Joint Face Distance for Beams

The joint face distance at each end of a beam is given as:

JointFaceDist = 0.5 (\frac{ColumnDepth}{\cos (α + β)} \cos^{2} θ + ColumnWidth \times \sin^{2} θ)

where

θ	=	the angle between the beam and the major direction of the column that frames to it
α	=	the angle the beam's major axis makes with the horizontal as shown in figure above
β	=	the angle the column makes with the vertical as shown in figure above
ColumnDepth and ColumnWidth	=	the depth and width, respectively, of a column extending down from the story level from the end of the beam under consideration

When the plane of the beam’s web does not align with the plane of the column web, α and β are both measured in the plane defined by the major axes of the column and beam.

The column below is used to calculate the joint face distance. The joint face distance will be zero at the end of the beam if the beam or column is pinned in a given axis.