Paper Bridge Strength Test

Same paper, same coins — but the folded bridge holds ten times the load. Shape is the secret engineers never stop exploiting.

Safety:

No hazards — just paper and coins. Keep coins away from small children who might swallow them.

Materials

  • Plain paper sheets (several)
  • Two equal stacks of books (the supports)
  • Coins (pennies work well)
  • A ruler
  • Tape

Procedure

1

Test the flat sheet

Set the book stacks about 20 cm apart. Lay a flat sheet across the gap and add coins one at a time in the center until it collapses. Record the number.

2

Test the accordion fold

Fold a fresh sheet into a tight accordion (1 cm folds). Lay it across the same gap and load coins the same way. Record the new record.

3

Test the tube

Roll a sheet into a tight triangular tube and tape it. Test it against the same gap and load.

4

Compare fold sizes

Try a wide flat fold (3 cm folds) versus a narrow one (1 cm). Which holds more, and what fails first — the paper or the shape?

5

Score efficiency

Divide each bridge's coin count by the sheet's mass for a strength-to-weight score. Crown the most efficient design.

What to observe

  • A flat sheet collapses under just a few coins.

  • An accordion-folded sheet of the same paper holds dozens.

  • Taller folds hold more — until the folds buckle sideways.

Why it happens

A flat sheet fails because its thin cross-section gives almost no resistance to bending — stiffness scales with the cube of depth. Folding the same sheet into corrugations or a triangular tube moves material away from the neutral axis, multiplying the second moment of area without adding a gram. Real bridges do exactly this: I-beams, box girders, and trusses put steel where bending stresses are highest and leave the middle nearly empty.

Try variations

  • Span a wider gap (30 cm). Which design degrades least?

  • Glue two accordion sheets together. Does the strength double, or better?