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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 639 · 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.True or false: a bicycle frame uses triangles. (a) True (b) False
  2. 2.🔺 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?
  3. 3.Which of these uses a dome? (a) an old stone bridge (b) a lintel over a door (c) an igloo (d) a fort gateway
  4. 4.🔺 A flat frame has 12 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  5. 5.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) take off a side (c) paint it (d) add a diagonal brace
  6. 6.🔺 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?
  7. 7.🔺 Which strong shape does a curved stone doorway use? (a) beam (b) triangle (c) dome (d) arch
  8. 8.🔺 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?
  9. 9.🔺 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?
  10. 10.Which of these uses a dome? (a) a roof truss (b) a truss bridge side (c) a bicycle frame (d) a planetarium roof
  11. 11.🔺 Which strong shape does a truss bridge side use? (a) arch (b) beam (c) triangle (d) dome
  12. 12.🔺 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
  13. 13.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) rectangle (c) hexagon (d) triangle
  14. 14.Which of these uses a dome? (a) a round palace roof (b) a roof truss (c) a crane arm (d) a lintel over a door
  15. 15.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it is hollow (c) it works in compression (d) it is very light
  16. 16.Which of these uses triangles? (a) a crane arm (b) a round palace roof (c) a plank over a drain (d) a slab over a canal
  17. 17.🔺 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) rigid (b) wobbly
  18. 18.True or false: a slab over a canal uses triangles. (a) True (b) False
  19. 19.True or false: a shelf on two brackets uses a beam. (a) True (b) False
  20. 20.Which of these uses triangles? (a) a lintel over a door (b) an old stone bridge (c) a round palace roof (d) a roof truss
  21. 21.🔺 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?
  22. 22.True or false: a round palace roof uses a dome. (a) True (b) False
  23. 23.🔺 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
  24. 24.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 2 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  25. 25.🔺 Which strong shape does a bicycle frame use? (a) dome (b) arch (c) beam (d) triangle
  26. 26.Which of these uses triangles? (a) an electric pylon (b) a planetarium roof (c) a curved stone doorway (d) an old stone bridge
  27. 27.Which of these uses an arch? (a) a crane arm (b) a bicycle frame (c) a shelf on two brackets (d) a fort gateway
  28. 28.True or false: an igloo uses triangles. (a) False (b) True
  29. 29.🔺 Which strong shape does a fort gateway use? (a) beam (b) triangle (c) dome (d) arch
  30. 30.🔺 Which strong shape does a roof truss use? (a) arch (b) triangle (c) beam (d) dome
  31. 31.True or false: an igloo uses a dome. (a) True (b) False
  32. 32.🔺 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?
  33. 33.🔺 A beam bends under a load. Its top side is … (a) not affected (b) floating (c) squeezed (compression) (d) stretched (tension)
  34. 34.True or false: a plank over a drain uses an arch. (a) True (b) False
  35. 35.Which of these uses triangles? (a) a fort gateway (b) a truss bridge side (c) a curved stone doorway (d) a slab over a canal
  36. 36.🔺 Which strong shape does a shelf on two brackets use? (a) dome (b) arch (c) beam (d) triangle
  37. 37.🔺 One side of a straw bridge is a row of 14 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  38. 38.🔺 Which strong shape does a crane arm use? (a) triangle (b) dome (c) beam (d) arch
  39. 39.🔺 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
  40. 40.Which of these uses a beam? (a) a curved stone doorway (b) a crane arm (c) a lintel over a door (d) a roof truss

Answer key

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

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