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Engineering Worksheet: Strong Shapes

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

Answer key

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

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