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.True or false: an electric pylon uses triangles. (a) False (b) True
- 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.🔺 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
- 4.🔺 Which strong shape does a bicycle frame use? (a) dome (b) arch (c) triangle (d) beam
- 5.Which of these uses triangles? (a) an igloo (b) a roof truss (c) an old stone bridge (d) a plank over a drain
- 6.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) rectangle (c) triangle (d) square
- 7.🔺 Which strong shape does a shelf on two brackets use? (a) beam (b) triangle (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 4 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 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?
- 11.🔺 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) wobbly (b) rigid
- 12.🔺 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?
- 13.🔺 Which strong shape does a curved stone doorway use? (a) beam (b) triangle (c) arch (d) dome
- 14.🔺 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?
- 15.Which of these uses a beam? (a) a truss bridge side (b) a bicycle frame (c) an old stone bridge (d) a slab over a canal
- 16.🔺 Which strong shape does an old stone bridge use? (a) beam (b) dome (c) triangle (d) arch
- 17.Which of these uses a beam? (a) a plank over a drain (b) a roof truss (c) a curved stone doorway (d) a planetarium roof
- 18.🔺 A flat frame has 4 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
- 19.🔺 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
- 20.🔺 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
- 21.Which of these uses a beam? (a) a roof truss (b) a shelf on two brackets (c) a crane arm (d) a bicycle frame
- 22.Which of these uses a dome? (a) a lintel over a door (b) a roof truss (c) a truss bridge side (d) a round palace roof
- 23.🔺 Which strong shape does an electric pylon use? (a) triangle (b) dome (c) beam (d) arch
- 24.🔺 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?
- 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.🔺 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?
- 27.🔺 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?
- 28.Which of these uses an arch? (a) a plank over a drain (b) an old stone bridge (c) an electric pylon (d) a lintel over a door
- 29.🔺 A beam bends under a load. Its top side is … (a) squeezed (compression) (b) not affected (c) floating (d) stretched (tension)
- 30.🔺 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
- 31.🔺 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?
- 32.Which of these uses triangles? (a) a lintel over a door (b) a slab over a canal (c) a curved stone doorway (d) a truss bridge side
- 33.True or false: a bicycle frame uses a dome. (a) False (b) True
- 34.🔺 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?
- 35.True or false: a round palace roof uses an arch. (a) True (b) False
- 36.🔺 Which strong shape does a round palace roof use? (a) arch (b) triangle (c) dome (d) beam
- 37.🔺 Which strong shape does an igloo use? (a) beam (b) triangle (c) arch (d) dome
- 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 triangles? (a) an electric pylon (b) a fort gateway (c) a round palace roof (d) a planetarium roof
- 40.True or false: a roof truss uses an arch. (a) True (b) False
Answer key
- True
- 27
- rigid
- triangle
- a roof truss
- triangle
- beam
- dome
- 9
- 5
- wobbly
- 7
- arch
- 13
- a slab over a canal
- arch
- a plank over a drain
- 1
- add a diagonal brace
- it works in compression
- a shelf on two brackets
- a round palace roof
- triangle
- 19
- 25
- 15
- 3
- an old stone bridge
- squeezed (compression)
- rigid
- 4
- a truss bridge side
- False
- 9
- False
- dome
- dome
- 31
- an electric pylon
- False
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