Intermediate
60 mins
Teacher/Student led
+70 XP

Spanning a Gap: Beams, Arches and Triangles

Compare three ways to bridge a gap with card strips: a flat beam, an arch and a braced beam. Load each with coins until failure and identify the strongest while keeping the test fair with equal materials and ends.

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    1 - Getting Started ~5 mins

    Illustration for Getting StartedLook at these two bridges. One is a straight flat deck. The other is a stone arch. Which do you think would hold more weight across the same gap, and why?

    Today we will bridge the same gap three ways, load each with 1c coins until it fails, and see what the evidence says.

    2 - Three Ways to Span a Gap ~6 mins

    Three shapes can span a gap:

    • Beam — straight and flat
    • Arch — curved, pushing out at the feet
    • Braced beam — straight, with triangles underneath
    Key point

    We keep the test fair: same gap, same card, both ends secured the same way. What is the one thing we are changing?

    3 - Build Three Spans ~14 mins

    In your group, bridge the same 15 cm gap three ways with equal card strips.

    • Flat beam: one straight strip across the books.
    • Arch: one strip curved up in the middle.
    • Braced beam: a straight strip with folded card triangles underneath. How to make a brace: fold a short card scrap into a triangle shape, then tape it under the middle of the beam so the point faces down and both sides touch the beam.
    Fair-test rule

    Fair-test rule: fix both ends of every span to the books with sticky tape so nothing can slide. Use the same card for all three.

    4 - Load Until They Fail ~14 mins

    Test one span at a time. Stack 1c coins in the middle, one coin at a time, until the span gives way. Count the coins it held. Watch where it fails.

    Key point

    As soon as each span fails, write on your Investigation Journal page: the span type, how many coins it held, and where it failed. Then move on to the next shape.

    Fair test

    Do the beam, then the arch, then the braced beam. Keep the gap and the end-fixing the same each time.

    5 - Record and Chart ~8 mins

    Check your Investigation Journal page has each span type, how many coins it held, and where it failed. That page is your only written record.

    Your teacher will type one clear set of coin counts into the interactive activity on the board: one row for beam, one for arch, one for braced beam. Watch the bar chart together. Which bar is tallest?

    Coins held by each span

    Pupil practice · Investigation Journal
    Module 5 · Engineering: Strong Shapes, Spans, Joins and a Load-bearing Build
    Lesson 31 · Spanning a Gap: Beams, Arches and Triangles
    Download Investigation Journal sheet (PDF)
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