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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 209 · 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) squeezed (compression) (c) stretched (tension) (d) not affected
  2. 2.Which of these uses triangles? (a) a lintel over a door (b) a round palace roof (c) an electric pylon (d) an igloo
  3. 3.True or false: a truss bridge side uses a dome. (a) True (b) False
  4. 4.🔺 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
  5. 5.🔺 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?
  6. 6.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it bends easily (c) it works in compression (d) it is very light
  7. 7.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) paint it (c) make it bigger (d) add a diagonal brace
  8. 8.🔺 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) rigid (b) wobbly
  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.Which of these uses triangles? (a) a plank over a drain (b) an old stone bridge (c) a round palace roof (d) a truss bridge side
  11. 11.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) rectangle (c) square (d) triangle
  12. 12.🔺 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?
  13. 13.Which of these uses a dome? (a) a lintel over a door (b) a fort gateway (c) a crane arm (d) a round palace roof
  14. 14.Which of these uses an arch? (a) a planetarium roof (b) a truss bridge side (c) a curved stone doorway (d) a bicycle frame
  15. 15.🔺 Which strong shape does an igloo use? (a) arch (b) triangle (c) dome (d) beam
  16. 16.True or false: a planetarium roof uses a dome. (a) True (b) False
  17. 17.🔺 Which strong shape does a crane arm use? (a) dome (b) arch (c) beam (d) triangle
  18. 18.Which of these uses an arch? (a) an old stone bridge (b) a roof truss (c) a crane arm (d) a plank over a drain
  19. 19.True or false: a round palace roof uses a beam. (a) True (b) False
  20. 20.🔺 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?
  21. 21.🔺 Which strong shape does a fort gateway use? (a) triangle (b) arch (c) dome (d) beam
  22. 22.🔺 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?
  23. 23.Which of these uses triangles? (a) an old stone bridge (b) a planetarium roof (c) an igloo (d) a roof truss
  24. 24.Which of these uses triangles? (a) a curved stone doorway (b) a shelf on two brackets (c) a crane arm (d) an old stone bridge
  25. 25.Which of these uses an arch? (a) a roof truss (b) a fort gateway (c) a shelf on two brackets (d) an electric pylon
  26. 26.🔺 Which strong shape does a plank over a drain use? (a) dome (b) triangle (c) arch (d) beam
  27. 27.🔺 Which strong shape does an electric pylon use? (a) triangle (b) beam (c) arch (d) dome
  28. 28.🔺 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
  29. 29.Which of these uses a beam? (a) a lintel over a door (b) a planetarium roof (c) a truss bridge side (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.🔺 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?
  32. 32.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 3 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  33. 33.Which of these uses a beam? (a) a plank over a drain (b) a curved stone doorway (c) an igloo (d) an electric pylon
  34. 34.🔺 Which strong shape does a truss bridge side use? (a) dome (b) arch (c) triangle (d) beam
  35. 35.Which of these uses a dome? (a) an igloo (b) a shelf on two brackets (c) a plank over a drain (d) a bicycle frame
  36. 36.🔺 Which strong shape does a planetarium roof use? (a) beam (b) triangle (c) dome (d) arch
  37. 37.🔺 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?
  38. 38.True or false: a crane arm uses triangles. (a) True (b) False
  39. 39.🔺 Which strong shape does a lintel over a door use? (a) triangle (b) dome (c) beam (d) arch
  40. 40.True or false: a slab over a canal uses an arch. (a) False (b) True

Answer key

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

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