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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 690 · 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.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) paint it (c) take off a side (d) add a diagonal brace
  2. 2.Which of these uses an arch? (a) an igloo (b) an old stone bridge (c) a shelf on two brackets (d) a round palace roof
  3. 3.🔺 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?
  4. 4.🔺 Which strong shape does a round palace roof use? (a) beam (b) triangle (c) arch (d) dome
  5. 5.Which of these uses a beam? (a) a planetarium roof (b) a plank over a drain (c) an igloo (d) a round palace roof
  6. 6.Which of these uses a dome? (a) an old stone bridge (b) a planetarium roof (c) a lintel over a door (d) a truss bridge side
  7. 7.🔺 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?
  8. 8.🔺 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?
  9. 9.Which of these uses a beam? (a) a crane arm (b) a roof truss (c) a round palace roof (d) a slab over a canal
  10. 10.🔺 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?
  11. 11.🔺 Which strong shape does a plank over a drain use? (a) beam (b) arch (c) triangle (d) dome
  12. 12.🔺 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?
  13. 13.🔺 A beam bends under a load. Its top side is … (a) squeezed (compression) (b) stretched (tension) (c) not affected (d) floating
  14. 14.🔺 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?
  15. 15.True or false: a round palace roof uses triangles. (a) False (b) True
  16. 16.🔺 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
  17. 17.Which of these uses triangles? (a) a lintel over a door (b) a plank over a drain (c) a fort gateway (d) a truss bridge side
  18. 18.🔺 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
  19. 19.True or false: a planetarium roof uses a beam. (a) False (b) True
  20. 20.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) hexagon (c) triangle (d) rectangle
  21. 21.🔺 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?
  22. 22.Which of these uses triangles? (a) an old stone bridge (b) a lintel over a door (c) a curved stone doorway (d) an electric pylon
  23. 23.🔺 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?
  24. 24.🔺 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?
  25. 25.True or false: a lintel over a door uses a beam. (a) True (b) False
  26. 26.True or false: a round palace roof uses a dome. (a) True (b) False
  27. 27.🔺 Which strong shape does a lintel over a door use? (a) beam (b) arch (c) dome (d) triangle
  28. 28.🔺 Which strong shape does a shelf on two brackets use? (a) triangle (b) arch (c) beam (d) dome
  29. 29.True or false: an old stone bridge uses a dome. (a) True (b) False
  30. 30.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it is hollow (c) it is very light (d) it works in compression
  31. 31.🔺 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
  32. 32.Which of these uses a beam? (a) a fort gateway (b) a lintel over a door (c) a round palace roof (d) an igloo
  33. 33.Which of these uses triangles? (a) a curved stone doorway (b) a roof truss (c) a shelf on two brackets (d) a fort gateway
  34. 34.🔺 One side of a straw bridge is a row of 12 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  35. 35.🔺 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?
  36. 36.🔺 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?
  37. 37.🔺 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?
  38. 38.🔺 A frame shaped like a square 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.🔺 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) wobbly (b) rigid
  40. 40.True or false: an igloo uses a beam. (a) False (b) True

Answer key

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

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