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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 306 · 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.🔺 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?
  2. 2.True or false: a curved stone doorway uses an arch. (a) True (b) False
  3. 3.🔺 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?
  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.🔺 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?
  6. 6.🔺 A beam bends under a load. Its top side is … (a) not affected (b) stretched (tension) (c) squeezed (compression) (d) floating
  7. 7.🔺 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) rigid (b) wobbly
  8. 8.🔺 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?
  9. 9.True or false: a roof truss uses a beam. (a) False (b) True
  10. 10.🔺 Which strong shape does a shelf on two brackets use? (a) dome (b) beam (c) triangle (d) arch
  11. 11.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it is very light (c) it is hollow (d) it works in compression
  12. 12.True or false: a crane arm uses a beam. (a) False (b) True
  13. 13.🔺 Which strong shape does a truss bridge side use? (a) dome (b) triangle (c) arch (d) beam
  14. 14.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) add a diagonal brace (c) make it bigger (d) paint it
  15. 15.True or false: a slab over a canal uses triangles. (a) False (b) True
  16. 16.Which of these uses a beam? (a) a crane arm (b) a truss bridge side (c) a fort gateway (d) a slab over a canal
  17. 17.Which of these uses a dome? (a) an old stone bridge (b) an igloo (c) a lintel over a door (d) an electric pylon
  18. 18.True or false: a plank over a drain uses a dome. (a) False (b) True
  19. 19.Which of these uses an arch? (a) an old stone bridge (b) a crane arm (c) a truss bridge side (d) a round palace roof
  20. 20.🔺 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
  21. 21.Which of these uses triangles? (a) an old stone bridge (b) a truss bridge side (c) a round palace roof (d) a curved stone doorway
  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.🔺 One side of a straw bridge is a row of 15 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  24. 24.True or false: a curved stone doorway uses a beam. (a) True (b) False
  25. 25.🔺 Which strong shape does an electric pylon use? (a) dome (b) arch (c) beam (d) triangle
  26. 26.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) hexagon (c) triangle (d) rectangle
  27. 27.🔺 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
  28. 28.🔺 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?
  29. 29.🔺 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?
  30. 30.True or false: a bicycle frame uses triangles. (a) False (b) True
  31. 31.🔺 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?
  32. 32.🔺 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?
  33. 33.Which of these uses a beam? (a) a bicycle frame (b) a lintel over a door (c) an electric pylon (d) a roof truss
  34. 34.🔺 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
  35. 35.🔺 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?
  36. 36.🔺 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?
  37. 37.True or false: a lintel over a door uses a beam. (a) True (b) False
  38. 38.True or false: a curved stone doorway uses a dome. (a) True (b) False
  39. 39.Which of these uses a dome? (a) a round palace roof (b) a crane arm (c) a shelf on two brackets (d) a plank over a drain
  40. 40.🔺 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) wobbly (b) rigid

Answer key

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

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