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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 302 · 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.🔺 One side of a straw bridge is a row of 13 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  2. 2.🔺 Which strong shape does a crane arm use? (a) arch (b) dome (c) beam (d) triangle
  3. 3.True or false: an old stone bridge uses triangles. (a) False (b) True
  4. 4.🔺 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?
  5. 5.🔺 Which strong shape does a bicycle frame use? (a) triangle (b) arch (c) beam (d) dome
  6. 6.🔺 Which strong shape does a round palace roof use? (a) beam (b) dome (c) triangle (d) arch
  7. 7.🔺 Which strong shape does a planetarium roof use? (a) dome (b) triangle (c) beam (d) arch
  8. 8.🔺 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?
  9. 9.Which of these uses an arch? (a) a planetarium roof (b) an electric pylon (c) an old stone bridge (d) a round palace roof
  10. 10.🔺 One side of a straw bridge is a row of 10 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  11. 11.🔺 Why can an arch carry heavy loads? (a) it works in compression (b) it bends easily (c) it is hollow (d) it is very light
  12. 12.Which of these uses triangles? (a) a curved stone doorway (b) a truss bridge side (c) a round palace roof (d) a shelf on two brackets
  13. 13.Which of these uses triangles? (a) a curved stone doorway (b) an old stone bridge (c) a plank over a drain (d) a roof truss
  14. 14.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) add a diagonal brace (c) take off a side (d) paint it
  15. 15.True or false: a crane arm uses triangles. (a) False (b) True
  16. 16.🔺 A beam bends under a load. Its top side is … (a) stretched (tension) (b) not affected (c) floating (d) squeezed (compression)
  17. 17.🔺 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
  18. 18.🔺 A flat frame has 12 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  19. 19.🔺 Which strong shape does a lintel over a door use? (a) dome (b) triangle (c) arch (d) beam
  20. 20.Which of these uses a beam? (a) a truss bridge side (b) a fort gateway (c) a roof truss (d) a plank over a drain
  21. 21.🔺 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?
  22. 22.True or false: a fort gateway uses an arch. (a) False (b) True
  23. 23.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) rectangle (c) triangle (d) hexagon
  24. 24.🔺 Which strong shape does a fort gateway use? (a) triangle (b) beam (c) arch (d) dome
  25. 25.🔺 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?
  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 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?
  28. 28.Which of these uses a dome? (a) a bicycle frame (b) a lintel over a door (c) a fort gateway (d) a round palace roof
  29. 29.🔺 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
  30. 30.True or false: a roof truss uses a beam. (a) True (b) False
  31. 31.🔺 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?
  32. 32.True or false: an electric pylon uses triangles. (a) True (b) False
  33. 33.🔺 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
  34. 34.🔺 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?
  35. 35.True or false: a shelf on two brackets uses triangles. (a) False (b) True
  36. 36.Which of these uses a dome? (a) a bicycle frame (b) an igloo (c) a slab over a canal (d) a plank over a drain
  37. 37.Which of these uses a beam? (a) a round palace roof (b) a fort gateway (c) a lintel over a door (d) a bicycle frame
  38. 38.🔺 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
  39. 39.True or false: a crane arm uses an arch. (a) True (b) False
  40. 40.🔺 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?

Answer key

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

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