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