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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 331 · 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: an old stone bridge uses an arch. (a) True (b) False
  2. 2.🔺 A flat frame has 4 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  3. 3.🔺 Which strong shape does an electric pylon use? (a) arch (b) triangle (c) dome (d) beam
  4. 4.True or false: an old stone bridge uses a beam. (a) False (b) True
  5. 5.🔺 One side of a straw bridge is a row of 6 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 a beam? (a) a fort gateway (b) a slab over a canal (c) a roof truss (d) an igloo
  7. 7.True or false: a bicycle frame uses triangles. (a) True (b) False
  8. 8.🔺 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
  9. 9.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) arch (c) beam (d) dome
  10. 10.🔺 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?
  11. 11.Which of these uses a beam? (a) a round palace roof (b) a lintel over a door (c) a curved stone doorway (d) a roof truss
  12. 12.True or false: a roof truss uses triangles. (a) True (b) False
  13. 13.🔺 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?
  14. 14.🔺 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?
  15. 15.🔺 Which strong shape does a crane arm use? (a) triangle (b) beam (c) arch (d) dome
  16. 16.🔺 A beam bends under a load. Its top side is … (a) not affected (b) floating (c) stretched (tension) (d) squeezed (compression)
  17. 17.Which of these uses an arch? (a) a planetarium roof (b) a shelf on two brackets (c) a lintel over a door (d) a curved stone doorway
  18. 18.Which of these uses triangles? (a) a shelf on two brackets (b) an old stone bridge (c) a slab over a canal (d) an electric pylon
  19. 19.🔺 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?
  20. 20.Which of these uses a dome? (a) a planetarium roof (b) a truss bridge side (c) a crane arm (d) a slab over a canal
  21. 21.🔺 Which strong shape does a slab over a canal use? (a) triangle (b) arch (c) beam (d) dome
  22. 22.🔺 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
  23. 23.🔺 One side of a straw bridge is a row of 9 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  24. 24.🔺 Which strong shape does an old stone bridge use? (a) dome (b) beam (c) triangle (d) arch
  25. 25.🔺 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?
  26. 26.True or false: a slab over a canal uses a beam. (a) False (b) True
  27. 27.Which of these uses a dome? (a) a slab over a canal (b) a lintel over a door (c) a truss bridge side (d) a round palace roof
  28. 28.🔺 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?
  29. 29.🔺 A flat frame has 10 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 shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
  31. 31.🔺 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) wobbly (b) rigid
  32. 32.🔺 Which strong shape does a fort gateway use? (a) dome (b) beam (c) arch (d) triangle
  33. 33.🔺 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?
  34. 34.Which of these uses a beam? (a) a crane arm (b) a plank over a drain (c) an old stone bridge (d) a bicycle frame
  35. 35.🔺 One side of a straw bridge is a row of 12 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  36. 36.Which of these uses triangles? (a) a slab over a canal (b) a shelf on two brackets (c) a planetarium roof (d) a roof truss
  37. 37.Which of these uses a beam? (a) a shelf on two brackets (b) an old stone bridge (c) a curved stone doorway (d) a planetarium roof
  38. 38.True or false: a plank over a drain uses a beam. (a) True (b) False
  39. 39.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  40. 40.Which of these uses a dome? (a) an electric pylon (b) a roof truss (c) a fort gateway (d) an igloo

Answer key

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

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