December 21, 2021


Why does my slab deflection increase using ACI 318-19?


Since the release of RISAFloor v15 and ADAPT-Builder v20, both which include the latest update to the ACI code (ACI 318-19), some customers have asked our support team why they're experiencing increased slab deflections. These increased deflections are the result of changes in the calculation of the effective moment of inertia, Ie, for slabs that was made in ACI 318-19 code, compared to the previous ACI 318-14 code.

ACI 318-14 Code

In the ACI 318-14 Building Code Requirements for Structural Concrete code (as well as previous versions of the ACI code) the calculation for the effective moment of inertia, Ie for nonprestressed members was as follows:

ACI318 14 Calculation of Ie

The use of the effective moment of inertia, Ie, was developed to provide a transition between the upper and lower bounds of the gross moment of inertia, Ig and the cracked moment of inertia, Icr as a function of the ratio of Mcr/Ma.

Updates to the ACI 318-19 Code

By contrast, the ACI 318-19 code incorporates a new calculation of the effective moment of inertia, Ie, which is dependent on how the applied moment Ma compares to a ratio of 2/3Mcr (the cracking moment). The complete calculation is as shown below:

ACI318 19 Calculation of Ie

These new equations will be utilized to calculate the effective moment of inertia when the long-term deflection option is enabled for user defined slabs in RISAFloor ES.

Deflectionoptions

To better understand this change, the graph below shows a plot of the ratio of Ie/Ig vs. the ratio of Ma/Mcr for both the ACI 318-14 and the ACI 318-19.

Ratiobetweencodes

As shown above, the value of Ie/Ig drops quickly at 2/3Mcr and continues until roughly Mcr. For slabs that fall into this category, a larger deflection will be present when utilizing the ACI 318-19 code.

Evaluating in RISAFloor ES

Using a simple elevated slab model in RISAFloor ES, we can see the difference in the ratio between Ie/Ig in the ACI 318-14 and ACI 318-19 codes in the image below:

ES14v19

For the ACI 318-14 code, the ratio is roughly 0.58 while the ratio in the ACI 318-19 code is approximately 0.25. Comparing these values to the graph plotted above, we see the ACI 318-19 code renders a larger value of Ma/Mcr, which ultimately leads to a larger deflection (0.719" vs. 1.86").

ES14v19 deflection

For more information about long-term deflection calculations in RISAFloor ES, review the RISAFloor Help file.

RISAFloor Help: Long Term Deflections


Tags: RISAFloor ES Concrete Slab Deflection Codes

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