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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 214 · 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.Which of these uses a dome? (a) an old stone bridge (b) an electric pylon (c) a slab over a canal (d) a round palace roof
  2. 2.Which of these uses an arch? (a) an old stone bridge (b) an electric pylon (c) a truss bridge side (d) a lintel over a door
  3. 3.True or false: an electric pylon uses a beam. (a) True (b) False
  4. 4.True or false: a lintel over a door uses a dome. (a) False (b) True
  5. 5.🔺 Which shape keeps its shape best when its corners are pinned? (a) rectangle (b) hexagon (c) square (d) triangle
  6. 6.🔺 A beam bends under a load. Its top side is … (a) stretched (tension) (b) floating (c) squeezed (compression) (d) not affected
  7. 7.🔺 Which strong shape does a truss bridge side use? (a) triangle (b) beam (c) arch (d) dome
  8. 8.🔺 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?
  9. 9.🔺 Which strong shape does a crane arm use? (a) beam (b) arch (c) triangle (d) dome
  10. 10.🔺 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
  11. 11.Which of these uses an arch? (a) a truss bridge side (b) an electric pylon (c) a round palace roof (d) a curved stone doorway
  12. 12.True or false: a crane arm uses triangles. (a) True (b) False
  13. 13.🔺 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
  14. 14.🔺 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?
  15. 15.🔺 Which strong shape does a curved stone doorway use? (a) beam (b) dome (c) arch (d) triangle
  16. 16.Which of these uses triangles? (a) a planetarium roof (b) a bicycle frame (c) an igloo (d) a round palace roof
  17. 17.Which of these uses triangles? (a) a slab over a canal (b) a curved stone doorway (c) a round palace roof (d) a roof truss
  18. 18.🔺 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?
  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.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) take off a side (c) paint it (d) add a diagonal brace
  21. 21.🔺 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?
  22. 22.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) dome (c) beam (d) arch
  23. 23.🔺 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
  24. 24.🔺 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
  25. 25.True or false: a slab over a canal uses a beam. (a) True (b) False
  26. 26.🔺 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?
  27. 27.True or false: a shelf on two brackets uses triangles. (a) True (b) False
  28. 28.Which of these uses a beam? (a) a truss bridge side (b) a crane arm (c) a shelf on two brackets (d) a curved stone doorway
  29. 29.🔺 Which strong shape does a fort gateway use? (a) beam (b) triangle (c) arch (d) dome
  30. 30.🔺 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?
  31. 31.🔺 Why can an arch carry heavy loads? (a) it works in compression (b) it is very light (c) it is hollow (d) it bends easily
  32. 32.🔺 Which strong shape does a slab over a canal use? (a) arch (b) triangle (c) beam (d) dome
  33. 33.Which of these uses a dome? (a) a bicycle frame (b) a planetarium roof (c) a truss bridge side (d) an electric pylon
  34. 34.True or false: a roof truss uses an arch. (a) False (b) True
  35. 35.🔺 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) wobbly (b) rigid
  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.🔺 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?
  38. 38.🔺 Which strong shape does an old stone bridge use? (a) dome (b) beam (c) triangle (d) arch
  39. 39.🔺 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?
  40. 40.Which of these uses a dome? (a) a roof truss (b) an igloo (c) a shelf on two brackets (d) a truss bridge side

Answer key

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

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