calcnote ACI 318-19
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Longitudinal reinforcement limits for columns per ACI 318-19

Two rules bound the vertical steel in a nonprestressed concrete column: the reinforcement ratio must sit between 1% and 8% of the gross area (§10.6.1.1), and there must be a minimum number of bars that depends on how they are confined (§10.7.3.1). This page states both, explains why they exist, and shows where real designs land.

The steel ratio: 1% to 8% (§10.6.1.1)

$$0.01\,A_g \;\le\; A_{st} \;\le\; 0.08\,A_g \qquad \rho_g = \frac{A_{st}}{A_g}$$

Minimum number of bars (§10.7.3.1)

Transverse reinforcement Minimum bars
Rectangular or circular ties4
Spirals6

Four bars puts one bar in each corner of a rectangular tie; spiral columns need at least six. See spiral reinforcement requirements for the rest of the spiral rules.

Steel area limits for common sections

Section Ag (in²) Min Ast, 1% (in²) 4% (in²) Max Ast, 8% (in²)
12×12 in1441.445.7611.52
16×16 in2562.5610.2420.48
20×20 in4004.0016.0032.00
24×24 in5765.7623.0446.08
20 in diameter314.23.1412.5725.13

Bar areas for reference: #6 0.44, #7 0.60, #8 0.79, #9 1.00, #10 1.27, #11 1.56 in².

Practical notes

Where real designs land

Steel ratios computed by calcnote's engine for the sections on this site:

Section Ast (in²) ρg Result
14×14 in, 4-#7 (Wight Example 12-2)2.401.22%Within limits
16×16 in, 8-#9 (live demo)8.003.13%Within limits
20 in diameter, 8-#10 (spiral)10.163.23%Within limits
16×16 in, 4-#61.760.69%Rejected: below 1%

For the last row calcnote stops before any capacity calculation and says what would fix it: at least 2.56 in² of steel, or a section no larger than 176 in² (about 13×13 in) for the same bars.

What calcnote checks

Every run checks 0.01 ≤ ρg ≤ 0.08 on the gross section and the §25.2.3 clear spacing between bars, and only offers bar counts that meet §10.7.3.1 (4, 8, 12, 16 or 20 bars for rectangular sections; 6 or more for circular). Scope note: the reduced effective area option, lap splice congestion and seismic limits are the designer's call.

Sources