A hydraulic binder includes, as percentage by mass: from 17 to 55% of a Portland cement, the particles of which have a D50 of from 2 μm to 11 μm; at least 5% of silica fume; from 36 to 70% of a mineral addition A1, the particles of which have a D50 of from 15 to 150 μm; the sum of these percentages being from 80 to 100%; the sum of the percentages of cement and of silica fume being greater than 28%; the mineral addition A1 being selected from slags, pozzolanic additions or siliceous additions such as quartz, silico-calcareous mineral additions, calcareous additions such as calcium carbonate or mixtures thereof.