In general terms, joists spaced 16 inches on center can span 1.5 times in feet their depth in inches.
Deck Joist 2X6 Span Chart. 2x6 span chart how far can a deck joist span fine homebuilding. Framing span tables for decks, porches, other common building floor structures.
How Far Can You Span A 2x6 Floor Joist | TcWorks.Org from simplebooklet.com
For sloping rafters the span is measured along the horizontal projection. Ceiling joist spans for southern yellow pine, douglas fir, and eastern spruce. The deck joist span chart below is based on the updated codes from the international residential code (2015), which for the first time, specifically addressed these deck design considerations.
You need to upgrade your joists and possibly the single remaining beam to eliminate the intermediate beam.
The commentary provides further information on span measurements including a chart which converts. If you will run decking at an angle, you might need to put the joists closer together. Dead load (weight of structure and fixed loads) 10 lbs/ft2. Pine 11' 7 in length.
