Caveat Academy course · Grades 8 to 12

Structural Engineering: why bridges stand up

Follow a load from a roof down to the soil, then learn to put numbers on it: split forces into components, find the reactions under a beam, solve a truss joint by joint, check a hanger for stress and stretch, size a beam by its depth, catch a column before it buckles and pick the right bridge for a site. Six modules at your own pace, a check in every lesson, and a craft-stick bridge to design and test at the end.

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$19one-time · every device you sign in on
Buy · $19

Included with the Caveat Academy pass and Whole-school licenses. Or get it in the High school electives library, $119 for 66 items.

6 modules · 18 lessonsabout 13 hours$19

Six modules, eighteen lessons

Each module ends with a practice set that tracks mastery, an explain-it-back prompt, a short written response and a module exam. The final opens when every module is proficient; passing it earns a certificate with a verification code.

  1. Module 1: Forces and loads

    Trace load paths, classify loads and compute force components, resultants and factored design loads.

    • What a structure does
    • Forces as vectors
    • Loads on buildings and bridges
    about 2.1 h

  2. Module 2: Equilibrium

    Draw free-body diagrams and compute moments and support reactions for simply supported beams.

    • Equilibrium and free-body diagrams
    • Moments and the lever
    • Support reactions on a beam
    about 2.1 h

  3. Module 3: Trusses

    Analyze trusses by the method of joints and the method of sections and identify zero-force members.

    • Why triangles work
    • The method of joints
    • Sections and zero-force members
    about 2.1 h

  4. Module 4: Stress, strain and materials

    Compute stress, strain and stretch, compare materials from their properties and size members with a factor of safety.

    • Stress and strain
    • Material behavior
    • Factor of safety and failure
    about 2.1 h

  5. Module 5: Beams and columns

    Compute bending moments and beam stiffness from a cross-section, explain why depth matters, and evaluate columns for buckling.

    • Shear and bending in beams
    • Beam shape and stiffness
    • Columns and buckling
    about 2.1 h

  6. Module 6: Bridges, buildings and design

    Compare bridge types and building systems, size a footing, and design, test and improve a model bridge.

    • Bridge types
    • How buildings stand up
    • Lessons from failure and the model bridge
    about 2.1 h

Try it before you start

This is how every lesson works: step through a worked example at your own pace, then answer a check and get the reason right away. Nothing here is saved; the course keeps your progress.

Module 5 · Shear and bending in beams

Worked example: the largest moment in a floor beam

  1. A simply supported beam spans 5 m and carries a uniform load of 4 kN per meter.

A lesson check from each module

The checks need JavaScript turned on. The course itself works the same way.

What you get

Academics · High SchoolAlso for Academics · Middle School$19 · included with the Academy pass and Whole-school licenses

What you finish with
A finished semester of structural engineering: you can trace a load path, compute force components and factored loads, draw free-body diagrams and find support reactions, solve trusses by the method of joints and the method of sections, compute stress, strain and stretch, size a member with a factor of safety, find the largest bending moment in a beam, explain why depth matters so much, estimate a buckling load with Euler's formula, size a footing, and design, test and improve a model bridge. Passing the final earns a Caveat certificate of completion.
Who it is for
Students in grades 8 to 12 who like building things and want the math behind them, students thinking about civil, structural or architectural engineering, bridge-building club and competition teams, and homeschool families who want a full semester of engineering. Algebra and basic right-triangle trigonometry are enough; every new idea is taught from the start.
Format
An online self-paced course: 6 modules and 18 lessons with worked examples you reveal step by step, 144 practice and exam items (multiple choice, numeric, fill-in and ordering), an explain-it-back prompt and a rubric-checked short response in every module, module exams with one retake, a 24-question final and a certificate with a verification code. About 13 hours in all; works on a phone or a computer.
Access
$19 one-time, yours on every device you sign in on; the course opens once you are signed in with it. Included with the Caveat Academy pass and Whole-school licenses. Also in the High school electives library ($119) and the Academics Suite pass ($149), and 1 more bundle. Progress is saved in this browser on this device, and the certificate page lets you download your record.
Where it lives
The High School space in Caveat Academics; also listed for the Middle School space in Caveat Academics (the same course serves the middle school Structural Engineering & Bridge Design title).
Support
Access, a receipt, a refund or a correction to the course: team@caveatacademic.com.

How it works

  1. Open the course and start Module 1. Each lesson takes about 25 to 35 minutes; two or three a week finishes the course in about a semester.
  2. Answer the checks as you read. Every answer shows the reason, and a miss links you back to the lesson that covers it.
  3. Finish each module with its practice set and exam. Proficient on every module opens the final; 70 percent passes it.
  4. Print or download your certificate and record from the certificate page.

Start the course

Sources and accuracy

The lessons are original writing by Caveat Academic Services. Facts were checked against these free, open references, which are also good places to read further.

  1. OpenStax, University Physics Volume 1, the chapters on static equilibrium and elasticity, a free college textbook: openstax.org
  2. MIT OpenCourseWare, Mechanics and Materials and Structural Engineering Design course materials: ocw.mit.edu
  3. Federal Highway Administration, bridge engineering and bridge inspection resources: highways.dot.gov
  4. Washington State Department of Transportation, history of the Tacoma Narrows bridges: wsdot.wa.gov
  5. National Institute of Standards and Technology, the Hyatt Regency walkway collapse investigation (1982): nist.gov

Structural Engineering is a self-paced course from Caveat Academic Services. It follows the sequence of a typical high school structural engineering elective but does not replace a school course or a licensed engineer and awards no credit. Loads, load factors, soil pressures and material strengths in worked problems are labeled examples for practicing the method; real designs use the building code and the engineer's own data for the site. Wear eye protection when loading model bridges, and take care with hot glue and craft knives. Support: team@caveatacademic.com.