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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 277 · 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 strong shape does a crane arm use? (a) beam (b) dome (c) arch (d) triangle
  2. 2.🔺 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?
  3. 3.Which of these uses a dome? (a) a lintel over a door (b) a planetarium roof (c) a roof truss (d) a bicycle frame
  4. 4.🔺 Which shape keeps its shape best when its corners are pinned? (a) triangle (b) hexagon (c) square (d) rectangle
  5. 5.True or false: an electric pylon uses triangles. (a) True (b) False
  6. 6.Which of these uses a dome? (a) a truss bridge side (b) a lintel over a door (c) an igloo (d) a fort gateway
  7. 7.🔺 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?
  8. 8.🔺 How do engineers stop a square frame from wobbling? (a) paint it (b) make it bigger (c) add a diagonal brace (d) take off a side
  9. 9.Which of these uses triangles? (a) a fort gateway (b) a round palace roof (c) a bicycle frame (d) a shelf on two brackets
  10. 10.🔺 Which strong shape does a fort gateway use? (a) beam (b) dome (c) triangle (d) arch
  11. 11.🔺 Which strong shape does a truss bridge side use? (a) arch (b) dome (c) beam (d) triangle
  12. 12.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) arch (c) beam (d) dome
  13. 13.Which of these uses triangles? (a) an igloo (b) a lintel over a door (c) a shelf on two brackets (d) a crane arm
  14. 14.🔺 A beam bends under a load. Its top side is … (a) floating (b) stretched (tension) (c) not affected (d) squeezed (compression)
  15. 15.🔺 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
  16. 16.🔺 Which strong shape does a slab over a canal use? (a) triangle (b) beam (c) dome (d) arch
  17. 17.🔺 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
  18. 18.🔺 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?
  19. 19.🔺 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?
  20. 20.Which of these uses triangles? (a) an old stone bridge (b) a fort gateway (c) a shelf on two brackets (d) a roof truss
  21. 21.🔺 Which strong shape does a planetarium roof use? (a) dome (b) beam (c) triangle (d) arch
  22. 22.🔺 Which strong shape does a curved stone doorway use? (a) triangle (b) beam (c) dome (d) arch
  23. 23.🔺 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?
  24. 24.🔺 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
  25. 25.🔺 Which strong shape does a lintel over a door use? (a) dome (b) triangle (c) arch (d) beam
  26. 26.🔺 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?
  27. 27.Which of these uses an arch? (a) a crane arm (b) a roof truss (c) a truss bridge side (d) a curved stone doorway
  28. 28.True or false: an old stone bridge uses triangles. (a) True (b) False
  29. 29.🔺 Why can an arch carry heavy loads? (a) it is very light (b) it is hollow (c) it works in compression (d) it bends easily
  30. 30.Which of these uses a beam? (a) a curved stone doorway (b) a planetarium roof (c) a lintel over a door (d) a truss bridge side
  31. 31.🔺 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?
  32. 32.Which of these uses triangles? (a) a curved stone doorway (b) an old stone bridge (c) a truss bridge side (d) a lintel over a door
  33. 33.🔺 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
  34. 34.🔺 Which strong shape does a round palace roof use? (a) triangle (b) beam (c) arch (d) dome
  35. 35.Which of these uses an arch? (a) a lintel over a door (b) a shelf on two brackets (c) a round palace roof (d) an old stone bridge
  36. 36.🔺 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?
  37. 37.🔺 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?
  38. 38.🔺 Which strong shape does a bicycle frame use? (a) dome (b) beam (c) triangle (d) arch
  39. 39.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 3 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  40. 40.🔺 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

Answer key

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

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