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US Standards Series · Part 5 of 9

LRFD Load Combinations — ASCE 7-22 & ACI 318-25

The complete set of LRFD load combinations from ASCE 7-22 §2.3, when each combination governs, the seismic load effect E decomposition, special overstrength combinations, and the notational differences between ASCE 7 and ACI 318-25.

Contents

  1. Load Notation
  2. The 7 LRFD Combinations
  3. When Each Combination Governs
  4. Seismic Load Effect E
  5. Special Load Combinations (Overstrength)
  6. ACI 318-25 vs ASCE 7-22 Notation
  7. Quick Application Guide

1. Load Notation

SymbolLoad TypeASCE 7-22 Reference
DDead load — weight of structure and permanent attachments§3.1
LLive load — occupancy, moveable equipment (after any reduction)§4.3
LrRoof live load (not snow)§4.5
SSnow loadCh.7
RRain load (ponding)Ch.8
WWind loadCh.26–31
ESeismic load effect (horizontal + vertical components)§12.4
FFluid load with well-defined pressure and height§3.4
HLoad due to lateral earth pressure, groundwater, or bulk materials§3.5
TSelf-straining load effects (temperature, creep, shrinkage)§2.3.5

2. The 7 LRFD Load Combinations — ASCE 7-22 §2.3.1

Every structural member must be checked under each applicable combination. The one producing the largest demand (moment, shear, axial) governs.

1
1.4D
Dead only
2
1.2D + 1.6L + 0.5(Lr or S or R)
Gravity dominant
3
1.2D + 1.6(Lr or S or R) + (L or 0.5W)
Roof live / snow dominant
4
1.2D + 1.0W + L + 0.5(Lr or S or R)
Wind dominant, additive
5
0.9D + 1.0W
Wind dominant, uplift / overturning
6
1.2D + 1.0E + L + 0.2S
Seismic dominant, additive
7
0.9D + 1.0E
Seismic dominant, uplift / overturning
Important: These combinations use factored loads — the nominal loads (D, L, W, E…) are already the result of the load determination step. Do not apply load factors again inside the load values.

Floor Live Load (L) Factor Reduction in Combinations 3 and 4

In combinations 3 and 4, when L arises from a parking garage, place of public assembly, or occupancies with Lo ≥ 100 psf (4.79 kN/m²), the L factor remains 1.0, not 0.5. Otherwise L may use the 0.5 factor when wind or snow governs.

3. When Each Combination Governs

#Governs When…Typical Application
1 (1.4D) Dead load is very large relative to live load; ratio D/L > 8. Rare in ordinary buildings. Massive concrete retaining walls, large water tanks, heavily loaded foundations
2 (1.2D+1.6L) Gravity loads dominate; no significant wind, snow, or seismic. The most common governing combination for interior beams and columns of low-rise buildings. Interior beams, interior columns, slabs in non-seismic, low-wind regions
3 (1.2D+1.6S) Heavy snow region; S > L. Often governs roof beams in northern climates. Roof beams and purlins in regions where pg > ~30 psf (1.44 kN/m²)
4 (1.2D+W+L) Wind governs over seismic; columns on windward side of lateral system. Check alongside combination 5. Lateral system columns, moment frame connections, braced frame diagonals
5 (0.9D+W) Wind uplift or overturning (reduced dead works against resistance). Always check when combination 4 governs. Leeward columns, anchorage in uplift, cantilevered walls, cladding connections
6 (1.2D+E+L) Seismic governs over wind. Compressive columns in seismic frames, tension foundations. SDC C–F lateral columns, concrete shear walls in compression, seismic regions
7 (0.9D+E) Seismic overturning / uplift. Critical for uplift on foundation bolts and hold-down anchors. Tension connections, overturning of shear walls, column base plates in seismic zones
Never check just one combination. A beam may be fine under combination 2 but fail under combination 3 due to heavy snow. A column that is compression-critical under combination 6 may be tension-critical under combination 7. Always envelope all applicable combinations.

4. Seismic Load Effect E — ASCE 7-22 §12.4

In combinations 6 and 7, the letter E expands into a horizontal component (Eh) and a vertical component (Ev). The sign of Ev depends on whether it adds to or reduces the effect of gravity.

ASCE 7-22 §12.4.2 — Seismic load effect E
US & SIE = Eh + Ev (when additive, combination 6)
US & SIE = Eh − Ev (when counteractive, combination 7)
ASCE 7-22 §12.4.2.1 — Horizontal seismic load effect
US & SIEh = ρ × QE
ρ = redundancy factor (1.0 or 1.3 — see §12.3.4)
QE = horizontal effects from seismic forces (from analysis)
ASCE 7-22 §12.4.2.2 — Vertical seismic load effect
US & SIEv = 0.2 × SDS × D

Expanding Combinations 6 and 7

Combination 6 — full expansion
US & SI(1.2 + 0.2SDS)D + ρQE + L + 0.2S
Combination 7 — full expansion
US & SI(0.9 − 0.2SDS)D + ρQE

Redundancy Factor ρ

ρ = 1.0 when…ρ = 1.3 when…
SDC B or C (always)
Structures with regular geometry and sufficient redundancy per §12.3.4
Drift and deformation checks
Nonlinear analyses
SDC D–F structures that do NOT meet the redundancy criteria of §12.3.4.2
ρ = 1.3 applies to members of the seismic force-resisting system only
SDS effect on gravity: The 0.2SDS factor increases the effective dead load in combination 6. For a high-seismicity site (SDS = 1.0g), the dead load factor becomes 1.2 + 0.2×1.0 = 1.4. For combination 7 the dead load factor becomes 0.9 − 0.2×1.0 = 0.7 — less than the usual 0.9, meaning seismic uplift is more critical.

5. Special Load Combinations (Overstrength) — ASCE 7-22 §12.4.3

Certain structural elements — transfer elements, columns below discontinuities, collectors, connections — must be designed for the full expected overstrength of the SFRS. These combinations use Emh (with Ωo) instead of Eh.

ASCE 7-22 §12.4.3 — Special combinations with overstrength
#6s(1.2 + 0.2SDS)D + Ωo×QE + L + 0.2S
#7s(0.9 − 0.2SDS)D + Ωo×QE
Ωo = overstrength factor from ASCE 7-22 Table 12.2-1 (2.0–3.0 depending on system).
Ωo×QE need not exceed the maximum force that can be delivered to the element.

Where Special Combinations Apply

6. ACI 318-25 vs ASCE 7-22 Notation Differences

ACI 318-25 §5.3 lists the same load combinations as ASCE 7-22 but with different notation. The load factors are identical — only the symbols and variable names differ.

ASCE 7-22 CombinationACI 318-25 §5.3 NotationNotes
1.4DU = 1.4DIdentical
1.2D + 1.6L + 0.5(Lr or S or R)U = 1.2D + 1.6L + 0.5(Lr or S or R)Identical; ACI uses U for factored demand
1.2D + 1.6(Lr or S or R) + (L or 0.5W)U = 1.2D + 1.6(Lr or S or R) + (L or 0.5W)Identical
1.2D + 1.0W + L + 0.5(Lr or S or R)U = 1.2D + 1.0W + L + 0.5(Lr or S or R)ACI: W is already factored wind from ASCE 7
0.9D + 1.0WU = 0.9D + 1.0WIdentical
1.2D + 1.0E + L + 0.2SU = 1.2D + 1.0E + L + 0.2SE = ρQE ± 0.2SDS×D per §12.4
0.9D + 1.0EU = 0.9D + 1.0EIdentical

Key ACI 318-25 Specific Notes

Wind factor change from ACI 318-14 → 318-19+: ACI 318-14 used a wind factor of 1.6W in some combinations (based on earlier ASCE 7 editions with unfactored nominal wind). ACI 318-19 and later use 1.0W because ASCE 7-10 and later incorporate the wind directionality factor Kd into the basic wind speed, making the factored load 1.0×(already-factored) ASCE 7 wind. Do not mix old and new editions.

7. Quick Application Guide

Step-by-Step for a Typical Member

  1. Identify applicable loads: Which of D, L, Lr/S/R, W, E act on this member? (Not all apply to every member.)
  2. Is seismic design required? SDC ≥ C → include combinations 6 and 7 with expanded E formula.
  3. Compute load effects (moments, shears, axials) for each load type separately using elastic analysis.
  4. Form factored demands by applying load factors from each combination to each load effect and summing. Use superposition for linear elastic analysis.
  5. Take the envelope: The critical combination is the one producing the largest required strength in each direction (positive moment, negative moment, shear, tension, compression).
  6. Check special combinations if the member is a collector, discontinuity element, or connection in an overstrength-required location.

Example — Gravity Beam in an Office Building

CombinationFactored Moment (kip-ft)Governs?
1 (1.4D): 1.4×60 = 8484No
2 (1.2D+1.6L): 1.2×60 + 1.6×50 = 152152Yes
3 (1.2D+1.6S+L): 1.2×60 + 1.6×20 + 50 = 154154Yes (barely)
4 (1.2D+W+L): 1.2×60 + 10 + 50 = 132132No

Combination 3 governs if snow load S = 20 psf is present. Design moment = 154 kip-ft.

US Standards Series — Complete

You've covered the full design workflow: standards ecosystem, materials, loads, seismic, and load combinations.

Preliminary design only. Load combinations must be applied with the exact edition of ASCE 7, ACI 318, and AISC 360 adopted by the local jurisdiction. Always verify with a licensed structural engineer.
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