The Scenario
This worked example walks through a simplified, Manual J-style cooling load calculation for a representative house: 2,500 sq ft, single-story, 9 ft ceilings, standard (code-minimum) insulation, 300 sq ft of double-pane low-E windows, climate zone 4 (mixed climate, moderate design temperature difference), 4 occupants, 1,000 W of equipment load, and 2 W/sq ft lighting density. The goal is to show every input and intermediate step so the calculation is fully auditable, not just a final tonnage number.
Step 1 — Envelope Conduction (Walls and Ceiling)
Approximate wall area for a roughly square single-story house: perimeter ≈ 4 × √(2,500) ≈ 200 ft, wall area ≈ 200 ft × 9 ft = 1,800 sq ft, minus 300 sq ft of window area = 1,500 sq ft of net wall. At standard insulation (assume a conduction factor of roughly 0.05 BTU/hr·ft²·°F for this simplified method) and a zone-4 design ΔT of 30°F: wall load ≈ 1,500 × 0.05 × 30 = 2,250 BTU/hr. Ceiling: 2,500 sq ft × 0.03 × 30 ≈ 2,250 BTU/hr.
Step 2 — Window Conduction and Solar Gain
Double-pane low-E glazing has a U-factor around 0.28: window conduction = 300 sq ft × 0.28 × 30°F = 2,520 BTU/hr. Solar heat gain through the same glazing, using a simplified average gain factor of roughly 150 BTU/hr per sq ft of glass: 300 × 150 = 45,000 BTU/hr — note this is intentionally a rough average across orientations; a full Manual J would apply different solar gain factors per window based on which direction each one actually faces, since a west-facing window gains far more in late afternoon than a north-facing one.
Step 3 — Internal Gains
Occupants: 4 people × 250 BTU/hr sensible each = 1,000 BTU/hr sensible (plus 4 × 200 = 800 BTU/hr latent, accounted for separately). Equipment: 1,000 W × 3.412 BTU/hr per watt ≈ 3,412 BTU/hr. Lighting: 2,500 sq ft × 2 W/sq ft × 3.412 ≈ 17,060 BTU/hr.
Step 4 — Summing Sensible Load
Adding every sensible component: wall (2,250) + ceiling (2,250) + window conduction (2,520) + solar gain (45,000) + occupant sensible (1,000) + equipment (3,412) + lighting (17,060) = 73,492 BTU/hr sensible. Solar gain through glazing is clearly the dominant term in this example — a common result for houses with substantial window area, which is exactly why window orientation and shading matter so much to real-world cooling load, more than most people intuitively expect.
Step 5 — Latent Load
Occupant latent: 4 × 200 = 800 BTU/hr. Using a simplified estimate that adds roughly 10% of sensible load as additional latent load from infiltration/ventilation moisture: 73,492 × 0.10 ≈ 7,349 BTU/hr. Total latent ≈ 800 + 7,349 = 8,149 BTU/hr.
Step 6 — Total Load and Equipment Sizing
Total load = sensible + latent = 73,492 + 8,149 = 81,641 BTU/hr. Converting to tons: 81,641 ÷ 12,000 ≈ 6.8 tons. In practice, a designer would round to the nearest standard equipment size — likely a 6.5 or 7-ton system, or reconsider whether splitting the house into multiple zones makes more sense at this load level, particularly given how much of the load is driven by solar gain, which better shading or window selection could meaningfully reduce.
What This Example Deliberately Simplifies
This worked example uses average/simplified factors (a single solar gain factor across all windows regardless of orientation, a flat percentage add-on for infiltration latent load) to keep the walkthrough legible. A full Manual J calculation for permit submission would apply orientation-specific solar gain factors per window, actual infiltration rate calculations based on the building's air-tightness, and room-by-room resolution rather than one whole-house total — always use a complete Manual J calculation, not this simplified example, for any real permit or equipment-purchase decision.