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EEngineering challengePhysicsMathematicsS2 to S6

Engineering challenge: design a safe footbridge over a stream

In the rainy season a stream floods the path to school. Design a footbridge that carries a group of learners safely, at the lowest cost over 10 years.

M = wL² ÷ 8
LevelS2 to S6 · teams of 3–4
Time2 lessons or a weekend project
SubjectsPhysics, Mathematics and more
PriceFree: no account

🎯 Aim

To design a footbridge using weight, bending moments, the principle of moments and a safety factor, and to compare materials by safety and cost.

You will learn to

  • Calculate loads with W = mg.
  • Use M = wL²/8 to size beams with a safety factor.
  • Find support forces with the principle of moments.
  • Compare timber, steel and bamboo by cost and life.

🧭 What to do

  1. Step 1: set the span and the number of people on the bridge.
  2. Work through each numbered step: move the sliders and choose the options.
  3. Watch the drawing and the results change after every choice.
  4. Compare the options and their costs in the table and the chart.
  5. Answer the questions below, using 💡 Hint before the method.
  6. Justify your design in the last step, then download your design report.

🛠️ Design workbench

🧠 Investigate: answer from your design

Type your answer and tap Check. Use 💡 Hint first; open the method only when you are stuck.

📄 My design report

Your report collects the aim, your design, the graphs, your answers and your conclusion. It is made on your phone or computer: nothing is sent to anyone.

Check your conclusion

For a 6 m span carrying 10 learners, the load is about 1.7 kN per metre and the largest bending moment about 8 kN·m, so three treated timber beams (safety factor 2) are needed; each bank pushes up with about half the total weight. Steel lasts longest, bamboo is cheapest at first, and the best design balances safety, cost over 10 years and local maintenance.

➕ Get more from this challenge

📝 Free

Print the worksheet (button above), download the data, and save your report. Teachers can project this page in class.

📦 Premium Lab Pack

1 000 RWF

  • Team workbook for every design step
  • Data and price list template
  • Presentation and assessment rubric
  • Teacher guide with a full model answer

👩‍🏫 For teachers

Use it as a practical when apparatus is missing, as homework, or as a project. Free lesson plans help you plan, teach and assess.

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DONAT STEM Interactive Labs · original work by BIZIYAREMYE Donat · data are realistic models for learning · free forever