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Steel composite beams with steel headed stud flexural design according to AISC 360-16 are explained in detail under this title.

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Symbols

Asa = Cross-sectional area Area of steel headed stud anchor, in.2 (mm2)
Ec = Modulus of elasticity of Asa = cross-sectional area Area of steel headed stud anchor, in.2 (mm2)
Fu = Specified minimum tensile strength of a steel headed stud anchor, ksi (MPa)
As = Area of steel cross-section, in.2 (mm2)
d3 = Distance distance from the resultant steel tension force for full section tension yield to the top of the steel, in.
ILB = Lower bound moment Moment of inertia, in.4 (mm4)
Is = Moment of inertia for the structural steel section, in.4 (mm4)
ΣQn = Sum of the nominal strengths of steel anchors between the point of the maximum positive moment Moment and the point of zero moment Moment to either side, kips (kN)
Ac = Area of the concrete slab within effective width, in.2 (mm2)
Fy = Specified minimum yield stress of steel, ksi (MPa)
fc =Specified compressive strength of concrete, ksi (MPa)
d1 = Distance distance from the centroid of the compression force, C, in the concrete to the top of the steel section, in. (mm)
d2 = Distance distance from the centroid of the compression force in the steel section to the top of the steel section, in. (mm). For the case of no compression in the steel section, d2 = 0.
Py = Tensile strength of the steel section;

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According to AISC 360-16 I3.1a, the effective width of the concrete slab is determined by the sum Sum of the effective widths for each side of the beam centerline, each of which does not exceed:

  • one-eighth of the beam span, center-to-center of supports;

  • one-half the distance to the centerline of the adjacent beam

  • the The distance to the edge of the slab

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The nominal plastic moment strength of the composite beam, Mn, is calculated by using the equation given below.

Mathinline
body$$ \normalsize M_n=C(d_1+d_2)+P_y(d_3-d_2) \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (C-I3-10) $$

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Compressive strength force, C, and the value in reinforced concrete slab should be calculated by considering the smallest of the three conditions given below.

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize \begin%7Bmatrix%7D C=A_sF_y & & & && &&& &(C-I3-6) \\ C=0.85f'_cA_c & & & && &&&&(C-I3-7) \\ C=\sum Q_n & & & && &&&&(C-I3-8) \end%7Bmatrix%7D \end%7Baligned%7D

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Mathinline
body--uriencoded--$$ \normalsize Q_n = 0.5A_%7Bsa%7D\sqrt%7Bf_c'E_c%7D \le R_gR_pA_%7Bsa%7DF_u \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (I8-1) $$

It is the ratio of the sum Sum of the shear strengths of the anchoring elements between the points where the positive bending moment Moment is maximum and zero, ΣQn, to the compressive force in the reinforced concrete slab, C.

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Deflection is calculated in AISC 360-16 using the lower bound moment Moment of inertia value according to the formula AISC 360-16 C-I3-1.

The lower bound moment Moment of inertia, ILB, is calculated by using the equation given below.

Mathinline
body--uriencoded--$$ \normalsize I_%7BLB%7D=I_x+A_s(Y_%7BENA%7D-d_3)%5e2+( \Sigma Q_n /F_y)(2d_3+d_1-Y_%7BENA%7D)%5e2 \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (C-I3-1) $$

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