I would like to open up the dining/living room area in my 1 story ranch. I would like to install a 3.5" x 12" laminated beam spanning 20'(BEAM #1). BEAM #1 supports the roof trusses at 24" on center. This beam will be supported at one end by the wall and at the other end will tie perpendicularly into BEAM #2. BEAM #2 is 3.5" on center. This beam will be supported at one end by the wall and at the other end will tie perpendicularly into BEAM #2. BEAM #2 is 3.5" spanning 20.5 '. Beam #2 will be supported at both ends by the walls and is not load bearing and it's only purpose it to support BEAM #1. BEAM #1 ties into BEAM #2, 8' from one end of BEAM # 2. See attached diagram. The beams will be constructed out of 8 layers 2x4's glued and screwed together. My question is: Is BEAM #2 sized adequately to support BEAM #1?