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RC Column P-M Interaction

Tied rectangular column interaction diagram per ACI 318 / NSCP 2015 — pure compression cap, balanced point, pure flexure, and load point check.

Inputs

mm
mm (in bending dir.)
mm to bar centroid
MPa
MPa
distributed in 2 layers
mm

Load Point Check

kN (compression +)
kN·m
Method & assumptions
  • Strain compatibility: εc,max = 0.003, β1 per ACI 318.
  • Whitney stress block; bars at d′ from compression face, total area split evenly into 2 layers (top & bottom).
  • Pn,max capped: tied 0.80·P0, spiral 0.85·P0; P0 = 0.85·f'c·(Ag−Ast) + fy·Ast.
  • φ varies: 0.90 if εt≥0.005, 0.65 (tied) or 0.75 (spiral) if εt≤εy, linear interp between.
  • Diagram traced by sweeping neutral axis depth c from 0 → ∞ (and tension-controlled side included).

Results

Ag
Ast (total)
ρg
P0 (pure compression)
φPn,max
Pure flexure φMn,0
Balanced point φPn,b / φMn,b
Demand checkInside