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