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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 28 · 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) not affected (c) stretched (tension) (d) squeezed (compression)
  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.True or false: a plank over a drain uses a beam. (a) False (b) True
  4. 4.🔺 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
  5. 5.🔺 Which strong shape does a slab over a canal use? (a) dome (b) beam (c) arch (d) triangle
  6. 6.Which of these uses triangles? (a) a crane arm (b) a plank over a drain (c) a curved stone doorway (d) a planetarium roof
  7. 7.🔺 Which strong shape does an electric pylon use? (a) arch (b) beam (c) triangle (d) dome
  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.True or false: a truss bridge side uses triangles. (a) False (b) True
  10. 10.🔺 Which strong shape does a bicycle frame use? (a) arch (b) triangle (c) beam (d) dome
  11. 11.Which of these uses a dome? (a) a slab over a canal (b) a planetarium roof (c) a truss bridge side (d) a plank over a drain
  12. 12.Which of these uses triangles? (a) a curved stone doorway (b) an old stone bridge (c) an electric pylon (d) a shelf on two brackets
  13. 13.🔺 Why can an arch carry heavy loads? (a) it is very light (b) it works in compression (c) it bends easily (d) it is hollow
  14. 14.🔺 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?
  15. 15.True or false: a roof truss uses a dome. (a) True (b) False
  16. 16.🔺 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?
  17. 17.🔺 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?
  18. 18.🔺 Which shape keeps its shape best when its corners are pinned? (a) rectangle (b) hexagon (c) triangle (d) square
  19. 19.Which of these uses triangles? (a) an old stone bridge (b) a lintel over a door (c) an igloo (d) a bicycle frame
  20. 20.🔺 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) rigid (b) wobbly
  21. 21.🔺 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?
  22. 22.🔺 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?
  23. 23.🔺 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
  24. 24.Which of these uses an arch? (a) an electric pylon (b) a fort gateway (c) a bicycle frame (d) a planetarium roof
  25. 25.🔺 Which strong shape does a fort gateway use? (a) triangle (b) beam (c) dome (d) arch
  26. 26.🔺 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?
  27. 27.🔺 Which strong shape does a curved stone doorway use? (a) arch (b) beam (c) dome (d) triangle
  28. 28.🔺 Which strong shape does a planetarium roof use? (a) dome (b) triangle (c) beam (d) arch
  29. 29.True or false: a roof truss uses triangles. (a) True (b) False
  30. 30.🔺 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?
  31. 31.Which of these uses a dome? (a) a lintel over a door (b) a slab over a canal (c) a shelf on two brackets (d) a round palace roof
  32. 32.🔺 Which strong shape does a plank over a drain use? (a) dome (b) arch (c) beam (d) triangle
  33. 33.Which of these uses an arch? (a) a planetarium roof (b) an old stone bridge (c) a plank over a drain (d) a round palace roof
  34. 34.🔺 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?
  35. 35.🔺 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) wobbly (b) rigid
  36. 36.Which of these uses a beam? (a) a planetarium roof (b) a crane arm (c) a truss bridge side (d) a shelf on two brackets
  37. 37.🔺 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?
  38. 38.🔺 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?
  39. 39.True or false: a planetarium roof uses a dome. (a) False (b) True
  40. 40.🔺 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

Answer key

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

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