallel to grain and C is the col-
                   c                                          p
             umn stability factor.
               For end grain in bearing parallel to the grain, the adjusted design value, F g    is
             computed from
                                                                  (6.24)
                                     F g    F g C D C t

             where F is the design value for end grain in bearing parallel to the grain.
                   g
               The adjusted design value for modulus of elasticity, E   is obtained from
                                   E   EC M C T C                 (6.25)

             where   E   design value for modulus of elasticity
                    C   buckling stiffness factor—applicable only to sawn-lumber truss
                     T
                        compression chords 2   4 in (50.8   101.6 mm) or smaller, when
                        subject to combined bending and axial compression and plywood
                               3
                        sheathing  in (9.5 mm) or more thick is nailed to the narrow face
                                  8
                  C      other appropriate adjustment factors

             Size and Volume Factors
             For visually graded dimension lumber, design values  F , F , and  F for all
                                                       b  t     c
             species and species combinations, except southern pine, should be multiplied
             by the appropriate size factor  C , given in reference data to account for the
                                     f
             effects of member size. This factor and the factors used to develop size-specific
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