⚗️ Interactive Labs
Move the sliders. Watch the theory respond — every curve below is computed live from the formulas in your chapters.
Lab 1 · Otto efficiency vs compression ratio
η = 1 − 1/r0.4. Feel why raising r has diminishing returns — and why knock caps it.
η = 56.5% ·
Lab 2 · Mohr circle explorer
Enter a plane-stress state. The circle, principals and Tresca/von Mises equivalents draw themselves.
Lab 3 · Beam deflection visualizer
Same beam (L = 4 m, EI = 10 MN·m²), three loadings. Deflection is drawn ×50 so you can see it.
Lab 4 · Pump affinity explorer
Speed ratio N/N₀. Flow follows N, head follows N², power follows N³ — small speed cuts save big power.
Lab 5 · Thin-cylinder safety explorer
Hoop = pd/2t must stay under allowable (200 MPa here). Push pressure or thin the wall and watch it fail.