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