Modern mix of beamed structure and plain ceiling surface make fireplace area more cozy. Also living room area gets additional height by lines of beams.
To avoid much artificiality wooden beams are placed only in the one part of the Family room (see the Layout). The main beam placed in the middle of the ceiling ridge (real structural beams could be there), and supported by additional wooden column (placed behind the wall between stairs and kitchen area). This column makes completed and integral view.
All other side beams are started from the main beam and arranging by "No Concrete Measure Technique" (see the STEPs at the Layout). This technique uses when projecting area have some particular features (in this case we have unmeasured ceiling lights and other technical stuff) and there is no possibility to relate to it. When it will be done - your ceiling will look like real roof structure.