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