Pouring Concrete Piers for Decks
A deck is only as strong as the foundation it rests upon. In deck construction, the foundation consists of concrete piers (or footings) poured deep into the earth. These piers support the wooden posts that hold up the deck beams and joists.
Properly sizing and pouring your concrete piers ensures your deck will not sink into the mud under heavy loads, or heave out of the ground during winter freezes.
How to Calculate Concrete Volume for Piers
Because deck piers are almost always cylindrical (formed either by digging a round hole or using cardboard tube forms like Sonotubes), you must calculate the volume of a cylinder and then multiply it by the total number of piers your deck design requires.
The Formula
To find the total volume in cubic yards:
- Divide the Pier Diameter (in inches) by 2 to find the Radius.
- Convert the Radius to feet (divide by 12).
- Square the radius (multiply it by itself).
- Multiply the squared radius by Pi (π ≈ 3.14159). This is the area of one pier in square feet.
- Multiply that area by the Pier Depth (ft) to get the cubic feet for one pier.
- Multiply by the Number of Piers to get the total cubic feet for the entire project.
- Divide the total cubic feet by 27 to convert to Cubic Yards.
Volume (yd³) = ((π × ((Diameter ÷ 2) ÷ 12)² × Depth) × Number of Piers) ÷ 27
Example Calculation
You are building a deck that requires 6 piers. Each pier hole is 12 inches in diameter and 48 inches (4 feet) deep.
- Radius in feet:
12 ÷ 2 = 6 inches. Then6 ÷ 12 = 0.5 ft. - Square the Radius:
0.5 × 0.5 = 0.25. - Area:
3.14159 × 0.25 ≈ 0.785 square feet. - Cubic feet for ONE pier:
0.785 sq ft × 4 ft = 3.14 cubic feet. - Total cubic feet for ALL piers:
3.14 × 6 = 18.84 cubic feet. - Total Cubic Yards:
18.84 ÷ 27 ≈ 0.70 cubic yards.
Because 0.70 cubic yards is roughly equivalent to thirty-two 80-pound bags of concrete, you are right on the borderline between hand-mixing bags in a wheelbarrow and ordering a small delivery truck.
The Frost Line Rule
The depth of your deck piers is not arbitrary; it is strictly dictated by your local building code based on the "frost line."
When the moisture in soil freezes, it expands. If the bottom of your concrete pier sits above the freezing depth (the frost line), the expanding soil will grab the bottom of the pier and push it upward. This is called "frost heave" and it will literally rip your deck off its ledger board.
You must dig your pier holes so that the bottom of the concrete rests at least 6 inches below the deepest known frost line in your region. In the northern United States and Canada, this often means digging holes 48 to 60 inches deep.
Bell Footings vs. Straight Piers
In heavy-load applications or soft soils, a straight cylindrical pier might not have enough surface area at the bottom to prevent sinking. In these cases, building codes require a "bell" or spread footing.
This means the very bottom of the hole is dug wider than the rest of the cylinder, creating a mushroom-shaped base that spreads the weight of the deck over a larger area of soil. If your design requires bell footings, you will need to add an additional 10% to 20% to your concrete volume calculation.