What are the required documents that would show that this equipment is safe to operate on the slab?
Well, first you should do an on-site investigation of the slab to verify that its current condition is not diminished in any way by cracking, rust, spalling, or other deterioration.
If the slab is damaged or deteriorated, then your SAFE analysis isn't valid unless you adjust the capacity to reflect the loss of competence.
Second, you would then need to perform a structural analysis and design check of the slab - as it is currently reinforced and configured - to see whether it can support your equipment.
It appears that you have done an analysis and design check using SAFE and it appears OK.
As jayrod12 suggests, there is also the issue of impact loading and demolition sequencing - how does the slab move across the slab.
Is the slab the thing to be demolished or something else? Is the slab simply the floor on which the equipment is supported while it demolishes something else?
Does the demolition material come falling down on the slab (impact)?
As far as required documents go - typically I would write a report outlining the following:
1. OBSERVATIONS - what is the current condition. What source documents did you use to allow verification of load capacity (reinforcing, concrete strength, etc.). What are the features and data on the demolition equipment. How is the equipment located on the slab. What forces are anticipated on the slab.
2. ANALYSIS - Describe your analysis and design checks. Include all your assumptions (very important). Use tables, diagrams or images to help communicate your results.
3. CONCLUSIONS - From the above, list what conclusions to you come to with regard to use of the proposed equipment on the slab. This is the meat of your report and what your client is ultimately asking for from you.
4. LIMITATIONS AND RECOMMENDATIONS - You made assumptions to derive whether this equipment can be used on the slab - you need to include these in your report and specify to your client (who may not be an engineer) in clear and plain language what they need to do to ensure the equipment use remains safe. This might include a list of "do's" and "don'ts" such as "do not allow the equipment to operate closer than X distance from the center 1/4 of the slab area" or "Demolition contractor shall ensure that material is not piled up on the slab higher than X". This is where you try to think through all the possible bad things that could go wrong and list them out - this list will cover you somewhat in case something goes bad. If any temporary shoring or bracing is required then you should include it here.
If the demolition requires a specific sequence or series of phases, then a series of drawings or diagrams may be required.
If the demo contractor needs to have temporary items designed then you can either do them yourself (if a party to the contractor) or delegate the design to the contractor with you there to review the resulting engineering designs.
