Hi Sabene,
If you look at the end of the shelf, are you proposing to attached the angle aluminum angle horizontally along the wall, and then attach the shelf to the other side of the angle?
If that is the case, without further support, the wall will fail, assuming it is a typical plaster wall.
Here is a simple scenario.
Shelf + plants = 44lbs
Shelf depth = 24in. (for calculation purposes, assume the weight is centered 12in. from the wall. Of course half will be closer and half further away, so we can average the distance.)
Attachment to wall is on the centerline of the angle, or 1/4in. from the edge.
With the shelf loaded there will be 1ft x 44lbs, or 44ft-lbs, trying to rotate the angle toward the floor; this is called the 'Torque', or twisting force.
The angle attachment will be pulling on the screws, and pushing the lower edge of the angle into the wall.
Here is what creates the problem, instead of the 1ft distance to the shelf center, there is only 1/4in from the screws to the edge of the angle. That is 1/48 of the 1ft distance.
Since the torque is 44ft-lbs over 1/4in, the force on the wall will be
44 x 48 = 2112lbs trying to push the lower edge of the angle into the wall, and trying to pull the screws out. (That's about 1 ton of force) (By the way, that is the same principle as pulling a nail with a claw hammer or crowbar, the nail close to the pivot point and a long handle to pull on.)
For a 4ft long (48in) shelf that is 528 lbs per foot, or 44lbs per inch trying to push the lower edge of the angle into the wall. If it is on a plaster wall, the plaster will crumble to powder. You might get away with it on a concrete wall if the aluminum angle is strong enough, which I doubt.
Try this search to get some more practical approaches:
https://www.google.com/search?&q=shelf+supports+wood+site:homedepot.com
The general approach is to decrease that factor of 48 by increasing that 1/4in mounting dimension of the aluminum angle.
The other way is to supply support to the shelf. This could be legs to the floor, hanging from ceiling joists, or braces at about a 45° angle to the wall studs either above or below the shelf.
If you put these new supports at 12in from the front and back edges, the shelf will be close to balanced so there will be little torque on the wall mountings. The drawback is the new supports will be supporting the full weight of the shelf.
Whatever approach you take, be sure you are attaching to the wood structure behind that plaster; plaster itself is very weak.
Hope this helps!
Cheers,
Tom
p.s. the forces go up about 35% if you set a gallon of water on the edge of the shelf.