Thirty tons on a biped with roughly human proportions. As a Geotechnical Engineer, I can provide you with all of the actual, real life implications of him walking across a large number of terrains and pavements. Heck, if anyone really wants me to, I can even post up .pdfs of my MathCAD design sheets showing the LRFD (Load Resistance Factored Design) design calculations for bearing pressure, punching shear effects and on and so forth. Then I can even kick up the ASSHTO calculations for pavement deformation for extreme loading conditions. We run those here when we permit extreme load transport over the state's highway and interstate system. I also know enough structural engineering (though I do not wish to present myself as a structural engineer for purposes of professional ethics and licensure... and the displeasure of my wife who is a professional structural engineer) to lay out all the troubles he is going have in entering most buildings.
The problem is not the 30 tons. It is the pressure generated by that 30 tons. Very common mistake, actually. There is a reason that tanks have treads and the really big heavy load trucks have lots of wheels. They serve to spread the weight of the vehicle over a larger area and, therefore, reduce the over-all ground pressure they exert.
Take your giant. I don't have his measurements, but let us say that he is three times the size of a human with the same basic proportions. That would put him around 18-20 feet tall. And, we shall be generous and give him large feet; say 3 feet long and 1 foot wide. For the record, I'm 6 feet tall, have 10 inch long feet that are 3.75 inch wide. Rounded of course. And, yes, I keep a scale and ruler next to my computer. LOL
Keep it simple and assume a rectangular shape of the foot. That makes each foot 3 square feet. He has two of them, 6 sq.ft.
30tons / 6 sq.ft. = 5 tons/sq.ft. or 5 TSF. Static; that is standing still. That is a very hefty static load and one that most soils will deform under in dry conditions. Under wet conditions, even more so. For good clay soils here in Tennessee, I will often recommend an allowable soil bearing of around 2 TSF. Now, that is allowable, meaning that it has a reduction factor (or Factor of Safety under the old ASD design methodology). So, he would be okay standing on most soils. Leave some good foot prints though that a five year old blind kid could track. On good solid rock, he'll be fine. I wouldn't get to close to any cliff faces though as they you have to start worrying about confining lateral pressures and loads. And he will cause localized slope failures on anything steeper than a 5 to 1 slope most of the time.
Moving, things get more complicated. Impact loading. One one foot. Unless he slides around everywhere somehow.
Now we are looking at a starting value of 10 TSF. That blows most soils right out and will fracture many softer shales and weathered regolith. Now, standard ASSHTO impact loading is x1.2 (off the top of my head, my code is back at my office). So at a casual walk, call it 12 TSF. Running... call it around 20 TSF. That is problematic in a big way and will require a great deal of caution on his part to maintain his own stability in moving about. 20 TSF and you could start to fracture weaker limestone. You are not going to shatter it or cause punching shear failure; but you are cracking it as you move.
Most state DOTs have a maximum limit of weight on any one tire of a vehicle of around 10,000 lbs without special permitting. It gets a LOT more complicated as you start to factor in axle lengths and loading combinations; but we'll keep it simple here. For those that want to go all out:
http://www.dot.ca.gov/hq/traffops/trucks/trucksize/weight.htmHave fun.
But that 10,000 lbs on one tire is going to be around 10,000 lbs / 1 sq.ft. or 5 TSF. That is not a failure point for most high end pavements; but a limit based on deformation of flexible pavements (asphalt).
You'll be fine on commercial or air force pavements; though you will be causing damage unless you are careful.
Don't even bother going onto most structures. I'll ask my wife about highway bridges; as that is her specialty. But you would give a parking garage nightmares, crush an residential floors or foundations, decimate side walks and drive ways, and cause the local utilities company to have fits as you directly increase their budget for the year. Watch for culverts as well; bad. Climbing slopes is going to be challenging as the soils are likely to deform under your feet as you climb up. Think walking up sand dunes; but with normal soils. This is due to lacking that lateral capacity I mentioned above allowing for the soil to deform laterally more rapidly without compaction.
If anyone wants more, just ask.
OR, ignore it all and have fun with it. I love giant robot/mecha stuff.