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CEGR 493
Design
Week 6
structural
Structural Design Office
Capstone II dashboard

Progressive Collapse

Evaluates the structure for progressive (disproportionate) collapse resistance under an abnormal loss-of-member event.

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Structural Engineering · Load path, member selection, connections and limit-state verification to AISC, ACI and ASCE 7.

Deliverable: Alternate-path progressive collapse check memo for one notional member removal scenario.

Minimum tables, figures and equations for Progressive Collapse

Tables — at least 6

  • Table — trial sections or sizes considered, with the capacity of each and the selection decision
  • Table — final selected geometry for every element: dimensions, thickness, grade, spacing, elevation
  • Table — ultimate limit state check summary: demand, capacity, ratio, pass or fail, governing clause
  • Table — serviceability check summary: deflection, crack width, settlement, freeboard or velocity against its limit
  • Table — factors of safety achieved against the factor required, per failure mode
  • Table — strength, service, fatigue and extreme-event checks with ratios

Figures — at least 5

  • Figure — free body diagram of each isolated element, fully labelled with loads, reactions, dimensions and axes
  • Figure — shear and moment (or pressure and velocity) diagrams for each force-carrying element
  • Figure — dimensioned section or plan of each designed element
  • Figure — capacity versus demand plot, interaction diagram, or rating curve as applicable
  • Figure — girder, bearing and substructure elevation with dimensions

Equations — at least 7

  • Equation — equilibrium equations written out for each free body (sum of forces and sum of moments, or continuity and energy)
  • Equation — the internal force relations V(x) and M(x), or the momentum/thrust relation, used to compute each element's demand
  • Equation — the resulting demand at the critical section of each element, with numeric substitution
  • Equation — the capacity expression for each element type, shown with full numeric substitution and units
  • Equation — the sizing criterion that sets the final dimension (for example required area, depth or diameter)
  • Equation — each limit state check written as demand over capacity with numbers substituted
  • Equation — the factor of safety calculation for each failure mode checked

Number every table and figure (Table 4.x, Figure 4.x), caption it, and refer to it by number in your text. Number displayed equations and show the substitution with units. These counts are minimums — add whatever else your design needs.

Engineering documentation standard — required in every Chapter 4 subsection

These rules are graded on every subsection. Work that misses them is capped on technical accuracy, exhibits, codes and communication, whatever the quality of the prose.

Code and standard references

  • Every requirement, factor, coefficient, limit and allowable you apply cites the governing document AND the exact section, article or sub-article number — e.g. ACI 318-19 §22.5.5.1, AISC 360-22 Chapter J, Section J3.6, AASHTO LRFD 10th Ed. Article 3.6.1.2.2, ASCE 7-22 §12.8.1, ASTM D2487, state DOT manual section, local stormwater manual chapter.
  • Give the edition or year of every document the first time it appears, then use a consistent short form.
  • Where a code equation is used, quote the equation number (e.g. Eq. 22.5.5.1) next to your displayed equation.
  • Where you depart from a code provision, state the clause you are departing from and the engineering justification.
  • List every code, standard and manual actually used in a Codes and Standards table at the start of the subsection.

Citations for statements

  • Every statement of fact, value taken from elsewhere, material property, soil parameter, rainfall depth, unit cost or published method carries an in-text citation (APA) to its source.
  • Field and lab data cite the report, boring log, gauge, survey file or test number and its date.
  • Manufacturer data cites the product literature and revision date; software results cite the program, version and model file name.
  • Uncited assertions are treated as assumptions and must appear in the assumptions table with a justification.
  • Every in-text citation resolves to a full entry in the reference list.

Step-by-step calculations

  • Structure every calculation the same way: (1) objective, (2) governing code clause, (3) equation in symbolic form with the equation number, (4) definition of each symbol, (5) numerical substitution, (6) result with units, (7) comparison against the limit and the pass/fail statement.
  • Show the substitution line — never jump from the formula to the answer.
  • Number displayed equations sequentially (Eq. 4.1, 4.2, …) and refer to them by number in the text.
  • State the load or flow combination governing each calculation by name.
  • Carry consistent significant figures and round only at the reported result; state the rounding convention once.
  • Present repetitive element checks in a calculation table with one row per element and the same column order throughout.

Free body diagrams and figures

  • Draw a separate free body diagram for each isolated element — no combined sketches standing in for several members.
  • Dimension every FBD: span, depth, thickness, cover, eccentricity, embedment, slope, pipe diameter, wall height — with the dimension lines and values shown.
  • Label every force, pressure, reaction and moment with its symbol, magnitude and units, and show the sign convention and coordinate axes.
  • Show supports and boundary conditions explicitly (pin, roller, fixed, elastic, buoyant, hydrostatic).
  • Accompany each FBD with its shear, moment, thrust, pressure or hydraulic grade diagram at the same scale reference.
  • Number and caption every figure (Figure 4.x) and refer to it by number in the narrative; add a scale or north arrow to plans.

Units and notation

  • Every number in text, tables, figures and equations carries its unit — no bare numbers.
  • Use one unit system throughout (US customary or SI); if both appear, give the converted value in parentheses consistently.
  • Check dimensional homogeneity of each equation and say so — the units of both sides must match.
  • Provide a nomenclature table defining every symbol with its unit.

Checking and verification

  • Every calculation is checked by an independent route — hand check against software, alternative method, order-of-magnitude estimate, or a published worked example — and the check is shown, not just claimed.
  • Report demand-to-capacity ratios and factors of safety against the required values, with the source clause for each required value.
  • Include a verification/checking table: item, method of check, expected, obtained, difference, accept or revise.
  • Sanity-check every result (magnitude, direction, plausibility) and state the conclusion.
  • Record who checked the work and on what date; flag anything still unverified as an open item.
  • State limitations and the range over which the result is valid.

How to complete this section

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Do this next: Read the Progressive Collapse lecture and the worked example so you know what "Alternate-path progressive collapse check memo for one notional member removal scenario." has to contain.

Not sure how to start or how much depth is expected? Read the fully written model example for this deliverable first — it shows the structure, tables and level of justification your advisor grades against.

Structural Design Office — what this workspace teaches

Load path, member selection, connections and limit-state verification to AISC, ACI and ASCE 7.

  • ASCE 7 load derivation: dead, live, snow, wind and seismic
  • LRFD and ASD load combinations and which governs
  • AISC steel member design: flexure, shear, compression, stability
  • ACI concrete design: flexure, shear, development, detailing
  • Load path and lateral force-resisting systems
  • Connection design: bolted, welded, base plates, force transfer
  • Failure modes: yielding, rupture, buckling, punching, bearing
  • Serviceability: deflection, vibration, drift limits
  • Constructability, durability and structural alternatives

End-of-term milestones

  • Tuesday, November 17, 2026 — Poster printed and ready. 36 in × 48 in poster finalized and printed one week before the November 24 showcase.
  • Wednesday, November 18, 2026 — Final document package uploaded for scoring. Chapters 4–5, calculation package, drawings and appendices uploaded in the app for advisor scoring.
  • Wednesday, November 18, 2026 — Poster presentation to faculty and industry. Wednesday poster session — printed 36 in × 48 in poster presented in person; industry reviewers score communication and impact.
  • Wednesday, November 25, 2026 — Oral presentation and defense (scored). Scored oral presentation and defense held on Wednesday, November 25.
Week 6
structural
Structural and Bridge

Progressive Collapse

Evaluates the structure for progressive (disproportionate) collapse resistance under an abnormal loss-of-member event.

Section B

Engineering story

A real project situation that frames this module

Week 6: progressive collapse is the item standing between the team and a reviewable calculation package and framing drawings. Evaluates the structure for progressive (disproportionate) collapse resistance under an abnormal loss-of-member event. Review stalls on a single line: the team cannot show the record behind direct design (tie forces) vs.

The team treats notional member removal and dynamic increase factor (DIF) as a background assumption instead of an input that must be established and recorded. The result is an element loaded beyond its governing limit state, discovered only after the design of record that drawings, quantities and cost are generated from has already been built on it.

Building occupants, erection crews and the structural engineer of record carry the consequence. On this module specifically, the exposure runs through threat-independent design per DoD UFC 4-023-03 / GSA guidelines, and the cost of correction rises every week the calculation package and framing drawings moves closer to issue.

Decisions the engineer must make

  • What record establishes direct design (tie forces) vs, and is that record in the project data inventory?
  • Which adopted document governs this decision, and who confirmed it applies in this jurisdiction?
  • What is the acceptance criterion for notional member removal and dynamic increase factor (DIF), and was it written before the result was known?
  • Is DCRLD = QUD/QCE ≤ acceptance limit valid over the parameter range this project actually occupies?
  • If the check fails, does the team revise the calculation package and framing drawings or raise a change request against the locked baseline?
Three engineers in hard hats and safety vests reviewing drawings on a truck tailgate.

Photo 1. Field review: the conversation in which a scope, a constraint or a decision is actually settled.

Capstone Studio instructional photograph

Section C

Why this matters

Professional

Progressive Collapse is judged on whether an independent engineer can follow your reasoning to the same conclusion. Your alternate-path progressive collapse check memo for one notional member removal scenario. is the evidence that they can.

Technical

Direct design (tie forces) vs is what makes DCRLD = QUD/QCE ≤ acceptance limit usable on this project rather than a formula copied from a reference. Get it wrong and every quantity derived from it is wrong by the same factor.

Safety

The failure mode this module guards against is an element loaded beyond its governing limit state. It reaches people through key element design for structures with disproportionate collapse risk, which is why the safety check is recorded explicitly here rather than inferred from a passing strength or performance check.

Economic

The design of record that drawings, quantities and cost are generated from is priced from this work. Quantities, unit costs and schedule float all trace to direct design (tie forces) vs; a late correction here is paid for as a change order, not a redline.

Environmental

Environmentally, this module fixes embodied carbon in concrete and steel, and the demolition waste of a redesign. Choosing conservatively without justification is not free — the excess shows up as material, energy and land that the project consumes for no measurable gain.

Community

Progressive collapse design requirements in modern codes trace directly to this documented failure Occupants who rely on the structure performing through its design life and design event live with that outcome long after the semester ends.

Section D

Learning objectives

By the end of this module you will be able to:

  1. 1.Compare direct design (tie forces) vs, using this project's own conditions rather than a textbook case.
  2. 2.Analyze notional member removal and dynamic increase factor (DIF), using this project's own conditions rather than a textbook case.
  3. 3.Justify threat-independent design per DoD UFC 4-023-03 / GSA guidelines, using this project's own conditions rather than a textbook case.
  4. 4.Explain structural redundancy and robustness as design objectives, using this project's own conditions rather than a textbook case.
  5. 5.Compute the governing quantity from DCRLD = QUD/QCE ≤ acceptance limit, with a unit audit on every term.
  6. 6.Produce alternate-path progressive collapse check memo for one notional member removal scenario. at a standard the plan reviewer at the building department would accept without a second revision cycle.

Section E

Instructional content

Full lecture notes with figures and governing equations

Reading progressive collapse as a practising engineer

Evaluates the structure for progressive (disproportionate) collapse resistance under an abnormal loss-of-member event. That single sentence hides the substance of the module: direct design (tie forces) vs, and notional member removal and dynamic increase factor (DIF). Both must be established from project evidence before anything downstream is credible.

In structural engineering, this work is the input to the calculation package and framing drawings. Threat-independent design per DoD UFC 4-023-03 / GSA guidelines — which is why this page asks you to record the source of every quantity, not just its value. The design of record that drawings, quantities and cost are generated from depends on it.

  • Direct design (tie forces) vs. indirect design (alternative path) methods
  • Notional member removal and dynamic increase factor (DIF)
  • Threat-independent design per DoD UFC 4-023-03 / GSA guidelines
  • Structural redundancy and robustness as design objectives
  • Key element design for structures with disproportionate collapse risk
FIGURE 1Excavate1Form & rebar2Pour3Cure4Backfill5construction sequence / time1Notional member removed2Alternate load path3Tie force4Dynamic increase factor5Key element6Redistributed demand
Figure 1. Progressive Collapse — annotated engineering schematic showing the governing quantities carried through this module.Read this figure alongside the theory block: every labelled quantity must appear in your calculation package with a unit and a source.
Three engineers in hard hats and safety vests reviewing drawings on a truck tailgate.

Photo 1. Reading progressive collapse as a practising engineer in practice — Field review: the conversation in which a scope, a constraint or a decision is actually settled.

Capstone Studio instructional photograph

Governing relationships and how they are applied here

The relationships below govern progressive collapse. DCRLD = QUD/QCE ≤ acceptance limit — each is valid only inside the parameter range this project occupies, so state that range before substituting.

Notional member removal and dynamic increase factor (DIF) sets the values you place into these expressions. Any prescribed factor must be traced to the document your jurisdiction adopted, not to a lecture slide.

DCRLD = QUD/QCE ≤ acceptance limit

  • Demand-capacity ratio for linear static alternate path analysis, GSA methodology
Three engineers in hard hats and safety vests reviewing drawings on a truck tailgate.

Photo 2. Governing relationships and how they are applied here in practice — Field review: the conversation in which a scope, a constraint or a decision is actually settled.

Capstone Studio instructional photograph

Constraints, adopted standards and the safety case for progressive collapse

No single code section governs this module, so the constraint set comes from the approved proposal, the owner's requirements and professional practice. Write those constraints down; an unwritten constraint is not enforceable at review.

The safety case is explicit here. The failure mode is an element loaded beyond its governing limit state; the people exposed are building occupants, erection crews and the structural engineer of record; the control that prevents it is key element design for structures with disproportionate collapse risk together with an independent check by someone who did not perform the work.

  • Controlling criterion for this module: direct design (tie forces) vs.
  • Adopted reference: confirm with the jurisdiction before you rely on it.
  • Failure mode guarded: an element loaded beyond its governing limit state.
  • Evidence produced: Alternate-path progressive collapse check memo for one notional member removal scenario..
FIGURE 2Confirm inputs and sourcesSelect governing standardAnalyze / designCheck units and equilibriumIndependent checkAccept or revise
Figure 2. Progressive Collapse — professional workflow from inputs through acceptance.The revise loop is normal. Reviewers expect to see it in your version history.
Three engineers in hard hats and safety vests reviewing drawings on a truck tailgate.

Photo 3. Constraints, adopted standards and the safety case for progressive collapse in practice — Field review: the conversation in which a scope, a constraint or a decision is actually settled.

Capstone Studio instructional photograph

Where this method stops being valid

Every method has a domain of validity. State the range of geometry, loading, material behaviour or flow regime over which your approach holds, and state what you would do instead beyond it.

For this project, the boundary you are most likely to push is key element design for structures with disproportionate collapse risk. If you cross it, say so in writing, bound the error, and carry the limitation into your results chapter. A disclosed limitation is professional practice; a silent extrapolation is not.

Concrete cylinder under axial load in a compression testing machine.

Photo 4. Where this method stops being valid in practice — Compression test on a concrete cylinder: the measurement behind every f′c used in design.

Wikimedia Commons, public domain

Section F

Engineering workflow

Steps

  1. 1. Assemble the inputs this module needs — direct design (tie forces) vs; notional member removal and dynamic increase factor (DIF) — each with a unit and a source record.
  2. 2. Confirm which document governs, and record who verified that it applies here.
  3. 3. State the assumptions and the acceptance criterion for direct design (tie forces) vs.
  4. 4. Evaluate DCRLD = QUD/QCE ≤ acceptance limit term by term, carrying one extra significant figure.
  5. 5. Test the result against threat-independent design per DoD UFC 4-023-03 / GSA guidelines.
  6. 6. Audit units and run an order-of-magnitude check by hand before the number leaves your desk.
  7. 7. Obtain an independent check from a teammate who did not perform the work, and record their name and date.
  8. 8. Assemble alternate-path progressive collapse check memo for one notional member removal scenario. and submit it to the plan reviewer at the building department for review.

Decision points

  • Is every input behind direct design (tie forces) vs traceable? If not — stop and collect the record.
  • Does the result satisfy notional member removal and dynamic increase factor (DIF)? If not — revise the work, never the criterion.
  • Would the correction change the design of record that drawings, quantities and cost are generated from? If yes — raise a change-control request before proceeding.

Quality checklist

  • Documented: direct design (tie forces) vs
  • Documented: notional member removal and dynamic increase factor (DIF)
  • Documented: threat-independent design per DoD UFC 4-023-03 / GSA guidelines
  • Governing document cited
  • Units audited on every expression
  • Acceptance criterion recorded before the result
  • Independent check signed and dated
  • Alternate-path progressive collapse check memo for one notional member removal scenario. attached and named per the course convention

Section H

Interactive visualization

Progressive Collapse — step-through

Advance one frame at a time. Each frame adds one engineering decision to the previous state.

Stepwise reveal

Step 1 of 6

Start from the confirmed inputs: geometry, materials, loads or flows, each with a source.

Section I

Applicable codes and standards

Section J

Worked examples

Full engineering solution format

Section K

Common mistakes and how to avoid them

  • Treating direct design (tie forces) vs as a given instead of establishing it from a project record.
  • Producing alternate-path progressive collapse check memo for one notional member removal scenario. without showing how notional member removal and dynamic increase factor (DIF) was satisfied.
  • Substituting into DCRLD = QUD/QCE ≤ acceptance limit outside the range where it is valid, and reporting the number anyway.
  • Missing key element design for structures with disproportionate collapse risk, which is exactly the path to an element loaded beyond its governing limit state.
  • Designing to the average condition when the governing condition is the controlling one.
  • Freezing a design before the constructability and access review that would have changed it.
  • Reporting numbers without units, or mixing US customary and SI inside a single calculation chain.
  • Citing the wrong edition of a standard, or citing a standard that does not govern the jurisdiction.
  • Leaving boundary conditions undefined so the model is not reproducible by an independent checker.

Section L

Industry case study

Ronan Point Progressive Collapse (London, 1968)

22-story precast concrete panel residential tower

Official findings

  • UK inquiry found a gas explosion blew out a load-bearing precast panel, causing a corner of the building to progressively collapse due to lack of alternate load paths

Field observations

  • The controlling assumption was documented nowhere in the design record.
  • No independent check existed at the stage where the error entered the work.

Engineering interpretation

  • Interpretation below is student analysis for instructional purposes, not an official finding.
  • Map the failure to a step in your own workflow and state where your process would have caught it.

Lessons learned

  • Progressive collapse design requirements in modern codes trace directly to this documented failure

Source: Summarize the published investigation; cite it in your reference list. Do not reproduce copyrighted report text.

Section M

FE Civil exam connection

Handbook FE Reference Handbook — structural engineering section (record the section number from your handbook edition).

Exam topics

structural engineering fundamentals

Handbook formulas

  • DCRLD = QUD/QCE ≤ acceptance limit

Weak results here feed your FE Civil Academy weak-area queue for targeted practice.

Question 1 of 2

Score: 0/2

In progressive collapse, which item must be established BEFORE the analysis is run?

Section N

Apply it to your project — Progressive Collapse

Complete this using your own capstone project data. Every field is saved to your project record and routed to your advisor with this module's submission.

Inputs and sources

Every value needs a traceable source.

QuantityValueUnitSource / record

Assumptions and consequences

AssumptionBasisConsequence if wrong

Self-check before submission

Section O

Design challenge

Consulting challenge — Progressive Collapse

Your firm has been retained to deliver the progressive collapse scope for a municipal client on a compressed schedule. Produce the technical position your firm would defend at a public meeting.

Client request: The client wants a defensible recommendation, the basis of design, and an honest statement of what remains unresolved.

Constraints

  • Adopted local code edition governs; no exceptions without written variance.
  • Budget and schedule are fixed; scope changes require change control.
  • Public safety and accessibility requirements are non-negotiable.

Deliverables

  • One-page basis of design
  • Supporting calculation extract
  • Risk and limitation statement

Evaluation

  • Technical correctness
  • Standard compliance
  • Clarity of engineering judgment
  • Honest treatment of uncertainty

Section P

Documentation workspace

Write the report section for this module in the academic editor

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Section Q

File uploads

Accepted: PDF, DOCX, XLSX, CSV, PNG, JPG, ZIP

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Section R

Deliverable and advisor review

Alternate-path progressive collapse check memo for one notional member removal scenario.

Engineering design
Technical analysis
Code compliance
Calculation quality
Drawings

Submissions route to your assigned faculty advisor and are scored independently by faculty and administrator rubrics.

Reflection

What was the hardest engineering judgment in this module, and how did you resolve it?

Section S

ABET outcome mapping

SO 1
CE-PC1
reinforced

Alternate-path progressive collapse check memo for one notional member removal scenario. with advisor review and dual scoring.

Assessment: Faculty rubric score and administrator rubric score on this module's submission.

Rubric: Engineering design · Target: 70% of students at or above 'meets expectations'.

Section T

References and further study

template

Progressive Collapse — instructor design procedure

Course template for the calculation package format expected in the final report appendix.

manual

NCEES FE Reference Handbook

Locate the equations used here and note the handbook section for exam recall.

template

Advisor meeting agenda item

Bring the unresolved decision from this module to your next weekly advisor meeting.

Week 6 · Alternate-path progressive collapse check memo for one notional member removal scenario.
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