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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 249 · 40 questions
TalentJR

Engineer's tip (Triangles stay put): Triangles are rigid; trusses, towers and frames use them. A pin-jointed frame with n sides needs n − 3 corner-to-corner braces; a row of n triangles uses 2n + 1 straws. Arches squeeze (compression); beams span gaps; domes are arches turned round in a circle.

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  1. 1.🔺 A frame shaped like a square is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
  2. 2.🔺 One side of a straw bridge is a row of 13 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  3. 3.True or false: a curved stone doorway uses an arch. (a) True (b) False
  4. 4.🔺 Which strong shape does a crane arm use? (a) arch (b) triangle (c) dome (d) beam
  5. 5.🔺 Which strong shape does a lintel over a door use? (a) dome (b) arch (c) triangle (d) beam
  6. 6.🔺 A frame shaped like a square is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  7. 7.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) wobbly (b) rigid
  8. 8.True or false: a planetarium roof uses a dome. (a) False (b) True
  9. 9.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 2 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  10. 10.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
  11. 11.🔺 A flat frame has 6 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  12. 12.🔺 One side of a straw bridge is a row of 5 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  13. 13.Which of these uses triangles? (a) a curved stone doorway (b) a round palace roof (c) a bicycle frame (d) a fort gateway
  14. 14.True or false: a slab over a canal uses a beam. (a) True (b) False
  15. 15.🔺 One side of a straw bridge is a row of 2 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  16. 16.🔺 A frame shaped like a triangle is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  17. 17.Which of these uses a beam? (a) a curved stone doorway (b) a roof truss (c) a plank over a drain (d) a planetarium roof
  18. 18.🔺 How do engineers stop a square frame from wobbling? (a) add a diagonal brace (b) paint it (c) take off a side (d) make it bigger
  19. 19.🔺 Which strong shape does a fort gateway use? (a) dome (b) triangle (c) beam (d) arch
  20. 20.True or false: an igloo uses a beam. (a) True (b) False
  21. 21.Which of these uses an arch? (a) a roof truss (b) a slab over a canal (c) a planetarium roof (d) a fort gateway
  22. 22.🔺 One side of a straw bridge is a row of 11 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  23. 23.True or false: a round palace roof uses triangles. (a) False (b) True
  24. 24.True or false: a lintel over a door uses a beam. (a) True (b) False
  25. 25.Which of these uses an arch? (a) an old stone bridge (b) a plank over a drain (c) a lintel over a door (d) a truss bridge side
  26. 26.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  27. 27.True or false: an old stone bridge uses an arch. (a) False (b) True
  28. 28.🔺 A flat frame has 8 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  29. 29.🔺 A flat frame has 9 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  30. 30.Which of these uses an arch? (a) a shelf on two brackets (b) a curved stone doorway (c) a roof truss (d) an electric pylon
  31. 31.🔺 Which strong shape does an electric pylon use? (a) arch (b) dome (c) triangle (d) beam
  32. 32.True or false: an electric pylon uses a beam. (a) True (b) False
  33. 33.🔺 One side of a straw bridge is a row of 4 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  34. 34.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
  35. 35.True or false: a roof truss uses an arch. (a) False (b) True
  36. 36.True or false: a crane arm uses a beam. (a) True (b) False
  37. 37.Which of these uses triangles? (a) a truss bridge side (b) an igloo (c) a lintel over a door (d) a curved stone doorway
  38. 38.🔺 A flat frame has 7 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  39. 39.🔺 One side of a straw bridge is a row of 3 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  40. 40.🔺 One side of a straw bridge is a row of 1 triangle standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?

Answer key

  1. rigid
  2. 27
  3. True
  4. triangle
  5. beam
  6. wobbly
  7. wobbly
  8. True
  9. rigid
  10. triangle
  11. 3
  12. 11
  13. a bicycle frame
  14. True
  15. 5
  16. rigid
  17. a plank over a drain
  18. add a diagonal brace
  19. arch
  20. False
  21. a fort gateway
  22. 23
  23. False
  24. True
  25. an old stone bridge
  26. wobbly
  27. True
  28. 5
  29. 6
  30. a curved stone doorway
  31. triangle
  32. False
  33. 9
  34. wobbly
  35. False
  36. False
  37. a truss bridge side
  38. 4
  39. 7
  40. 3

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