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 strong shape does a planetarium roof use? (a) beam (b) triangle (c) dome (d) arch
- 2.🔺 Which strong shape does a shelf on two brackets use? (a) beam (b) triangle (c) arch (d) dome
- 3.🔺 Which strong shape does an old stone bridge use? (a) dome (b) triangle (c) beam (d) arch
- 4.🔺 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
- 5.Which of these uses an arch? (a) an old stone bridge (b) a roof truss (c) a slab over a canal (d) a bicycle frame
- 6.🔺 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?
- 7.🔺 How do engineers stop a square frame from wobbling? (a) paint it (b) add a diagonal brace (c) make it bigger (d) take off a side
- 8.🔺 Which strong shape does a slab over a canal use? (a) arch (b) triangle (c) dome (d) beam
- 9.🔺 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
- 10.True or false: a bicycle frame uses triangles. (a) True (b) False
- 11.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) hexagon (c) rectangle (d) triangle
- 12.Which of these uses triangles? (a) a plank over a drain (b) a planetarium roof (c) an electric pylon (d) a slab over a canal
- 13.Which of these uses an arch? (a) a slab over a canal (b) a truss bridge side (c) a curved stone doorway (d) a planetarium roof
- 14.True or false: a planetarium roof uses triangles. (a) True (b) False
- 15.🔺 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
- 16.Which of these uses a dome? (a) an igloo (b) a fort gateway (c) a slab over a canal (d) a crane arm
- 17.🔺 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?
- 18.True or false: a round palace roof uses a dome. (a) False (b) True
- 19.🔺 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?
- 20.🔺 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?
- 21.🔺 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?
- 22.🔺 Which strong shape does a roof truss use? (a) arch (b) triangle (c) beam (d) dome
- 23.🔺 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?
- 24.🔺 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?
- 25.Which of these uses triangles? (a) a round palace roof (b) an old stone bridge (c) a truss bridge side (d) a planetarium roof
- 26.Which of these uses a beam? (a) a slab over a canal (b) an igloo (c) an electric pylon (d) a roof truss
- 27.🔺 Which strong shape does a fort gateway use? (a) arch (b) dome (c) triangle (d) beam
- 28.🔺 Which strong shape does a crane arm use? (a) dome (b) arch (c) triangle (d) beam
- 29.🔺 Which strong shape does a round palace roof use? (a) triangle (b) beam (c) arch (d) dome
- 30.🔺 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?
- 31.🔺 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?
- 32.🔺 Which strong shape does a lintel over a door use? (a) arch (b) triangle (c) dome (d) beam
- 33.Which of these uses a beam? (a) a roof truss (b) a plank over a drain (c) a truss bridge side (d) a fort gateway
- 34.True or false: a fort gateway uses triangles. (a) True (b) False
- 35.🔺 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
- 36.Which of these uses a dome? (a) an electric pylon (b) a roof truss (c) a fort gateway (d) a round palace roof
- 37.Which of these uses an arch? (a) a roof truss (b) a truss bridge side (c) a bicycle frame (d) a fort gateway
- 38.🔺 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) rigid (b) wobbly
- 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.True or false: an electric pylon uses a dome. (a) True (b) False
Answer key
- dome
- beam
- arch
- it works in compression
- an old stone bridge
- 29
- add a diagonal brace
- beam
- rigid
- True
- triangle
- an electric pylon
- a curved stone doorway
- False
- rigid
- an igloo
- 9
- True
- 3
- 4
- 23
- triangle
- 8
- 31
- a truss bridge side
- a slab over a canal
- arch
- triangle
- dome
- 1
- 25
- beam
- a plank over a drain
- False
- wobbly
- a round palace roof
- a fort gateway
- wobbly
- 7
- False
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