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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 635 · 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) paint it (b) make it bigger (c) take off a side (d) add a diagonal brace
  2. 2.🔺 Which strong shape does a roof truss use? (a) beam (b) dome (c) triangle (d) arch
  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.🔺 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) wobbly (b) rigid
  5. 5.🔺 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?
  6. 6.🔺 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
  7. 7.True or false: a crane arm uses triangles. (a) True (b) False
  8. 8.🔺 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?
  9. 9.Which of these uses a beam? (a) a curved stone doorway (b) a truss bridge side (c) an electric pylon (d) a lintel over a door
  10. 10.🔺 Which strong shape does a lintel over a door use? (a) arch (b) dome (c) triangle (d) beam
  11. 11.🔺 Which strong shape does an old stone bridge use? (a) beam (b) triangle (c) arch (d) dome
  12. 12.🔺 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
  13. 13.🔺 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?
  14. 14.True or false: a round palace roof uses an arch. (a) False (b) True
  15. 15.🔺 Which strong shape does a truss bridge side use? (a) triangle (b) beam (c) arch (d) dome
  16. 16.🔺 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?
  17. 17.Which of these uses a beam? (a) a shelf on two brackets (b) a crane arm (c) an igloo (d) an electric pylon
  18. 18.🔺 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
  19. 19.🔺 Which strong shape does a curved stone doorway use? (a) triangle (b) dome (c) arch (d) beam
  20. 20.🔺 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?
  21. 21.Which of these uses a dome? (a) an igloo (b) a plank over a drain (c) a lintel over a door (d) an old stone bridge
  22. 22.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it works in compression (c) it bends easily (d) it is very light
  23. 23.True or false: a lintel over a door uses a beam. (a) False (b) True
  24. 24.True or false: a bicycle frame uses an arch. (a) False (b) True
  25. 25.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
  26. 26.🔺 A beam bends under a load. Its top side is … (a) stretched (tension) (b) squeezed (compression) (c) floating (d) not affected
  27. 27.Which of these uses an arch? (a) an old stone bridge (b) an electric pylon (c) an igloo (d) a shelf on two brackets
  28. 28.🔺 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?
  29. 29.🔺 Which strong shape does an igloo use? (a) triangle (b) dome (c) arch (d) beam
  30. 30.True or false: a crane arm uses a dome. (a) True (b) False
  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 shape keeps its shape best when its corners are pinned? (a) hexagon (b) square (c) triangle (d) rectangle
  33. 33.🔺 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?
  34. 34.True or false: a crane arm uses an arch. (a) True (b) False
  35. 35.Which of these uses triangles? (a) an electric pylon (b) a slab over a canal (c) a planetarium roof (d) an old stone bridge
  36. 36.🔺 Which strong shape does a crane arm use? (a) beam (b) dome (c) arch (d) triangle
  37. 37.True or false: a fort gateway uses an arch. (a) True (b) False
  38. 38.True or false: an electric pylon uses a beam. (a) False (b) True
  39. 39.🔺 Which strong shape does an electric pylon use? (a) dome (b) beam (c) triangle (d) arch
  40. 40.🔺 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?

Answer key

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

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