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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 611 · 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 curved stone doorway uses an arch. (a) True (b) False
  2. 2.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) rectangle (c) triangle (d) square
  3. 3.Which of these uses a dome? (a) an igloo (b) a roof truss (c) a curved stone doorway (d) a lintel over a door
  4. 4.Which of these uses a beam? (a) a lintel over a door (b) a planetarium roof (c) a crane arm (d) a truss bridge side
  5. 5.🔺 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?
  6. 6.True or false: a round palace roof uses a dome. (a) True (b) False
  7. 7.Which of these uses a beam? (a) a crane arm (b) an old stone bridge (c) an igloo (d) a shelf on two brackets
  8. 8.🔺 A flat frame has 11 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.🔺 Which strong shape does an old stone bridge use? (a) dome (b) arch (c) beam (d) triangle
  10. 10.Which of these uses triangles? (a) a shelf on two brackets (b) an igloo (c) a curved stone doorway (d) an electric pylon
  11. 11.🔺 A beam bends under a load. Its top side is … (a) stretched (tension) (b) not affected (c) squeezed (compression) (d) floating
  12. 12.🔺 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
  13. 13.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 3 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  14. 14.Which of these uses a beam? (a) a round palace roof (b) a slab over a canal (c) a bicycle frame (d) a truss bridge side
  15. 15.🔺 Which strong shape does a roof truss use? (a) arch (b) dome (c) triangle (d) beam
  16. 16.🔺 Which strong shape does a lintel over a door use? (a) triangle (b) beam (c) dome (d) arch
  17. 17.🔺 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
  18. 18.True or false: a bicycle frame uses triangles. (a) True (b) False
  19. 19.Which of these uses a dome? (a) a shelf on two brackets (b) a crane arm (c) a bicycle frame (d) a round palace roof
  20. 20.🔺 Which strong shape does a shelf on two brackets use? (a) arch (b) triangle (c) beam (d) dome
  21. 21.🔺 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?
  22. 22.Which of these uses triangles? (a) a lintel over a door (b) a planetarium roof (c) a bicycle frame (d) a fort gateway
  23. 23.🔺 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?
  24. 24.True or false: a lintel over a door uses triangles. (a) True (b) False
  25. 25.🔺 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?
  26. 26.🔺 Which strong shape does a bicycle frame use? (a) triangle (b) arch (c) beam (d) dome
  27. 27.🔺 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?
  28. 28.Which of these uses an arch? (a) a lintel over a door (b) a planetarium roof (c) a bicycle frame (d) an old stone bridge
  29. 29.🔺 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?
  30. 30.True or false: a slab over a canal uses a beam. (a) False (b) True
  31. 31.🔺 Which strong shape does a truss bridge side use? (a) arch (b) dome (c) triangle (d) beam
  32. 32.🔺 Which strong shape does a curved stone doorway use? (a) arch (b) beam (c) dome (d) triangle
  33. 33.🔺 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
  34. 34.🔺 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?
  35. 35.Which of these uses triangles? (a) a roof truss (b) a lintel over a door (c) an old stone bridge (d) a fort gateway
  36. 36.🔺 How do engineers stop a square frame from wobbling? (a) paint it (b) make it bigger (c) take off a side (d) add a diagonal brace
  37. 37.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) arch (c) beam (d) dome
  38. 38.True or false: a lintel over a door uses a beam. (a) False (b) True
  39. 39.🔺 Which strong shape does a fort gateway use? (a) dome (b) beam (c) arch (d) triangle
  40. 40.Which of these uses a dome? (a) a truss bridge side (b) a planetarium roof (c) a slab over a canal (d) a curved stone doorway

Answer key

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

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