Engineering
Logic gates, bridge building, gears, and structural analysis
- NewUniversity / research
Euler Column Buckling
Elastic column stability with P_cr = π²EI/(KL)²: choose end conditions, effective length factor K, first mode shape, and load ratio P/P_cr.
- NewSchool
Mohr Circle & Stress Transformation
Plane stress σx, σy, τxy: Mohr circle, transformed stresses on a rotated element, principal stresses, τmax, and θp.
- NewUniversity / research
Fracture Mechanics: Griffith / K_IC
Mode-I crack: K_I = Yσ√(πa), compare with K_IC, critical crack size, critical stress, and safe/unstable crack growth.
- NewSchool
Thin-Walled Pressure Vessel Stress
Cylinder vs sphere membrane stresses: hoop σθ, longitudinal σz, von Mises stress, r/t thin-wall check, and yield safety factor.
- NewUniversity / research
Jeffcott Rotor Critical Speed
Single disk on a flexible shaft: ω_n = √(k/m), unbalance response, whirl orbit, phase lag, and critical-speed crossing.
- NewSchool
Beam Deflection: Unit Load Method
Simply supported Euler-Bernoulli beam with point load P and UDL w: closed-form deflection vs virtual-work unit-load integral.
- NewUniversity / research
Hertzian Contact Stress
Sphere or cylinder on a flat: effective modulus, contact patch, peak pressure p0, elastic approach, and subsurface shear estimate.
- NewUniversity / research
Fatigue S-N Curve + Miner Rule
Basquin S-N curve with optional endurance limit, three cyclic load blocks, and Palmgren-Miner cumulative damage D = Σ n_i/N_i.
- NewUniversity / research
Vibration Isolation Transmissibility
SDOF base-excitation isolator: transmissibility T(r,ζ), resonance peak, phase lag, and the isolation region above r = √2.
- NewUniversity / research
Heat Exchanger ε-NTU
Parallel and counter-flow heat exchanger calculator: NTU = UA/Cmin, capacity ratio Cr, effectiveness, heat transfer, and outlet temperatu…
- NewUniversity / research
de Laval Nozzle Mach Number
Quasi-1D converging-diverging nozzle: area-Mach relation, choking pressure ratio, subsonic/supersonic branches, and a qualitative normal-…
- NewUniversity / research
Torsional Drivetrain Resonance
Two-inertia torsional drivetrain: shaft stiffness and damping, twist angle, first natural mode, resonance response, and optional backlash…
- NewUniversity / research
Cart–Pole: LQR vs MPC vs PID
Nonlinear cart inverted pendulum: linearize about upright φ = θ, discrete-time LQR from DARE (Q, R → K), finite-horizon LQ MPC with DARE…
- NewUniversity / research
Bode & Nyquist from Pole–Zero Map
Click the s-plane to place real or complex-conjugate poles (●) and zeros (×); G(s)=K∏(s−z)/∏(s−p). Live Bode magnitude/phase and Nyquist…
- NewUniversity / research
Root Locus: 1 + K·G(s) = 0
Same pole–zero plant editor as the Bode/Nyquist map: trace closed-loop poles as K sweeps log-spaced, asymptotes and real-axis locus sketc…
- NewUniversity / research
Particle Filter Localization (MCL)
1D or 2D toy robot with fixed range beacons: predict with noisy odometry, update with Gaussian range likelihood, systematic resample on l…
- NewUniversity / research
EKF SLAM (toy)
Augmented state [x,y,θ, landmarks…]: noisy planar odometry predict, range & bearing updates with known IDs, map–robot covariance coupling…
- NewUniversity / research
MPC Pendulum Swing-Up (MPPI)
Sampling-based Model Predictive Control: K candidate torque rollouts over horizon H, MPPI cost-weighted update, bounded torque |u|≤u_max…
- NewSchool
A* / Dijkstra Pathfinding (Grid)
Interactive 40×28 grid pathfinder: A* (f=g+h), Dijkstra, or greedy best-first; Manhattan / octile / Euclidean heuristics, 4- vs 8-connect…
- NewSchool
Minimum Spanning Tree (Prim & Kruskal)
Random planar points, complete Euclidean-weighted graph: step through Prim from a root or Kruskal with union–find; compare total MST weight.
- NewSchool
Maze Generators + A* (Grid)
Perfect mazes on the same 40×28 cell lattice as the pathfinding lab: recursive backtracker, Wilson, Eller, or randomized Prim; then solve…
- NewSchool
RRT Path Planner (grid)
Same 40×28 wall map as A*: random samples, nearest-neighbor steer, goal bias, collision-checked edges; grow an RRT and compare summary st…
- NewSchool
Differential Drive Odometry
ω_L, ω_R → v, ω with two-wheel kinematics; integrate pose and watch dead-reckoning drift from biased wheel radii / track and noisy rate r…
- NewUniversity / research
Holonomic 2D Hovercraft MPC (MPPI)
Planar double integrator with ‖u‖₂ thrust cap: sampling-based MPPI steers to a draggable goal while soft-penalizing circular obstacles —…
- NewUniversity / research
3-Link 3D Arm Inverse Kinematics (CCD)
Continuation of two-link-arm-ik into 3D: 3 revolute joints (yaw + 2 pitches) solved with constrained Cyclic Coordinate Descent. Drag targ…
- NewUniversity / research
Bicycle Model & Stanley Controller
Kinematic bicycle (rear-axle): δ = θ_e + atan2(k_e·e, v) Stanley path-following law. Pick oval, race-track, lemniscate, sine-road or S-cu…
- NewSchool
Stress–Strain & Hooke’s Law
Qualitative σ–ε curve: elastic Hooke region, yield, strain hardening, necking, and fracture. Drag strain and tune E, σ_y, σ_u.
- NewSchool
Quadcopter 2D (Pitch)
Side view: two rotors, PD on thrust split vs pitch — whiteboard quad slice.
- NewSchool
Watt Governor (schematic)
Flyballs and sleeve vs RPM; steam throttle gap — speed feedback cartoon.
- FeaturedSchool
Logic Gate Simulator
AND, OR, NOT, NAND, XOR. Drag, drop, connect, see output.
- School
Truth Table Generator
Build a circuit, auto-generate the truth table.
- NewSchool
Bridge Builder
Place beams and joints. Apply load. See stress distribution.
- School
Gear Train
Connect gears, adjust teeth count, see speed and torque ratios.
- NewSchool
Planetary Gear Set
Sun, planets, internal ring: Willis equation, hold Sun/ring/carrier and compare speed ratios.
- NewSchool
Beam Q, M & N Diagrams
Simply supported beam: point load + UDL; shear, bending moment, and uniform axial diagrams.
- NewUniversity / research
AM / FM Modulation
Carrier + message: AM envelope vs FM phase; waveform and DFT spectrum snapshot.
- NewUniversity / research
Digital Modulation Eye Diagram
NRZ / PAM-4 eye diagram with raised-cosine shaping, ISI, AWGN, timing jitter, and vertical opening estimate.
- NewUniversity / research
OFDM Subcarriers
IFFT subcarriers with cyclic prefix, multipath delay tap, one-tap ZF, and constellation distortion when CP is too short.
- NewSchool
Planar Truss (triangle)
Symmetric 3-bar truss: bar forces and reactions vs span, height, and apex load.
- NewUniversity / research
PID Controller (1D)
Cart on a track: Kp, Ki, Kd and random velocity impulses toward set-point x = 0.
- NewUniversity / research
PID Tuning Sandbox
Second-order plant step response: overshoot, rise/settling time, Ziegler–Nichols Ku/Pu hints, actuator saturation, and disturbance reject…
- NewSchool
Two-Link Arm IK (2R)
Planar 2R manipulator: mouse goal, elbow-up / elbow-down inverse kinematics; joint angles live.
- NewSchool
Four-Bar Linkage
Crank–rocker geometry with coupler-curve trace; link lengths and crank speed.
- NewSchool
Cam & Follower
Eccentric circular cam and knife-edge follower: lift and estimated velocity.
- NewSchool
Finite State Machine
Traffic-light Moore machine: timed green–yellow–red cycle or manual step; state graph.
- NewUniversity / research
ADC / DAC (Sampling)
Sine → samples → quantization → ZOH; Nyquist and optional aliasing demo.
- NewSchool
Stepper Motor (4-phase)
Full-step vs half-step commutation; rotor snaps as coils A–B–A′–B′ sequence.
- NewUniversity / research
Thermostat vs PID
First-order room: on/off hysteresis vs continuous PID heater power.