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Calcimator

Passive Solar Design Calculator

Thermal mass and window sizing for passive solar earthen buildings.

About this calculator

South Glazing -- the recommended window area -- and the Thermal Mass sized to absorb it both depend only on Floor Area and Heating Degree Days (HDD); Latitude and Wall Thickness never move either figure, since the glazing percentage formula (7% base, plus 0.8% per 1,000 HDD, capped at 20%) reads climate severity, not geographic position, and thermal mass is a flat 5.5x multiple of glazing area. Latitude does drive Overhang Depth, the summer-shading dimension, through a solar-altitude formula, but that relationship isn't smooth across the full 20-65 degree range: near latitude 23.5 degrees (the Tropic of Cancer), the underlying sun-angle math approaches a mathematical singularity, so this calculator clamps Overhang Depth to a practical 6-60 in band rather than reporting the unbounded raw result -- expect a coarse, non-monotonic jump in that output specifically for latitudes in the low-20s to mid-20s range, and treat the clamped value as a sign to consult a solar shading chart for your exact site rather than as a precise dimension.

Wall R-value and Thermal Lag both come from Wall Thickness alone (roughly R-0.2 and one hour of thermal lag per inch), independent of everything else on the form. HDD 5,500 and 40 degrees latitude (roughly Denver) size a 1,000 sq ft home to 114 sq ft of south glazing and 627 sq ft of thermal mass.

Inputs

sq ft
in

Results

South glazing (sq ft)

114

Thermal mass (sq ft)627
Wall R-value3.6
Thermal lag (hours)18
Overhang depth (in)24
How to Use This Calculator
  1. Enter Floor Area (sq ft) and your site Latitude (degrees N).
  2. Input Wall Thickness (in) and Heating Degree Days (HDD) for your climate zone.
  3. Review South Glazing (sq ft) and Thermal Mass (sq ft), the recommended window area and thermal mass sizing for the design.
  4. Review the Wall R-Value output to see the earthen wall's approximate heat retention.
  5. Review the solar gain and heat loss balance to verify the design meets passive solar guidelines (south glazing ~7-12% of floor area).

How the result changes with Floor area (sq ft)

Floor area (sq ft)South glazing (sq ft)
50057
75086
1,500171
2,500285

What each input means

Floor area (sq ft)
Total conditioned floor area of the building.
Latitude (degrees N)
Your latitude in degrees North (e.g. Denver = 39.7).
Wall thickness (in)
Earthen wall thickness in inches.
Heating degree days (HDD)
Annual heating degree days for your climate zone.

What each result means

South glazing (sq ft)
Recommended south-facing window area.
Thermal mass (sq ft)
Area of 4-in thick thermal mass floor/wall needed.
Wall R-value
Approximate R-value of the earthen wall.
Thermal lag (hours)
Time for heat to pass through the wall (flywheel effect).
Overhang depth (in)
South-facing overhang depth for summer shade.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Floor area (sq ft) = 1000, Latitude (degrees N) = 40, Wall thickness (in) = 18, Heating degree days (HDD) = 5500 = 4 input(s) provided
  2. Calculate South glazing
    South glazing = round(floorAreaSqFt * (glazingPct / 100))
    114 = 114
  3. Calculate Thermal mass
    Thermal mass = round(southGlazingSqFt * 5.5)
    627 = 627
  4. Calculate Wall R-value
    Wall R-value = round(wallThicknessIn * 0.2 * 100) / 100
    3.6 = 3.6

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Does latitude affect how much south-facing glazing is recommended?

No -- South Glazing is calculated from Floor Area and Heating Degree Days only. Latitude instead affects Overhang Depth, the shading dimension, through a separate solar-altitude calculation that doesn't touch the glazing sizing formula at all.

Why is the overhang depth output unreliable for some latitudes?

Its underlying formula involves a tangent of a solar-altitude angle that becomes undefined near latitude 23.5 degrees, inside the calculator's declared 20-65 degree range. The result is now clamped to a sane 6-60 in band so it can't return an absurd value, but that clamp means the output jumps rather than varying smoothly for latitudes in that neighborhood -- verify against a solar shading reference for your actual site.

What determines the Wall R-value output?

Wall Thickness alone, at roughly R-0.2 per inch of earthen wall -- the 18 in default thickness yields about R-3.6. Neither latitude, floor area, nor heating degree days factor into this figure.

How much does colder climate (higher HDD) increase the recommended glazing area?

At zero heating degree days the formula recommends the 7% floor-area baseline (70 sq ft on a 1,000 sq ft home); at 12,000 HDD, a cold climate, it climbs toward the 20% cap, recommending about 166 sq ft -- more than double the mild-climate figure for the same floor area.

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