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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 34 · 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 strong shape does a roof truss use? (a) dome (b) beam (c) arch (d) triangle
  2. 2.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) paint it (c) add a diagonal brace (d) take off a side
  3. 3.🔺 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
  4. 4.Which of these uses triangles? (a) a fort gateway (b) a curved stone doorway (c) a roof truss (d) a shelf on two brackets
  5. 5.🔺 A beam bends under a load. Its top side is … (a) not affected (b) stretched (tension) (c) squeezed (compression) (d) floating
  6. 6.🔺 Which strong shape does a bicycle frame use? (a) dome (b) arch (c) beam (d) triangle
  7. 7.Which of these uses a beam? (a) an igloo (b) a fort gateway (c) an electric pylon (d) a plank over a drain
  8. 8.🔺 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?
  9. 9.True or false: a bicycle frame uses an arch. (a) True (b) False
  10. 10.🔺 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?
  11. 11.Which of these uses a beam? (a) a fort gateway (b) a slab over a canal (c) an igloo (d) an electric pylon
  12. 12.Which of these uses triangles? (a) a round palace roof (b) a slab over a canal (c) a shelf on two brackets (d) a crane arm
  13. 13.Which of these uses a dome? (a) a plank over a drain (b) a fort gateway (c) a roof truss (d) an igloo
  14. 14.Which of these uses a beam? (a) a round palace roof (b) a roof truss (c) a bicycle frame (d) a shelf on two brackets
  15. 15.🔺 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?
  16. 16.True or false: a bicycle frame uses a dome. (a) True (b) False
  17. 17.🔺 Which strong shape does an electric pylon use? (a) beam (b) triangle (c) arch (d) dome
  18. 18.🔺 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
  19. 19.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
  20. 20.🔺 Which strong shape does a lintel over a door use? (a) triangle (b) beam (c) arch (d) dome
  21. 21.🔺 Which strong shape does a shelf on two brackets use? (a) arch (b) beam (c) triangle (d) dome
  22. 22.🔺 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?
  23. 23.🔺 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?
  24. 24.🔺 Which strong shape does a slab over a canal use? (a) triangle (b) beam (c) arch (d) dome
  25. 25.Which of these uses an arch? (a) a fort gateway (b) a plank over a drain (c) a bicycle frame (d) a roof truss
  26. 26.🔺 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?
  27. 27.🔺 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
  28. 28.🔺 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?
  29. 29.True or false: a crane arm uses triangles. (a) True (b) False
  30. 30.True or false: an igloo uses a dome. (a) False (b) True
  31. 31.🔺 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?
  32. 32.🔺 Which strong shape does a plank over a drain use? (a) dome (b) arch (c) triangle (d) beam
  33. 33.🔺 Which strong shape does a crane arm use? (a) beam (b) dome (c) arch (d) triangle
  34. 34.🔺 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
  35. 35.True or false: a round palace roof uses triangles. (a) True (b) False
  36. 36.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it is hollow (c) it is very light (d) it works in compression
  37. 37.🔺 Which strong shape does a planetarium roof use? (a) arch (b) dome (c) triangle (d) beam
  38. 38.🔺 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?
  39. 39.Which of these uses triangles? (a) a planetarium roof (b) a round palace roof (c) an igloo (d) a truss bridge side
  40. 40.🔺 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?

Answer key

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

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