Concrete Column
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Method & scope
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Calculation method
The Concrete Column calculator designs rectangular and circular reinforced concrete columns to AS 3600:2018 (Amendment 2) using limit state design. It generates P-M interaction diagrams for both axes, checks combined axial and bending demands, and evaluates buckling for slender columns.Section geometry and reinforcement
For rectangular sections, the cross-section is defined by depth D and breadth B. For circular sections, the overall diameter is entered directly. Longitudinal reinforcement is specified by bar size and count, arranged in a circular pattern for circular sections or as corner and face bars for rectangular sections. Fitment (tie or helix) size and spacing are entered separately.Axial squash and buckling capacity (AS 3600:2018, Cl 10.3 and 10.4)
The squash load is the maximum concentric axial load the section can carry without bending: phi × N_uo = phi × [alpha_1 × f’c × (Ag, Ast) + fy × Ast] where alpha_1 = 1.0, (f’c / 340) per Cl 10.6.2.2. The reduced squash load phi_N_u accounts for accidental eccentricity (Cl 10.3.1). Buckling capacity is determined from the effective length kL and the section radius of gyration r: phi × N_uc = pi² × E × I / (kL)² (for slender columns per Cl 10.4)P-M interaction diagram (AS 3600:2018, Cl 10.6)
The interaction diagram is constructed from three key points per axis:- Decompression point: axial load at which tensile strain at the extreme fiber is zero (Cl 10.6.2.3)
- Balanced point: simultaneous concrete crushing and steel yielding (Cl 10.6.2.5)
- Pure bending point: zero axial load capacity per Cl 8.1
Biaxial interaction check (AS 3600:2018, Cl 10.6.3)
For combined biaxial bending and axial load, the utilization is checked against the interaction relationship: (Mu,x / phi × M_ux)^alpha_n + (Mu,y / phi × M_uy)^alpha_n ≤ 1.0 where alpha_n is determined from the axial load ratio N*/N_uo.Shear capacity (AS 3600:2018, Cl 8.2)
Shear capacity about each axis is computed using the simplified method (Cl 8.2.4.3), valid for f’c up to 65 MPa without prestress, tension, or torsion. Results are reported for reference; columns with significant lateral shear demands should be verified separately.Assumptions
No torsional demands are considered. Fitments are assumed horizontal and perpendicular to tensile reinforcement. Transmission of axial force through floor systems (Cl 10.8) and crack control are not checked within this calculator.How to use it
A. Geometry
Calcs.com gives the user the opportunity to use either a rectangular or a circular column.

B. Beam Dimensions

- Cross-section height (D) must be specified in millimeters.
- Cross-section width (B) must be specified in millimeters.
- Total length of the column (L) must be specified in millimeters.
C. Concrete Strength

D. End Restraint Condition
2. Longitudinal Reinforcement
A. Reinforcement Type







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Fitment Type

B. Minimum Diameter of Fitment
C. Fitment Vertical Spacing or Helix Pitch
D. Maximum Fitment Vertical Spacing or Helix Pitch
E. Number of Fitment Legs Perpendicular to X-axis
F. Number of Fitment Legs Perpendicular to Y-axis
G. Number of Angled Fitment Legs
H. Minimum Number of Fitment Legs Perpendicular to X-axis
I. Area of Fitments Perpendicular to X-axis
J. Minimum Number of Fitment Legs Perpendicular to Y-axis
K. Area of Fitments Perpendicular to Y-axis
L. Special Confinement Region Required Perpendicular to X-axis

- The curved line on the graphs, known as the interaction curve or interaction diagram, represents the combined capacity of the column for both axial load and bending moment. Any point on this curve shows the maximum combinations of axial load and moment that the column can sustain without failing.
- If the point were on or outside the curve, it would suggest that the column’s load condition is at or exceeds its safe capacity, which would indicate potential structural risk.
Available presets
Each preset opens the calculator with a typical setup already entered.Common questions
What design standard and method does this calculator use?
What design standard and method does this calculator use?
What column geometries are supported?
What column geometries are supported?
What checks does the calculator perform?
What checks does the calculator perform?
How is biaxial bending handled?
How is biaxial bending handled?
How does slenderness affect the column design?
How does slenderness affect the column design?
Does this calculator support load linking with beam and footing calculations?
Does this calculator support load linking with beam and footing calculations?