Through unforeseen circumstances I had to change the design of my deck. I was going to build a freestanding deck but will now need to use a ledger attached to a solid concrete basement wall. I am in the process of designing it and have proofed calculations for everything except the wall itself. I took a stab at the calculations; does this seem right?

I will be using ½” hilti wedge anchors with a min embed depth of 2.75”. To figure out whether or not the concrete will hold up I calculated the following:

Concrete Strength: Assumed 1000 psi. I don’t have original plans so I erred on the side of caution here. Home was built in 1977. Any idea if a standard strength requirement was used then?
Bearing Surface: 2.15 Square Inches. Calculated by multiplying {[circumference (1.57”) x Embed Depth (2.75”)] divided/ by 2 (only half of total surface area will bear on concrete)} = 2.15 square inches.
Bearing Strength of Concrete holding Wedge Anchors: 2,150 Pounds 2.15 square inches x 1000psi = 2,150 Pounds

My calculated live and dead load for the ledger is 736LBS/Foot and I plan on using two anchors top and bottom spaced every 12”. So, every foot I will have 4,300lbs worth of concrete bearing strength which is much greater than the planned load of 736 LBS/Foot. Do those calculations add up for you experts out there?

If it matters, FYI; top of deck will be 2’-5” high, 11’x9’(ledger side), 2x12s 12” oc

I am still trying to figure out how to calculate lateral load, but that may be better suited for a difference topic/post so this one doesn’t get off track.

Thanks for the help.