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