------------------ | ------------------------------------ | ---------------------------------------------------- | | 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)

  1. D (dead only)
  2. D + L (dead + live)
  3. D + (Lr or S or R) (dead + roof/snow/rain)
  4. D + 0.75L + 0.75(Lr or S or R)
  5. D + 0.75L + 0.75(0.6W) + 0.75(Lr or S or R)
  6. D + 0.6W (dead + wind)
  7. 0.6D + 0.6W (minimum dead + wind, uplift check)
  8. D + 0.75L + 0.75(0.7E) + 0.75S (dead + live + seismic + snow)
  9. 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.

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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.

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Frequently Asked Questions

What is the recommended design procedure for this structural element?

The standard design procedure follows: (1) establish design criteria including applicable code, material grade, and loading; (2) determine loads and applicable load combinations; (3) analyze the structure for internal forces; (4) check member strength for all applicable limit states; (5) verify serviceability requirements; and (6) detail connections. Computer analysis is recommended for complex structures, but hand calculations should be used for verification of critical elements.

How do different design codes compare for this calculation?

AISC 360 (US), EN 1993 (Eurocode), AS 4100 (Australia), and CSA S16 (Canada) follow similar limit states design philosophy but differ in specific resistance factors, slenderness limits, and partial safety factors. Generally, EN 1993 uses partial factors on both load and resistance sides (γM0 = 1.0, γM1 = 1.0, γM2 = 1.25), while AISC 360 uses a single resistance factor (φ). Engineers should verify which code is adopted in their jurisdiction.