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