Calculate Column Face Dimension for Tapered Wood Column

The following is for calculating the representative face dimension, d, for a tapered wood column, square or round.

Maximum dimension of that face of the tapered column (dmax)

Minimum dimension of that face of the tapered column (dmin)

Result

Representative column face dimension, d(a=0.70)

Representative column face dimension, d(a=0.30)

Representative column face dimension, d(a=0.50)

Representative column face dimension, d

dmax - Maximum dimension of that face of the tapered column
dmin - Minimum dimension of that face of the tapered column
d - Representative column face dimension
d(a=) - Representative column face dimension
(a=0.70) - large end fixed, small end unsupported or simply supported.
(a=0.30) - small end fixed, large end unsupported or simply supported.
(a=0.50) - both ends simply supported and tapered toward one end.
(a=0.70) - both ends simply supported and tapered toward both ends.