Sensor Systems
Specifies the sensor systems used for monitoring or data collection, including accuracy, sampling, and calibration requirements.
Section progress
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Computational Engineering · Build, calibrate, verify and validate the numerical model that supports your design decisions.
Deliverable: Sensor system specification with sampling rate justification, calibration plan, and data QC procedure.
Minimum tables, figures and equations for Sensor Systems
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 — slab, beam, column and shear wall schedule with governing demand
- 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
Figures — at least 4
- 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
Equations — at least 8
- 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
- Equation — punching shear, drift and deflection checks with limits
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
Do this next: Read the Sensor Systems lecture and the worked example so you know what "Sensor system specification with sampling rate justification, calibration plan, and data QC procedure." 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.
Modeling & Simulation Center — what this workspace teaches
Build, calibrate, verify and validate the numerical model that supports your design decisions.
- Selecting analysis software for the engineering question (STAAD, SAP2000, ETABS, HEC-RAS, OpenRoads, Civil3D, ArcGIS, MATLAB, Python)
- Model geometry idealization and simplification
- Boundary conditions, supports, restraints and their effect on results
- Load application and load-case management in software
- Mesh and element selection; convergence studies
- Model calibration against measured or benchmark data
- Sensitivity analysis of governing input parameters
- Verification (solving the equations right) vs. validation (solving the right equations)
- Exporting, documenting and archiving model results
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.
Sensor Systems
Specifies the sensor systems used for monitoring or data collection, including accuracy, sampling, and calibration requirements.
Section B
Engineering story
A real project situation that frames this module
A engineering computation and digital delivery team hits sensor systems in week 5, with the model, dataset and documented computational workflow already promised to the owner. Specifies the sensor systems used for monitoring or data collection, including accuracy, sampling, and calibration requirements. The reviewer starts at the end and works backwards, and the chain breaks at sensor accuracy, precision, resolution and drift specifications.
Selecting a sampling rate without checking the Nyquist criterion against the actual phenomenon frequency. Because sampling rate selection relative to the phenomenon's Nyquist frequency, the error does not stay local: it is carried into the design of record that drawings, quantities and cost are generated from, and every downstream product inherits it before anyone notices.
Every downstream discipline that inherits the model and the engineer who seals it carry the consequence. On this module specifically, the exposure runs through sensor network architecture, and the cost of correction rises every week the model, dataset and documented computational workflow moves closer to issue.
Decisions the engineer must make
- What record establishes sensor accuracy, precision, resolution and drift specifications, and is that record in the project data inventory?
- Does ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)), Sensor selection and SHM system design, govern here — and is that the edition adopted by the jurisdiction?
- What is the acceptance criterion for sampling rate selection relative to the phenomenon's Nyquist frequency, and was it written before the result was known?
- Is Nyquist criterion: fs ≥ 2·fmax valid over the parameter range this project actually occupies?
- If the check fails, does the team revise the model, dataset and documented computational workflow or raise a change request against the locked baseline?
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
A licensed engineer defending sensor systems cites ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)), Sensor selection and SHM system design, and shows the record behind each input. Your sensor system specification with sampling rate justification, calibration plan, and data qc procedure. is reviewed the same way — traceability is assessed before arithmetic.
Technical
Sensor accuracy, precision, resolution and drift specifications is what makes Nyquist criterion: fs ≥ 2·fmax 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 unverified model output accepted as an engineering result. It reaches people through data quality control, 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 sensor accuracy, precision, resolution and drift specifications; a late correction here is paid for as a change order, not a redline.
Environmental
Environmentally, this module fixes decisions on quantity and material that the model silently drives. 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
A monitoring/sensor program targeted at the governing failure mode can provide the early warning that a periodic visual inspection alone may miss. The public that depends on results no one outside the modelling team can reproduce 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.Justify sensor accuracy, precision, resolution and drift specifications, using this project's own conditions rather than a textbook case.
- 2.Evaluate sampling rate selection relative to the phenomenon's Nyquist frequency, using this project's own conditions rather than a textbook case.
- 3.Evaluate sensor network architecture, using this project's own conditions rather than a textbook case.
- 4.Apply calibration schedule and traceability to a reference standard, using this project's own conditions rather than a textbook case.
- 5.Compute the governing quantity from Nyquist criterion: fs ≥ 2·fmax and Measurement uncertainty: σ_y² = Σ(∂f/∂xi)²σi², with a unit audit on every term.
- 6.Apply ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)), Sensor selection and SHM system design, and cite the section that governs your acceptance decision.
- 7.Reproduce the worked example for a vibrating structure has a dominant frequency of 8 Hz and defend the interpretation of the result.
- 8.Produce sensor system specification with sampling rate justification, calibration plan, and data qc procedure. at a standard the independent model checker would accept without a second revision cycle.
Section E
Instructional content
Full lecture notes with figures and governing equations
Sensor Systems: from proposal statement to engineering product
Specifies the sensor systems used for monitoring or data collection, including accuracy, sampling, and calibration requirements. That single sentence hides the substance of the module: sensor accuracy, precision, resolution and drift specifications, and sampling rate selection relative to the phenomenon's Nyquist frequency. Both must be established from project evidence before anything downstream is credible.
In engineering computation and digital delivery, this work is the input to the model, dataset and documented computational workflow. Sensor network architecture — 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.
- Sensor accuracy, precision, resolution and drift specifications
- Sampling rate selection relative to the phenomenon's Nyquist frequency
- Sensor network architecture: wired vs. wireless, power, data logging
- Calibration schedule and traceability to a reference standard
- Data quality control: flagging, gap-filling, and outlier detection
Photo 1. Sensor Systems: from proposal statement to engineering product 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 sensor systems. Nyquist criterion: fs ≥ 2·fmax; Measurement uncertainty: σ_y² = Σ(∂f/∂xi)²σi² — each is valid only inside the parameter range this project occupies, so state that range before substituting.
Sampling rate selection relative to the phenomenon's Nyquist frequency sets the values you place into these expressions. Any code-prescribed factor must match ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)); a factor lifted from a different edition silently changes the answer.
Nyquist criterion: fs ≥ 2·fmax
- fs = sampling frequency
- fmax = highest frequency of interest in the signal
Measurement uncertainty: σ_y² = Σ(∂f/∂xi)²σi²
- σi = uncertainty of input xi
- ∂f/∂xi = sensitivity coefficient
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 sensor systems
ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)), Sensor selection and SHM system design, governs this module: Governs structural monitoring sensor system design ISO 9001 (2015), §8.5.1 — Control of monitoring equipment, adds the second constraint: Governs calibration and traceability of measurement equipment
The safety case is explicit here. The failure mode is an unverified model output accepted as an engineering result; the people exposed are every downstream discipline that inherits the model and the engineer who seals it; the control that prevents it is data quality control together with an independent check by someone who did not perform the work.
- Controlling criterion for this module: sensor accuracy, precision, resolution and drift specifications.
- Adopted reference: ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)) — cite Sensor selection and SHM system design by number.
- Failure mode guarded: an unverified model output accepted as an engineering result.
- Evidence produced: Sensor system specification with sampling rate justification, calibration plan, and data QC procedure..
Photo 3. Constraints, adopted standards and the safety case for sensor systems 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
The worked example — a vibrating structure has a dominant frequency of 8 Hz — holds only while its assumptions hold. The proposed logger will alias the signal; a minimum 16 Hz (practically 32–50 Hz with margin) sampling rate must be specified. Outside that envelope the arithmetic still returns a number, and the number is wrong in a way no unit check will catch.
For this project, the boundary you are most likely to push is data quality control. 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.
Photo 4. Where this method stops being valid in practice — Peak-hour demand: the flow rate that drives capacity, delay and level-of-service analysis.
Wikimedia Commons, CC BY 2.0
Section F
Engineering workflow
Steps
- 1. Assemble the inputs this module needs — sensor accuracy, precision, resolution and drift specifications; sampling rate selection relative to the phenomenon's Nyquist frequency — each with a unit and a source record.
- 2. Confirm ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145)) is the adopted edition and locate Sensor selection and SHM system design.
- 3. State the assumptions and the acceptance criterion for sensor accuracy, precision, resolution and drift specifications.
- 4. Evaluate Nyquist criterion: fs ≥ 2·fmax and Measurement uncertainty: σ_y² = Σ(∂f/∂xi)²σi² term by term, carrying one extra significant figure.
- 5. Test the result against sensor network architecture.
- 6. Audit units and run an order-of-magnitude check by hand before the number leaves your desk.
- 7. Obtain an independent check from a teammate who did not perform the work, and record their name and date.
- 8. Assemble sensor system specification with sampling rate justification, calibration plan, and data qc procedure. and submit it to the independent model checker for review.
Decision points
- Is every input behind sensor accuracy, precision, resolution and drift specifications traceable? If not — stop and collect the record.
- Does the result satisfy sampling rate selection relative to the phenomenon's Nyquist frequency? 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.
- Have you ruled out the most common error on this module — selecting a sampling rate without checking the Nyquist criterion against the actual phenomenon frequency?
Quality checklist
- Documented: sensor accuracy, precision, resolution and drift specifications
- Documented: sampling rate selection relative to the phenomenon's Nyquist frequency
- Documented: sensor network architecture
- ASCE Structural Health Monitoring Manual of Practice Sensor selection and SHM system design cited by section number
- Units audited on every expression
- Acceptance criterion recorded before the result
- Independent check signed and dated
- Sensor system specification with sampling rate justification, calibration plan, and data QC procedure. attached and named per the course convention
Section H
Interactive visualization
Sensor Systems — step-through
Advance one frame at a time. Each frame adds one engineering decision to the previous state.
Step 1 of 6
Identify the phenomenon and required accuracy.
Section I
Applicable codes and standards
ASCE Structural Health Monitoring Manual of Practice
2018 (MOP 145) · Sensor selection and SHM system design
Adopted design/analysis reference governing this module.
Relevance: Governs structural monitoring sensor system design
Reference the section number and edition in your calculation package. Do not reproduce code text.
ISO 9001
2015 · §8.5.1 — Control of monitoring equipment
Adopted design/analysis reference governing this module.
Relevance: Governs calibration and traceability of measurement equipment
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
- Selecting a sampling rate without checking the Nyquist criterion against the actual phenomenon frequency.
- Deploying sensors without a calibration traceability record.
- Ignoring sensor drift over the monitoring period.
- Treating sensor accuracy, precision, resolution and drift specifications as a given instead of establishing it from a project record.
- Producing sensor system specification with sampling rate justification, calibration plan, and data qc procedure. without showing how sampling rate selection relative to the phenomenon's Nyquist frequency was satisfied.
- Substituting into Nyquist criterion: fs ≥ 2·fmax outside the range where it is valid, and reporting the number anyway.
- Missing data quality control, which is exactly the path to an unverified model output accepted as an engineering result.
- 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.
- 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.
- Using inputs that no field record, laboratory report, or published source supports.
Section L
Industry case study
I-35W Mississippi River Bridge Collapse (2007)
Minneapolis, MN
Official findings
- NTSB found undersized gusset plates were a primary cause, and no monitoring system existed to flag the progressive deformation that occurred prior to collapse.
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
- A monitoring/sensor program targeted at the governing failure mode can provide the early warning that a periodic visual inspection alone may miss.
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 — engineering computation and digital delivery section (record the section number from your handbook edition).
Exam topics
Handbook formulas
- Nyquist sampling criterion
- Uncertainty propagation
Weak results here feed your FE Civil Academy weak-area queue for targeted practice.
Question 1 of 2
Score: 0/2In sensor systems, which item must be established BEFORE the analysis is run?
Section N
Apply it to your project — Sensor Systems
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.
| Quantity | Value | Unit | Source / record |
|---|
Assumptions and consequences
| Assumption | Basis | Consequence if wrong |
|---|
Self-check before submission
Section O
Design challenge
Consulting challenge — Sensor Systems
Your firm has been retained to deliver the sensor systems 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
Section Q
File uploads
Accepted: PDF, DOCX, XLSX, CSV, PNG, JPG, ZIP
No files uploaded yet.
Section R
Deliverable and advisor review
Sensor system specification with sampling rate justification, calibration plan, and data QC procedure.
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
Sensor system specification with sampling rate justification, calibration plan, and data QC procedure. 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
ASCE Structural Health Monitoring Manual of Practice (2018 (MOP 145))
Adopted reference — cite section numbers, do not reproduce text.
ISO 9001 (2015)
Adopted reference — cite section numbers, do not reproduce text.
Sensor Systems — instructor design procedure
Course template for the calculation package format expected in the final report appendix.
NCEES FE Reference Handbook
Locate the equations used here and note the handbook section for exam recall.
Advisor meeting agenda item
Bring the unresolved decision from this module to your next weekly advisor meeting.