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