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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 408 · 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 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
  2. 2.🔺 Which strong shape does a round palace roof use? (a) triangle (b) dome (c) beam (d) arch
  3. 3.🔺 How do engineers stop a square frame from wobbling? (a) paint it (b) add a diagonal brace (c) take off a side (d) make it bigger
  4. 4.Which of these uses an arch? (a) a slab over a canal (b) a bicycle frame (c) a shelf on two brackets (d) a fort gateway
  5. 5.Which of these uses a dome? (a) a shelf on two brackets (b) an old stone bridge (c) an electric pylon (d) a round palace roof
  6. 6.🔺 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
  7. 7.Which of these uses triangles? (a) a round palace roof (b) a roof truss (c) an igloo (d) a shelf on two brackets
  8. 8.🔺 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?
  9. 9.🔺 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
  10. 10.🔺 Which strong shape does a lintel over a door use? (a) beam (b) arch (c) triangle (d) dome
  11. 11.🔺 A beam bends under a load. Its top side is … (a) squeezed (compression) (b) floating (c) not affected (d) stretched (tension)
  12. 12.🔺 Which shape keeps its shape best when its corners are pinned? (a) triangle (b) square (c) hexagon (d) rectangle
  13. 13.🔺 Which strong shape does a crane arm use? (a) triangle (b) arch (c) dome (d) beam
  14. 14.🔺 Which strong shape does an electric pylon use? (a) triangle (b) beam (c) arch (d) dome
  15. 15.🔺 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
  16. 16.🔺 Which strong shape does a bicycle frame use? (a) beam (b) triangle (c) arch (d) dome
  17. 17.Which of these uses a dome? (a) a crane arm (b) an electric pylon (c) an old stone bridge (d) a planetarium roof
  18. 18.🔺 Which strong shape does a roof truss use? (a) triangle (b) dome (c) arch (d) beam
  19. 19.🔺 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?
  20. 20.Which of these uses a beam? (a) a crane arm (b) a plank over a drain (c) an old stone bridge (d) a bicycle frame
  21. 21.True or false: a crane arm uses triangles. (a) True (b) False
  22. 22.🔺 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?
  23. 23.🔺 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?
  24. 24.🔺 One side of a straw bridge is a row of 9 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  25. 25.Which of these uses an arch? (a) a planetarium roof (b) a curved stone doorway (c) a lintel over a door (d) an electric pylon
  26. 26.Which of these uses triangles? (a) an old stone bridge (b) a crane arm (c) a shelf on two brackets (d) a planetarium roof
  27. 27.🔺 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?
  28. 28.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  29. 29.🔺 Which strong shape does a shelf on two brackets use? (a) dome (b) arch (c) beam (d) triangle
  30. 30.🔺 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?
  31. 31.Which of these uses triangles? (a) an old stone bridge (b) a lintel over a door (c) a truss bridge side (d) a planetarium roof
  32. 32.🔺 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) rigid (b) wobbly
  33. 33.True or false: an old stone bridge uses an arch. (a) True (b) False
  34. 34.True or false: a crane arm uses a dome. (a) False (b) True
  35. 35.🔺 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?
  36. 36.True or false: a lintel over a door uses a beam. (a) False (b) True
  37. 37.🔺 Which strong shape does a truss bridge side use? (a) arch (b) triangle (c) beam (d) dome
  38. 38.🔺 Which strong shape does an igloo use? (a) triangle (b) dome (c) arch (d) beam
  39. 39.True or false: an electric pylon uses triangles. (a) True (b) False
  40. 40.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) beam (c) arch (d) dome

Answer key

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

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