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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 118 · 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 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?
  2. 2.🔺 Which strong shape does a lintel over a door use? (a) beam (b) dome (c) triangle (d) arch
  3. 3.🔺 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
  4. 4.🔺 Which strong shape does a fort gateway use? (a) dome (b) triangle (c) beam (d) arch
  5. 5.🔺 Which strong shape does a crane arm use? (a) beam (b) dome (c) triangle (d) arch
  6. 6.Which of these uses a dome? (a) a round palace roof (b) a fort gateway (c) a lintel over a door (d) an electric pylon
  7. 7.🔺 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?
  8. 8.Which of these uses triangles? (a) a planetarium roof (b) a lintel over a door (c) a crane arm (d) a curved stone doorway
  9. 9.🔺 Which strong shape does a plank over a drain use? (a) beam (b) dome (c) arch (d) triangle
  10. 10.🔺 Which strong shape does an igloo use? (a) arch (b) triangle (c) beam (d) dome
  11. 11.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) triangle (c) hexagon (d) rectangle
  12. 12.🔺 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?
  13. 13.🔺 Which strong shape does a round palace roof use? (a) beam (b) dome (c) triangle (d) arch
  14. 14.Which of these uses an arch? (a) a fort gateway (b) a slab over a canal (c) a shelf on two brackets (d) a plank over a drain
  15. 15.True or false: a shelf on two brackets uses an arch. (a) False (b) True
  16. 16.Which of these uses a beam? (a) a fort gateway (b) an electric pylon (c) a shelf on two brackets (d) a curved stone doorway
  17. 17.Which of these uses a beam? (a) a plank over a drain (b) a crane arm (c) a truss bridge side (d) a fort gateway
  18. 18.Which of these uses a beam? (a) a lintel over a door (b) a fort gateway (c) a truss bridge side (d) a round palace roof
  19. 19.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 2 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  20. 20.🔺 How do engineers stop a square frame from wobbling? (a) paint it (b) take off a side (c) make it bigger (d) add a diagonal brace
  21. 21.🔺 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?
  22. 22.🔺 Which strong shape does a truss bridge side use? (a) arch (b) dome (c) beam (d) triangle
  23. 23.True or false: a shelf on two brackets uses triangles. (a) True (b) False
  24. 24.🔺 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?
  25. 25.🔺 Why can an arch carry heavy loads? (a) it works in compression (b) it is very light (c) it bends easily (d) it is hollow
  26. 26.🔺 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?
  27. 27.Which of these uses a dome? (a) an igloo (b) a crane arm (c) a shelf on two brackets (d) a plank over a drain
  28. 28.True or false: a bicycle frame uses triangles. (a) False (b) True
  29. 29.🔺 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?
  30. 30.Which of these uses triangles? (a) a shelf on two brackets (b) an electric pylon (c) an old stone bridge (d) a slab over a canal
  31. 31.Which of these uses triangles? (a) a slab over a canal (b) a fort gateway (c) a truss bridge side (d) an igloo
  32. 32.🔺 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?
  33. 33.True or false: a slab over a canal uses a beam. (a) False (b) True
  34. 34.Which of these uses a beam? (a) a truss bridge side (b) a round palace roof (c) a roof truss (d) a slab over a canal
  35. 35.🔺 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
  36. 36.🔺 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
  37. 37.True or false: a roof truss uses an arch. (a) False (b) True
  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 strong shape does a bicycle frame use? (a) arch (b) triangle (c) dome (d) beam
  40. 40.Which of these uses triangles? (a) a round palace roof (b) a shelf on two brackets (c) an igloo (d) a bicycle frame

Answer key

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

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