RAM Structural System Help

Limiting Neutral Axis Calculation

ACI 318-11, 21.9.6.2 states that compression zones shall be reinforced with special boundary elements when:

c l w 600 δ u h w ACI (21-8)
where
lw
=
Length of entire wall or length of segment of wall considered in direction of shear force
δ u
=
Design displacement = Cd δ e
δ e
=
Horizontal displacement from elastic analysis for a given load condition
Cd
=
Displacement amplification factor per building code
hw
=
Height of entire wall from base to top or height of the segment of wall considered
c
=
Largest neutral axis depth calculated for the factored axial force and nominal moment strength consistent with δu.

RAM calculates the parameter lw as the overall horizontal dimension of the wall panel or core as measured in the direction of loading for a specific load combination.

Dimensional assumptions for calculation of limiting c value per ACI 318-11, Eq 21-8

The parameter δ e is measured as the horizontal displacement at the centroid of the top of the Wall Design Group, minus the displacement at the centroid of the Section Cut for the respective load combination. The value is formulated from the lateral displacements solved for in RAM Frame and can be verified from the Load Combinations mode in RAM Frame. The displacements for each load case are combined according to the respective load combination under consideration in the RAM Concrete Wall module. The parameter hw is taken as the vertical distance from the bottom of the story at which the Section Cut is located to the overall top of the Wall Design Group.

Assumptions for calculation of δ u per ACI 318-11, Eq 21-8

The neutral axis calculation uses the factored axial load Pu that acts on the entire Section Cut. From this, the nominal moment strength coincident with the applied axial load is determined along with the corresponding neutral axis depth (see the following pair of figures).

Determination of nominal moment strength used in calculation of neutral axis location.

Calculation of neutral axis depth c coincident with applied load Pu and nominal moment strength Mn.