AISCAISC 360-22
Front Matter

Symbols

PDF page 11 · AISC 360-22

Definitions for the symbols used in this standard are provided here and reflect the defini- tions provided in the body of this standard. Some symbols may be used and defined multiple times throughout the document. The section or table number shown in the right-hand column of the list identifies the first time the symbol is used in this document. Symbols without text definitions are omitted.

SymbolDefinitionSection
ABMArea of the base metal, in.² (mm²)J2.4
AbNominal unthreaded body area of bolt or threaded part, in.² (mm²)J3.7
AbNominal body area of undriven rivet, in.² (mm²)App. 5.3.2a
AcArea of concrete, in.² (mm²)I1.5
AcArea of concrete slab within effective width, in.² (mm²)I3.2d
AcArea of concrete infill, in.² (mm²)I4.2
AeEffective net area, in.² (mm²)D2
AeSummation of the effective areas of the cross section based on reduced effective widths, be, de, or he, or the area as given by Equation E7-6 or E7-7, in.² (mm²)E7
AeEffective area, in.² (mm²)E7.2
AfcArea of compression flange, in.² (mm²)G2.2
AfgGross area of tension flange, calculated in accordance with Section B4.3a, in.² (mm²)F13.1
AfnNet area of tension flange, calculated in accordance with Section B4.3b, in.² (mm²)F13.1
AftArea of tension flange, in.² (mm²)G2.2
AgGross area of angle, in.² (mm²)F10.2
AgGross area of member, in.² (mm²)B4.3a
AgGross area of eyebar body, in.² (mm²)D6.1
AgGross area of composite member, in.² (mm²)I2.1a
AgGross cross-sectional area of member, in.² (mm²)K1.1
AgvGross area subjected to shear, in.² (mm²)J4.2
AnNet area of member, in.² (mm²)B4.3b
AnArea of directly connected elements, in.² (mm²)Table D3.1
AntNet area subjected to tension, in.² (mm²)J4.3
AnvNet area subjected to shear, in.² (mm²)J4.2
ApbProjected area in bearing, in.² (mm²)J7
AsArea of steel section, in.² (mm²)I1.5
AsCross-sectional area of structural steel section, in.² (mm²)I2.1b
AsCross-sectional area of column, in.² (mm²)App. 4.3.2a
AsaCross-sectional area of steel headed stud anchor, in.² (mm²)I8.2a
AsfArea on the shear failure path, in.² (mm²)D5.1
AsrArea of continuous longitudinal reinforcing bars, in.² (mm²)I2.1a
AsrArea of developed longitudinal reinforcing steel within the effective width of the concrete slab, in.² (mm²)I3.2d.2
SymbolDefinitionSection
AswArea of steel plates in the direction of in-plane shear, in.2 (mm2) I1.5
ATNominal forces and deformations due to the design-basis fire defined in Section 4.2.1 .App. 4.1.4
AtNet area in tension, in.2 (mm2) App. 3.4
AvShear area of the steel portion of a composite member, in.2 (mm2) I4.2
AwArea of web, the overall depth times the web thickness, dtw, in.2 (mm2). . G2.1
AwArea of web or webs, taken as the sum of the overall depth times the web thickness, dtw, in.2 (mm2) G4
AweEffective area of the weld, in.2 (mm2) J2.4
AwelEffective area of longitudinally loaded fillet welds, in.2 (mm2) J2.4
AwetEffective area of transversely loaded fillet welds, in.2 (mm2) J2.4
A1Loaded area of concrete, in.2 (mm2) I6.3a
A1Area of steel concentrically bearing on a concrete support, in.2 (mm2) J8
A2Maximum area of the portion of the supporting surface that is geometrically similar to and concentric with the loaded area, in.2 (mm2) J8
BOverall width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm) Table D3.1
BOverall width of rectangular HSS chord member, measured 90° to the plane of the connection, in. (mm) K1.1
BbFlange width of rectangular cross section, in. (mm) App. 2.1.4
BbOverall width of rectangular HSS branch member or plate, measured 90° to the plane of the connection, in. (mm) K1.1
BeEffective width of rectangular HSS branch member or plate for local yielding of the transverse element, in. (mm) K1.1
BepEffective width of rectangular HSS branch member or plate for punching shear, in. (mm) K1.1
B1Multiplier to account for P-δ effects App. 8.1.1
B2Multiplier to account for P-Δ effects App. 8.1.1
CHSS torsional constant, in.3 (mm3) H3.1
CCompressive force due to unfactored dead load and live load, kips (kN) App. 4.3.2b
CbLateral-torsional buckling modification factor for nonuniform moment diagrams when both ends of the segment are braced F1
CfConstant from Table A-3.1 for the fatigue category App. 3.3
CmEquivalent uniform moment factor, assuming no relative translation of member ends App. 8.1.2
CrReduction factor for shear rupture on pin-connected members D5.1
Cv1Web shear strength coefficient G2.1
Cv2Web shear buckling coefficient G2.2
CwWarping constant, in.6 (mm6) E4
C1Coefficient for calculation of effective rigidity of encased composite compression member I2.1b
C1, C2, C3, C4Material dependent constants prescribed in specified rated assembly App. 4.3.2a
C2Edge distance increment, in. (mm) Table J3.5
SymbolDefinitionSection
C3Coefficient for calculation of effective rigidity of filled composite compression memberI2.2b
DNominal dead load, kips (N)B3.9
DWidth of stiffened element, taken as the outside diameter of round HSS, in. (mm)B4.1b
DOutside diameter of round HSS, in. (mm)Table D3.1
DOutside diameter of round HSS chord member, in. (mm)K1.1
DHeated perimeter of the beam, in. (mm). App. 4.3.2b
DHeated perimeter of the column, in. (mm)App. 4.3.2a
DInside heated perimeter of the gypsum board, in. (mm)App. 4.3.2a
DOutside diameter for circular columns, outside dimension for square columns, or least outside dimension for rectangular columns, in. (mm)App. 4.3.2b
DNominal dead load ratingApp. 5.4.2
DbOutside diameter of round HSS branch member, in. (mm)K1.1
DuA multiplier that reflects the ratio of the mean installed bolt pretension to the specified minimum bolt pretensionJ3.9
D1Heated perimeter of substitute beam or girder, in. (mm). App. 4.3.2c
EModulus of elasticity of steel = 29,000 ksi (200 000 MPa)Table B4.1a
E(T)Modulus of elasticity of steel at elevated temperature, ksi (MPa)App. 4.2.3b
EcModulus of elasticity of concrete = wc1.5 √f'c, ksi (0.043wc1.5 √f'c MPa).I1.5
Ec(T)Modulus of elasticity of concrete at elevated temperature, ksi (MPa)App. 4.2.3b
EsModulus of elasticity of steel = 29,000 ksi (200 000 MPa)I1.5
(EI)effEffective stiffness of composite section, kip-in.2 (N-mm2)I2.1b
F(T)Engineering stress at elevated temperature, ksi (MPa)App. 4.2.3b
FcAvailable stress in chord member, ksi (MPa)K1.1
Fc(T)Concrete compressive stress, ksi (MPa)App. 4.2.3b
FcaAvailable axial stress at the point of consideration, determined in accordance with Chapter E for compression or Section D2 for tension, ksi (MPa)H2
Fcbw, FcbzAvailable flexural stress at the point of consideration, determined in accordance with Chapter F, ksi (MPa)H2
FcrCritical stress, ksi (MPa)F2.2
FcrLateral-torsional buckling stress for the section as determined by analysis, ksi (MPa)F12.2
FcrLocal buckling stress for the section as determined by analysis, ksi (MPa)F12.3
FcrBuckling stress for the section as determined by analysis, ksi (MPa)H3.3
FeElastic buckling stress, ksi (MPa)E3
FelElastic local buckling stress determined according to Equation E7-5 or an elastic local buckling analysis, ksi (MPa)E7.1
FEXXFiller metal classification strength, ksi (MPa)Table J2.5
FinNominal bond stress, ksi (MPa)I6.3c
SymbolDefinitionSection
FLF_{L}Nominal compression flange stress above which the inelastic buckling limit states apply, ksi (MPa)F4.2
FnF_{n}Nominal stress, ksiE3
FnF_{n}Critical buckling stress for structural steel section of filled composite members, ksi (MPa)I2.2b
FnF_{n}Nominal tensile stress, FntF_{nt}, or shear stress, FnvF_{nv}, from Table J3.2, ksi (MPa)J3.7
FnBMF_{nBM}Nominal stress of the base metal, ksi (MPa)J2.4
FntF_{nt}Nominal tensile stress from Table J3.2, ksi (MPa)J3.7
FntF_{nt}Nominal tensile strength of the driven rivet from Table A-5.3.1, ksi (MPa)App. 5.3.2a
Fnt(T)F_{nt}(T)Nominal tensile strength of the bolt, ksi (MPa)App. 4.2.3b
FntF'_{nt}Nominal tensile stress modified to include the effects of shear stress, ksi (MPa)J3.8
FnvF_{nv}Nominal shear stress from Table J3.2, ksi (MPa)J3.7
FnvF_{nv}Nominal shear strength of the driven rivet from Table A-5.3.1, ksi (MPa)App. 5.3.2a
Fnv(T)F_{nv}(T)Nominal shear strength of the bolt, ksi (MPa)App. 4.2.3b
FnwF_{nw}Nominal stress of the weld metal, ksi (MPa)J2.4
Fp(T)F_{p}(T)Proportional limit at elevated temperatureApp. 4.2.3b
FSRF_{SR}Allowable stress range, ksi (MPa)App. 3.3
FTHF_{TH}Threshold allowable stress range, maximum stress range for indefinite design life from Table A-3.1, ksi (MPa)App. 3.3
FuF_{u}Specified minimum tensile strength, ksi (MPa)D2
FuF_{u}Specified minimum tensile strength of a steel headed stud anchor, ksi (MPa)I8.2a
FuF_{u}Specified minimum tensile strength of the connected material, ksi (MPa)J3.11
FuF_{u}Specified minimum tensile strength of HSS chord member material, ksi (MPa)K1.1
Fu(T)F_{u}(T)Specified minimum tensile strength at elevated temperature, ksi (MPa)App. 4.2.3b
FubF_{ub}Specified minimum tensile strength of HSS branch member material, ksi (MPa)K1.1
FyF_{y}Specified minimum yield stress, ksi (MPa). As used in this Specification, "yield stress" denotes either the specified minimum yield point (for those steels that have a yield point) or specified yield strength (for those steels that do not have a yield point)Table B4.1a
FyF_{y}Specified minimum yield stress of the type of steel being used, ksi (MPa)E3
FyF_{y}Specified minimum yield stress of the column web, ksi (MPa)J10.6
FyF_{y}Specified minimum yield stress of HSS chord member material, ksi (MPa)K1.1
FyF_{y}Specified minimum yield stress of the compression flange, ksi (MPa)App. 8.2
SymbolDefinitionSection
Fy(T)F_y(T)Specified minimum yield stress of steel at elevated temperature, ksi (MPa)App. 4.2.3b
FybF_{yb}Specified minimum yield stress of HSS branch member or plate material, ksi (MPa)K1.1
FyfF_{yf}Specified minimum yield stress of the flange, ksi (MPa)J10.1
FysrF_{ysr}Specified minimum yield stress of reinforcing steel, ksi (MPa)I2.1b
FystF_{yst}Specified minimum yield stress of the stiffener material, ksi (MPa)G2.4
FywF_{yw}Specified minimum yield stress of the web material, ksi (MPa)G2.3
Fy,maxF_{y,max}Maximum permitted yield stress of steel, ksi (MPa)App. 2.1.4
GGShear modulus of elasticity of steel = 11,200 ksi (77 200 MPa)E4
G(T)G(T)Shear modulus of elasticity of steel at elevated temperature, ksi (MPa)App. 4.2.3b
GcG_cShear modulus of concrete = 0.4Ec0.4E_c, ksi (MPa)I1.5
GsG_sShear modulus of steel = 11,200 ksi (77 200 MPa), ksi (MPa)I1.5
HHOverall height of rectangular HSS member, measured in the plane of the connection, in. (mm) TableD3.1
HHFlexural constantE4
HHMaximum transverse dimension of rectangular steel member, in. (mm)I6.3c
HHOverall height of rectangular HSS chord member, measured in the plane of the connection, in. (mm)K1.1
HHWeb depth of rectangular cross section, in. (mm)App. 2.1.4
HHAmbient temperature thermal capacity of the steel column, Btu/ft-^{\circ}F (kJ/m-K)App. 4.3.2a
HHTotal story shear, in the direction of translation being considered, produced by the lateral forces used to compute ΔH\Delta_H, kips (N)App. 8.1.3
HbH_bOverall height of rectangular HSS branch member, measured in the plane of the connection, in. (mm)K1.1
IIMoment of inertia in the plane of bending, in.4^4 (mm4^4)App. 8.1.2
IcI_cMoment of inertia of the concrete section about the elastic neutral axis of the composite section, in.4^4 (mm4^4)I1.5
IsI_sMoment of inertia of steel shape about the elastic neutral axis of the composite section, in.4^4 (mm4^4)I1.5
IsrI_{sr}Moment of inertia of reinforcing bars about the elastic neutral axis of the composite section, in.4^4 (mm4^4)I2.1b
IstI_{st}Moment of inertia of transverse stiffeners about an axis in the web center for stiffener pairs, or about the face in contact with the web plate for single stiffeners, in.4^4 (mm4^4)G2.4
Ist1I_{st1}Minimum moment of inertia of transverse stiffeners required for development of the full shear post buckling resistance of the stiffened web panels, Vr=Vc1V_r = V_{c1}, in.4^4 (mm4^4)G2.4
Ist2I_{st2}Minimum moment of inertia of transverse stiffeners required for development of web shear buckling resistance, Vr=Vc2V_r = V_{c2}, in.4^4 (mm4^4)G2.4
Ix,IyI_x, I_yMoment of inertia about the principal axes, in.4^4 (mm4^4)E4
IyI_yMoment of inertia about the y-axis, in.4^4 (mm4^4)F2.2
SymbolDefinitionSection
IyeffI_{yeff}Effective out-of-plane moment of inertia, in.4\text{in.}^4 (mm4)(\text{mm}^4)App. 6.3.2a
IycI_{yc}Moment of inertia of the compression flange about the yy-axis, in.4\text{in.}^4 (mm4)(\text{mm}^4)F4.2
IytI_{yt}Moment of inertia of the tension flange about the yy-axis, in.4\text{in.}^4 (mm4)(\text{mm}^4)App. 6.3.2a
JJTorsional constant, in.4\text{in.}^4 (mm4)(\text{mm}^4)E4
KKEffective length factorE2
KcK_cAmbient temperature thermal conductivity of the concrete, Btu/hr-ft-F\text{Btu/hr-ft-}^{\circ}\text{F} (W/m-K)(\text{W/m-K})App. 4.3.2a
KcK_cThermal conductivity of concrete or clay masonry unit, Btu/hr-ft-F\text{Btu/hr-ft-}^{\circ}\text{F} (W/m-K)(\text{W/m-K})App. 4.3.2a
KxK_xEffective length factor for flexural buckling about xx-axisE4
KyK_yEffective length factor for flexural buckling about yy-axisE4
KzK_zEffective length factor for torsional buckling about the longitudinal axisE4
LLNominal live load, kips (N)(\text{N})B3.9
LLLaterally unbraced length of member, in. (mm)(\text{mm})E2
LLLength of member between work points at truss chord centerlines, in. (mm)(\text{mm})E5
LLLength of member, in. (mm)(\text{mm})H3.1
LLLaterally unbraced length of element, in. (mm)(\text{mm})J4.4
LLNominal occupancy live load, kips (N)(\text{N})App. 4.1.4
LLInterior dimension of one side of a square concrete box protection, in. (mm)(\text{mm})App. 4.3.2a
LLNominal live load ratingApp. 5.4.2
LLLength of span, in. (mm)(\text{mm})App. 6.3.2a
LLHeight of story, in. (mm)(\text{mm})App. 7.3.2
LbL_bLength between points that are either braced against lateral displacement of compression flange or braced against twist of the cross section, in. (mm)(\text{mm})F2.2
LbL_bLaterally unbraced length of member, in. (mm)(\text{mm})F10.2
LbL_bLength between points that are either braced against lateral displacement of the compression region, or between points braced to prevent twist of the cross section, in. (mm)(\text{mm})F11.2
LbL_bLargest laterally unbraced length along either flange at the point of load, in. (mm)(\text{mm})J10.4
LbrL_{br}Unbraced length within the panel under consideration, in. (mm)(\text{mm})App. 6.2.1
LbrL_{br}Unbraced length adjacent to the point brace, in. (mm)(\text{mm})App. 6.2.2
LcL_cEffective length of member, in. (mm)(\text{mm})E2
LcL_cEffective length of member for buckling about the minor axis, in. (mm)(\text{mm})E5
LcL_cEffective length of built-up member, in. (mm)(\text{mm})E6.1
LcL_cColumn effective length, ft (mm)(\text{mm})App. 4.3.2b
LcxL_{cx}Effective length of member for buckling about xx-axis, in. (mm)(\text{mm})E4
LcyL_{cy}Effective length of member for buckling about yy-axis, in. (mm)(\text{mm})E4
LczL_{cz}Effective length of member for buckling about longitudinal axis, in. (mm)(\text{mm})E4
SymbolDefinitionSection
LclEffective length in the plane of bending, calculated based on the assumption of no lateral translation at the member ends, set equal to the laterally unbraced length of the member unless analysis justifies a smaller value, in. (mm). . App. 8.1.2
LinLoad introduction length, determined in accordance with Section I6.4, in. (mm) I6.3c
LpLimiting laterally unbraced length for the limit state of yielding, in. (mm) F2.2
LrLimiting laterally unbraced length for the limit state of inelastic lateral-torsional buckling, in. (mm) F2.2
LrNominal roof live load App. 5.4.2
LvDistance from maximum to zero shear force, in. (mm) G5
Lx, Ly, LzLaterally unbraced length of the member for each axis, in. (mm) E4
MAAbsolute value of moment at quarter point of the unbraced segment, kip-in. (N-mm) F1
MBAbsolute value of moment at centerline of the unbraced segment, kip-in. (N-mm) F1
MbrRequired flexural strength of the brace, kip-in. (N-mm) . . App. 6.3.2a
McAbsolute value of moment at three-quarter point of the unbraced segment, kip-in. (N-mm) F1
McAvailable flexural strength, φbMn or Mnb, determined in accordance with Chapter F, kip-in. (N-mm) H1.1
McDesign flexural strength, determined in accordance with Section I3, kip-in. (N-mm) I5
McAllowable flexural strength, determined in accordance with Section 13, kip-in. (N-mm) I5
Mc-ipAvailable strength for in-plane bending, kip-in. (N-mm)Table K4.1
Mc-opAvailable strength for out-of-plane bending, kip-in. (N-mm)Table K4.1
McrElastic lateral-torsional buckling moment, kip-in. (N-mm) F10.2
McxAvailable lateral-torsional strength for major-axis flexure determined in accordance with Chapter F using Cb = 1.0, kip-in. (N-mm) H1.3
McxAvailable flexural strength about x-axis for the limit state of tensile rupture of the flange, φbMn or Mnb, determined according to Section F13.1, kip-in. (N-mm) H4
Mcx, McyAvailable flexural strength, φbMn or Mnb, determined in accordance with Chapter F, kip-in. (N-mm) H3.2
MltFirst-order moment using LRFD or ASD load combinations, due to lateral translation of the structure only, kip-in. (N-mm) App. 8.1.1
MmaxAbsolute value of maximum moment in the unbraced segment, kip-in. (N-mm) F1
MmidMoment at middle of unbraced length, kip-in. (N-mm)App. 1.3.2c
MnNominal flexural strength, kip-in. (N-mm) F1
MnNominal flexural strength at ambient temperature calculated in accordance with provisions of Chapter I, kip-in. (N-mm) App. 4.2.4d
SymbolDefinitionSection
MnM_{n}Nominal flexural strength due to yielding at ambient temperature determined in accordance with the provisions in Section F2.1, kip-in. (N-mm)App. 4.2.4e
MntM_{nt}First-order moment using LRFD or ASD load combinations, with the structure restrained against lateral translation, kip-in. (N-mm)App. 8.1.1
MpM_{p}Plastic moment, kip-in. (N-mm)Table B4.1b
MpM_{p}Moment corresponding to plastic stress distribution over the composite cross section, kip-in. (N-mm)I3.4b
MpfM_{pf}Plastic moment of a section composed of the flange and a segment of the web with a depth, ded_{e}, kip-in. (N-mm)G2.3
MpmM_{pm}Smaller of MpfM_{pf} and MpstM_{pst}, kip-in. (N-mm)G2.3
MpstM_{pst}Plastic moment of a section composed of the end stiffener plus a length of web equal to ded_{e} plus the distance from the inside face of the stiffener to the end of the beam, except that the distance from the inside face of the stiffener to the end of the beam shall not exceed 0.84twE/Fy0.84t_{w}\sqrt{E/F_{y}} for calculation purposes, kip-in. (N-mm)G2.3
MrM_{r}Required flexural strength, determined in accordance with Chapter C, using LRFD or ASD load combinations, kip-in. (N-mm)H1.1
MrM_{r}Required flexural strength, determined in accordance with Section I1.5, using LRFD or ASD load combinations, kip-in. (N-mm)I5
MrM_{r}Required flexural strength using LRFD or ASD load combinations, kip-in. (N-mm)J10.4
MrM_{r}Required flexural strength of the beam within the panel under consideration, using LRFD or ASD load combinations, kip-in. (N-mm)App. 6.3.1a
MrM_{r}Largest of the required flexural strengths of the beam within the unbraced lengths adjacent to the point brace, using LRFD or ASD load combinations, kip-in. (N-mm)App. 6.3.1b
MrM_{r}Required second-order flexural strength using LRFD or ASD load combinations, kip-in. (N-mm)App. 8.1.1
MroM_{ro}Required flexural strength in the HSS chord member at a joint, on the side of joint with lower compression stress for round HSS and higher compression stress for rectangular HSS, kip-in. (N-mm)K1.3
Mr-ipM_{r\text{-}ip}Required in-plane flexural strength in branch using LRFD or ASD load combinations, kip-in. (N-mm)Table K4.1
Mr-opM_{r\text{-}op}Required out-of-plane flexural strength in branch using LRFD or ASD load combinations, kip-in. (N-mm)Table K4.1
MrxM_{rx}Required flexural strength at the location of the bolt holes, determined in accordance with Chapter C, using LRFD or ASD load combinations, positive for tension and negative for compression in the flange under consideration, kip-in. (N-mm)H4
MrxM_{rx}, MryM_{ry}Required flexural strength, determined in accordance with Chapter C, using LRFD or ASD load combinations, kip-in. (N-mm)H3.2
MuM_{u}Required flexural strength at elevated temperature, determined using the load combination in Equation A-4-1 and greater than 0.01MnM_{n}, kip-in. (N-mm)App. 4.2.4e
SymbolDefinitionSection
MyMoment at yielding of the extreme fiber, kip-in. (N-mm)Table B4.1b
MyYield moment about the axis of bending, kip-in. (N-mm)F9.1
MyYield moment calculated using the geometric section modulus, kip-in. (N-mm)F10.2
MycYield moment corresponding to yielding of the tension flange and first yield of the compression flange, kip-in. (N-mm)I3.4b
MycYield moment in the compression flange, kip-in. (N-mm)F4.1
MytYield moment in the tension flange, kip-in. (N-mm)F4.4
M'1Effective moment at the end of the unbraced length opposite from M2, kip-in. (N-mm)App. 1.3.2c
M1Smaller moment at end of unbraced length, kip-in. (N-mm)App. 1.3.2c
M2Larger moment at end of unbraced length, kip-in. (N-mm)App. 1.3.2c
NiNotional load applied at level i, kips (N)C2.2b
NiAdditional lateral load applied at any level, kips (N)App. 7.3.2
PbrRequired strength of end and intermediate point braces, kips (N)App. 6.2.2
PcAvailable compressive strength, φPn or Pnc, determined in accordance with Chapter E, kips (N)H1.1
PcAvailable tensile strength, φPn or Pnt, determined in accordance with Chapter D, kips (N)H1.2
PcAvailable compressive strength in plane of bending, kips (N)H1.3
PcAvailable tensile or compressive strength, φPn or Pn/Ω, determined in accordance with Chapter D or E, kips (N)H3.2
PcAvailable axial strength for the limit state of tensile rupture of the net section at the location of bolt holes, φPn or Pnt, determined in accordance with Section D2(b), kips (N)H4
PcAllowable axial strength, determined in accordance with Section I2, kips (N)I5
PcDesign axial strength, determined in accordance with Section I2, kips (N)I5
PcAvailable axial strength obtained from Table K3.1, kips (N)Table K4.1
PcyAvailable compressive strength out of the plane of bending, kips (N)H1.3
PeElastic critical buckling load determined in accordance with Chapter C or Appendix 7, kips (N)I2.1b
Pe storyElastic critical buckling strength for the story in the direction of translation being considered, kips (N)App 8.1.3
PelElastic critical buckling strength of the member in the plane of bending, kips (N)App. 8.1.2
PltFirst-order axial force using LRFD or ASD load combinations, due to lateral translation of the structure only, kips (N)App. 8.1.1
PmfTotal vertical load in columns in the story that are part of moment frames, if any, in the direction of translation being considered, kips (N)App. 8.1.3
PnNominal compressive strength, kips (N)E1
PnNominal axial strength, kips (N)App. 2.1.4
PnNominal compressive strength at ambient temperature determined in accordance with Section E3, kips (N)App. 4.2.4e
SymbolDefinitionSection
PnoNominal axial compressive strength without consideration of length effects, kips (N)I2.1b
PnsCross-section compressive strength, kips (N)C2.3
PntFirst-order axial force using LRFD or ASD load combinations, with the structure restrained against lateral translation, kips (N)App. 8.1.1
PpNominal bearing strength, kips (N)J8
PpPlastic axial compressive strength, kips (N)I2.2b
PrRequired axial compressive strength using LRFD or ASD load combinations, kips (N)C2.3
PrRequired compressive strength determined in accordance with Chapter C using LRFD or ASD load combinations, kips (N)H1.1
PrRequired tensile strength determined in accordance with Chapter C using LRFD or ASD load combinations, kips (N)H1.2
PrRequired axial strength determined in accordance with Chapter C using LRFD or ASD load combinations, kips (N)H3.2
PrRequired axial strength of the member at the location of the bolt holes determined in accordance with Chapter C using LRFD or ASD load combinations, positive in tension and negative in compression, kips (N)H4
PrRequired axial strength, determined in accordance with Section 11.5 using LRFD or ASD load combinations, kips (N)I5
PrRequired external force applied to the composite member, kips (N)I6.2a
PrRequired axial strength using LRFD or ASD load combinations, kips (N)J10.6
PrRequired axial strength in branch using LRFD or ASD load combinations, kips (N)Table K4.1
PrRequired axial strength of the column within the panel under consideration using LRFD or ASD load combinations, kips (N)App. 6.2.1
PrLargest of the required axial strengths of the column within the unbraced lengths adjacent to the point brace using LRFD or ASD load combinations, kips (N)App. 6.2.2
PrRequired second-order axial strength using LRFD or ASD load combinations, kips (N)App. 8.1.1
ProRequired axial strength in the HSS chord member at a joint, on the side of joint with lower compression stress for round HSS and higher compression stress for rectangular HSS, kips (N)K1.3
PstoryTotal vertical load supported by the story using LRFD or ASD load combinations, as applicable, including loads in columns that are not part of the lateral force-resisting system, kips (N)App. 8.1.3
PuRequired axial strength in compression using LRFD load combinations, kips (N)App. 1.3.2b
PuRequired compressive strength at elevated temperature, determined using the load combination in Equation A-4-1, kips (N)App. 4.2.4e
PyAxial yield strength of the column, kips (N)J10.6
QctAvailable tensile strength, determined in accordance with Section 18.3b, kips (N)I8.3c
SymbolDefinitionSection
QcvAvailable shear strength, determined in accordance with Section 18.3a, kips (N)18.3c
QfChord-stress interaction parameterJ10.3
QnNominal shear strength of one steel headed stud or steel channel anchor, kips (N)13.2d
QneNominal tested strength of shear connections, kips (N)18.4b
QntNominal tensile strength of steel headed stud anchor, kips (N)18.3b
QnvNominal shear strength of steel headed stud anchor, kips (N)18.3a
QrtRequired tensile strength, kips (N)18.3c
QrvRequired shear strength, kips (N)18.3c
RRadius of joint surface, in. (mm)Table J2.2
RTransition radius, in. (mm)Table A-3.1
RFire endurance at equilibrium moisture conditions, minApp. 4.3.2a
RFire resistance, minApp. 4.3.2a
RFire-resistance rating of column assembly, hrApp. 4.3.2a
RFire-resistance rating, hrApp. 4.3.2b
RNominal load due to rainwater or snow, exclusive of ponding contributionApp. 5.4.2
RaRequired strength using ASD load combinationsB3.2
R_FILReduction factor for joints using a pair of transverse fillet welds onlyApp. 3.3
R_nNominal strengthB3.1
R_nNominal bond strength, kips (N)I6.3c
R_nNominal slip resistance, kips (N)J1.8
R_nNominal strength of the connected material, kips (N)J3.11
R_nNominal yielding strength at ambient temperature determined in accordance with Section D2, kips (N)App. 4.2.4e
R_oFire endurance at zero moisture content, minApp. 4.3.2a
R_pcWeb plastification factor, determined in accordance with Section F4.2(c)(6)F4.1
R_pgBending strength reduction factorF5.2
R_PJPReduction factor for reinforced or nonreinforced transverse partial-joint-penetration (PJP) groove weldsApp. 3.3
R_ptWeb plastification factor corresponding to the tension flange yielding limit stateF4.4
R_uRequired tensile strength at elevated temperature, determined using the load combination in Equation A-4-1 and greater than 0.01R_n, kips (N)App. 4.2.4e
R_uRequired strength using LRFD load combinationsB3.1
SElastic section modulus about the axis of bending, in.³ (mm³)F7.2
SNominal snow load, kips (N)App. 4.1.4
S_cElastic section modulus, in.³ (mm³)F9.4
S_cElastic section modulus to the toe in compression relative to the axis of bending, in.³ (mm³)F10.3
S_eEffective section modulus determined with the effective width of the compression flange, in.³ (mm³)F7.2
SymbolDefinitionSection
SipEffective elastic section modulus of welds for in-plane bending, in.3 (mm3)K5
SminMinimum elastic section modulus relative to the axis of bending, in.3 (mm3)F12
SopEffective elastic section modulus of welds for out-of-plane bending, in.3 (mm3)K5
SxElastic section modulus taken about the x-axis, in.3 (mm3)F2.2
SxMinimum elastic section modulus taken about the x-axis, in.3 (mm3)F13.1
Sxc, SxtElastic section modulus referred to compression and tension flanges, respectively, in.3 (mm3)Table B4.1b
SyElastic section modulus taken about the y-axis, in.3 (mm3)F6.1
TElevated temperature of steel due to unintended fire exposure, °F (°C)App. 4.2.4d
TTemperature of steel, °F (°C)App. 4.2.4d
TaRequired tension force using ASD load combinations, kips (kN)J3.10
TbMinimum fastener pretension given in Table J3.1 or Table J3.1M, kips (kN)J3.9
TcAvailable torsional strength, φTTn or TnT, determined in accordance with Section H3.1, kip-in. (N-mm)H3.2
TcrCritical temperature in °F (°C)App. 4.2.4e
TeEquivalent thickness of concrete or clay masonry unit, in accordance with ACI 216.1 (ACI 216.1M), in. (mm)App. 4.3.2a
TrRequired torsional strength, determined in accordance with Chapter C, using LRFD or ASD load combinations, kip-in. (N-mm)H3.2
TuRequired tension force using LRFD load combinations, kips (kN)J3.10
T1Thickness of fire protection materials calculated for the substitute beam or girder, in. (mm)App. 4.3.2c
UShear lag factorD3
V'Nominal shear force between the steel beam and the concrete slab transferred by steel anchors, kips (N)I3.2d
VbrRequired shear strength of the bracing system, kips (N)App. 6.2.1
VeAvailable shear strength, φvVn or Vnv, determined in accordance with Chapter G, kips (N)H3.2
Vc1Available shear strength calculated with Vn as defined in Section G2.1 or G2.2. as applicable, kips (N)G2.4
Vc2Available shear strength, kips (N)G2.4
VnNominal shear strength, kips (N)G1
VrRequired shear strength in the panel being considered, kips (N)G2.4
VrRequired shear strength, determined in accordance with Chapter C, using LRFD or ASD load combinations, kips (N)H3.2
V'rRequired shear force to be transferred to the steel or concrete, kips (N)I6.1
WNominal weight of steel shape, lb/ft (kg/m)App. 4.3.2a
WWeight of columns, lb/ft (kg/m)App. 4.3.2a
WAverage weight of column, lb/ft (kg/m)App. 4.3.2a
WWeight of beam or girder, lb/ft (kg/m)App. 4.3.2c
SymbolDefinitionSection
W'Total weight of steel shape and gypsum wallboard protection, lb/ft (kg/m)App. 4.3.2a
W1Weight of substitute beam or girder, lb/ft (kg/m)App. 4.3.2c
YiGravity load applied at level i from the LRFD load combination or ASD load combination, as applicable, kips (N)C2.2b
ZPlastic section modulus taken about the axis of bending, in.3 (mm3)F7.1
ZbPlastic section modulus of branch taken about the axis of bending, in.3 (mm3)K4.1
ZxPlastic section modulus taken about the x-axis, in.3 (mm3)Table B4.1b
ZyPlastic section modulus taken about the y-axis, in.3 (mm3)F6.1
aShortest distance from edge of pin hole to edge of member measured parallel to the direction of force, in. (mm)D5.1
aDistance between connectors, in. (mm)E6.1
aClear distance between transverse stiffeners, in. (mm)F13.2
aDetail length, in. (mm)Table A-3.1
awRatio of 2 times the web area in compression to the compression flange areaF13.2
bWidth of compression element as shown in Table B4.1, in. (mm)B4.1
bWidth of the element, in. (mm)E7.1
bWidth of compression flange as defined in Section B4.1b, in. (mm)F7.2
bWidth of leg, in. (mm)F10.2
bFull width of leg in compression, in. (mm)F10.3
bWidth of the leg resisting the shear force or depth of tee stem, in. (mm)G3
bLargest clear distance between rows of steel anchors or ties, in. (mm)I1.6a
bThickness of attachment, in. (mm)Table A-3.1
bcfWidth of column flange, in. (mm)J10.6
beEffective width, in. (mm)E7.1
bfWidth of flange, in. (mm)B4.1
bfWidth of column flange, in. (mm)App. 4.3.2a
bfcWidth of compression flange, in. (mm)F4.2
bftWidth of tension flange, in. (mm)G2.2
blLength of longer leg of angle, in. (mm)E5
bpSmaller of the dimensions a and h, in. (mm)G2.4
bsLength of shorter leg of angle, in. (mm)E5
bsStiffener width for one-sided stiffeners; twice the individual stiffener width for pairs of stiffeners, in. (mm)App. 6.3.2a
cDistance from the neutral axis to the extreme compressive fibers, in. (mm)App. 6.3.2a
ccAmbient temperature specific heat of concrete, Btu/lb-°F (kJ/kg-K)App. 4.3.2a
c1Effective width imperfection adjustment factor determined from Table E7.1E7.1
dFull depth of the section, for stems of tees, in. (mm)B4.1a
dDepth of section, in. (mm)Table D3.1
SymbolDefinitionSection
dDepth of section from which the tee was cut, in. (mm)Table D3.1
dDiameter of pin, in. (mm)D5.1
dDepth of tee or width of web leg in tension, in. (mm)F9.2
dDepth of tee or width of web leg in compression, in. (mm)F9.2
dNominal diameter of fastener, in. (mm)J3.4
dDiameter, in. (mm)J7
dFull nominal depth of member, in. (mm)J10.2
dDepth of column, in. (mm)App. 4.3.2a
d_bDepth of beam, in. (mm)J10.6
d_bNominal diameter (body or shank diameter), in. (mm)App. 3.4
d_cDepth of column, in. (mm)J10.6
d_eEffective width for tees, in. (mm)E7.1
d_hDiameter of hole, in. (mm)D5.1
d_mDensity of the concrete or clay masonry unit, lb/ft³ (kg/m³)App. 4.3.2a
d_saDiameter of steel headed stud anchor, in. (mm)I8.1
d_tieEffective diameter of the tie bar, in. (mm)I1.6b
eEccentricity in a truss connection, positive being away from the branches, in. (mm)K3.1
e_mid-htDistance from the edge of steel headed stud anchor shank to the steel deck web, in. (mm)I8.2a
f'_cSpecified compressive strength of concrete, ksi (MPa)I1.2a
f'_c28-day compressive strength of concrete, ksi (MPa)App. 4.3.2b
f'_c(T)Specified compressive strength of concrete at elevated temperature, ksi (MPa)App. 4.2.3b
f_raRequired axial stress at the point of consideration, determined in accordance with Chapter C, using LRFD or ASD load combinations, ksi (MPa)H2
f_rbw, f_rbzRequired flexural stress at the point of consideration, determined in accordance with Chapter C, using LRFD or ASD load combinations, ksi (MPa)H2
f_rvRequired shear stress using LRFD or ASD load combinations, ksi (MPa)J3.8
gTransverse center-to-center spacing (gage) between fastener gage lines, in. (mm)B4.3b
gGap between toes of branch members in a gapped K-connection, neglecting the welds, in. (mm)K3.1
hWidth of compression element as shown in Table B4.1, in. (mm)B4.1
hDepth of web, as defined in Section B4.1b, in. (mm)F7.3
hClear distance between flanges less the fillet at each flange, in. (mm)G2.1
hFor built-up welded sections, the clear distance between flanges, in. (mm)G2.1
hFor built-up bolted sections, the distance between fastener lines, in. (mm)G2.1
SymbolDefinitionSection
hhWidth resisting the shear force, taken as the clear distance between the flanges less the inside corner radius on each side for HSS or the clear distance between flanges for box sections; for built-up welded sections, the clear distance between flanges; for built-up bolted sections, the distance between fastener lines, in. (mm)G4
hhFlat width of longer side, as defined in Section B4.1b(d), in. (mm)H3.1
hhTotal nominal thickness of Type X gypsum wallboard, in. (mm)App. 4.3.2a
hhThickness of the concrete cover, measured between the exposed concrete and nearest outer surface of the encased steel column section, in. (mm)App. 4.3.2a
hhThickness of sprayed fire-resistant material, in. (mm)App. 4.3.2a
hch_{c}Twice the distance from the center of gravity to the following: the inside face of the compression flange less the fillet or corner radius, for rolled shapes; the nearest line of fasteners at the compression flange or the inside faces of the compression flange when welds are used, for built-up sections, in. (mm)B4.1b
heh_{e}Effective width for webs, in. (mm)E7.1
hfh_{f}Factor for fillersJ3.9
hoh_{o}Distance between flange centroids, in. (mm)E4
hph_{p}Twice the distance from the plastic neutral axis to the nearest line of fasteners at the compression flange or the inside face of the compression flange when welds are used, in. (mm)B4.1b
h1h_{1}Concrete slab thickness above steel deck, in. (mm)App. 4.3.2f
h2h_{2}Depth of steel deck, in. (mm)App. 4.3.2f
kkDistance from outer face of flange to the web toe of fillet, in. (mm)J10.2
kEk_{E}, kpk_{p}, kyk_{y}Retention factors for steelApp. 4.2.3b
kEck_{Ec}, kck_{c}Retention factors for concreteApp. 4.2.3b
kbk_{b}Retention factor for high-strength boltsApp. 4.2.3b
kck_{c}Coefficient for slender unstiffened elements: TableB4.1
kdsk_{ds}Directional strength increase factorJ2.4
ksbk_{sb}Retention factor depending on bottom flange temperature, TT, as given in Table A-4.2.4App. 4.2.4d
kvk_{v}Web plate shear buckling coefficientG2.1
llActual length of end-loaded weld, in. (mm)J2.2
llLength of connection, in. (mm): TableD3.1
lal_{a}Length of channel anchor, in. (mm)I8.2b
lbl_{b}Bearing length of the load, measured parallel to the axis of the HSS member (or measured across the width of the HSS in the case of loaded cap plates), in. (mm)K2.1
lbl_{b}Length of bearing, in. (mm)J7
lcl_{c}Clear distance, in the direction of the force, between the edge of the hole and the edge of the adjacent hole or edge of the material, in. (mm)J3.11
lel_{e}Total effective weld length of groove and fillet welds to HSS for weld strength calculations, in. (mm)K5
SymbolDefinitionSection
lendDistance from the near side of the connecting branch or plate to end of chord, in. (mm)K1.1
lovOverlap length measured along the connecting face of the chord beneath the two branches, in. (mm) K3.1
lpProjected length of the overlapping branch on the chord, in. (mm)K3.1
l1Largest upper width of deck rib, in. (mm)App. 4.3.2f
l2Bottom width of deck rib, in (mm)App. 4.3.2f
l3Width of deck upper flange, in (mm)App. 4.3.2f
mEquilibrium moisture content of concrete by volume, %App. 4.3.2a
mMoisture content of the concrete slab, %App. 4.3.2f
nNumber of braced points within the spanApp. 6.3.2a
nThreads per inch (per mm)App. 3.4
nbNumber of bolts carrying the applied tensionJ3.10
nsNumber of slip planes required to permit the connection to slipJ3.9
nSRNumber of stress range fluctuations in design lifeApp. 3.3
pInner perimeter of concrete or clay masonry protection, in. (mm) App. 4.3.2a
pPitch, in. per thread (mm per thread)App. 3.4
PbPerimeter of the steel-concrete bond interface within the composite cross section, in. (mm) I6.3c
PcConcrete density, lb/ft³ (kg/m³)App. 4.3.2a
rRadius of gyration, in. (mm)E2
raRadius of gyration about the geometric axis parallel to the connected leg, in. (mm) E5
riMinimum radius of gyration of individual component, in. (mm)E6.1
oPolar radius of gyration about the shear center, in. (mm)E4
rtEffective radius of gyration for lateral-torsional buckling. For I-shapes with a channel cap or a cover plate attached to the compression flange, radius of gyration of the flange components in flexural compression plus one-third of the web area in compression due to application of major-axis bending moment alone, in. (mm) F4.2
rxRadius of gyration about x-axis, in. (mm)E4
ryRadius of gyration about y-axis, in. (mm)E4
ryRadius of gyration about minor axis, in. (mm)App. 1.3.2c
rzRadius of gyration about the minor principal axis, in. (mm)E5
sLongitudinal center-to-center spacing (pitch) of any two consecutive bolt holes, in. (mm) B4.3b
StLargest clear spacing of the ties, in. (mm)I1.6b
tDesign wall thickness of HSS member, in. (mm)B4.2
tThickness of plate, in. (mm)D5.1
tThickness of wall, in. (mm)E7.2
tThickness of angle leg, in. (mm)F10.2
tThickness of angle leg or tee stem, in. (mm)G3
tThickness of web, in. (mm)G4
tThickness of connected material, in. (mm)J3.11
tTotal thickness of fillers, in. (mm)J5.2
SymbolDefinitionSection
tDesign wall thickness of HSS chord member, in. (mm)K1.1
tDistance from the neutral axis to the extreme tensile fibers, in. (mm)App. 6.3.2a
tbDesign wall thickness of HSS branch member or thickness of plate, in. (mm)K1.1
tcfThickness of column flange, in. (mm)J10.6
tfThickness of flange, in. (mm)F3.2
tfThickness of the loaded flange, in. (mm)J10.1
tfThickness of channel anchor flange, in. (mm)I8.2b
tfcThickness of compression flange, in. (mm)F4.2
tpThickness of tension loaded plate, in. (mm)App. 3.3
tscThickness of composite plate shear wall, in. (mm)I1.6b
tstThickness of web stiffener, in. (mm)App. 6.3.2a
twThickness of web, in. (mm)F4.2
twThickness of channel anchor web, in. (mm)I8.2b
twThickness of column web, in. (mm)J10.6
twSmallest effective weld throat thickness around the perimeter of branch or plate, in. (mm)K5
twThickness of beam web, in. (mm)App. 6.3.2a
WWidth of plate, in. (mm)Table D3.1
WWidth of cover plate, in. (mm)F13.3
WSize of weld leg, in. (mm)J2.2b
WSubscript relating symbol to major principal axis bendingH2
WLeg size of the reinforcing or contouring fillet, if any, in the direction of the thickness of the tension-loaded plate, in. (mm)App. 3.3
wcWeight of concrete per unit volume (90 ≤ wc≤ 155 lb/ft³ or 1500 ≤ wc≤ 2500 kg/m³)I1.5
wrAverage width of concrete rib or haunch, in. (mm)I3.2c
xSubscript relating symbol to major-axis bendingH1.1
xaBracing offset distance along x-axis, in. (mm)E4
xo, yoCoordinates of the shear center with respect to the centroid, in. (mm)E4
Eccentricity of connection, in. (mm)Table D3.1
ySubscript relating symbol to minor-axis bendingH1.1
yaBracing offset distance along y-axis, in. (mm)E4
zSubscript relating symbol to minor principal axis bendingH2
ΔFirst-order interstory drift due to the LRFD or ASD load combinations, in. (mm)App. 7.3.2
ΔHFirst-order interstory drift, in the direction of translation being considered, due to lateral forces, in. (mm)App. 8.1.3
ΩSafety factorB3.2
ΩbSafety factor for flexureI5
ΩcSafety factor for compressionI5
βReduction factorJ2.2b
βWidth ratio; the ratio of branch diameter to chord diameter for round HSS; the ratio of overall branch width to chord width for rectangular HSSK1.1
SymbolDefinitionSection
βT\beta _{T}Overall brace system required stiffness, kip-in./rad (N-mm/rad)App. 6.3.2a
βbr\beta _{br}Required shear stiffness of the bracing system, kip/in. (N/mm)App. 6.2.1
βbr\beta _{br}Required flexural stiffness of the brace, kip/in. (N/mm)App. 6.3.2a
βeff\beta _{eff}Effective width ratio; the sum of the perimeters of the two branch members in a K-connection divided by eight times the chord widthK1.1
βsec\beta _{sec}Web distortional stiffness, including the effect of web transverse stiffeners, if any, kip-in./rad (N-mm/rad)App. 6.3.2a
βw\beta _{w}Section property for single angles about major principal axis, in. (mm)F10.2
γ\gammaChord slenderness ratio; the ratio of one-half the diameter to the wall thickness for round HSS; the ratio of one-half the width to wall thickness for rectangular HSSK1.1
ε(T)\varepsilon (T)Engineering strain at elevated temperature, in./in.(mm/mm)App. 4.2.3b
εc(T)\varepsilon _{c}(T)Concrete compressive strain, in./in. (mm/mm)App. 4.2.3b
εcu(T)\varepsilon _{cu}(T)Concrete strain corresponding to fc(T)f_{c}^{\prime }(T) at elevated temperature, in./in. (mm/mm)App. 4.2.3b
εp(T)\varepsilon _{p}(T)Engineering strain at the proportional limit at elevated temperature, in./in. (mm/mm)App. 4.2.3b
εu(T)\varepsilon _{u}(T)Ultimate strain at elevated temperature, in./in. (mm/mm)App. 4.2.3b
εy(T)\varepsilon _{y}(T)Engineering yield strain at elevated temperature, in./in. (mm/mm)App. 4.2.3b
ζ\zetaGap ratio; the ratio of the gap between the branches of a gapped K-connection to the width of the chord for rectangular HSSK3.1
η\etaLoad length parameter, applicable only to rectangular HSS; the ratio of the length of contact of the branch with the chord in the plane of the connection to the chord widthK1.1
θ\thetaAngle between the line of action of the required force and the weld longitudinal axis, degreesJ2.4
θ\thetaAcute angle between the branch and chord, degreesK1.1
λ\lambdaWidth-to-thickness ratio for the element as defined in Section B4.1E7.1
λp\lambda _{p}Limiting width-to-thickness ratio (compact/noncompact)Table B4.1b
λpf\lambda _{pf}Limiting width-to-thickness ratio for compact flange, as defined in Table B4.1bF3.2
λpw\lambda _{pw}Limiting width-to-thickness ratio for compact web, as defined in Table B4.1bF4.2
λr\lambda _{r}Limiting width-to-thickness ratio (noncompact/slender)Table B4.1b
λr\lambda _{r}Limiting width-to-thickness ratio (nonslender/slender)Table B4.1a
λrf\lambda _{rf}Limiting width-to-thickness ratio for noncompact flange, as defined in Table B4.1bF3.2
λrw\lambda _{rw}Limiting width-to-thickness ratio for noncompact web, as defined in Table B4.1bF4.2
μ\muMean slip coefficient for Class A or B surfaces, as applicable, or as established by testsJ3.9
ρsr\rho _{sr}Reinforcement ratio for continuous longitudinal reinforcementI2.1
ρw\rho _{w}Maximum shear ratio within the web panels on each side of the transverse stiffenerG2.4
SymbolDefinitionSection
τbStiffness reduction parameterC2.3
ΦResistance factorB3.1
ΦbResistance factor for flexureI5
ΦcResistance factor for compressionI5