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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 457 · 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 truss bridge side uses a dome. (a) True (b) False
  2. 2.🔺 A beam bends under a load. Its top side is … (a) squeezed (compression) (b) not affected (c) stretched (tension) (d) floating
  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 an old stone bridge use? (a) triangle (b) dome (c) arch (d) beam
  5. 5.🔺 Which strong shape does an igloo use? (a) triangle (b) dome (c) arch (d) beam
  6. 6.🔺 Which strong shape does a planetarium roof use? (a) arch (b) beam (c) triangle (d) dome
  7. 7.Which of these uses a beam? (a) an igloo (b) a curved stone doorway (c) a plank over a drain (d) an electric pylon
  8. 8.🔺 Which shape keeps its shape best when its corners are pinned? (a) triangle (b) rectangle (c) square (d) hexagon
  9. 9.Which of these uses a dome? (a) a lintel over a door (b) a shelf on two brackets (c) an old stone bridge (d) an igloo
  10. 10.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) make it bigger (c) add a diagonal brace (d) paint it
  11. 11.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it is very light (c) it works in compression (d) it bends easily
  12. 12.Which of these uses a beam? (a) a lintel over a door (b) an old stone bridge (c) a roof truss (d) a planetarium roof
  13. 13.True or false: a slab over a canal uses a beam. (a) False (b) True
  14. 14.🔺 Which strong shape does an electric pylon use? (a) beam (b) dome (c) arch (d) triangle
  15. 15.🔺 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?
  16. 16.True or false: an igloo uses a dome. (a) True (b) False
  17. 17.🔺 A flat frame has 7 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  18. 18.Which of these uses an arch? (a) an old stone bridge (b) a round palace roof (c) a truss bridge side (d) an igloo
  19. 19.🔺 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?
  20. 20.🔺 Which strong shape does a lintel over a door use? (a) beam (b) triangle (c) dome (d) arch
  21. 21.🔺 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?
  22. 22.Which of these uses triangles? (a) a round palace roof (b) a fort gateway (c) a curved stone doorway (d) a crane arm
  23. 23.🔺 Which strong shape does a round palace roof use? (a) arch (b) beam (c) dome (d) triangle
  24. 24.🔺 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?
  25. 25.True or false: a truss bridge side uses an arch. (a) False (b) True
  26. 26.🔺 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?
  27. 27.🔺 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?
  28. 28.🔺 One side of a straw bridge is a row of 5 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 planetarium roof uses triangles. (a) True (b) False
  30. 30.🔺 One side of a straw bridge is a row of 14 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  31. 31.True or false: a crane arm uses an arch. (a) True (b) False
  32. 32.🔺 Which strong shape does a shelf on two brackets use? (a) beam (b) dome (c) arch (d) triangle
  33. 33.Which of these uses a dome? (a) a round palace roof (b) a bicycle frame (c) an electric pylon (d) a roof truss
  34. 34.🔺 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?
  35. 35.🔺 Which strong shape does a roof truss use? (a) dome (b) triangle (c) beam (d) arch
  36. 36.True or false: a curved stone doorway uses an arch. (a) True (b) False
  37. 37.🔺 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?
  38. 38.Which of these uses triangles? (a) a bicycle frame (b) an igloo (c) a curved stone doorway (d) a slab over a canal
  39. 39.Which of these uses a dome? (a) an electric pylon (b) a bicycle frame (c) a planetarium roof (d) a shelf on two brackets
  40. 40.True or false: an electric pylon uses a dome. (a) True (b) False

Answer key

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

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