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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 68 · 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.🔺 A beam bends under a load. Its top side is … (a) floating (b) not affected (c) squeezed (compression) (d) stretched (tension)
  2. 2.🔺 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
  3. 3.Which of these uses triangles? (a) a slab over a canal (b) a plank over a drain (c) a truss bridge side (d) a lintel over a door
  4. 4.🔺 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?
  5. 5.🔺 Which strong shape does a fort gateway use? (a) dome (b) triangle (c) arch (d) beam
  6. 6.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) rectangle (c) triangle (d) hexagon
  7. 7.Which of these uses a dome? (a) an electric pylon (b) a crane arm (c) a fort gateway (d) a round palace roof
  8. 8.🔺 Which strong shape does an electric pylon use? (a) triangle (b) arch (c) beam (d) dome
  9. 9.True or false: an igloo uses a dome. (a) False (b) True
  10. 10.True or false: a plank over a drain uses a beam. (a) False (b) True
  11. 11.🔺 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?
  12. 12.🔺 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
  13. 13.Which of these uses an arch? (a) a fort gateway (b) a bicycle frame (c) a round palace roof (d) a planetarium roof
  14. 14.Which of these uses a beam? (a) a planetarium roof (b) an igloo (c) a lintel over a door (d) a crane arm
  15. 15.🔺 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?
  16. 16.Which of these uses a dome? (a) a slab over a canal (b) a crane arm (c) a curved stone doorway (d) a planetarium roof
  17. 17.True or false: an old stone bridge uses a dome. (a) False (b) True
  18. 18.🔺 Which strong shape does a roof truss use? (a) beam (b) dome (c) arch (d) triangle
  19. 19.🔺 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
  20. 20.🔺 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?
  21. 21.🔺 Which strong shape does a bicycle frame use? (a) arch (b) dome (c) beam (d) triangle
  22. 22.Which of these uses an arch? (a) a roof truss (b) a shelf on two brackets (c) an old stone bridge (d) a plank over a drain
  23. 23.Which of these uses a beam? (a) a plank over a drain (b) a truss bridge side (c) a curved stone doorway (d) an electric pylon
  24. 24.🔺 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?
  25. 25.🔺 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
  26. 26.🔺 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?
  27. 27.True or false: a roof truss uses a beam. (a) False (b) True
  28. 28.🔺 Which strong shape does a round palace roof use? (a) arch (b) beam (c) triangle (d) dome
  29. 29.Which of these uses a beam? (a) a shelf on two brackets (b) a round palace roof (c) a roof truss (d) a curved stone doorway
  30. 30.🔺 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?
  31. 31.True or false: a lintel over a door uses triangles. (a) False (b) True
  32. 32.🔺 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?
  33. 33.🔺 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?
  34. 34.Which of these uses triangles? (a) a plank over a drain (b) a curved stone doorway (c) a lintel over a door (d) an electric pylon
  35. 35.🔺 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
  36. 36.True or false: a crane arm uses a dome. (a) False (b) True
  37. 37.🔺 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
  38. 38.True or false: a crane arm uses an arch. (a) False (b) True
  39. 39.🔺 Which strong shape does a truss bridge side use? (a) triangle (b) arch (c) dome (d) beam
  40. 40.True or false: a curved stone doorway uses a dome. (a) True (b) False

Answer key

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

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