Hi Max - Be careful using traditional steel reinforcement. I would not use steel in it at all... If it is connected to the frame in such a way that it is in the loadpath then you defeat the purpose of the "damp" slab. Thats because loads take the path of least resistance which in structures is the stiffest path. So the load will preferentially travel down the steel. If your going to use grout for machine builds use a steel fibre reinforcement or a glass fibre reinforcement that creates a more homogenous mass with no direct load paths (except thru the mass). Counter tops use glass fibre for instance and is readily available. Sika have both as well... Peter
reo in structural slabs is used for different reasons to in machine parts. Its the tensile strength and crack bridging component. Machine parts do not need high strength and grout should not crack. But using a glass fibre is a good solution to improve strength and stiffness.
Since its a table top and mass maybe an issue consider adding pearlite to lighten it. Plus I expect this will improve its dampening properties... A thicker but lighter slab will be stiffer. Geometry wins.
Overview of Perlite Concrete - Perlite Institute
or look up aircrete and foam it a little.... or make the entire table from a chunk of aircrete!