2. Determine Slenderness Effects

The reference decided to be consistent with the more conservative procedure provided by ACI 318-19 (6.6.4.4.3) by taking k value equals to 1.0. However, the k value, in this example, is calculated based on the exact procedure for illustration purposes.

    ACI 318-19 (6.6.3.1.1(a))

    ACI 318-19 (6.6.3.1.1(a))

    ACI 318-19 (19.2.2.1.b)

For columns:

For beams framing into the columns:

    ACI 318-19 (Figure R6.2.5.1)

(Column was assumed hinged at base)         ACI 318-19 (Figure R6.2.5.1)

Using Figure R6.2.5.1 from ACI 318-19 à k = 0.959 as shown in the figure below for the exterior columns with one beam framing into them in the directions of analysis.

Figure 2 - Effective Length Factor (k) (Non-Sway Frame)

ACI 318-19 allows to neglect the slenderness in a non-sway frame if:

        ACI 318-19 (6.2.5.1b)

Where:

        ACI 318-19 (6.2.5.2)

∴ slenderness can be neglected.

Even though it is not required to consider slenderness effects for this column, the moment magnification method will be shown for illustration.