Engineering Fundamentals and Applied Science
This domain tests whether you can reduce an engineering problem to governing principles, choose consistent units, and judge whether the result is physically plausible. Expect statics, dynamics, material behavior, thermodynamics, electrical fundamentals, and dimensional analysis rather than isolated formula recall.
Core rules and concepts
- Draw a free-body diagram before writing equilibrium equations; include self-weight when significant and show assumed directions.
- Use coherent SI units: N, m, s, Pa. Convert mm² to m² by multiplying by 10⁻⁶; do not mix kN with mm without converting.
- Apply conservation laws-force, moment, energy, mass-and state the system boundary or control volume.
- Distinguish yield strength from ultimate strength and gauge pressure from absolute pressure.
- Carry extra digits through intermediate steps and round only the final answer to the stated significant figures.
Worked example
A simply supported beam spans 4.0 m. A 12 kN point load acts 1.0 m from the left support. Neglect self-weight. Sum moments about the left support: R_right × 4.0 = 12 × 1.0, so R_right = 3.0 kN. Vertical equilibrium gives R_left = 12 − 3.0 = 9.0 kN. Check with moments about the right support: 9.0 × 4.0 = 36 kN·m and 12 × 3.0 = 36 kN·m, so the reactions are consistent.
Traps
Forgetting unit conversions; assuming a reaction equals the applied load; omitting self-weight without checking its effect; and reporting a negative magnitude without explaining direction.
Exam focus
When a question gives mixed units, convert first and label the converted quantity. When two methods are possible, use the second as a plausibility check, not as a substitute for a clear free-body diagram.