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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 376 · 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.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) add a diagonal brace (c) paint it (d) make it bigger
  2. 2.🔺 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
  3. 3.🔺 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?
  4. 4.🔺 Which strong shape does a slab over a canal use? (a) beam (b) arch (c) triangle (d) dome
  5. 5.Which of these uses triangles? (a) a slab over a canal (b) a truss bridge side (c) a fort gateway (d) a plank over a drain
  6. 6.True or false: a planetarium roof uses triangles. (a) False (b) True
  7. 7.🔺 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?
  8. 8.🔺 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?
  9. 9.🔺 One side of a straw bridge is a row of 7 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  10. 10.True or false: a fort gateway uses triangles. (a) True (b) False
  11. 11.🔺 Which strong shape does a round palace roof use? (a) arch (b) dome (c) beam (d) triangle
  12. 12.🔺 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?
  13. 13.Which of these uses a beam? (a) a planetarium roof (b) a truss bridge side (c) a lintel over a door (d) a fort gateway
  14. 14.🔺 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
  15. 15.True or false: a shelf on two brackets uses a beam. (a) True (b) False
  16. 16.Which of these uses an arch? (a) a round palace roof (b) a shelf on two brackets (c) a fort gateway (d) a bicycle frame
  17. 17.🔺 Which strong shape does a truss bridge side use? (a) beam (b) triangle (c) arch (d) dome
  18. 18.🔺 Which strong shape does a fort gateway use? (a) triangle (b) arch (c) dome (d) beam
  19. 19.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) triangle (c) rectangle (d) hexagon
  20. 20.Which of these uses a dome? (a) a truss bridge side (b) an electric pylon (c) a crane arm (d) a round palace roof
  21. 21.🔺 One side of a straw bridge is a row of 8 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  22. 22.True or false: a slab over a canal uses a beam. (a) False (b) True
  23. 23.True or false: a planetarium roof uses a dome. (a) True (b) False
  24. 24.True or false: a fort gateway uses a beam. (a) True (b) False
  25. 25.🔺 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?
  26. 26.🔺 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?
  27. 27.🔺 Which strong shape does a plank over a drain use? (a) dome (b) arch (c) triangle (d) beam
  28. 28.🔺 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) rigid (b) wobbly
  29. 29.Which of these uses a dome? (a) a roof truss (b) a lintel over a door (c) an igloo (d) a curved stone doorway
  30. 30.True or false: a truss bridge side uses triangles. (a) True (b) False
  31. 31.True or false: a plank over a drain uses a beam. (a) True (b) False
  32. 32.True or false: a plank over a drain uses triangles. (a) False (b) True
  33. 33.Which of these uses a beam? (a) a plank over a drain (b) a planetarium roof (c) an electric pylon (d) a bicycle frame
  34. 34.True or false: a bicycle frame uses a beam. (a) True (b) False
  35. 35.🔺 A beam bends under a load. Its top side is … (a) not affected (b) stretched (tension) (c) floating (d) squeezed (compression)
  36. 36.🔺 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?
  37. 37.Which of these uses triangles? (a) a plank over a drain (b) a shelf on two brackets (c) a crane arm (d) an old stone bridge
  38. 38.🔺 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?
  39. 39.🔺 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?
  40. 40.🔺 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

Answer key

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

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