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.🔺 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?
- 2.🔺 Which strong shape does a bicycle frame use? (a) arch (b) dome (c) beam (d) triangle
- 3.🔺 Which strong shape does a roof truss use? (a) arch (b) dome (c) triangle (d) beam
- 4.🔺 Which strong shape does a curved stone doorway use? (a) arch (b) triangle (c) beam (d) dome
- 5.🔺 Which strong shape does a round palace roof use? (a) arch (b) beam (c) dome (d) triangle
- 6.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it is very light (c) it bends easily (d) it works in compression
- 7.🔺 Which strong shape does an electric pylon use? (a) arch (b) dome (c) beam (d) triangle
- 8.Which of these uses a beam? (a) an old stone bridge (b) a shelf on two brackets (c) a crane arm (d) an electric pylon
- 9.🔺 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?
- 10.🔺 Which strong shape does an igloo use? (a) arch (b) triangle (c) dome (d) beam
- 11.🔺 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?
- 12.Which of these uses triangles? (a) a round palace roof (b) a planetarium roof (c) an old stone bridge (d) an electric pylon
- 13.Which of these uses an arch? (a) a curved stone doorway (b) a truss bridge side (c) a slab over a canal (d) an electric pylon
- 14.True or false: a crane arm uses triangles. (a) False (b) True
- 15.🔺 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?
- 16.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) rectangle (c) square (d) triangle
- 17.🔺 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?
- 18.🔺 Which strong shape does a slab over a canal use? (a) arch (b) beam (c) triangle (d) dome
- 19.🔺 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?
- 20.Which of these uses an arch? (a) a fort gateway (b) a round palace roof (c) a shelf on two brackets (d) a lintel over a door
- 21.🔺 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?
- 22.True or false: a plank over a drain uses a dome. (a) True (b) False
- 23.True or false: a crane arm uses an arch. (a) True (b) False
- 24.Which of these uses triangles? (a) a curved stone doorway (b) a lintel over a door (c) a roof truss (d) a plank over a drain
- 25.🔺 Which strong shape does a lintel over a door use? (a) beam (b) triangle (c) arch (d) dome
- 26.🔺 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?
- 27.🔺 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?
- 28.True or false: a roof truss uses triangles. (a) True (b) False
- 29.🔺 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
- 30.Which of these uses a beam? (a) a plank over a drain (b) a bicycle frame (c) a curved stone doorway (d) a planetarium roof
- 31.True or false: a truss bridge side uses a dome. (a) False (b) True
- 32.🔺 Which strong shape does a crane arm use? (a) triangle (b) dome (c) arch (d) beam
- 33.🔺 One side of a straw bridge is a row of 7 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
- 34.True or false: a truss bridge side uses triangles. (a) False (b) True
- 35.Which of these uses triangles? (a) an igloo (b) a lintel over a door (c) a fort gateway (d) a crane arm
- 36.🔺 A beam bends under a load. Its top side is … (a) floating (b) squeezed (compression) (c) not affected (d) stretched (tension)
- 37.🔺 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?
- 38.True or false: a fort gateway uses an arch. (a) True (b) False
- 39.True or false: a plank over a drain uses an arch. (a) False (b) True
- 40.Which of these uses a dome? (a) a bicycle frame (b) an igloo (c) a crane arm (d) an electric pylon
Answer key
- 31
- triangle
- triangle
- arch
- dome
- it works in compression
- triangle
- a shelf on two brackets
- 8
- dome
- 6
- an electric pylon
- a curved stone doorway
- True
- 3
- triangle
- 23
- beam
- 11
- a fort gateway
- 1
- False
- False
- a roof truss
- beam
- 17
- 2
- True
- rigid
- a plank over a drain
- False
- triangle
- 15
- True
- a crane arm
- squeezed (compression)
- 3
- True
- False
- an igloo
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