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Concrete Footing Calculator

Concrete for a strip footing or trench, where the run is long and the section small — the shape in which a per-yard rounding error costs the most.

A footing is long and thin, which is why a rounding error hurts here more than under a slab: the same 10% miscalculation spread down a 40 ft trench is a barrow-load, and there is nowhere to put the excess once the forms are struck.

With trench length 40 ft, trench width 1.5 ft, depth 12 inch, waste allowance 10 percent and 1 more field, concrete comes to 2.44 cu yd — concrete needed. It is reached in 8 steps, the last of which is 66 / 27, and each one is printed on the page with its numbers filled in. The formula is the one published by American Concrete Institute, not an approximation fitted to it.

Formula and sources checked · How we check

gradelengthdepth
What to measure
Concrete needed
2.44 cu yd
Volume
60 cu ft
Volume with waste
60 * (1 + 10 / 100)66 cu ft
Concrete needed
66 / 272.444 cu yd
Cubic meters
2.4444444 * 0.76455491.869 m3
60 lb bags (0.45 cu ft each)
ceil(66 / 0.45)147 bags
80 lb bags (0.60 cu ft each)
ceil(66 / 0.6)110 bags
Weight of the pour
2.4444444 * 40509,900 lbs
Ready-mix cost at that price
2.4444444 * 145354.444

Several at once

A job is rarely one of anything. Work out the first, add it, change the figures and add the next — the list keeps what each line was, and totals them.

How deep does a footing have to go?

Below the local frost line, which the building department publishes and which runs from nothing on the Gulf coast to 48 in across the northern plains. The calculator uses whatever depth you enter and knows nothing about your county. A footing set above the frost line will heave whatever its volume says.

Why trenches take more than they measure

A trench is dug rather than formed, and a dug trench is wider at the top than the string line claims — more so in sand, less in clay. Measure the real width at three points along the run and use the largest, or add ten per cent and accept the overage. A footing short of concrete gets poured twice.

The formula

  1. Volumeshape_slab * (length * width * thickness / 12) + shape_circle * (pi * pow(diameter / 2, 2) * thickness / 12) + shape_footing * (footing_length * footing_width * depth / 12) + shape_column * (pi * pow(hole_diameter / 2, 2) * height) + shape_wall * (wall_length * wall_height * wall_thickness / 12) + shape_stairs * (stair_width * rise / 12 * run / 12 * steps_count * (steps_count + 1) / 2)
  2. Volume with wastecubic_ft * (1 + waste / 100)
  3. Concrete neededcubic_ft_waste / 27
  4. Cubic meterscubic_yards * 0.764554857984
  5. 60 lb bags (0.45 cu ft each)ceil(cubic_ft_waste / 0.45)
  6. 80 lb bags (0.60 cu ft each)ceil(cubic_ft_waste / 0.60)
  7. Weight of the pourcubic_yards * 4050
  8. Ready-mix cost at that pricecubic_yards * price

Formula from American Concrete Institute, Portland Cement Association.

The same calculator, other cases

Undecided? The Concrete Calculator carries every case behind one control.

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