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Hello. How are you doing? I'll be happy to assist you.
So this is the ridge beam?
You want an LVL or glulam?
Great. I will size the beam for a deflection limit of L/480
You need a 7" x 24" 2.0E LVL
W14x53 ASTM A992 Gr. 50. It's 14" deep x 8" wide and weighs 53 pounds per foot.
No problem. I'm happy to help. Good luck with your project.