If you are looking to reinforce the concrete's tensile strength, you will want a larger steel reinforcing mesh to carry that load. For example, if you are making a rebar (steel reinforcing bar), which is typically used to strengthen concrete compression, you would use #4 or #5 steel wire mesh.
If your application doesn't need any tensileIf your application doesn't need any tensile strength in the concrete (i.e., it's simply an overlay) and all of your tensile strength needs come from whatever support system you choose underneath. In that case, a smaller gauge wire mesh is popular. This will make installation easier and cheaper as well as be less cumbersome.
The most common size of mesh reinforcement for this application is #14 or #16, but if you are welding the mesh sheet together to create a "mesh blanket", then you could use anything up to about #20 gauge wire. Larger wire gauges are harder to bend and manipulate, so it's typically not cost-effective to use larger reinforcing mesh in residential projects outside of welding them into place. These are ideal for larger projects.
The most important thing to remember about mesh size is that it should not be smaller than the diameter of your rebar or bar steel.
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