I am going to put in a pull down attic ladder. I have put it in our hallway and to do this I need to cut through 2 Joists. Below is the diagram I worked up (not an draftsman so forgive me for the crude layout). Does anyone see any problem with the design? is it over/under built? also sorry if I misspelled anything
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I'm not really sure if I need that many joist hangers. Could I just nail into the support joists from the outside?
any help would be very appreciated. Thank you!

I'm not really sure if I need that many joist hangers. Could I just nail into the support joists from the outside?
any help would be very appreciated. Thank you!