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Re: Ridge beam/joist analysis

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Suggest ignore any existing jumps to conclusions and begin anew with free-body diagram of one typical pitched rafter, in pitched position. Apply tributary gravity loads to same. Discover reactions thereby. Repeat for wind load, and again for "whatever" loads, if any. Combine concurrently-acting loads and FBD results as appropriate. External reactions will lead you back to internal stresses via usual principles of mechanics, and will give you loads onto supporting elements.
C. O. Greenlaw SE  Sacramento Cal