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LShapes

AISCSteel.Shapes.LShapes.LShape — Type
struct LShape <: AbstractLShapes

LShape in the AISC steel database. shape,weight,area,d,b,t,k,x,y,xp,yp,Ix,Zx,Sx,rx,Iy,Zy,Sy,ry,Iz,rz,Sz,J,Cw,ro,H,tan_a,Iw,zA,zB,zC,wA,wB,wC,SwA,SwB,SwC,SzA,SzB,SzC,PA,PA2,PB

Fields

  • shape: name of the WShape
  • weight: weight of section (plf)
  • A_g: area of wshape (inch^2)
  • d: width of shorter leg (inch)
  • b: width of the longer leg (inch)
  • t: Thickness of angle leg (inch)
  • k: Distance from outer face of flange to web toe of fillet used for design (inch)
  • x̄: Horizontal distance from designated edge of member, as defined in the AISC Steel Construction Manual Part 1, to center of gravity of member (inch)
  • ȳ: Vertical distance from designated edge of member, as defined in the AISC Steel Construction Manual Part 1, to center of gravity of member (inch)
  • x_p: Horizontal distance from designated edge of member, as defined in the AISC Steel Construction Manual Part 1, to plastic neutral axis of member (inch)
  • y_p: Vertical distance from designated edge of member, as defined in the AISC Steel Construction Manual Part 1, to plastic neutral axis of member (inch)
  • I_x: Moment of inertia about the x-axis (inch^4)
  • Z_x: Plastic section modulus about the x-axis (inch^3)
  • S_x: Elastic section modulus about the x-axis (inch^3)
  • r_x: Radius of gyration about the x-axis (inch)
  • I_y: Moment of inertia about the y-axis (inch^4)
  • Z_y: Plastic section modulus about the y-axis (inch^3)
  • S_y: Elastic section modulus about the y-axis (inch^3)
  • r_y: Radius of gyration about the y-axis (inch)
  • r_z: Radius of gyration about the z-axis (inch)
  • J: Torsional constant (inch^4)
  • C_w: Warping constant (inch^6)
  • r_0: Polar radius of gyration about the shear center, in.
  • S_wA: Elastic section modulus about the w-axis at Point A on the cross section
  • S_wC: Elastic section modulus about the w-axis at Point C on the cross section
  • S_zA: Elastic section modulus about the z-axis at Point A on the cross section
  • S_zB: Elastic section modulus about the z-axis at Point B on the cross section
  • S_zC: Elastic section modulus about the z-axis at Point C on the cross section
  • β_w: See F11 commentary for values
  • E: Elastic section modulus (ksi) = 29000ksi
  • F_y: Yield strength(ksi) = 50ksi
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Compression API for LShapes

AISCSteel.Shapes.LShapes.Compression — Module
module Compression

This module includes useful functions to calculate compression capacity of angle sections (LShape).

Functions

  • classify_leg - classify leg for slenderness
  • classify_web - classify web for slenderness
  • calc_Pn - Compressive capacity of the shape
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AISCSteel.Shapes.LShapes.Compression.calc_Pn — Method
# assumes connection_type = :type_a
calc_Pn(shape::T, leg_connected, L) where T <: AISCSteel.Shapes.LShapes.AbstractLShapes

# must specify connection_type
calc_Pn(shape::T, connection_type, leg_connected, L) where T <: AISCSteel.Shapes.LShapes.AbstractLShapes
calc_Pn(shape::T, connection_type, leg_connected, L, λ, λ_r, λ_class) where T <: AISCSteel.Shapes.LShapes.AbstractLShapes

This function calculates Pn of the shape.

Arguments

  • shape: rolled i-shape section (WTShape)
  • connection_type: the type of connection specified in E5 (type_a or type_b)
  • leg_connected: the leg that is connected (:short or :long)
  • L: length of member between work points (inch)
  • λ: slenderness ratio of the long leg
  • λ_r: nonslender slenderness ratio limit of the long leg
  • λ_class: nonslender or slender classification for the long leg

Returns

  • P_n: nominal compressive strength of the section (kip)

Assumptions

  • Members are loaded at the ends in compression though the same one leg
  • Members are attached by welding or by connections with a minimum of two bolts
  • There are no intermediate transverse loads
  • Lc/r as determined in this section does not exceed 200
  • For unequal leg angles, the ratio of long leg width to short leg width is less than 1.7

Reference

  • AISC Section E3, E5, E7
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AISCSteel.Shapes.LShapes.Compression.classify_leg — Method
classify_leg(shape::T) where T <: AISCSteel.Shapes.LShapes.AbstractLShapes

This function classifies flange for compression for the shape.

Arguments

  • shape: rolled i-shape section (WTShape)

Returns

(λ_f, λ_rf, λ_fclass)
  • λ_f: slenderness ratio of the flange
  • λ_rf: nonslender slenderness ratio limit of the flange
  • λ_fclass: nonslender or slender classification for the flange
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Flexure API for LShapes

AISCSteel.Shapes.LShapes.Flexure — Module
module Flexure

This module includes useful functions to calculate bending capacity of LShapes.

Functions

  • classify_leg
  • calc_positive_Mnw - moment capacity about w-axis when compression is in the short leg.
  • calc_negative_Mnw - moment capacity about w-axis when compression is in the long leg.
  • calc_positive_Mnz - moment capacity about z-axis when compression is in the toe of the legs.
  • calc_negative_Mnz - moment capacity about z-axis when tension is in the toe of the legs.
  • calc_positive_Mnx - moment capacity about x-axis when compression is in the toe of the leg.
  • calc_negative_Mnx - moment capacity about x-axis when tension is in the toe of the leg.
  • calc_positive_Mny - moment capacity about y-axis when compression is in the toe of the leg.
  • calc_negative_Mny - moment capacity about y-axis when tension is in the toe of the leg.

Modules

  • F10 - module where functions are exported from. No need to step into this module
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AISCSteel.Shapes.LShapes.Flexure.classify_leg — Method
classify_leg(shape::T) where T <: AISCSteel.Shapes.LShapes.AbstractLShapes

This function classifies leg for flexure for the shape.

Arguments

  • shape: rolled L-Shape section (LShape)

Returns

(λ_f, λ_p, λ_r, λ_class)
  • λ: slenderness ratio of the leg
  • λ_p: compact slenderness ratio limit of the leg
  • λ_rf: noncompact slenderness ratio limit of the leg
  • λ_fclass: compact noncompact or slender classification for the leg
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AISCSteel.Shapes.LShapes.Flexure.F10.GeometricAxisBending.PositiveBending.calc_positive_Mnx — Method
calc_positive_Mnx(lshape, λ_class, L_b, restraint_type, C_b)
calc_positive_Mnx(lshape, L_b, restraint_type, C_b)

Calculates positive moment (when toe of leg is in compression) about geometric axis for an LShape.

Arguments

  • lshape: LShape object
  • λ_class: slenderness classification of angle leg
  • L_b: unbraced length (inch)
  • restraint_type: type of restraint on leg (:fully_restrained, :unrestrained, or :at_max_moment_only)
  • C_b: lateral torsional buckling modification factor
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AISCSteel.Shapes.LShapes.Flexure.F10.GeometricAxisBending.PositiveBending.calc_positive_Mny — Method
calc_positive_Mny(lshape, λ_class, L_b, restraint_type, C_b)
calc_positive_Mny(lshape, L_b, restraint_type, C_b)

Calculates positive moment (when toe of leg is in compression) about geometric axis for an LShape.

Arguments

  • lshape: LShape object
  • λ_class: slenderness classification of angle leg
  • L_b: unbraced length (inch)
  • restraint_type: type of restraint on leg (:fully_restrained, :unrestrained, or :at_max_moment_only)
  • C_b: lateral torsional buckling modification factor
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