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