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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 377 · 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.Which of these uses a dome? (a) a plank over a drain (b) an electric pylon (c) a bicycle frame (d) a planetarium roof
  2. 2.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
  3. 3.True or false: a round palace roof uses an arch. (a) True (b) False
  4. 4.Which of these uses a dome? (a) a roof truss (b) a lintel over a door (c) a slab over a canal (d) a round palace roof
  5. 5.🔺 One side of a straw bridge is a row of 10 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  6. 6.Which of these uses triangles? (a) a curved stone doorway (b) a plank over a drain (c) a crane arm (d) a shelf on two brackets
  7. 7.True or false: a round palace roof uses triangles. (a) False (b) True
  8. 8.🔺 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) wobbly (b) rigid
  9. 9.🔺 Which strong shape does a planetarium roof use? (a) arch (b) triangle (c) dome (d) beam
  10. 10.Which of these uses a beam? (a) a bicycle frame (b) an old stone bridge (c) a curved stone doorway (d) a lintel over a door
  11. 11.🔺 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) rigid (b) wobbly
  12. 12.🔺 Which strong shape does a shelf on two brackets use? (a) dome (b) arch (c) beam (d) triangle
  13. 13.🔺 Which strong shape does a truss bridge side use? (a) triangle (b) arch (c) beam (d) dome
  14. 14.Which of these uses a dome? (a) a lintel over a door (b) an igloo (c) a roof truss (d) a curved stone doorway
  15. 15.🔺 Which strong shape does a lintel over a door use? (a) dome (b) beam (c) triangle (d) arch
  16. 16.🔺 A beam bends under a load. Its top side is … (a) floating (b) not affected (c) squeezed (compression) (d) stretched (tension)
  17. 17.True or false: a truss bridge side uses a dome. (a) True (b) False
  18. 18.🔺 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
  19. 19.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it bends easily (c) it works in compression (d) it is very light
  20. 20.🔺 Which strong shape does a crane arm use? (a) dome (b) arch (c) beam (d) triangle
  21. 21.🔺 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) wobbly (b) rigid
  22. 22.True or false: a plank over a drain uses a beam. (a) False (b) True
  23. 23.🔺 Which strong shape does an electric pylon use? (a) arch (b) dome (c) beam (d) triangle
  24. 24.Which of these uses a beam? (a) an electric pylon (b) a truss bridge side (c) a slab over a canal (d) a bicycle frame
  25. 25.Which of these uses a beam? (a) a fort gateway (b) a roof truss (c) a shelf on two brackets (d) a truss bridge side
  26. 26.Which of these uses triangles? (a) an electric pylon (b) an old stone bridge (c) a lintel over a door (d) a curved stone doorway
  27. 27.Which of these uses an arch? (a) a round palace roof (b) an igloo (c) an old stone bridge (d) a lintel over a door
  28. 28.True or false: a fort gateway uses triangles. (a) False (b) True
  29. 29.True or false: an old stone bridge uses an arch. (a) True (b) False
  30. 30.🔺 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?
  31. 31.🔺 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?
  32. 32.Which of these uses triangles? (a) a plank over a drain (b) an igloo (c) a bicycle frame (d) a slab over a canal
  33. 33.🔺 Which strong shape does a bicycle frame use? (a) triangle (b) arch (c) beam (d) dome
  34. 34.🔺 Which strong shape does a plank over a drain use? (a) dome (b) triangle (c) beam (d) arch
  35. 35.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) take off a side (c) add a diagonal brace (d) paint it
  36. 36.🔺 A flat frame has 5 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  37. 37.True or false: an electric pylon uses a dome. (a) True (b) False
  38. 38.🔺 One side of a straw bridge is a row of 15 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  39. 39.Which of these uses a beam? (a) a fort gateway (b) a round palace roof (c) an old stone bridge (d) a plank over a drain
  40. 40.🔺 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?

Answer key

  1. a planetarium roof
  2. triangle
  3. False
  4. a round palace roof
  5. 21
  6. a crane arm
  7. False
  8. wobbly
  9. dome
  10. a lintel over a door
  11. rigid
  12. beam
  13. triangle
  14. an igloo
  15. beam
  16. squeezed (compression)
  17. False
  18. rigid
  19. it works in compression
  20. triangle
  21. wobbly
  22. True
  23. triangle
  24. a slab over a canal
  25. a shelf on two brackets
  26. an electric pylon
  27. an old stone bridge
  28. False
  29. True
  30. 3
  31. 11
  32. a bicycle frame
  33. triangle
  34. beam
  35. add a diagonal brace
  36. 2
  37. False
  38. 31
  39. a plank over a drain
  40. 27

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