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CEGR 493
Design
Week 5
structural
Structural Design Office
Capstone II dashboard

Connection Design

Designs bolted and welded connections that transfer the demands established by the load path analysis.

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

Deliverable: Connection design calculations (bolted and welded) for the governing member-to-member joint.

Minimum tables, figures and equations for Connection Design

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 Connection Design lecture and the worked example so you know what "Connection design calculations (bolted and welded) for the governing member-to-member joint." 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 5
structural
Structural and Bridge

Connection Design

Designs bolted and welded connections that transfer the demands established by the load path analysis.

Section B

Engineering story

A real project situation that frames this module

Week 5: connection design is the item standing between the team and a reviewable calculation package and framing drawings. Designs bolted and welded connections that transfer the demands established by the load path analysis. Review stalls on a single line: the team cannot show the record behind bolt shear, bearing, and slip-critical design per AISC 360.

The team treats fillet weld design strength and effective throat 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 simple shear connections vs, 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 bolt shear, bearing, and slip-critical design per AISC 360, and is that record in the project data inventory?
  • Does AISC 360-22 (2022), Ch. J, govern here — and is that the edition adopted by the jurisdiction?
  • What is the acceptance criterion for fillet weld design strength and effective throat, and was it written before the result was known?
  • Is φRn = φ·Fnv·Ab (bolt shear) 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?
Truck-mounted drill rig taking a soil boring beside a bridge, with sample jars in the foreground.

Photo 1. Subsurface investigation: SPT samples and the boring log that every geotechnical number traces back to.

Capstone Studio instructional photograph

Section C

Why this matters

Professional

A licensed engineer defending connection design cites AISC 360-22 (2022), Ch. J, and shows the record behind each input. Your connection design calculations (bolted and welded) for the governing member-to-member joint. is reviewed the same way — traceability is assessed before arithmetic.

Technical

Bolt shear, bearing, and slip-critical design per AISC 360 is what makes φRn = φ·Fnv·Ab (bolt shear) 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 connection design demand should be capacity-designed, not just code-minimum, 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 bolt shear, bearing, and slip-critical design per AISC 360; 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

Connection design errors can remain latent for decades without an independent check 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.Interpret bolt shear, bearing, and slip-critical design per AISC 360, using this project's own conditions rather than a textbook case.
  2. 2.Apply fillet weld design strength and effective throat, using this project's own conditions rather than a textbook case.
  3. 3.Compare simple shear connections vs, using this project's own conditions rather than a textbook case.
  4. 4.Analyze whitmore section and block shear checks on gusset plates, using this project's own conditions rather than a textbook case.
  5. 5.Compute the governing quantity from φRn = φ·Fnv·Ab (bolt shear) and φRn = φ·0.60·FEXX·(0.707·w)·L (fillet weld), with a unit audit on every term.
  6. 6.Apply AISC 360-22 (2022), Ch. J, and cite the section that governs your acceptance decision.
  7. 7.Produce connection design calculations (bolted and welded) for the governing member-to-member joint. 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 connection design as a practising engineer

Designs bolted and welded connections that transfer the demands established by the load path analysis. That single sentence hides the substance of the module: bolt shear, bearing, and slip-critical design per AISC 360, and fillet weld design strength and effective throat. 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. Simple shear connections vs — 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.

  • Bolt shear, bearing, and slip-critical design per AISC 360
  • Fillet weld design strength and effective throat
  • Simple shear connections vs. moment connections
  • Whitmore section and block shear checks on gusset plates
  • Connection design demand should be capacity-designed, not just code-minimum
FIGURE 1N.A.bh1Bolt group2Gusset plate3Fillet weld4Whitmore section5Block shear plane6Shear plane
Figure 1. Connection Design — 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.
Truck-mounted drill rig taking a soil boring beside a bridge, with sample jars in the foreground.

Photo 1. Reading connection design as a practising engineer in practice — Subsurface investigation: SPT samples and the boring log that every geotechnical number traces back to.

Capstone Studio instructional photograph

Governing relationships and how they are applied here

The relationships below govern connection design. φRn = φ·Fnv·Ab (bolt shear); φRn = φ·0.60·FEXX·(0.707·w)·L (fillet weld) — each is valid only inside the parameter range this project occupies, so state that range before substituting.

Fillet weld design strength and effective throat sets the values you place into these expressions. Any code-prescribed factor must match AISC 360-22 (2022); a factor lifted from a different edition silently changes the answer.

φRn = φ·Fnv·Ab (bolt shear)

  • φ = 0.75
  • Fnv — nominal shear stress of bolt
  • Ab — bolt area

φRn = φ·0.60·FEXX·(0.707·w)·L (fillet weld)

  • FEXX — electrode strength
  • w — weld leg size
  • L — weld length
Bolted connection at the bottom chord of a steel truss bridge.

Photo 2. Governing relationships and how they are applied here in practice — Bolted steel connection — the detail that must deliver the force the member analysis assumed.

HAER / Library of Congress, public domain

Constraints, adopted standards and the safety case for connection design

AISC 360-22 (2022), Ch. J, governs this module: Connection design: bolts, welds, block shear AWS D1.1 (2020), Ch. 2, adds the second constraint: Structural welding code — steel

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 connection design demand should be capacity-designed, not just code-minimum together with an independent check by someone who did not perform the work.

  • Controlling criterion for this module: bolt shear, bearing, and slip-critical design per AISC 360.
  • Adopted reference: AISC 360-22 (2022) — cite Ch. J by number.
  • Failure mode guarded: an element loaded beyond its governing limit state.
  • Evidence produced: Connection design calculations (bolted and welded) for the governing member-to-member joint..
FIGURE 2Confirm inputs and sourcesSelect governing standardAnalyze / designCheck units and equilibriumIndependent checkAccept or revise
Figure 2. Connection Design — professional workflow from inputs through acceptance.The revise loop is normal. Reviewers expect to see it in your version history.
Bolted connection at the bottom chord of a steel truss bridge.

Photo 3. Constraints, adopted standards and the safety case for connection design in practice — Bolted steel connection — the detail that must deliver the force the member analysis assumed.

HAER / Library of Congress, public domain

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 connection design demand should be capacity-designed, not just code-minimum. 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.

Bolted connection at the bottom chord of a steel truss bridge.

Photo 4. Where this method stops being valid in practice — Bolted steel connection — the detail that must deliver the force the member analysis assumed.

HAER / Library of Congress, public domain

Section F

Engineering workflow

Steps

  1. 1. Assemble the inputs this module needs — bolt shear, bearing, and slip-critical design per AISC 360; fillet weld design strength and effective throat — each with a unit and a source record.
  2. 2. Confirm AISC 360-22 (2022) is the adopted edition and locate Ch. J.
  3. 3. State the assumptions and the acceptance criterion for bolt shear, bearing, and slip-critical design per AISC 360.
  4. 4. Evaluate φRn = φ·Fnv·Ab (bolt shear) and φRn = φ·0.60·FEXX·(0.707·w)·L (fillet weld) term by term, carrying one extra significant figure.
  5. 5. Test the result against simple shear connections vs.
  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 connection design calculations (bolted and welded) for the governing member-to-member joint. and submit it to the plan reviewer at the building department for review.

Decision points

  • Is every input behind bolt shear, bearing, and slip-critical design per AISC 360 traceable? If not — stop and collect the record.
  • Does the result satisfy fillet weld design strength and effective throat? 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: bolt shear, bearing, and slip-critical design per AISC 360
  • Documented: fillet weld design strength and effective throat
  • Documented: simple shear connections vs
  • AISC 360-22 Ch. J cited by section number
  • Units audited on every expression
  • Acceptance criterion recorded before the result
  • Independent check signed and dated
  • Connection design calculations (bolted and welded) for the governing member-to-member joint. attached and named per the course convention

Section H

Interactive visualization

Connection Design — 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

AISC 360-22

2022 · Ch. J

Adopted design/analysis reference governing this module.

Relevance: Connection design: bolts, welds, block shear

Reference the section number and edition in your calculation package. Do not reproduce code text.

AWS D1.1

2020 · Ch. 2

Adopted design/analysis reference governing this module.

Relevance: Structural welding code — steel

Reference the section number and edition in your calculation package. Do not reproduce code text.

Section J

Worked examples

Full engineering solution format

Section K

Common mistakes and how to avoid them

  • Treating bolt shear, bearing, and slip-critical design per AISC 360 as a given instead of establishing it from a project record.
  • Producing connection design calculations (bolted and welded) for the governing member-to-member joint. without showing how fillet weld design strength and effective throat was satisfied.
  • Substituting into φRn = φ·Fnv·Ab (bolt shear) outside the range where it is valid, and reporting the number anyway.
  • Missing connection design demand should be capacity-designed, not just code-minimum, 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.
  • Ignoring constructability: a design that cannot be built safely is not a completed design.
  • Omitting the safety check because the strength check passed.
  • Referencing figures, tables, or sources that never appear in the reference list.

Section L

Industry case study

I-35W Mississippi River Bridge Collapse (Minneapolis, 2007)

Gusset plate connections in a steel deck truss

Official findings

  • NTSB investigation measured gusset plates at 0.5 in where 1.0 in was required by the original design calculation

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

  • Connection design errors can remain latent for decades without an independent check

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

  • φRn = φ·Fnv·Ab (bolt shear)
  • φRn = φ·0.60·FEXX·(0.707·w)·L (fillet weld)

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

Question 1 of 2

Score: 0/2

In connection design, which item must be established BEFORE the analysis is run?

Section N

Apply it to your project — Connection Design

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 — Connection Design

Your firm has been retained to deliver the connection design 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

Connection design calculations (bolted and welded) for the governing member-to-member joint.

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
CE-PC2
reinforced

Connection design calculations (bolted and welded) for the governing member-to-member joint. 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

standard

AISC 360-22 (2022)

Adopted reference — cite section numbers, do not reproduce text.

standard

AWS D1.1 (2020)

Adopted reference — cite section numbers, do not reproduce text.

template

Connection Design — 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 5 · Connection design calculations (bolted and welded) for the governing member-to-member joint.
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