Mechanics
- Equilibrium: ΣF = 0, ΣM = 0
- Axial stress σ = P/A; bending stress σ = Mc/I
- Newton's second law ΣF = ma; kinetic energy ½mv²
Fluids
- Continuity: Q = A₁V₁ = A₂V₂
- Bernoulli: p/γ + V²/2g + z = constant along a streamline
- Reynolds number Re = ρVD/μ; laminar below about 2,300 in pipes
Thermodynamics and heat
- Ideal gas: PV = nRT
- Carnot efficiency η = 1 − TL/TH (absolute temperatures)
- Conduction q = kAΔT/L
Electrical and economics
- Ohm's law V = IR; power P = VI
- Series resistors add; parallel: 1/R = Σ1/Rᵢ
- Present worth P = F/(1 + i)ⁿ
Test yourself on FE
Reading a summary is the easy part. Take the free 10-question diagnostic to see which of these domains you actually have, then drill the rest.