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Lecture notes
Department of Architecture, Cornell University

ARCH 2614/5614 Building Technology I: Materials and Methods

Jonathan Ochshorn

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Area Calculations and Examples

Determination of Allowable Building Area

Basic building area can be increased for frontage, sprinklers, and numbers of stories as follows:

Allowable area for single-occupancy buildings, per floor, Aa = At + NS × If, where:

Excerpt from Table 506.2 Allowable area factor from 2015 IBC

For single-occupancy buildings of 1 – 3 stories (above grade plane), the maximum total allowable building area is the allowable area for a single floor times the number of stories.

For unsprinklered buildings with 4 or more stories (above grade plane), the maximum allowable total building area = the allowable area per floor times three. For fully-sprinklered buildings with 4 or more stories (above grade plane), the maximum allowable total building area = the allowable area per floor times three (i.e., no change, except for Group R buildings with NFPA 13R sprinklers; see note below). The area per floor cannot exceed the allowable per-floor area computed above.

graphic description of maximum areas for unsprinkleredbuildings

There is an exception for Group R buildings with so-called NFPA 13R sprinklers: in such cases, the total allowable building area is the allowable per-floor area times 4 (and such residential buildings cannot be more than 4 stories above grade plane, or above horizontal assemblies which effectively create separate buildings for the purpose of these area calculations: see Code for details). Of course, residential buildings can be more than 4 stories high, but in those cases, regular sprinklers (not these special "13R" residential-only sprinklers) must be used. And such buildings, higher than 4 stories, are still constrained by story and height limits found elsewhere in the code and, of course, by zoning ordinances.

Where there is no frontage increase, the value of If is taken as zero.

For mixed occupancies: See next lecture.

1. For codes based on the 2015 or 2018 IBC: If = Frontage increase coefficient = (F/P − 0.25)(W/30) where

For codes based on the 2021 or 2024 IBC: If = Frontage increase coefficient and is computed somewhat differently than prior versions of the IBC. The main difference is that the weighted average of open-space widths has been replaced with the minimum width that is 20 feet or greater. Then, Table 506.3.3 is used to find the frontage increase factor rather than the old equation (but the table is based on the older equation except that W is the minimum width, as just described, rather than the weighted average). This minimum width is labeled as "Open space" in the table, reproduced below.

Table 506.3.3 Frontage increase factor (2021 and 2024 IBC)

% building perimeter Open space (feet)
20 to less than 2525 to less than 3030 or greater
0 to less than 25000
25 to less than 500.170.210.25
50 to less than 750.330.420.50
75 to 1000.500.630.75

2. Sprinklers: Tables in Chapter 5 allow increased building height — 1 extra story and 20 extra feet — and also allow significantly more floor area — 4 times more for 1-story buildings (S1) and 3 times more for multiple-story buildings (SM).

3. Unlimited area buildings are permitted where the minimum yard distance on all sides is 60 feet, and occupancy, sprinklers, and number of stories meet the criteria in the following table (based on selected information from Sec. 507):

OccupanciesSprinklers required?Story limitIBC 2015 ref.Notes
F-2, S-2No1Sec. 507.31
A-4Yes1Sec. 507.41, 2
B, F, M, SYes2Sec. 507.4 and 5-7.51
A-3, Type IIYes1Sec. 507.61, 3
A-3, Type III and IVYes1Sec. 507.71, 4
HSee Code for detailsSec. 507.8 – 507.101
EYes1Sec. 507.111, 5
Motion picture theatersYes1Sec. 507.121, 6
Covered or open malls and anchor buildingsYes3Sec. 507.131, 7

Notes:

  1. See IBC Code for other details and exceptions.
  2. Not Type V construction.
  3. Type III and IV construction, and used for place of worship, community hall, dance hall, exhibition hall, gym, lecture hall, indoor pool, tennis court; no stage except platform.
  4. Type II construction, and used for place of worship, community hall, dance hall, exhibition hall, gym, lecture hall, indoor pool, tennis court; no stage except platform. Assembly floor within 21 inches of street or grade level; all exits have ramps.
  5. Type II, IIIA or IV construction; each classroom has at least 2 means of egress, one directly outside.
  6. Type II construction. Motion picture theater must be on 1st story; building call be higher.
  7. Must comply with Sec. 402.

Note that in the 2018 and earlier versions of the IBC, for occupancies that meet all criteria for unlimited area except for the 60-foot yard requirement, the parameter, W, used in the frontage increase calculation may be taken as no greater than 60 feet (rather than limited to 30 feet). In the 2021 IBC, a similar principle is invoked, but minimum (not weighted average) widths are used and the frontage increase factor is computed using Table 506.3.3.1 instead of an equation. Finally, in the 2024 IBC, an additional stipulation has been added: the smallest open space used to compute both W, and the percentage of qualifying perimeter (F), can be no less than 30 feet (rather than 20 feet)

4. Example: Find the allowable area for a sprinklered Type II-A office building on a big enough site so that the area of the building is not limited by frontage or property lines in any way (i.e., If = 0.75).

5. Example: Design with limited site area.

What does "design" mean in this context?

Assume that building size has been determined by zoning setbacks and parking requirements (see site plan above with 100 ft. × 60 ft. building and If = 0.42. Find "least expensive" construction type.

Table 506.2, 2015 IBC, for this example
Aa is computed above for a sprinklered multi-story building with a frontage factor = 0.42.

Choices:

Calculator: See my IBC 2021–2024 Allowable Area Calculator (with a link to an earlier IBC 2018 version).