Frost Depth Ground Calculator
Frost depth is the maximum depth to which soil freezes in winter, and is a critical design parameter for foundations, buried utilities and pavements. This calculator uses the simplified Modified Berggren formula: d = C x sqrt(F), where F is the seasonal freezing index in degree-days Fahrenheit and C is a soil-type coefficient. Enter the freezing index for your location (available from NOAA climate data) and select the soil type to estimate the expected frost penetration depth in inches. For code-compliant foundation design, consult a licensed geotechnical engineer.
Modified Berggren frost depth formula
d = C × sqrt(FI)
Where d is frost penetration depth in inches, FI is the seasonal freezing index in degree-days Fahrenheit, and C is the soil coefficient based on thermal properties and moisture content. Source: USACE Engineer Manual EM 1110-2-1906 and Aldrich (1956), Modified Berggren formula as adopted in ASCE cold regions engineering guidelines.
Representative design freezing index values (NOAA)
- Miami, FL: Approximately 0 degree-days F
- Atlanta, GA: Approximately 100 to 200 degree-days F
- Washington DC: Approximately 700 degree-days F
- Chicago, IL: Approximately 1,000 degree-days F
- Minneapolis, MN: Approximately 2,200 degree-days F
- Duluth, MN: Approximately 3,500 degree-days F
- Fairbanks, AK: Approximately 14,000 degree-days F
Frost depth calculator: frequently asked questions
What is frost depth and why does it matter?
Frost depth is the maximum depth to which the ground freezes during winter. It is critical for civil and structural engineering because foundations, utility lines, water mains and footings must be placed below the frost depth to avoid frost heave, which can lift and crack structures as water expands when it freezes. Building codes (IBC and local codes) typically require foundation footings to be at or below the local frost depth.
What is the Modified Berggren method for frost depth?
The Modified Berggren method (Aldrich, 1956, as revised in USACE Arctic and Subarctic Construction Manual) estimates frost penetration depth as: d = C x sqrt(F), where d is frost depth in inches, F is the freezing index in degree-days Fahrenheit, and C is a coefficient that depends on soil thermal properties. The simplified version using C = 1.0 (for wet silty soils) is widely used for preliminary design per ASCE and the US Army Corps of Engineers.
What is a freezing index?
The freezing index (FI) is the cumulative number of degree-days below freezing (32 deg F or 0 deg C) in a given winter season. It is calculated as the sum of (32 - daily mean temperature) for each day when the mean temperature is below 32 deg F. NOAA publishes historical freezing index values by location. The design freezing index is typically the 100-year return period freezing index for engineering applications.
What are typical frost depths in the US?
Frost depths vary widely by location. In the deep South and Gulf Coast (FI near 0), frost depth is zero or minimal. In the mid-Atlantic and Ohio Valley region (FI 100 to 500), frost depths are 12 to 24 inches. In the upper Midwest and New England (FI 500 to 2,000), frost depths reach 36 to 60 inches. In Alaska and northern Minnesota (FI over 5,000), frost depths can exceed 100 inches. NOAA Climate Services publishes design freezing indices.
How does soil type affect frost depth?
Soil thermal properties, particularly thermal conductivity and water content, affect how deeply frost penetrates. Dry sandy soils have lower conductivity and smaller frost depths for a given freezing index. Saturated silty soils (fine-grained, high water content) conduct heat more efficiently, resulting in greater frost penetration. The Modified Berggren coefficient C ranges from approximately 0.8 for dry sand to 1.2 for saturated silt, per USACE cold regions engineering manuals.
Official sources
- USACE Engineer Manual EM 1110-2-1906, Frost Action in Soils: publications.usace.army.mil.
- NOAA Climate Services, Freezing Index Data: climate.gov.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.