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