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