This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
Evaluate and adapt your rough sketches. Your team will now prepare a tender. To start, choose the best design in your team. This means you need to choose one sketch from all the rough sketches. To help you choose, answer the following questions:

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Step 1: Does the structure appear to be made from aluminium?
The structure uses thin wooden or plastic members typical of model kits, not the shiny, rigid look of aluminium.
No
Step 2: Does the structure appear to come from a model kit?
It has joints and members consistent with popsicle sticks or balsa wood kits, not custom fabrication.
Yes
Step 3: Is the structure durable, and will it last long without sagging?
The design has insufficient bracing and long unsupported spans, leading to sagging under load over time.
No
Step 4: Will the structure support cars and dynamic loads?
The slender members and poor triangulation cannot handle vehicle weight or vibrations (dynamic loads).
No
Step 5: Will the structure withstand contact with water?
Wooden/plastic materials absorb water, leading to weakening; no waterproofing visible.
No
Step 6: Does the structure meet these requirements?
No – it fails durability, load-bearing, and environmental criteria.
Step 7: Adaptations needed
- Use aluminium tubing for members (strong, lightweight, corrosion-resistant).
- Add diagonal bracing for triangulation to prevent sagging and handle dynamics.
- Shorten spans, increase member thickness for cars (e.g., 1:20 scale load ~50 kg).
- Ensure watertight joints.
Rough sketch of original (poor design):
Top view: Long straight beams, few diagonals
/-------\
| |
\---------/
Lacks triangles.
Improved sketch (Warren truss style):
Supports spans up to 1 m, load 100 kg with aluminium.
Final adapted design meets all requirements: durable, no sag, supports dynamic car loads, water-resistant.
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- No Step 5: Will the structure withstand contact with water? Wooden/plastic materials absorb water, leading to weakening; no waterproofing visible.
- No Step 6: Does the structure meet these requirements? No – it fails durability, load-bearing, and environmental criteria.
- Add diagonal bracing for triangulation to prevent sagging and handle dynamics.
- Shorten spans, increase member thickness for cars (e.g., 1:20 scale load ~50 kg).