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.🔺 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?
- 2.Which of these uses a dome? (a) a fort gateway (b) a crane arm (c) an electric pylon (d) a planetarium roof
- 3.Which of these uses an arch? (a) an electric pylon (b) a plank over a drain (c) an old stone bridge (d) a truss bridge side
- 4.🔺 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?
- 5.🔺 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
- 6.Which of these uses a beam? (a) a truss bridge side (b) a bicycle frame (c) a slab over a canal (d) a round palace roof
- 7.🔺 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?
- 8.True or false: a curved stone doorway uses an arch. (a) False (b) True
- 9.🔺 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
- 10.🔺 A beam bends under a load. Its top side is … (a) not affected (b) floating (c) stretched (tension) (d) squeezed (compression)
- 11.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) paint it (c) take off a side (d) add a diagonal brace
- 12.🔺 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?
- 13.True or false: a slab over a canal uses a beam. (a) False (b) True
- 14.🔺 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?
- 15.True or false: a fort gateway uses an arch. (a) False (b) True
- 16.🔺 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?
- 17.🔺 Which strong shape does an electric pylon use? (a) dome (b) arch (c) beam (d) triangle
- 18.🔺 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?
- 19.🔺 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) wobbly (b) rigid
- 20.True or false: a curved stone doorway uses triangles. (a) True (b) False
- 21.🔺 Which strong shape does an igloo use? (a) dome (b) arch (c) triangle (d) beam
- 22.Which of these uses triangles? (a) a curved stone doorway (b) a round palace roof (c) a slab over a canal (d) a truss bridge side
- 23.🔺 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?
- 24.🔺 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?
- 25.🔺 Why can an arch carry heavy loads? (a) it bends easily (b) it works in compression (c) it is very light (d) it is hollow
- 26.🔺 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?
- 27.True or false: a round palace roof uses a beam. (a) True (b) False
- 28.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) triangle (c) rectangle (d) hexagon
- 29.🔺 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?
- 30.True or false: a round palace roof uses a dome. (a) True (b) False
- 31.Which of these uses an arch? (a) a round palace roof (b) a crane arm (c) a curved stone doorway (d) an igloo
- 32.🔺 Which strong shape does a slab over a canal use? (a) arch (b) beam (c) dome (d) triangle
- 33.True or false: a plank over a drain uses triangles. (a) False (b) True
- 34.🔺 Which strong shape does an old stone bridge use? (a) arch (b) triangle (c) beam (d) dome
- 35.🔺 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
- 36.True or false: a plank over a drain uses an arch. (a) True (b) False
- 37.🔺 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?
- 38.True or false: an electric pylon uses triangles. (a) True (b) False
- 39.Which of these uses an arch? (a) a plank over a drain (b) a truss bridge side (c) a fort gateway (d) a planetarium roof
- 40.True or false: an igloo uses a dome. (a) False (b) True
Answer key
- 5
- a planetarium roof
- an old stone bridge
- 11
- wobbly
- a slab over a canal
- 3
- True
- rigid
- squeezed (compression)
- add a diagonal brace
- 4
- True
- 7
- True
- 6
- triangle
- 19
- wobbly
- False
- dome
- a truss bridge side
- 31
- 8
- it works in compression
- 29
- False
- triangle
- 9
- True
- a curved stone doorway
- beam
- False
- arch
- wobbly
- False
- 13
- True
- a fort gateway
- True
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