Story drifts shall be limited per the applicable building code.
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Beam | Flexure | Deformation | Ordinary |
| Beam | Shear | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Axial | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Flexure | Deformation | Ordinary |
| Column with PG/Pye > 0.6 | Axial, flexure | Force | Critical |
| Column | Shear | Force | Critical |
| Panel zone | Shear | Deformation | Ordinary |
| Column base | Flexure | Deformation | Ordinary |
| Column base | Axial, shear | Force | Critical |
axial force component of the gravity load, kips (N)
expected axial yield strength, kips (N)
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Beam | Flexure | Deformation | Ordinary |
| Beam | Axial, shear | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Axial | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Flexure | Deformation | Ordinary |
| Column with PG/Pye > 0.6 | Axial, flexure | Force | Critical |
| Column | Shear | Force | Critical |
| Brace | Axial | Deformation | Ordinary |
| Brace connection | Axial | Force | Critical |
| Brace connection | Flexure | Force or deformation | Critical |
| Panel zone | Shear | Deformation | Ordinary |
| Column base | Flexure | Deformation | Ordinary |
| Column base | Axial, shear | Force | Critical |
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Beam | Axial, flexure | Force | Ordinary |
| Beam | Shear | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Axial | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Flexure | Deformation | Ordinary |
| Column with PG/Pye > 0.6 | Axial, flexure | Force | Critical |
| Column | Shear | Force | Critical |
| Brace | Axial | Force | Critical |
| Brace connection | Axial | Force | Critical |
| Link | Shear, flexure | Deformation | Ordinary |
| Link | Axial | Force | Critical |
| Link connection | Flexure, shear, axial | Force | Critical |
| Panel zone | Shear | Deformation | Ordinary |
| Column base | Flexure | Deformation | Ordinary |
| Column base | Axial, shear | Force | Critical |
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Beam | Flexure | Deformation | Ordinary |
| Beam | Shear | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Axial | Force | Critical |
| Column with PG/Pye ≤ 0.6 | Flexure | Deformation | Ordinary |
| Column with PG/Pye > 0.6 | Axial, flexure | Force | Critical |
| Column | Shear | Force | Critical |
| Brace | Axial | Deformation | Ordinary |
| Brace connection | Axial | Force | Critical |
| Panel zone | Shear | Deformation | Ordinary |
| Column base | Flexure | Deformation | Ordinary |
| Column base | Axial, shear | Force | Critical |
| Requirements for Special Plate Shear Walls (SPSW) | |||
|---|---|---|---|
| Item | Action | Force- or Deformation- Controlled | Criticality |
| HBE | Flexure | Deformation | Ordinary |
| HBE | Shear | Force | Critical |
| VBE (midspan) | Axial, flexure | Force | Critical |
| VBE at connection with P<small>G</small>/P<small>ye</small> ≤ 0.6 | Axial | Force | Ordinary |
| VBE at connection with P<small>G</small>/P<small>ye</small> ≤ 0.6 | Flexure | Deformation | Ordinary |
| VBE at connection with P<small>G</small>/P<small>ye</small> > 0.6 | Axial, flexure | Force | Critical |
| VBE | Shear | Force | Critical |
| Panel zone | Shear | Deformation | Ordinary |
| VBE base | Flexure | Deformation | Ordinary |
| VBE base | Axial, shear | Force | Critical |
| HBE = horizontal boundary elements VBE = vertical boundary elements | |||
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Beam | Flexure | Deformation | Ordinary |
| Beam | Shear | Force | Critical |
| Wall | Axial, flexure | Deformation | Critical |
| Wall | Shear | Force | Critical |
| Wall-to-foundation connection | Axial, shear, flexure | Force | Critical |
| Item | Action | Force- or Deformation- Controlled | Criticality |
|---|---|---|---|
| Gravity connection | Shear | Force | Critical |
| Gravity connection | Flexure | Deformation[a] | Ordinary |
| [a] The gravity connection shall be designed to maintain its required shear strength under the imposed flexural deformations. | |||
COMMENTARY on the Seismic Provisions for Structural Steel Buildings
September 26, 2022
(The Commentary is not part of ANSI/AISC 341-22, Seismic Provisions for Structural Steel Buildings, and is included for informational purposes only.)
INTRODUCTION
The Provisions are intended to be complete for normal design usage.
The Commentary furnishes background information and references for the benefit of the design professional seeking further understanding of the basis, derivations, and limits of the Provisions.
The Provisions and Commentary are intended for use by design professionals with demonstrated engineering competence.
COMMENTARY SYMBOLS
The Commentary uses the following symbols in addition to the symbols defined in the Provisions. The section number in the right-hand column refers to the Commentary section where the symbol is first used.
| Symbol | Definition | Section |
|---|---|---|
| A | Area of the equivalent tension brace, in.2 (mm2) | .F5.3 |
| Abi | Horizontal boundary element cross-sectional area for story i, in.2 (mm2) | .F5.3 |
| Acp | Area of the concrete core engaged in the panel zone, in.2 (mm2) | D2.7 |
| AHSS | Cross-sectional area of a half-circular or full-circular section used at wall end, in.2 (mm2) | H7.6a |
| As | Area of a strip, in.2 (mm2) | .F5.6c |
| Aw | Area of steel section assumed to resist shear, which is typically the area of the steel web, in.2 (mm2) | H4.3 |
| B | Amplification factor | .F5.3 |
| B1 | Amplification factor | F2.4e |
| C | Depth of cross section subjected to yield compressive stress, in. (mm) | H7.6a |
| Cd | Deflection amplification factor | B2 |
| Cexp | Expected buckling strength, kips (N) | F2.4e |
| C'exp | Expected post-buckling strength, kips (N) | .F2.4e |
| E | Elastic modulus of concrete, ksi (MPa) | .C1 |
| Fi | Applied lateral seismic load at each story to cause the plastic collapse mechanism, kips (N) | .F5.3 |
| Fy,HSS | Specified minimum yield stress of the half-circular or full-circular end section, ksi (MPa) | H7.6a |
| Fyp | Infill plate yield stress, ksi (MPa) | .F5.5c |
| Fysc | Actual yield stress of steel core as determined from a coupon test, ksi (MPa) | .F4.2b |
| Fy,web | Specified minimum yield stress of the web, ksi (MPa) | H7.6a |
| H | Height of panel, in. (mm) | .F5.6c |
| Hi | Height from base to each story, in. (mm) | .F5.3 |
| I | Moment of inertia of steel coupling beam, in.4 (mm4) | H4.3 |
| Ig | Gross moment of inertia, in.4 (mm4) | .C1 |
| Is | Moment of inertia of bare steel beam, in.4 (mm4) | .C1 |
| Itr | Transformed moment of inertia of the beam and slab, in.4 (mm4) | .C1 |
| L | Distance between column centerlines, in. (mm) | .E3.4a |
| L | Distance between vertical boundary element centerlines, in. (mm) | .F5.3 |
| L | Bay width, in. (mm) | .F5.3 |
| L | Width of panel, in. (mm) | .F5.6c |
| L | Distance between the centroids of wall piers, in. (mm) | H4.5b |
| Lb | Horizontal boundary element span, in. (mm) | F5.5c |
| Symbol | Definition | Section |
|---|---|---|
| Lh | Distance between beam plastic hinges, in. (mm) | E3.4a |
| M | Link end moment, kip-in. (N-mm) | F3.5b |
| Mf | Beam moment at face of column when the beam has achieved the maximum probable moment at the plastic hinge, Mpr, kip-in. (N-mm) | E3.6e.1 |
| Mp | Plastic moment of the beam or column at the point of intersection with the knee brace, kip-in. (N-mm) | E1.2 |
| Mpb | Nominal flexural strength of beam, kip-in. (N-mm) | E3.4a |
| M*pb | Plastic moment of a beam in the out-of-plane frame at the joint under consideration, kip-in. (N-mm) | E3.3 |
| M**pb(j) | Projection of the nominal flexural strength of the beam to the centerline of the column, kip-in. (N-mm) | E3.4a |
| Mpc | Plastic moment of the column, kip-in. (N-mm) | D2.5c |
| M*pc | Nominal flexural strength of column, kip-in. (N-mm) | E3.4a |
| M*pc | Plastic moment of wall cross section, kip-in. (N-mm) | H7.2 |
| M*pc(i) | Projection of the nominal flexural strength of the column to the centerline of the beam, kip-in. (N-mm) | E3.4a |
| Mpcx | Strong-axis plastic moment, kip-in. (N-mm) | E3.3 |
| M*pcx | Plastic moment of the column in the plane of frame under consideration, kip-in. (N-mm) | E3.3 |
| Mpcy | Weak-axis plastic moment, kip-in. (N-mm) | E3.3 |
| Mpr | Probable moment, kip-in. (N-mm) | E3.3 |
| MPRe | Expected flexural strength of the PR connections framing into the joint, kip-in. (N-mm) | G4.4 |
| Mprli, Mprri | Moments from plastic hinging of horizontal boundary element, kip-in. (N-mm) | F5.3 |
| Mr | Required overturning moment at the base of the wall corresponding to the force, Vu, kip-in. (N-mm) | F5.3 |
| My | Required out-of-plane flexural strength of the column taking into account all potential yielding beams that may contribute to the applied moment, kip-in. (N-mm) | E3.3 |
| My | Flexural yield strength, kip-in. (N-mm) | H7.5a |
| Pbli, Pbri | Axial forces from horizontal boundary element, kips (N) | F5.3 |
| Pmax | Maximum compression force, kips (N) | F4.2b |
| Psi | Analysis return spring force, kips (N) | F5.3 |
| Pw | Axial forces acting in the walls, kips (N) | H8.3c |
| Py | Axial yield strength of the link, kips (N) | F3.5b.2 |
| Pysc | Required capacity of BRB, kips (N) | F4.4d |
| R | Seismic response modification coefficient | A1 |
| Rbs | Pin-support reaction from a vertical boundary element model, kips (N) | F5.3 |
| Ru | LRFD required shear strength of the panel zone, kips (N) | E3.6e.1 |
| S | Elastic section modulus, in.3 (mm3) | D2.5b |
| Texp | Expected yield strength, kips (N) | F2.4e |
| Tmax | Maximum tension force within the deformations corresponding to 200% of the design earthquake displacement, kips (N) | F4.2b |
| Symbol | Definition | Section |
|---|---|---|
| V | Link beam shear, kips (N) | F3.5b |
| Vbl | Shear force at left end of all horizontal boundary elements, kips (N) | F5.3 |
| Vbr | Shear force at right end of all horizontal boundary elements, kips (N) | F5.3 |
| Vcol | Shear force in the portion of the column outside of the panel zone that occurs when the beams have achieved their probable maximum moment, kips (N) | E3.6e.1 |
| Ve | Expected vertical shear strength of the special segment, kips (N) | E4.5c |
| Ve | Expected shear strength, at the base of the wall, determined for the web thickness supplied, kips (N) | F5.3 |
| V'exp | Brace story shear determined with the brace expected post-buckling compressive strength, kips (N) | F2.4e |
| Vr | Required shear strength at the base of the wall, kips (N) | F5.3 |
| Vst | Shear strength contribution of the filled composite column calculated using Specification Section I4.2, kips (N) | D2.7 |
| Vwn | Shear strength contribution of the web of the steel beam in through-beam connections calculated using Specification Equation G2-1, kips (N) | D2.7 |
| Zx | Plastic section modulus of the column in the plane of the frame under consideration, in.3 (mm3) | E3.3 |
| Zxbi | Horizontal boundary element plastic section modulus for story i, in.3 (mm3) | F5.3 |
| Zy | Plastic section modulus of the column out of plane of the frame under consideration, in.3 (mm3) | E3.3 |
| a | One-half of the effective span of a coupling beam, in. (mm) | H4.5b |
| b | Depth of the steel web, in. (mm) | H7.6a |
| bf | Width of column flange, in. (mm) | E3.6f.1 |
| bw | Effective shear width in. (mm) | D1.4b |
| db | Depth of brace, in. (mm) | F2.5c |
| dc | Depth of column, in. (mm) | E3.6f.1 |
| dHSS | Diameter of HSS, in. (mm) | H7.6a |
| din | Inner diameter of the half-circular or full-circular end section, in. (mm) | H7.6a |
| geffective | Effective span of the equivalent fixed-end beam used for analysis, in. (mm) | H4.3 |
| h | Story height, in. (mm) | F3.4a |
| h' | Width of wall, in. (mm) | H5.5b |
| hi | Story height from centerline of beam to centerline of beam, in. (mm) | E3.4a |
| h'i | Clear height between beams, in. (mm) | E3.4a |
| kbi | Horizontal boundary element spring stiffness at each story i, kip/in. (N/mm) | F5.3 |
| n | Number of strips per panel; taken greater than or equal to 10 | F5.6c |
| n | Number of coupling beams along the structure height | H8.3c |
| tc | Thickness of concrete, in. (mm) | H7.6a |
| tdp | Full doubler plate thickness, in. (mm) | E3.6e.3 |
| tpi | Infill plate thickness, in. (mm) | F5.5c |
| Symbol | Definition | Section |
|---|---|---|
| ts | Thickness of steel plate, in. (mm). | H7.6a |
| twi | Web thickness at level i, in. (mm) .. | .F5.3 |
| x | Distance between intersection of beam and brace centerlines, in. (mm) | F3.5b.1 |
| Abm | Brace deformation at the design earthquake displacement, in. (mm) ……….. | K3.4 |
| Aby | Brace yield deformation, in. (mm) | K3.4 |
| Dp | Plastic story drift, in. (mm) | .F3.4a |
| Ως | System overstrength factor, as defined by FEMA 369 | .F5.3 |
| Χρ | Plastic link rotation angle, rad | .F3.4a |
| Ꮎ | Angle between the vertical and the longitudinal axis of the equivalent diagonal brace, degrees | .F5.3 |
| ed | Story drift angle, computed as the story drift divided by the story height, rad | H4.5b |
| Op | Plastic story drift angle, rad | .F3.4a |
| λ | Cross-section shape factor for shear | H4.3 |
| Χρ | Limiting width-to-thickness ratio for compact compression elements | D1.1b |
| Wo | Wall overstrength factor | H5.4 |
| @xbi, @ybi | Distributed loads to be applied to the horizontal boundary element from plate yielding on each story i, kip/in. (N/mm).. | .F5.3 |
| @xci, @yci | Distributed loads to be applied to the vertical boundary element from plate yielding on story i, kipin. (N/mm). | .F5.3 |
| Wybi | Vertical component of infill plate stress, kip/in. (N/mm) | .F5.5c |