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