CShapes

struct CShape <: AbstractCShapes

CShape in the AISC steel database.

Fields

• shape: name of the WShape
• weight: weight of section (plf)
• A_g: area of wshape (inch2)
• d: depth of wshape (inch)
• b_f: width of flange (inch)
• t_w: thickness of web (inch)
• t_f: thickness of flange (inch)
• k: Distance from outer face of flange to web toe of fillet used for design (inch)
• h: clear distance between flanges less the fillets (inch)
• x:
• e_0:
• x_p:
• I_x: Moment of inertia about the x-axis (inch4)
• Z_x: Plastic section modulus about the x-axis (inch3)
• S_x: Elastic section modulus about the x-axis (inch3)
• r_x: Radius of gyration about the x-axis (inch)
• I_y: Moment of inertia about the y-axis (inch4)
• Z_y: Plastic section modulus about the y-axis (inch3)
• S_y: Elastic section modulus about the y-axis (inch3)
• r_y: Radius of gyration about the y-axis (inch)
• J: Torsional constant (inch4)
• C_w: Warping constant (inch6)
• W_no: Normalized warping function, as used in Design Guide 9 (inch2)
• S_w1: Warping statical moment at point 1 on cross section, as used in AISC Design Guide 9 (inch4)
• S_w2:
• S_w3:
• Q_f: Statical moment for a point in the flange directly above the vertical edge of the web, as used in AISC Design Guide 9 (inch3)
• Q_w: Statical moment for a point at mid-depth of the cross section, as used in AISC Design Guide 9 (inch3)
• r_0:
• H:
• r_ts: Effective radius of gyration (inch)
• h_0: Distance between the flange centroids (inch)
• PA: Shape perimeter minus one flange surface (or short leg surface for a single angle), as used in Design Guide 19 (inch)
• PB: Shape perimeter, as used in AISC Design Guide 19 (inch)
• PC: Box perimeter minus one flange surface, as used in Design Guide 19 (inch)
• PD: Box perimeter, as used in AISC Design Guide 19 (inch)
• T: Distance between web toes od fillets at the top and bottom of web (inch)
• WG_i: The workable gage for the inner fastener holes in the flange that provides for entering and tightening clearances and edge distance and spacing requirements. The actual size, combination, and orientation of fastener components should be compared with the geometry of the cross section to ensure compatibility. See AISC Manual Part 1 for additional information (inch)
• G: Shear modulus of elasticity of steel = 11200ksi
• E: Elastic section modulus (ksi) = 29000ksi
• F_y: Yield strength(ksi) = 50ksi

CShape(shape; G=11200ksi, E=29000ksi, F_y=50ksi, C_b=1)

Constructor for CShape.

struct MCShape <: AbstractMCShapes

MCShape in the AISC steel database.

Fields

• shape: name of the WShape
• weight: weight of section (plf)
• A_g: area of wshape (inch2)
• d: depth of wshape (inch)
• b_f: width of flange (inch)
• t_w: thickness of web (inch)
• t_f: thickness of flange (inch)
• k: Distance from outer face of flange to web toe of fillet used for design (inch)
• h: clear distance between flanges less the fillets (inch)
• x:
• e_0:
• x_p:
• I_x: Moment of inertia about the x-axis (inch4)
• Z_x: Plastic section modulus about the x-axis (inch3)
• S_x: Elastic section modulus about the x-axis (inch3)
• r_x: Radius of gyration about the x-axis (inch)
• I_y: Moment of inertia about the y-axis (inch4)
• Z_y: Plastic section modulus about the y-axis (inch3)
• S_y: Elastic section modulus about the y-axis (inch3)
• r_y: Radius of gyration about the y-axis (inch)
• J: Torsional constant (inch4)
• C_w: Warping constant (inch6)
• W_no: Normalized warping function, as used in Design Guide 9 (inch2)
• S_w1: Warping statical moment at point 1 on cross section, as used in AISC Design Guide 9 (inch4)
• S_w2:
• S_w3:
• Q_f: Statical moment for a point in the flange directly above the vertical edge of the web, as used in AISC Design Guide 9 (inch3)
• Q_w: Statical moment for a point at mid-depth of the cross section, as used in AISC Design Guide 9 (inch3)
• r_0:
• H:
• r_ts: Effective radius of gyration (inch)
• h_0: Distance between the flange centroids (inch)
• PA: Shape perimeter minus one flange surface (or short leg surface for a single angle), as used in Design Guide 19 (inch)
• PB: Shape perimeter, as used in AISC Design Guide 19 (inch)
• PC: Box perimeter minus one flange surface, as used in Design Guide 19 (inch)
• PD: Box perimeter, as used in AISC Design Guide 19 (inch)
• T: Distance between web toes od fillets at the top and bottom of web (inch)
• WG_i: The workable gage for the inner fastener holes in the flange that provides for entering and tightening clearances and edge distance and spacing requirements. The actual size, combination, and orientation of fastener components should be compared with the geometry of the cross section to ensure compatibility. See AISC Manual Part 1 for additional information (inch)
• G: Shear modulus of elasticity of steel = 11200ksi
• E: Elastic section modulus (ksi) = 29000ksi
• F_y: Yield strength(ksi) = 50ksi

MCShape(shape; G=11200ksi, E=29000ksi, F_y=50ksi, C_b=1)

Constructor for MCShape.

module Compression

This module includes useful functions to calculate compression capacity of rolled c-shape sections (CShape).

Functions

• classify_flange - classify flange for slenderness
• classify_web - classify web for slenderness
• calc_Pn - Compressive capacity of the shape

calc_Fe(F_ey, F_ez, H)

This function calculates F_e of the shape.

Arguments

• F_ey: elastic buckling stress with respect to the y-axis (ksi) (x-axis for c-shapes)
• F_ez: elastic buckling stress with respect to the z-axis (ksi)
• H: flexural constant

Returns

• F_e: elastic buckling stress (ksi)

Reference

• AISC Section E4 (E4-3)

calc_Pn(shape::T, L_cx, L_cy, L_cz) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes
calc_Pn(shape::T, L_cx, L_cy, L_cz, λ_f, λ_rf, λ_fclass, λ_w, λ_rw, λ_wclass) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function calculates Pn of the shape.

Arguments

• shape: rolled c-shape section (CShape)
• L_cx: effective length of member for buckling about the x-axis (inch)
• L_cy: effective length of member for buckling about the y-axis (inch)
• 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
• λ_w: slenderness ratio of the web
• λ_rw: nonslender slenderness ratio limit of the web
• λ_wclass: nonslender or slender classification for the web

Returns

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

Reference

• AISC Section E3, E4, E7

calc_r̄0(x_0, y_0, I_x, I_y, A_g)

Calculates the polar radius of gyration about the shear center.

Description of applicable member: member without slender elements.

Arguments

• x_0: x-coordinate of the shear center with respect to the centroid (inch)
• y_0: y-coordinate of the shear center with respect to the centroid (inch)
• I_x: Moment of inertia about the x-axis (inch^4)
• I_y: Moment of inertia about the y-axis (inch^4)
• A_g: gross area of member (inch^2)

Returns

• r̄_0: polar radius of gyration about the shear center (inch)

Reference

• AISC Section E4 (E4-8)

classify_flange(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function classifies flange for compression for the shape.

Arguments

• shape: rolled c-shape section (CShape)

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

classify_web(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function classifies web for compression for the shape.

Arguments

• shape: rolled c-shape section (CShape)

Returns

(λ_w, λ_rw, λ_wclass)

• λ_w: slenderness ratio of the web
• λ_rw: nonslender slenderness ratio limit of the web
• λ_wclass: nonslender or slender classification for the web

module Flexure

This module includes useful functions to calculate bending capacity of rolled C-Shape sections (CShape, MCShape).

Functions

• classify_flange_major_axis - classify flange for slenderness when bent about the x-axis
• classify_flange_minor_axis - classify flange for slenderness when bent about the y-axis
• classify_web - classify web for slnderness
• calc_Mnx - moment capacity about the x-axis
• calc_Mny - moment capacity about the y-axis

Modules

• F2 - includes functions specific for F2 sections
• F6 - includes functions specific for F6 sections

calc_Mnx(shape::T, L_b, C_b=1) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function calculates Mnx of the shape.

Arguments

• shape: rolled C-Shape section (CShape, MCShape)
• L_b: unbraced length (inch)
• C_b: lateral torsional buckling modification factor (default = 1)

Returns

• M_nx: nominal moment of the section (kip-ft)

Reference

• AISC Section F2

calc_Mny(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function calculates Mny of the shape.

Arguments

• shape: rolled C-Shape section (CShape, MCShape)

Returns

• M_ny: nominal moment of the section (kip-ft)

Reference

• AISC Section F6

classify_flange_major_axis(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function classifies flange for flexure for the shape.

Arguments

• shape: rolled C-Shape section (CShape, MCShape)

Returns

(λ_f, λ_pf, λ_rf, λ_fclass)

• λ_f: slenderness ratio of the flange
• λ_pf: compact slenderness ratio limit of the flange
• λ_rf: noncompact slenderness ratio limit of the flange
• λ_fclass: compact noncompact or slender classification for the flange

classify_flange_minor_axis(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function classifies flange for flexure for the shape.

Arguments

• shape: rolled C-Shape section (CShape, MCShape)

Returns

(λ_f, λ_pf, λ_rf, λ_fclass)

• λ_f: slenderness ratio of the flange
• λ_pf: compact slenderness ratio limit of the flange
• λ_rf: noncompact slenderness ratio limit of the flange
• λ_fclass: compact noncompact or slender classification for the flange

classify_web(shape::T) where T <: AISCSteel.Shapes.CShapes.AbstractCShapes

This function classifies web for flexure for the shape.

Arguments

• shape: rolled C-Shape section (CShape, MCShape)

Returns

(λ_w, λ_pw, λ_rw, λ_wclass)

• λ_w: slenderness ratio of the web
• λ_pw: compact slenderness ratio limit of the web
• λ_rw: noncompact slenderness ratio limit of the web
• λ_wclass: compact noncompact or slender classification for the web