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