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