Do the yield mode equations still apply if one of the members being connected is a material other than wood?

Yes, the equations are structured that they will allow capacities to be calculated for any material being connected to wood, so long as the bearing design properties for the material are known. See 2015 NDS Chapter 11.2.3 and 11.2.4 and Technical Report 12 (http://awc.org/codes-standards/publications/tr12)

The following FAQ is based on the presentation of DES330 – Design of Connections for Wood Members using the NDS and TR12.

Do the yield mode equations still apply if one of the members being connected is a material other than wood?
Which member is the main member in a double-shear connection?
Which member is the main member in a single-shear connection?
Where can I find AWC’s Connection Calculator?
Does Technical Report 12 - General Dowel Equations for Calculating Lateral Connection Values assume the connector does not deform in the gap?
Where can I find information about corrosion of fasteners?
Where can I find information for designing timber rivet connections?
Where can I find design information for staples and/or pneumatic nails?
Where can I find information about designing anchor bolts per ACI 318 Appendix D and the NDS?
Where can I find information on wood dowel (wood peg) design values?