Engineering/Technology/Architecture - undergraduate-level subjects
In GATE EY the Engineering/Technology/Architecture domain is tested at undergraduate depth: short numerical problems from engineering mathematics, solid mechanics, thermodynamics and heat transfer, fluid mechanics, circuits and measurement, with a design-stream flavour (load paths, tolerances, unit systems). Marks are lost to setup errors far more often than to hard mathematics.
How the questions are built
- Start from a conservation statement - mass, momentum, energy, charge - before touching numbers.
- Use a constitutive or state relation to convert the conserved quantity into a measurable one: σ = Eε, q = −k dT/dx, V = IR, pV = nRT.
- Count boundary and initial conditions: a steady one-dimensional field needs two, a transient one needs an initial condition as well.
- Check dimensional homogeneity; it catches most algebra slips for free.
- Convert to SI base units first (mm² → 10⁻⁶ m², MPa → 10⁶ Pa), then round at the end.
Worked example
A 500 mm² steel tie rod (E = 200 GPa, L = 1.2 m) carries 60 kN. Axial extension: δ = PL/AE = (60×10³ × 1.2)/(500×10⁻⁶ × 200×10⁹) = 7.2×10⁴/1.0×10⁸ = 7.2×10⁻⁴ m = 0.72 mm. Cross-check: σ = P/A = 120 MPa, so ε = σ/E = 6×10⁻⁴ and δ = εL = 0.72 mm. The two routes agreeing is the proof that the setup is right.
Traps
- Radius entered where diameter is given (a factor of four on area).
- Gauge versus absolute pressure, or °C used inside a ratio where K is required.
- Series resistances (thermal or electrical) added as though they were parallel.
- Sign conventions for work and heat mixed within one solution.
- Intermediate rounding that breaks a narrow numeric-answer tolerance.