Composite Members

Learning Objectives

  • Explain how shear connectors develop composite action between steel beams and concrete slabs.
  • Distinguish construction-stage demands from cured composite-member demands.
  • Determine effective slab width and transformed-section concepts for service analysis.
  • Locate the plastic neutral axis from force equilibrium rather than geometric intuition.
  • Determine the horizontal shear transfer required for full composite action and recognize partial-composite behavior.
  • Describe composite-column behavior without treating concrete contribution as a simple unqualified additive strength.

Composite Beam

A steel beam and concrete slab connected so that interface shear is transferred and the materials participate together in flexural resistance and stiffness within the assumptions of the governing composite-design provisions.

What Composite Action Changes

The steel top flange remains structurally relevant

The concrete slab can carry a large portion of positive-moment compression after composite action develops, but the steel top flange remains part of the steel section. It contributes to construction-stage strength/stability, steel-section properties, local behavior, stud attachment, negative-moment behavior, and the final composite force equilibrium. It must remain part of the modeled and detailed steel section.

Interface shear is the key

Without adequate shear transfer, the slab and steel beam can slip relative to one another and do not develop the intended composite action. Headed stud anchors or other permitted connectors transfer longitudinal interface shear so the two materials deform compatibly within the design model.

Construction Stages

Unshored construction

Before the slab gains sufficient strength, the bare steel beam commonly carries the wet concrete, steel deck/formwork, beam self-weight, and construction loads. After composite action is established, the composite section carries the applicable later loads. Construction-stage LTB, deflection, ponding, deck support, and erection bracing can govern even when the final composite beam is strong.

Shored construction

Temporary shores can reduce construction-stage steel-beam demand and change the stress history before composite action develops. The analysis must model which loads are carried by the bare steel section and which are carried after composite action; do not simply assign all loads to the final section without considering the construction sequence.

Effective Slab Width

Effective Width (beb_e)

The portion of slab width permitted to participate with the beam in the design model, accounting for nonuniform longitudinal stress (shear lag) and geometric limits.

Interior beams

For common building composite-beam cases, the effective slab width is limited by span, spacing to adjacent beams, and slab edges according to the adopted composite-design provision. Determine the contribution on each side of the beam and sum the permitted widths; edge beams can have unequal effective widths on the two sides.

Elastic / Service Analysis

Modular ratio

Ratio used to transform concrete area to an equivalent steel area for elastic section-property calculations.

n=EsEcn=\frac{E_s}{E_c}

Equivalent transformed slab width

Simple transformed-width representation for a rectangular effective slab region.

btr=benb_{tr}=\frac{b_e}{n}

Short-term transformation is not the whole serviceability model

Long-term creep, shrinkage, construction sequence, cracking, deck geometry, partial interaction, vibration, and project-specific serviceability requirements can require additional treatment. Do not use one short-term transformed inertia as a universal final deflection model.

Plastic Positive-Moment Strength

Plastic Neutral Axis (PNA)

The axis separating compression and tension resultants in the plastic strength model. Its position is obtained by axial force equilibrium, not by locating the geometric centroid of the composite section.

Possible PNA locations

For a common positive-moment composite beam, the PNA may lie in the concrete slab, steel top flange, or steel web depending on slab compression capacity, steel yield force, and connector strength. The assumed force blocks must satisfy equilibrium before a moment arm is calculated.

Solid-slab full-composite force comparison

For the simple solid-slab teaching case, compare the maximum concrete compression force with the steel yield force:

Cc=0.85fc′Ac,Py=AsFy.C_c=0.85f'_cA_c,\qquad P_y=A_sF_y.

If Cc≥PyC_c\ge P_y and full composite action can be developed, only part of the slab depth is required for compression and the PNA can lie in the slab. If Cc<PyC_c<P_y, part of the steel section must be in compression and the PNA moves into the steel.

Horizontal Shear and Stud Anchors

Full-composite horizontal shear demand — simple positive-moment case

Maximum force that must be transferred between zero and maximum positive moment in the simplified force-equilibrium model.

V′=min⁡(0.85fc′Ac,  AsFy)V'=\min(0.85f'_cA_c,\;A_sF_y)

Connector strength

The nominal strength of a headed stud depends on stud area/material and concrete/deck conditions under the adopted AISC composite provisions. Metal-deck rib orientation and geometry can reduce connector effectiveness. Do not assign an arbitrary constant force per stud independent of stud diameter, concrete, deck, and connection geometry.

Full vs. partial composite action

If the provided connector strength from the relevant zero-moment point to maximum moment is sufficient to develop the full-composite force, the full-composite plastic model may be used subject to all other provisions. If less shear transfer is provided, the member is partially composite and flexural strength/service behavior must be evaluated using the governing partial-composite provisions.

Do not fabricate a PNA for a partial-composite model

The interactive tool does not report a full-composite PNA unless the provided stud strength is sufficient for the simplified full-composite force transfer. When the connection is partial, it reports the composite-action ratio and stops rather than inventing a neutral-axis location from arbitrary graphics.

Composite Beam Plastic Neutral Axis

Concept and model scope

Force equilibrium uses actual section dimensions; partial composite action is not assigned a fabricated PNA

Calculated steel area As10.15 in²
Steel yield force AsFy507.7 kips
Concrete compression limit1530.0 kips
Horizontal shear for full action507.7 kips
Provided stud strength645.0 kips
Composite action100.0%
PNA casePNA in slab
PNA from slab top1.659 in
This tool performs plastic force-equilibrium classification for a solid-slab educational case. Deck geometry factors, stud detailing, construction-stage strength, partial-composite flexural strength, long-term serviceability, negative-moment regions and composite-column design are outside this calculation.

Deck Orientation and Detailing

Formed steel deck affects the connector model

Stud strength and concrete participation depend on deck rib orientation, rib geometry, stud position, number of studs per rib, and the applicable reduction factors/limitations. A solid-slab example is not automatically transferable to a ribbed-deck system.

Continuous Composite Beams

Negative-moment regions

Over interior supports, the slab concrete is generally cracked in tension for flexural strength modeling, while permitted longitudinal reinforcing steel can participate with the structural steel section. Compression-flange stability, local buckling, connection behavior, shear connectors, and cracking/serviceability require separate evaluation from the positive-moment slab-compression case.

Composite Columns

Encased and filled members

Composite columns include structural steel shapes encased in reinforced concrete and concrete-filled HSS. Their strength and stability depend on component areas/materials, section slenderness, confinement/local buckling, effective stiffness, length, load eccentricity, and the specific AISC composite-column provisions.

Do not use an unqualified additive squash-load calculation as final column strength

Expressions combining steel, reinforcing steel, and concrete compression can define reference squash strength, but global stability and composite-column provisions modify the available member strength. The final design is not simply AsFy+0.85fc′AcA_sF_y+0.85f'_cA_c.

Composite beam workflow

Key Takeaways
  • Composite action is created by longitudinal interface shear transfer, not by mere physical contact between slab and beam.
  • Construction-stage behavior can govern before the slab becomes composite.
  • Effective slab width and transformed-section properties are modeling provisions, not literal uniform stress across the entire floor.
  • The PNA follows force equilibrium.
  • Connector strength must be based on the actual stud/concrete/deck system; arbitrary per-stud forces are not acceptable engineering inputs.
  • Partial composite action requires its own strength/serviceability treatment; do not report a fabricated full-composite PNA.