Engineer's Notebook

Forces, structures and motion.

1. Beam deflectionδ = PL³/48EI
2. EquilibriumΣF = 0
3. Bending stressσ = My/I
4. Constant accelerationv² = u² + 2as

Heat, work and energy.

1. Ideal gas lawpV = nRT
2. First lawΔU = Q − W
3. Conductionq = −k dT/dx

Flow, pressure and drag.

1. ContinuityA₁v₁ = A₂v₂
2. Bernoulli's equationp + ½ρv² + ρgh = C
3. Reynolds numberRe = ρvD/μ

How materials stretch, yield and fail.

1. Hooke's lawσ = Eε
2. Thermal expansionΔL = αLΔT
3. Poisson's ratioν = −ε_lat/ε_ax

Circuits, power and signals.

1. Ohm's lawV = IR
2. Electrical powerP = VI
3. RC time constantτ = RC

Powertrains, braking and handling.

1. Power from torqueP = Tω
2. Weight transfer under brakingΔW = mah/L
3. Tyre friction limitF ≤ μN