Concrete Stiffness Modification in RFEM 6 According to ACI 318-19 and CSA A23.3-19

Technical Article on the Topic Structural Analysis Using Dlubal Software

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Technical Article

In accordance with Sect. 6.6.3.1.1 and Sect. 10.14.1.2 out of the ACI 318-19 and CSA A23.3-19 respectively, RFEM effectively takes into consideration concrete member and surface stiffness reduction for various element types. Available selection types include cracked and uncracked walls, flat plates and slabs, beams, and columns. The multiplier factors available within the program are taken directly from Table 6.6.3.1.1(a) and Table 10.14.1.2.

Reduced Stiffness According to the ACI 318 and CSA A23.3

Referencing Sect. 6.6.3.1.1 and Sect. 10.14.1.2, the gross section area Ag and moment of inertia Ig are permitted for elastic analysis with factored load levels applied. Determining factored load levels is done utilizing Table 6.6.3.1.1(a) from the ACI 318-19 [1] and the table located under Sect. 10.14.1.2 in the CSA A23.3-19 [2], where the element type and its condition are taken into consideration. The multiplying factors reduce the moment of inertia while the gross section area stays constant. These factors were conservatively enforced by the various concrete standards to account for section loss due to concrete cracking.

According to the ACI 318-19 Sect. 6.6.3.1.1, the moment of inertia and gross area of members/surfaces shall be calculated in accordance with Tables 6.6.3.1.1(a) or 6.6.3.1.1(b) unless a more rigorous analysis is required. Similarly, the CSA A23.3-19 lists a table which includes the corresponding multiplication factors applied to each moment of inertia.

Different conditions such as "cracked" and "uncracked" only effects concrete elements categorized under "wall". When calculating the moment and shear for a cracked wall, a factor of 0.70 is applied to the gross moment of inertia Ig. If the wall is indicated to crack, based on the modulus of rupture, the moment of inertia is calculated as 0.35Ig for further analysis.

Unlike walls, when analyzing other elements such as columns, beams, flat plates, and flat slabs, the moments of inertia do not change based on cracked or uncracked assumptions. The reduced value is based on a single reduction factor listed below.

Columns: Ig = 0.70Ig
Beams: Ig = 0.35Ig
Flat plates and flat slabs: Ig = 0.25Ig

For all concrete elements, including walls, a factor of 1.0 is applied to the gross section area Ag. Therefore, the gross area of the concrete section remains unchanged. With regards to the ACI 318-19, moment of inertia values taken from MacGregor and Hage (1977) [3] are multiplied by a stiffness reduction factor of φk = 0.875 referenced from R6.6.4.5.2. For example, the moment of inertia can be calculated as such:

0.875(0.80Ig) = 0.70Ig

RFEM Adoption

RFEM seamlessly allows the user to modify the flexural or axial stiffness of any concrete member or surface to be considered for the analysis and design according to the ACI 318-19 or the CSA A23.3-19. The stiffness modifications should only be set for Strength (factored) Design Situations and not for Serviceability (unfactored) Design Situations. While the component types can be set for each element within load cases/combinations under the "Structure Modification" option within the program, it is best to make these changes directly under the Strength Design Situation which will in turn automatically apply these settings to the subsequent factored load combinations. 

When creating/editing the "Combination Wizard" under the "Design Situations" tab in the "Options", there is a check box to "Consider" "Structure Modifications". See Figures 01 and 02.

Once this box is checked, a new Structure Modification must be created using the "Create New Structure Modification..." button. There, a table for modifying stiffness where you can check on Members and/or Surfaces to be modified. Then, once at least one of these is checked, a new tab(s) will appear at the top. 

Within the tab(s), the "Modification Type" such as the ACI 318-19 Table 6.6.3.1.1(a) or CSA A23.3-19 Table 10.14.1.2 can be specified for either members or surfaces. Figures 03 and 04 show the different standards and component types that can be selected within a drop-down window. 


Author

Alex Bacon, EIT

Alex Bacon, EIT

Technical Support Engineer

Alex is responsible for customer training, technical support, and continued program development for the North American market.

Keywords

Stiffness Member Surface Column Reduction

Reference

[1]   ACI 318-14, Building Code Requirements for Structural Concrete and Commentary
[2]   CSA A23.3:14, Design of Concrete Structures
[3]   MacGregor, J. G.; Hage, S. E.: Stability Analysis and Design of Concrete Frames, Journal of the Structural Division 10, Pages 1963 - 1970. 1977

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  • Updated 21 January 2022

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