Engineering Worksheet: Strong Shapes
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.Which of these uses a beam? (a) an electric pylon (b) a lintel over a door (c) a fort gateway (d) a bicycle frame
- 2.🔺 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?
- 3.🔺 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
- 4.🔺 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?
- 5.🔺 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?
- 6.🔺 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?
- 7.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
- 8.True or false: a round palace roof uses a dome. (a) False (b) True
- 9.🔺 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?
- 10.🔺 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?
- 11.Which of these uses triangles? (a) a truss bridge side (b) a round palace roof (c) a plank over a drain (d) a curved stone doorway
- 12.True or false: an igloo uses a dome. (a) False (b) True
- 13.🔺 Which strong shape does a round palace roof use? (a) arch (b) dome (c) triangle (d) beam
- 14.🔺 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?
- 15.🔺 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
- 16.🔺 Which strong shape does a planetarium roof use? (a) dome (b) beam (c) arch (d) triangle
- 17.True or false: an igloo uses triangles. (a) False (b) True
- 18.🔺 Which strong shape does a bicycle frame use? (a) beam (b) triangle (c) dome (d) arch
- 19.🔺 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
- 20.True or false: a bicycle frame uses triangles. (a) True (b) False
- 21.Which of these uses an arch? (a) a fort gateway (b) a bicycle frame (c) a plank over a drain (d) a slab over a canal
- 22.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) dome (c) beam (d) arch
- 23.Which of these uses a dome? (a) a planetarium roof (b) a curved stone doorway (c) a roof truss (d) an electric pylon
- 24.Which of these uses a dome? (a) a curved stone doorway (b) a round palace roof (c) an electric pylon (d) a slab over a canal
- 25.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it is very light (c) it works in compression (d) it is hollow
- 26.True or false: an old stone bridge uses a beam. (a) False (b) True
- 27.🔺 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?
- 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.🔺 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?
- 30.🔺 Which strong shape does a crane arm use? (a) dome (b) beam (c) arch (d) triangle
- 31.🔺 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?
- 32.🔺 Which strong shape does a fort gateway use? (a) dome (b) beam (c) arch (d) triangle
- 33.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) add a diagonal brace (c) paint it (d) make it bigger
- 34.🔺 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?
- 35.True or false: a bicycle frame uses an arch. (a) True (b) False
- 36.🔺 Which strong shape does a shelf on two brackets use? (a) triangle (b) dome (c) beam (d) arch
- 37.True or false: a lintel over a door uses an arch. (a) False (b) True
- 38.True or false: a slab over a canal uses a beam. (a) False (b) True
- 39.🔺 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?
- 40.🔺 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) rigid (b) wobbly
Answer key
- a lintel over a door
- 29
- rigid
- 5
- 5
- 4
- triangle
- True
- 27
- 11
- a truss bridge side
- True
- dome
- 9
- wobbly
- dome
- False
- triangle
- wobbly
- True
- a fort gateway
- beam
- a planetarium roof
- a round palace roof
- it works in compression
- False
- 6
- 17
- 2
- triangle
- 3
- arch
- add a diagonal brace
- 23
- False
- beam
- False
- True
- 7
- rigid
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