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: a round palace roof uses a beam. (a) True (b) False
- 2.🔺 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?
- 3.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
- 4.🔺 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
- 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) wobbly (b) rigid
- 6.Which of these uses triangles? (a) a shelf on two brackets (b) a curved stone doorway (c) a fort gateway (d) a roof truss
- 7.🔺 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?
- 8.🔺 Which strong shape does a truss bridge side use? (a) triangle (b) dome (c) arch (d) beam
- 9.🔺 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?
- 10.🔺 Why can an arch carry heavy loads? (a) it is very light (b) it is hollow (c) it works in compression (d) it bends easily
- 11.🔺 Which shape keeps its shape best when its corners are pinned? (a) triangle (b) square (c) rectangle (d) hexagon
- 12.Which of these uses triangles? (a) a lintel over a door (b) a crane arm (c) a slab over a canal (d) a planetarium roof
- 13.🔺 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?
- 14.🔺 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?
- 15.True or false: an old stone bridge uses an arch. (a) False (b) True
- 16.🔺 Which strong shape does a roof truss use? (a) dome (b) arch (c) triangle (d) beam
- 17.🔺 Which strong shape does a plank over a drain use? (a) dome (b) arch (c) triangle (d) beam
- 18.🔺 A beam bends under a load. Its top side is … (a) floating (b) stretched (tension) (c) squeezed (compression) (d) not affected
- 19.🔺 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?
- 20.🔺 One side of a straw bridge is a row of 10 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
- 21.True or false: a lintel over a door uses triangles. (a) False (b) True
- 22.Which of these uses a dome? (a) a truss bridge side (b) an igloo (c) a shelf on two brackets (d) a lintel over a door
- 23.True or false: a plank over a drain uses an arch. (a) True (b) False
- 24.True or false: a planetarium roof uses triangles. (a) False (b) True
- 25.🔺 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
- 26.🔺 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?
- 27.🔺 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?
- 28.Which of these uses a dome? (a) a round palace roof (b) a bicycle frame (c) a slab over a canal (d) an old stone bridge
- 29.🔺 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?
- 30.Which of these uses triangles? (a) a round palace roof (b) a truss bridge side (c) a lintel over a door (d) an igloo
- 31.Which of these uses triangles? (a) a shelf on two brackets (b) an igloo (c) an old stone bridge (d) an electric pylon
- 32.Which of these uses a beam? (a) an igloo (b) a bicycle frame (c) a roof truss (d) a plank over a drain
- 33.🔺 Which strong shape does a round palace roof use? (a) beam (b) triangle (c) dome (d) arch
- 34.🔺 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?
- 35.True or false: an igloo uses triangles. (a) True (b) False
- 36.🔺 Which strong shape does an electric pylon use? (a) arch (b) dome (c) triangle (d) beam
- 37.True or false: a round palace roof uses a dome. (a) True (b) False
- 38.True or false: a curved stone doorway uses a dome. (a) False (b) True
- 39.Which of these uses an arch? (a) a round palace roof (b) a crane arm (c) an old stone bridge (d) a planetarium roof
- 40.🔺 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?
Answer key
- False
- 5
- a planetarium roof
- wobbly
- rigid
- a roof truss
- 27
- triangle
- 6
- it works in compression
- triangle
- a crane arm
- 11
- 1
- True
- triangle
- beam
- squeezed (compression)
- 17
- 21
- False
- an igloo
- False
- False
- rigid
- 23
- 7
- a round palace roof
- 5
- a truss bridge side
- an electric pylon
- a plank over a drain
- dome
- 25
- False
- triangle
- True
- False
- an old stone bridge
- 4
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