How footing size is estimated
An isolated (pad) footing spreads a column's load over enough soil that the pressure stays within what the ground can safely carry. The required plan area is simply the total load divided by the safe bearing capacity (SBC) of the soil. This tool adds a ~10% allowance for the footing's own weight and backfill, then converts the area into a length and breadth (square by default), rounded up to a buildable size, and checks that the resulting soil pressure stays within the SBC.
Safe bearing capacity by soil
SBC is the safe pressure a soil can carry, and it varies enormously: soft clay may be only 75 kN/m², medium sand around 200, dense gravel 450, and rock 900 or more. These textbook values are indicative starting points only — the real SBC for your site comes from a soil test, and using a wrong (especially too-high) value is dangerous because the footing would be undersized.
Worked example
For a column carrying 500 kN on medium clay (SBC 150 kN/m²): with a 10% self-weight allowance the load is 550 kN, so the required area is 550 ÷ 150 = 3.67 m², giving a square footing of about 1.95 × 1.95 m. The actual pressure under that footing is about 145 kN/m², just within the 150 limit. For the concrete and steel in that footing once sized, use the column & footing material calculator.