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