Part 1 — Load and System Classification (Checks 1-3)

Check 1: Confirm column axial load at each level

Tabulate the unfactored and factored axial load at each floor level:

Common mistake: Using the same live load reduction for a corner column (tributary area = 1/4 of interior) as for an interior column. Corner columns have smaller tributary areas and may not qualify for maximum reduction.

Check 2: Identify the lateral system and column role

Classify each column:

Check 3: Confirm load combinations including lateral

Column load combinations must include both gravity-governed and lateral-governed cases:

Combination Axial (P) Major Moment (Mx) Minor Moment (My)
1.2D + 1.6L Max compression ~0 (braced frame) From connection eccentricity
1.2D + 1.0W + 0.5L Compression + bending From wind From wind
0.9D + 1.0W Tension possible (uplift) From wind From wind
1.2D + 1.0E + 0.5L Compression + bending From seismic From seismic

Part 2 — Axial Compression Capacity (Checks 4-6)

Check 4: Determine the effective length factor K

Three methods:

Check 5: Calculate available axial compressive strength

Per AISC 360 Ch. E3: Fe = pi^2 _ E / (KL/r)^2 If KL/r <= 113.4 (A992): Fcr = (0.658^(Fy/Fe)) _ Fy (inelastic buckling) If KL/r > 113.4: Fcr = 0.877 * Fe (elastic buckling) phi*Pn = 0.90 _ Fcr _ Ag

Columns with KL/r <= 80 have minimal buckling reduction (Fcr/Fy >= 0.72). Columns with KL/r = 150 have Fcr/Fy = 0.41, losing 59% of yield capacity.

Check 6: Verify slenderness limits


Part 3 — Combined Axial and Bending Interaction (Checks 7-9)

Check 7: Account for all sources of bending moment

Column bending comes from multiple sources:

  1. Frame action bending: From lateral load analysis (moment frames).
  2. Connection eccentricity: Beam reactions at 3-5 in. eccentricity create weak-axis moment. For a 50 kip beam at 3 in.: My = 12.5 kip-ft per floor.
  3. Out-of-plane frame action: In 3D models with orthogonal frames.
  4. Notional out-of-plumbness: P-delta moments from notional loads.
  5. Thermal effects: For long buildings without expansion joints.

Check 8: Calculate second-order effects (P-delta)

Per AISC Ch. C:

Check 9: Verify the interaction equation

Per AISC 360 H1.1: When Pr/Pc >= 0.2: Pr/Pc + 8/9 * (Mrx/Mcx + Mry/Mcy) <= 1.0 When Pr/Pc < 0.2: Pr/(2*Pc) + (Mrx/Mcx + Mry/Mcy) <= 1.0

For most building columns, the interaction check governs over pure axial. A column at 60% axial capacity may still fail due to accumulated bending moments.


Part 4 — Base Plate Design (Checks 10-12)

Check 10: Determine base plate area for bearing

Per AISC 360 J8: phic * Pp = phic * 0.85 _ f'c _ A1 _ sqrt(A2/A1) <= phi_c _ 1.7 _ f'c _ A1 Where sqrt(A2/A1) <= 2.0. Maximum bearing strength = 1.105 _ f'c on A1. Required area: A1_req = Pu / (0.65 _ 0.85 _ f'c _ 2) for generous pedestal.

Check 11: Calculate base plate thickness

Per AISC 360-22 commentary: m = (N - 0.95d) / 2, n = (B - 0.80bf) / 2 t*req = max(m, n) * sqrt(2 _ Pu / (0.9 _ Fy _ B * N)) Minimum thickness: 3/4 in. for most building columns, 1 in. minimum for columns over 200 kips.

Check 12: Design anchor rods


Part 5 — Splices and Special Conditions (Checks 13-15)

Check 13: Design column splices

Column splices are typically located 4 ft above finished floor and must transfer axial compression (bearing or splice plates), axial tension (flange plates with net section check), moment (flange plates for force couple), and shear (web plate).

Check 14: Check torsional buckling for cruciform and built-up sections

For standard W-shapes, flexural buckling (E3) governs. Torsional or flexural-torsional buckling (E4) must be checked for cruciform sections, single angles, double angles, tees, and unsymmetric sections.

Check 15: Documentation and capacity summary

Produce a column schedule showing every column:

Column ID Level Section KL/r phi*Pn Pu D/C Axial D/C Interaction
C1 1st W12x96 42 1310 785 0.60 0.82
C1 2nd W12x72 48 950 510 0.54 0.71
C1 3rd W12x50 55 645 245 0.38 0.45

Column Design Checklist — Quick Reference Card

# Check Code Reference Pass/Fail
1 Axial loads tabulated per level (D, L, Lr, S, W, E) ASCE 7 Ch. 4 [ ]
2 Column role identified (gravity vs. lateral system) Framing plan [ ]
3 Load combos include lateral + uplift cases ASCE 7 Ch. 2 [ ]
4 K factor determined (alignment chart or direct analysis) AISC Ch. C [ ]
5 phi*Pn >= Pu for all combos (axial buckling) AISC Ch. E3 [ ]
6 KL/r <= 200 (primary), <= 300 (secondary) AISC Ch. E [ ]
7 All moment sources accounted (frame + eccentricity) Analysis output [ ]
8 Second-order effects included (P-delta/P-Delta) AISC Ch. C [ ]
9 Interaction equation <= 1.0 (both axes) AISC H1.1 [ ]
10 Base plate bearing area adequate AISC J8 [ ]
11 Base plate thickness adequate AISC DG1 / AISC comm. [ ]
12 Anchor rods sized for tension + shear ACI 318 Ch. 17 [ ]
13 Splice design complete (if spliced column) AISC Ch. J [ ]
14 Torsional buckling checked (if applicable) AISC E4 [ ]
15 Column schedule complete with D/C ratios QA/QC standard [ ]

Related References

Disclaimer

This page is for educational and reference use only. It does not constitute professional engineering advice. All column designs must be verified against the applicable standard and project specifications by a licensed Professional Engineer (PE) or Structural Engineer (SE).