I am planning on building a bookshelf as shown below. Each shelf (maple plywood) will only be supported via a dado cut into the 2x4 (SPF pine), and glued. I am currently planning on cutting 3/4" deep dados.

How do I go about figuring out how much weight each shelf can support? I am hoping to use it as an home entertainment unit, so it needs to hold up to 30 lbs per shelf for consoles and audit receivers.

I tried the [Sagulator](https://www.woodbin.com/calcs/sagulator/), but it apparently is for shelves supported on both ends.

Also, what are some better ways then dado + glue? I am thinking one or all of the following:

1. Screws from the back of the spine into the back side of the shelfs
2. adding L brackets underneath each shelf (I am hoping not to do this for aesthetic reasons)

Would these measures be overkill?

[![Spine Bookshelf Sketch](https://i.stack.imgur.com/nVphA.png)](https://i.stack.imgur.com/nVphA.png)

Edit:
On a separate note, does anyone has any ideas how can I mount this to the wall as clean as possible? I mean clean as showing little hardware, and flush to the wall. I was thinking doing French cleat cutout on the spine, but I don't know if I can given I only have a circular saw.