Verified Mathematical Model & Formulation
Cylinder Vol = π × (Diameter / 2)² × Depth × Count Trench Vol = Length × Width × Depth
Calculates structural concrete for either continuous grade trenches or cylindrical drilled foundation piers using exact geometric volume formulas.
Configurable Parameters & Standard Units
- Pier Diameter: (Default: 12 in)
- Pier Depth (Below Frost Line): (Default: 42 in)
- Number of Piers: (Default: 6 count)
Standard Worked Example & Practical Verification
Scenario: Drilling 8 deck piers, each 12 inches in diameter and 42 inches deep.
Calculated Solution
0.90 Cubic Yards (41 Eighty-Pound Bags)
Practical Takeaway: For under 1 cubic yard, buying 41 bags mixed on-site in a wheelbarrow or portable mixer is cost-effective.
Frequently Asked Questions
Why must footings extend below the frost line?
To prevent frost heave, where freezing groundwater expands beneath the footing and pushes structural piers upward.