The Roman concrete made with Tuff ( volcanic rock crushed finely ) would also set underwater, so good for piers etc. And was bloody tough and long lasting, a good example being the Pantheon in Rome
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Or the feet of roman bridges built across the Danube in Europe, still standing today.
Seasink, I am just about to have my shed slab poured, what should I ask/keep an eye on to avoid the problems/shortcuts you described above? It is going to be 20cm thick reinforced.
One possible cause I didn't see mentioned in relation to "concrete cancer" might have to do with the salinity of water here. When that starts creeping through concrete, I wouldn't be surprised if it killed the reinforcing steel. I am not sure slabs here have any waterproofing. Tar was used overseas some decades ago.