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 square is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
- 2.🔺 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?
- 3.True or false: a curved stone doorway uses an arch. (a) True (b) False
- 4.🔺 Which strong shape does a crane arm use? (a) arch (b) triangle (c) dome (d) beam
- 5.🔺 Which strong shape does a lintel over a door use? (a) dome (b) arch (c) triangle (d) beam
- 6.🔺 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
- 7.🔺 A frame shaped like a hexagon is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) wobbly (b) rigid
- 8.True or false: a planetarium roof uses a dome. (a) False (b) True
- 9.🔺 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
- 10.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
- 11.🔺 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?
- 12.🔺 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?
- 13.Which of these uses triangles? (a) a curved stone doorway (b) a round palace roof (c) a bicycle frame (d) a fort gateway
- 14.True or false: a slab over a canal uses a beam. (a) True (b) False
- 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.🔺 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
- 17.Which of these uses a beam? (a) a curved stone doorway (b) a roof truss (c) a plank over a drain (d) a planetarium roof
- 18.🔺 How do engineers stop a square frame from wobbling? (a) add a diagonal brace (b) paint it (c) take off a side (d) make it bigger
- 19.🔺 Which strong shape does a fort gateway use? (a) dome (b) triangle (c) beam (d) arch
- 20.True or false: an igloo uses a beam. (a) True (b) False
- 21.Which of these uses an arch? (a) a roof truss (b) a slab over a canal (c) a planetarium roof (d) a fort gateway
- 22.🔺 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?
- 23.True or false: a round palace roof uses triangles. (a) False (b) True
- 24.True or false: a lintel over a door uses a beam. (a) True (b) False
- 25.Which of these uses an arch? (a) an old stone bridge (b) a plank over a drain (c) a lintel over a door (d) a truss bridge side
- 26.🔺 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) rigid (b) wobbly
- 27.True or false: an old stone bridge uses an arch. (a) False (b) True
- 28.🔺 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?
- 29.🔺 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?
- 30.Which of these uses an arch? (a) a shelf on two brackets (b) a curved stone doorway (c) a roof truss (d) an electric pylon
- 31.🔺 Which strong shape does an electric pylon use? (a) arch (b) dome (c) triangle (d) beam
- 32.True or false: an electric pylon uses a beam. (a) True (b) False
- 33.🔺 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?
- 34.🔺 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
- 35.True or false: a roof truss uses an arch. (a) False (b) True
- 36.True or false: a crane arm uses a beam. (a) True (b) False
- 37.Which of these uses triangles? (a) a truss bridge side (b) an igloo (c) a lintel over a door (d) a curved stone doorway
- 38.🔺 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?
- 39.🔺 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?
- 40.🔺 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?
Answer key
- rigid
- 27
- True
- triangle
- beam
- wobbly
- wobbly
- True
- rigid
- triangle
- 3
- 11
- a bicycle frame
- True
- 5
- rigid
- a plank over a drain
- add a diagonal brace
- arch
- False
- a fort gateway
- 23
- False
- True
- an old stone bridge
- wobbly
- True
- 5
- 6
- a curved stone doorway
- triangle
- False
- 9
- wobbly
- False
- False
- a truss bridge side
- 4
- 7
- 3
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