Steel Allowable Stress Design — ASD Method & Tables
Allowable Stress Design (ASD) is one of two design methods recognized by AISC 360-22. ASD applies safety factors directly to the material strength to determine allowable stresses. The required strength from service loads must not exceed the allowable strength. This page provides allowable stress values and design guidance.
ASD vs LRFD
| Feature | ASD | LRFD |
|---|---|---|
| Load basis | Service (unfactored) loads | Factored loads |
| Safety factor | Single factor on strength | Separate factors for each load type |
| Safety factor applied to | Nominal strength | Load combinations |
| Design equation | Required ≤ Allowable (Rn/Ω) | Required ≤ φRn |
| Format | Ω = safety factor (1.5-2.0) | φ = resistance factor (0.65-1.0) |
| Load combinations | ASCE 7 ASD combos | ASCE 7 LRFD combos |
| Best for | Gravity-dominated, predictable loads | Variable loads, combinations of different load types |
AISC 360-22 permits both methods. The specification is "side by side" with LRFD and ASD values given together.
ASD Load Combinations (ASCE 7-22)
- D (dead only)
- D + L (dead + live)
- D + (Lr or S or R) (dead + roof/snow/rain)
- D + 0.75L + 0.75(Lr or S or R)
- D + 0.75L + 0.75(0.6W) + 0.75(Lr or S or R)
- D + 0.6W (dead + wind)
- 0.6D + 0.6W (minimum dead + wind, uplift check)
- D + 0.75L + 0.75(0.7E) + 0.75S (dead + live + seismic + snow)
- 0.6D + 0.7E (minimum dead + seismic)
where D = dead, L = live, Lr = roof live, S = snow, R = rain, W = wind, E = seismic.
Allowable Stresses
Flexure (Bending)
| Condition | Allowable Stress | Ω |
|---|---|---|
| Compact sections, yielding | Fb = 0.60Fy (laterally supported) | 1.67 |
| Compact sections, lateral-torsional buckling | Per Chapter F curves / 1.67 | 1.67 |
| Noncompact sections | Fb = 0.60Fy (with flange local buckling check) | 1.67 |
| Round HSS | Fb = 0.60Fy (with local buckling check) | 1.67 |
For A992 (Fy = 50 ksi): Fb = 0.60 × 50 = 30 ksi
Shear
| Condition | Allowable Stress | Ω |
|---|---|---|
| Webs of rolled shapes (h/tw ≤ 2.24√(E/Fy)) | Fv = 0.40Fy | 1.5 (post-yield) or 1.67 |
| Webs with tension field action | Higher per G3 | 1.67 |
| Shear in bolts | Fv per Table J3.2 | Varies |
For A992: Fv = 0.40 × 50 = 20 ksi
Compression
| Condition | Allowable Stress | Ω |
|---|---|---|
| Short columns (low KL/r) | Fa ≈ 0.50Fy (approaches yield) | 1.67 |
| Long columns (high KL/r) | Fa ≈ π²E / (Ω(KL/r)²) | 1.67 |
| Intermediate columns | Transition curve per Chapter E | 1.67 |
The ASD allowable compressive stress follows the same column curve as LRFD, divided by Ω = 1.67.
Tension
| Condition | Allowable Stress | Ω |
|---|---|---|
| Yielding on gross section | Ft = 0.60Fy | 1.67 |
| Fracture on net section | Ft = 0.50Fu | 2.0 |
For A992: Yielding Ft = 30 ksi on Ag; Fracture Ft = 32.5 ksi on An
Allowable Stresses for Bolts
| Bolt Type | Loading | Allowable Stress (ksi) | Condition |
|---|---|---|---|
| A325 (bearing, threads included) | Shear | 21 | Standard holes |
| A325 (bearing, threads excluded) | Shear | 30 | Standard holes |
| A325 (slip-critical) | Shear | Per J3.8 | Class A or B faying surface |
| A325 | Tension | 44 | No prying |
| A490 (bearing, threads included) | Shear | 28 | Standard holes |
| A490 (bearing, threads excluded) | Shear | 40 | Standard holes |
| A490 | Tension | 54 | No prying |
| A307 | Shear | 10 | Standard holes |
Values per AISC Table J3.2 (ASD column).
Allowable Weld Stresses
| Weld Type | Loading | Allowable Stress |
|---|---|---|
| Fillet weld (E70XX) | Shear on throat | 21 ksi (0.3 × 70 / 1.0) |
| Groove weld (complete joint penetration) | Tension or compression | Same as base metal |
| Groove weld (partial joint penetration) | Shear | 0.3 × FEXX / Ω |
| Plug/slot weld | Shear | 0.3 × FEXX / Ω |
For E70XX fillet welds: Fw = 0.3 × 70 / 1.0 = 21 ksi on the effective throat.
Combined Stress Checks (ASD)
Combined Bending and Compression (Chapter H)
(fa/Fa) + (fbx/Fbx + fby/Fby) ≤ 1.0 (simplified)
where fa = axial stress, fb = bending stress, F = corresponding allowable stress.
More accurately, use the AISC interaction equations H1.1a/H1.1b adapted for ASD.
Combined Shear and Tension in Bolts
Bolts subject to combined shear and tension must satisfy:
[(fv/Fv)² + (ft/Ft)²] ≤ 1.0 (elliptical interaction)
where fv and ft are required shear and tension stresses, Fv and Ft are allowable values.
ASD Safety Factors Summary
| Limit State | Ω (ASD) | φ (LRFD Equivalent) | φ × 1.5 ≈ Ω |
|---|---|---|---|
| Flexural yielding | 1.67 | 0.90 | 1.35 (≈1.5×0.9) |
| Shear yielding | 1.50 | 1.00 | 1.50 |
| Compression | 1.67 | 0.90 | 1.35 |
| Tension (yield) | 1.67 | 0.90 | 1.35 |
| Tension (fracture) | 2.00 | 0.75 | 1.50 |
| Bolt shear | 2.00 | 0.75 | 1.50 |
| Bolt tension | 2.00 | 0.75 | 1.50 |
| Weld shear | 2.00 | 0.75 | 1.50 |
| Bearing | 2.00 | 0.75 | 1.50 |
The ASD safety factor Ω ≈ 1.5/φ is approximately the inverse of the LRFD resistance factor scaled by 1.5 (the typical LRFD-to-ASD load ratio).
Frequently Asked Questions
Is ASD still allowed by AISC? Yes. AISC 360-22 fully supports both ASD and LRFD. Both methods are presented side-by-side throughout the specification. Either method may be used for any project.
When should I use ASD instead of LRFD? ASD is commonly used for simple gravity-dominated structures, renovation of existing buildings (matching original design method), and by engineers who prefer the direct comparison of actual stresses to allowable values. LRFD is more efficient for structures with highly variable loads (wind, seismic, crane).
How do ASD and LRFD results compare? For gravity-only loading, ASD and LRFD typically produce designs within 5-10% of each other. For combinations involving wind or seismic loads, LRFD can produce lighter designs because the load factors are calibrated to the variability of each load type.
What is the allowable bending stress for A992 steel? Fb = 0.60 × 50 = 30 ksi for compact sections with adequate lateral support. If lateral-torsional buckling controls, the allowable stress is lower per Chapter F.
What is the allowable shear stress? Fv = 0.40Fy for webs of rolled shapes (h/tw ≤ 2.24√(E/Fy)). For A992, Fv = 20 ksi. This corresponds to Ω = 1.50.
Related Pages
- Load Combinations — ASCE 7 load combination generator
- Beam Capacity Calculator — Flexural and shear checks
- Column Capacity — Compression member design
- Bolted Connections — Bolt capacity calculator
- Steel Yield Strength — Fy values by grade
Disclaimer
This is a calculation tool, not a substitute for professional engineering certification. All results must be independently verified by a licensed Professional Engineer (PE) or Structural Engineer (SE) before use in construction, fabrication, or permit documents. The user is responsible for the accuracy of all inputs and the verification of all outputs.