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