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 of these uses a beam? (a) a crane arm (b) a truss bridge side (c) a slab over a canal (d) a roof truss
- 2.🔺 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?
- 3.🔺 Which strong shape does an electric pylon use? (a) triangle (b) beam (c) dome (d) arch
- 4.True or false: a crane arm uses an arch. (a) False (b) True
- 5.🔺 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?
- 6.Which of these uses triangles? (a) a plank over a drain (b) a round palace roof (c) a shelf on two brackets (d) an electric pylon
- 7.Which of these uses a dome? (a) a slab over a canal (b) a truss bridge side (c) a round palace roof (d) an old stone bridge
- 8.True or false: a curved stone doorway uses an arch. (a) True (b) False
- 9.🔺 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
- 10.True or false: an electric pylon uses an arch. (a) False (b) True
- 11.🔺 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
- 12.True or false: a roof truss uses triangles. (a) False (b) True
- 13.🔺 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?
- 14.🔺 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
- 15.🔺 Which strong shape does a fort gateway use? (a) beam (b) dome (c) triangle (d) arch
- 16.🔺 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?
- 17.True or false: an old stone bridge uses an arch. (a) False (b) True
- 18.True or false: a roof truss uses a dome. (a) True (b) False
- 19.🔺 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?
- 20.True or false: a bicycle frame uses a dome. (a) True (b) False
- 21.🔺 Which strong shape does a bicycle frame use? (a) beam (b) triangle (c) arch (d) dome
- 22.🔺 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
- 23.🔺 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?
- 24.🔺 Which strong shape does an old stone bridge use? (a) triangle (b) arch (c) beam (d) dome
- 25.🔺 Which shape keeps its shape best when its corners are pinned? (a) rectangle (b) hexagon (c) square (d) triangle
- 26.🔺 Which strong shape does a crane arm use? (a) dome (b) arch (c) triangle (d) beam
- 27.🔺 A beam bends under a load. Its top side is … (a) not affected (b) stretched (tension) (c) floating (d) squeezed (compression)
- 28.🔺 Which strong shape does a shelf on two brackets use? (a) dome (b) beam (c) triangle (d) arch
- 29.Which of these uses a beam? (a) a lintel over a door (b) a curved stone doorway (c) a planetarium roof (d) a truss bridge side
- 30.True or false: a curved stone doorway uses a beam. (a) True (b) False
- 31.🔺 Which strong shape does a round palace roof use? (a) beam (b) triangle (c) dome (d) arch
- 32.Which of these uses an arch? (a) an old stone bridge (b) an electric pylon (c) a planetarium roof (d) a lintel over a door
- 33.True or false: a round palace roof uses a beam. (a) False (b) True
- 34.🔺 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?
- 35.Which of these uses an arch? (a) a shelf on two brackets (b) a bicycle frame (c) a plank over a drain (d) a fort gateway
- 36.🔺 Which strong shape does a slab over a canal use? (a) dome (b) triangle (c) arch (d) beam
- 37.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) make it bigger (c) paint it (d) add a diagonal brace
- 38.🔺 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?
- 39.🔺 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?
- 40.True or false: a lintel over a door uses a beam. (a) False (b) True
Answer key
- a slab over a canal
- 2
- triangle
- False
- 5
- an electric pylon
- a round palace roof
- True
- rigid
- False
- it works in compression
- True
- 23
- rigid
- arch
- 1
- True
- False
- 9
- False
- triangle
- wobbly
- 6
- arch
- triangle
- triangle
- squeezed (compression)
- beam
- a lintel over a door
- False
- dome
- an old stone bridge
- False
- 13
- a fort gateway
- beam
- add a diagonal brace
- 7
- 3
- True
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