Online CPD / PDH learning for engineers

Beam Section Properties Continuing Education Course

Calculate, interpret and verify the properties behind a beam model. Start with a section sketch; finish with a checked calculation and a clear review decision.

  • 8 applied modules
  • Written & self-paced
  • Worked answers & feedback

Locate the centroid. Check both edges.

xyCentroid CctopcbottomOne inertia. Two elastic section moduli.Stop = Ix / ctopSbottom = Ix / cbottom
The larger top flange shifts the centroid upward, giving different distances to each edge.

A plan built around doing the work

Estimated learning time: four hours.

The course has a 240-minute learning plan, including the assessment. Read a physical explanation, follow a worked example, solve a variation and check your reasoning. The time includes calculations, not just reading.

The four-hour estimate reflects the planned activities and has not been validated by timed learner trials. Your pace will depend on experience. Record your actual engaged study time, including offline calculations and excluding breaks. Optional reference reading is outside this plan.

What is included in the four hours?

Explanations, examples & review brief
91 min
Guided practice & independent review
108 min
Seven module checks & final assessment
41 min
Total estimated workload
240 min

The syllabus breaks the plan down by module. Your workbook keeps planned time separate from the time you actually report. Read the complete syllabus →

Keep the reasoning behind your results

Your calculations.
Your review. Your learning record.

Build a record you can revisit: geometry, axes, units, calculations and a review decision. Complete eight calculation records, seven module checks and the final assessment at 80% or higher to receive your completion certificate.

01 Your calculation workbook
Eight activity records with numerical results, selected answers, feedback and personal notes. A reusable review template helps you document assumptions and unresolved checks.
02 Syllabus & actual-time log
Retain the learning objectives, module outline and time you report. The four-hour estimate is kept separate from your actual recorded time.
03 Personalized completion certificate
Your name, course, completion date, assessment result and unique verification link. Print it or save it with your supporting records.

View the complete syllabus →

Certificate previewSample · not issued

Certificate of completion

Professional Engineering
Continuing Education

This certifies that

Your name

has completed the course requirements and assessment for

Beam Section Properties

4.0 hoursEstimated learning time

OB-CE-SECT-101 · Version 1.0

Tamer Hijjawi, P.Eng.Instructor · Optimal Beam Inc.
Your completion dateUnique certificate ID & verification link

Your issued certificate also shows your assessment result and recorded study time. CPD / PDH acceptance is determined by your regulator.

Illustrative preview. Personalized after you complete the required activities and pass the final assessment.

From a sketch to a checked decision

Understand the property.
Then put it to work.

Start with a rectangle. Build up to unequal flanges, an offset opening and an angle. Each new idea adds a calculation or a check you will use in the final section review.

Your final review assignment

Two section depths. One beam.

A 6 m simply supported beam · 8 kN/m fixed total load · 300 mm and 360 mm deep built-up I-sections.

Correct a flawed report and compare the two options against supplied area, depth and deflection criteria. Explain the remaining checks before either could be used in a real design.

  1. 01

    Define the geometry

    Sketch the parts, choose an origin and bending axis, and predict where the centroid should lie.

  2. 02

    Calculate and check

    Find area, centroid, inertia and both elastic moduli. Use the correct inertia and units in the deflection comparison.

  3. 03

    Make a limited decision

    Correct the report’s assumptions, identify the option that meets the supplied criteria and record what still needs checking.

A good fit if you…

Calculate section properties or review beam inputs and know algebra, unit conversion and the meaning of force, bending moment and elastic modulus. Suitable for engineers, EITs, designers and advanced students. Beam Analysis is helpful but is not a prerequisite.

What you will need

A calculator, paper and time to work through the examples. Written lessons, illustrations and supplied formulas support every required activity. Software comparisons are optional; no subscription is required.

Technical author

Tamer Hijjawi, P.Eng.

Built around the section-property methods, worked examples and verification practices used in Optimal Beam’s engineering guides and tools.

Read the engineering biography →Ask a course question or report an error →

The eight-module curriculum

Learn the fundamentals.
Build a repeatable review method.

Each lesson connects a physical picture to a calculation and a practical check. Seven sets of three understanding checks lead into the independent capstone and 20-question assessment. Module times are estimates and total four hours.

01

Read the section and choose the property

Connect a cross-section to its beam, choose the bending axis and keep units consistent.

You produce An axis choice, a rotation comparison and two checked unit/scaling calculations.

View lesson →
20 min
02

Area, centroid and openings

Break a section into parts, subtract an opening and locate the area centroid.

You produce A signed-area calculation and both centroid coordinates for an offset opening.

View lesson →
25 min
03

Second moment of area

Calculate how material distribution and axis position change bending properties.

You produce Two centroidal inertias and a radius of gyration, with the opening correctly subtracted.

View lesson →
30 min
04

Elastic modulus, stress and stiffness

Use the correct extreme-fibre distances and distinguish a stress check from a deflection check.

You produce Separate top and bottom elastic moduli and stresses for an unequal-flange section.

View lesson →
30 min
05

Plastic axis and plastic modulus

Balance the yielded areas, split a crossing component and calculate its plastic modulus.

You produce A T-section area, elastic centroid, plastic axis and plastic modulus.

View lesson →
25 min
06

Unsymmetric sections and principal axes

Read product of inertia and principal directions before trusting a bending calculation.

You produce A principal-inertia check and a reasoned response to an unsuitable bending calculation.

View lesson →
30 min
07

Shear and torsion properties

Interpret Q, shear area, J, warping and shear centre without confusing their meanings.

You produce A first moment, an elementary shear-stress check and a distinction between polar inertia and torsion constant.

View lesson →
35 min
08

Verify a section and make a decision

Reconcile a flawed report, compare two section depths and complete the applied assessment.

You produce A corrected report, a two-section comparison, a review decision and the applied assessment.

View lesson →
45 min

Read or print the complete syllabus →Eight calculation records · Worked answers · Independent review

Canada & United States

CPD and PDH eligibility for professional engineers.

This is code-neutral technical education. Course completion does not establish project-specific member, stability or connection adequacy. Confirm the subject, format and provider requirements with your regulator before purchasing for renewal credit.

Check eligibility before purchasing for renewal

Continuing-education eligibility, reportable hours and documentation requirements vary by jurisdiction. Confirm suitability with your licensing regulator before purchasing for renewal purposes.

No regulatory approval or endorsement is claimed unless expressly stated. Where required provider or course approval is absent, this course is offered for educational use and is not represented as qualifying renewal credit.

This course does not replace mandatory ethics or regulator-specific training. Keep your syllabus, saved calculation records, completion certificate and actual-time log.

Standalone course access

Build your understanding.
Keep your calculation record.

For $99 USD, work through eight illustrated lessons, practise the calculations and complete an independent section review. Keep your saved work and earn a certificate after successful completion.

  • Eight illustrated lessons and saved calculation records
  • Worked answers, guided practice and understanding checks
  • Independent section review and 20-question assessment
  • Printable syllabus, review workbook and study-time record

One-time payment with no software subscription. Read the access, refund and support terms →

Before you start

Course, learning-time and enrollment questions.

Have a question or found an error? Contact us.

How do I enroll?

Preview the first lesson without an account. For full access, create or sign in to a free Optimal Beam account, review the US$99 one-time price and complete secure Stripe checkout. The course then appears in My Courses.

How is the four-hour estimate calculated?

The 240-minute plan includes 91 minutes of explanations and review briefing, 108 minutes of practice, and 41 minutes of checks and assessment. It is an estimated workload, not measured attendance or guaranteed credit. Your pace depends on prior knowledge; record your actual engaged time and exclude breaks. Optional reference reading is outside this plan.

What should I know before starting?

Bring algebra, unit conversion and a basic understanding of force, bending moment and elastic modulus. The required exercises use arithmetic and supplied formulas. The Beam Analysis course is helpful but is not a prerequisite.

Do I need an Optimal Beam software subscription?

No. A calculator, paper and the course are enough for every required exercise. The section and beam tools are optional comparisons. The lessons explain how to check axes, units, geometry and the limits of a tool result.

How do the activities and assessment work?

Work through eight calculation records and seven sets of three understanding checks. Worked answers and feedback help you correct mistakes. After all eight records are submitted and the earlier modules are complete, take the 20-question assessment. The pass mark is 80%; feedback and retakes support further learning.

Is this a complete structural design course?

It teaches section-property calculation, interpretation and verification. It covers elastic and ideal plastic properties, principal axes, elementary shear and the meaning of torsion outputs. It does not establish project-specific strength, stability, connection adequacy or compliance with a material design code.

What is the price?

US$99 as a one-time purchase. No recurring software subscription is required. The price includes all eight modules, guided calculations, assessment retakes, your workbook and a completion certificate after meeting the requirements.

What completion records will I receive?

Submit all eight calculation records and the seven module checks, then pass the final assessment at 80% or higher. Keep your numbered completion certificate, saved calculation workbook, syllabus and actual study-time log. CPD or PDH acceptance depends on your regulator.