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That image is not my own, sorry for the confusion. It does have problems. I will definitely use joist hangers. The double beam will be unified and notched into and bearing on what will be 2x6 posts.

A quick follow up question here... Does anyone have any book recommendations for beginners to learn more about wood frame engineering principles? I noticed that "Design of Wood Structures" by Donald Breyers was mentioned in one of the links.

Thank you for the explanation and the links which were also very helpful. It's sobering to learn that my intuition was very, very wrong.

Hello, I'm a curious builder hoping to understand the load profile of a mono-pitched roof addition (something like the image below). My primary concern is correctly sizing the horizontal beam which supports the rafters (high snow loads here), but I don't know how to calculate the distribution of...