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 old stone bridge uses an arch. (a) True (b) False
- 2.🔺 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?
- 3.🔺 Which strong shape does an electric pylon use? (a) arch (b) triangle (c) dome (d) beam
- 4.True or false: an old stone bridge uses a beam. (a) False (b) True
- 5.🔺 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?
- 6.Which of these uses a beam? (a) a fort gateway (b) a slab over a canal (c) a roof truss (d) an igloo
- 7.True or false: a bicycle frame uses triangles. (a) True (b) False
- 8.🔺 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
- 9.🔺 Which strong shape does a plank over a drain use? (a) triangle (b) arch (c) beam (d) dome
- 10.🔺 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?
- 11.Which of these uses a beam? (a) a round palace roof (b) a lintel over a door (c) a curved stone doorway (d) a roof truss
- 12.True or false: a roof truss uses triangles. (a) True (b) False
- 13.🔺 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?
- 14.🔺 One side of a straw bridge is a row of 8 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
- 15.🔺 Which strong shape does a crane arm use? (a) triangle (b) beam (c) arch (d) dome
- 16.🔺 A beam bends under a load. Its top side is … (a) not affected (b) floating (c) stretched (tension) (d) squeezed (compression)
- 17.Which of these uses an arch? (a) a planetarium roof (b) a shelf on two brackets (c) a lintel over a door (d) a curved stone doorway
- 18.Which of these uses triangles? (a) a shelf on two brackets (b) an old stone bridge (c) a slab over a canal (d) an electric pylon
- 19.🔺 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?
- 20.Which of these uses a dome? (a) a planetarium roof (b) a truss bridge side (c) a crane arm (d) a slab over a canal
- 21.🔺 Which strong shape does a slab over a canal use? (a) triangle (b) arch (c) beam (d) dome
- 22.🔺 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) wobbly (b) rigid
- 23.🔺 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?
- 24.🔺 Which strong shape does an old stone bridge use? (a) dome (b) beam (c) triangle (d) arch
- 25.🔺 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?
- 26.True or false: a slab over a canal uses a beam. (a) False (b) True
- 27.Which of these uses a dome? (a) a slab over a canal (b) a lintel over a door (c) a truss bridge side (d) a round palace roof
- 28.🔺 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?
- 29.🔺 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?
- 30.🔺 Which shape keeps its shape best when its corners are pinned? (a) hexagon (b) triangle (c) square (d) rectangle
- 31.🔺 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
- 32.🔺 Which strong shape does a fort gateway use? (a) dome (b) beam (c) arch (d) triangle
- 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 beam? (a) a crane arm (b) a plank over a drain (c) an old stone bridge (d) a bicycle frame
- 35.🔺 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?
- 36.Which of these uses triangles? (a) a slab over a canal (b) a shelf on two brackets (c) a planetarium roof (d) a roof truss
- 37.Which of these uses a beam? (a) a shelf on two brackets (b) an old stone bridge (c) a curved stone doorway (d) a planetarium roof
- 38.True or false: a plank over a drain uses a beam. (a) True (b) False
- 39.🔺 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
- 40.Which of these uses a dome? (a) an electric pylon (b) a roof truss (c) a fort gateway (d) an igloo
Answer key
- True
- 1
- triangle
- False
- 13
- a slab over a canal
- True
- rigid
- beam
- 3
- a lintel over a door
- True
- 3
- 17
- triangle
- squeezed (compression)
- a curved stone doorway
- an electric pylon
- 2
- a planetarium roof
- beam
- wobbly
- 19
- arch
- 31
- True
- a round palace roof
- 29
- 7
- triangle
- rigid
- arch
- 6
- a plank over a drain
- 25
- a roof truss
- a shelf on two brackets
- True
- wobbly
- an igloo
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