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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 165 · 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 hexagon is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
  2. 2.🔺 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
  3. 3.Which of these uses an arch? (a) a crane arm (b) an electric pylon (c) a round palace roof (d) an old stone bridge
  4. 4.🔺 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
  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) squeezed (compression) (b) floating (c) stretched (tension) (d) not affected
  7. 7.🔺 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
  8. 8.🔺 Which strong shape does a truss bridge side use? (a) dome (b) arch (c) beam (d) triangle
  9. 9.Which of these uses triangles? (a) a round palace roof (b) a curved stone doorway (c) a plank over a drain (d) a bicycle frame
  10. 10.🔺 Which strong shape does an electric pylon use? (a) beam (b) triangle (c) arch (d) dome
  11. 11.🔺 One side of a straw bridge is a row of 2 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  12. 12.🔺 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?
  13. 13.Which of these uses a beam? (a) a bicycle frame (b) a planetarium roof (c) a round palace roof (d) a lintel over a door
  14. 14.🔺 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?
  15. 15.🔺 Which strong shape does an igloo use? (a) triangle (b) dome (c) beam (d) arch
  16. 16.Which of these uses triangles? (a) a lintel over a door (b) a plank over a drain (c) a planetarium roof (d) a truss bridge side
  17. 17.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) make it bigger (c) paint it (d) add a diagonal brace
  18. 18.Which of these uses a beam? (a) a roof truss (b) a bicycle frame (c) a plank over a drain (d) an igloo
  19. 19.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  20. 20.Which of these uses a dome? (a) a shelf on two brackets (b) a roof truss (c) a bicycle frame (d) a planetarium roof
  21. 21.True or false: an electric pylon uses triangles. (a) True (b) False
  22. 22.🔺 Which strong shape does a roof truss use? (a) beam (b) arch (c) dome (d) triangle
  23. 23.True or false: a shelf on two brackets uses a beam. (a) True (b) False
  24. 24.🔺 One side of a straw bridge is a row of 13 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 strong shape does a shelf on two brackets use? (a) arch (b) dome (c) triangle (d) beam
  26. 26.True or false: an old stone bridge uses an arch. (a) True (b) False
  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.True or false: a round palace roof uses triangles. (a) False (b) True
  29. 29.🔺 Which strong shape does a lintel over a door use? (a) triangle (b) beam (c) arch (d) dome
  30. 30.🔺 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?
  31. 31.True or false: a crane arm uses a dome. (a) False (b) True
  32. 32.🔺 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?
  33. 33.Which of these uses triangles? (a) an igloo (b) an old stone bridge (c) a curved stone doorway (d) a roof truss
  34. 34.Which of these uses triangles? (a) a shelf on two brackets (b) a crane arm (c) a curved stone doorway (d) a plank over a drain
  35. 35.🔺 Why can an arch carry heavy loads? (a) it is very light (b) it bends easily (c) it works in compression (d) it is hollow
  36. 36.🔺 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?
  37. 37.🔺 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?
  38. 38.🔺 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?
  39. 39.🔺 Which strong shape does a curved stone doorway use? (a) beam (b) dome (c) triangle (d) arch
  40. 40.True or false: a curved stone doorway uses an arch. (a) False (b) True

Answer key

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

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