Braced frames, moment frames, dual systems, gravity systems.
A real project narrative for this chapter will be authored as this chapter migrates to the v3.0 structured schema.
Braced frames, moment frames, dual systems, gravity systems.

Braced frames, moment frames, dual systems, gravity systems.
A real project narrative for this chapter will be authored as this chapter migrates to the v3.0 structured schema.
Photographs and lessons-learned case studies for this topic will be added during chapter migration.
The choice of lateral system — braced frame, moment frame, dual, or shear-wall-with-steel-gravity — sets the cost, the erection sequence, and the seismic performance of the whole building.
This chapter directly precedes the capstone (Chapter 20), where students choose and design a full lateral system.
Gravity framing carries dead and live load down through a hierarchy of elements, each spanning to the next, until the load reaches a column and finally a foundation. The most common arrangement is one-way framing: a metal deck spans a short distance between closely spaced filler beams, the filler beams span onto girders at the column lines, and the girders frame directly into columns. Two-way framing (a slab or deck spanning in both directions onto a denser grid, or waffle/flat-plate concrete systems) is less common in steel because a corrugated deck has an inherently strong and weak direction, but two-way steel framing appears in heavy industrial or transfer-level construction where load must be shared among many supports.
In a composite floor, shear studs welded through the metal deck to the beam top flange bond the concrete slab to the steel beam so they act as one T-shaped section, dramatically increasing stiffness and strength for the same beam weight. Deck profiles are typically 1.5 in, 2 in, or 3 in deep; a 3 in deep, 20-gauge composite deck can span roughly 10–12 ft unshored with normal-weight topping. Total slab thickness (deck depth + topping) is usually 4.5–6.5 in, chosen to satisfy both strength and the 2-hour fire rating typical of office construction.
A lateral system resists wind and seismic loads and controls drift. The major steel families are:
Every lateral load must have a complete, continuous load path. Wind pressure first strikes the exterior cladding, which spans (typically vertically) to floor-level girts or the slab edge; that force enters the floor diaphragm (the composite slab acting as a deep horizontal beam/plate); the diaphragm distributes the force to the vertical lateral elements (braced frames, moment frames, or shear walls) in proportion to their relative stiffness; those elements carry the load down as shear and overturning moment to the foundation, which must resist sliding, overturning, and — for braced frames especially — net uplift at the base.
A diaphragm is classified as rigid if its in-plane deflection is small compared to the story drift of the vertical elements it connects (ASCE 7 §12.3.1) — typically a reinforced concrete slab or a well-connected composite steel deck slab. A rigid diaphragm distributes story shear to the vertical lateral elements in proportion to their relative rigidity (stiffness), and also transfers torsional shear if the center of rigidity and center of mass don't coincide. A diaphragm is flexible (bare steel deck without adequate topping, or a wood diaphragm) if its own deflection is large relative to the story drift — a flexible diaphragm instead distributes shear to vertical elements by tributary area, like a simple beam spanning between the lines, ignoring relative stiffness and torsion.
Where the vertical lateral elements are not uniformly distributed under the diaphragm (e.g., a braced bay is offset from a re-entrant corner, or a lateral line stops at one level and must "transfer" to a different line below), the diaphragm must collect the distributed shear along a wall or frame line and deliver it as a concentrated axial force to the vertical element. A collector (also called a drag strut) is the beam or added steel member designed to carry this axial "dragged" force in tension and compression, in addition to its normal gravity bending. Collector forces are frequently amplified by the seismic overstrength factor Ω0 (ASCE 7 §12.10.2.1) because collector failure is a non-ductile, brittle failure mode that must be protected against yielding of the ductile lateral system elsewhere.
The classic "sweet spot" for typical office/commercial steel is roughly a 30 ft × 40–45 ft bay: wide enough to minimize the number of columns (and their foundations), narrow enough that beam and deck sizes stay light and deflection-controlled rather than strength-controlled.
Buildings longer than roughly 200–300 ft (IBC/AISC rule-of-thumb, varies by climate and cladding type) are typically split by a full structural expansion joint — two independent structural frames placed close together with a gap — to accommodate thermal expansion/contraction and to limit differential movement demands on cladding, MEP, and finishes. Expansion joints also often mark a natural break for lateral system redundancy: each independent structure needs its own complete, self-sufficient lateral system, since forces cannot reliably transfer across the joint.
Higher R means lower design seismic force but demands more ductile detailing (capacity design of connections and adjoining members per AISC 341) — R is a "discount" for guaranteed ductile behavior, not a free reduction in actual earthquake demand.
A framing system's cost and schedule depend heavily on how it goes together in the field, not just its steel weight. Considerations include: connection standardization (repeating a handful of connection types across the whole building speeds shop fabrication and field erection); temporary bracing/stability of columns before the permanent bracing or diaphragm is installed (governed by AISC's Code of Standard Practice and OSHA erection requirements); crane reach and lift weight limiting maximum piece size, especially for long-span trusses; and pour sequencing for composite floors so that shoring/re-shoring, if used, does not overload lower floors.
| Name | Equation | AISC Ref |
|---|---|---|
| Design strength | φ Rn ≥ Ru | AISC 360-22 B3.1 |
Problem statement. Design the ground-floor segment of an interior gravity column in Cardinal Square. Tributary area per floor is 30 ft × 30 ft = 900 ft². Floor dead load D = 75 psf, floor live load Lo = 50 psf (office). Roof dead Dr = 40 psf, roof live Lr,o = 20 psf. The column supports the roof plus five floors. Story height 13 ft, pinned top and bottom, braced in both directions by the CBF system. Use ASTM A992 (Fy = 50 ksi).
Engineering interpretation: live-load reduction cut the base live load from 50 psf to 20 psf — a 60% reduction that removed 135 kips from the column. That is not a loophole; it is a statistical statement that 4,500 ft² of office floor is never simultaneously loaded to its design intensity. Note the 0.40Lo floor kicked in at three floors and never released, so levels 2–4 all use the same 20 psf. In practice you standardize column sizes over two-story lifts (splices every other floor) to keep the erection simple, so this W14×68 would run from the base to Level 3.
Problem statement. The roof-level lateral force in the E-W direction is Fx = 95 kips. The 120 ft × 90 ft concrete-on-metal-deck diaphragm is rigid. Two identical E-W chevron frames sit on grid lines at y = 0 and y = 90 ft; two identical N-S frames sit at x = 0 and x = 120 ft. All four frames have equal rigidity R = 1.0 (relative). Determine the design shear in one E-W frame including ASCE/SEI 7 accidental torsion.
Engineering interpretation: the torsional penalty is small here because the frames are pushed to the perimeter. Move the braced bays inboard — say to d = ±20 ft — and J collapses to 800 + 7,200 = 8,000, the torsional shear jumps to 570(20)/8,000 = 1.43 k but the N-S frames now soak up an outsized share and the building becomes torsionally soft. The design lesson is geometric, not numerical: put lateral stiffness as far from the centre of rigidity as the architecture allows. A flexible diaphragm would change everything — force would distribute by tributary area, not rigidity, and torsion would not be transferred at all.
Problem statement. Design the diagonal braces for a chevron (inverted-V) braced bay carrying a design story shear V = 100 kips. Bay width 30 ft, story height 13 ft, so each half-bay diagonal spans from a base corner to the beam midpoint. Braces are ASTM A500 Gr. C round/square HSS (Fy = 50 ksi for round, 50 ksi for square Gr. C — use Fy = 46 ksi for A500 Gr. B square as noted). Pinned ends, K = 1.0.
Engineering interpretation: notice the brace is in the elastic-buckling range (Lc/r = 127) — it is a slender strut, and the design is driven entirely by stiffness, not strength. The tension capacity (218 k) is more than triple the compression capacity (74 k). That asymmetry is the whole story of chevron bracing and the reason the unbalanced-load check exists: the two braces of a chevron are not equal partners. If the unbalanced beam becomes uneconomical, switch to a two-story X or a single diagonal, which self-balance.
Problem statement. The roof diaphragm force in the E-W direction is Fpx = 95 kips, distributed uniformly along the 90 ft depth of the building. It must be delivered into a 30 ft wide braced bay located at the middle of a 90 ft long collector line. Determine the maximum collector axial force, apply the seismic overstrength factor Ω0, and verify the existing W21×44 floor beam (Ag = 13.0 in², A992) can serve as the collector.
Engineering interpretation: collectors are the most commonly overlooked element in a lateral system, and the failure mode is not the member — the member is almost always a gravity beam with enormous spare axial capacity. The failure mode is the connection. A standard shear tab designed for 30 kips of vertical reaction has essentially no axial capacity, and that is exactly what the collector needs. When you designate a beam as a collector, you must go back and redesign its end connections, its gusset interface, and the shear studs that transfer the diaphragm force into it. That is why ASCE 7 puts Ω0 on collectors: it forces the load path to stay elastic all the way from the slab to the brace.
Each example mirrors the NCEES FE Civil Reference Handbook style: brief givens, a labeled figure, AISC section reference, step-by-step numeric solution, and a single boxed answer.

These questions reference AISC Steel Construction Manual (16th ed.) — sections, equations, and tables are cited explicitly. Use a calculator. Each question offers a clue you may reveal before answering. Submissions are recorded to your account once signed in.
Attach your handwritten or typed step-by-step solution for this chapter's graded quiz. The instructor can download every submission. PDF only, up to 25 MB.
Your file — PDF, Word document, scanned handwriting or a photo — is read page by page like an experienced structural engineering instructor would. The scan is validated first, then your reasoning, structural model, calculations, diagrams, code basis and final answers are graded on process, not just the final number. Design work is additionally reviewed against AISC 360-22 and ACI 318-19. Partial credit applies, and one early mistake carried correctly forward is only penalized once.
Calculator tips coming soon.
Traps coming soon.
Aim for ~3 minutes per FE problem; skip and return to any item that takes longer than 5 minutes.