How does ideCAD control beam-column flexural capacity ratios according to ACI 318-19?
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Ag = gross area of concrete section, in2
fc'= specified compressive strength of concrete, psi
fy = specified yield strength for nonprestressed reinforcement, psi
Mn = nominal flexural strength at section, in.-lb
Mnb = nominal flexural strength of beam including slab where in tension, framing into joint, in.-lb
Mnc = nominal flexural strength of column framing into joint, calculated for factored axial force, consistent with the direction of lateral forces considered, resulting in lowest flexural strength in.-lb
Mpr = probable flexural strength of members, with or without axial load, determined using the properties of the member at joint faces assuming a tensile stress in the longitudinal bars of at leasts least 1.25fy and a strength reduction factor ϕ of 1.0, in.-lb
Pu= factored axial force; to be taken as positive for compression and negative for tension, lb
ϕ = strength reduction factor
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The columns of special moment frames are considered as part of the seismic-force resisting system. The subject of this title is to reduce the possibility of yielding in columns of special moment frames. Columns not stronger than beams increased the likelihood of inelastic action. The worst possible case is when all columns in a given story have flexural yielding at both ends. In this case, it creates a column failure mechanism to cause collapse. In order to avoid this situation, the minimum flexural strength of colums column control given in ACI 18.7.3 should be satisfysatisfied.
The flexural strenghts strengths of the columns shall satisfy ACI Eq.(18.7.3.2),
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ΣMnc is the sum of nomianl nominal flexural strengths of colums columns framing into the joint. Column flexural strength is calculated for the factored axial load, Pu, consistent with the direction of the lateral forces considered, resulting in the lowest flexural strength.
ΣMnb is the sum of nomianl nominal flexural strengths of the beams framing into the joint, evaluated at the faces of the joint.
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The factored axial force, Pu, in each of the columns column is calculated from the program for each load combination. For each design load combination, the moment capacity of each column under the unfilence of axial load is then determined separately for the major and minor directions of the column, using the three-dimensional interaction failure surface.
The Mn values used in the calculation of ΣMnc and ΣMnb values are the nominal flexural strengths described in the Flexural Strength per ACI 318-19 with ideCAD and Axial strength or Combined Flexural and Axial Strength per ACI 318-19 with ideCAD titles. Nominal flexural strength Mn, is calculated without using the strength reduction factor (ϕ=1) and as the reinforcement yield stress fy. Mn is shown by the green curve in the graph above.
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Connections where the column is discontinuous above the connection.
Column factored axial compressive force, Pu under load combination including earthquake effect, E are less than Agfc' /10.
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